ASTRONOMY 
LIBRARY 


'TABLES 


OF     THE     MOON; 


CONSTRUCTED  FOR  THE  USE  OF 


THE  AMERICAN  EPHEMERIS  AND  NAUTICAL  ALMANAC. 


BY 


PROFESSOR    BENJAMIN    PEIRCE,   LL.  D. 


PUBLISHED  BY  AUTHORITY  OF  THE  SECRETARY  OF  THE  NAVY. 


BUREAU  OP  NAVIGATION, 

WASHTNOTON. 

18C5. 


I*  a'*  **t*»*  *        •      • 

.7, '  >i'  v:  •;  • .; : 

•  '  3*   **  *  ft   '*'         


UNIVERSITY  PRESS: 
WELCH,   BIGELOW,  AND  COMPANY, 
CAMBRIDGE. 


PREFACE 

TO    THE   SECOND    EDITION. 


ONE  of  the  first  steps  in  the  preparation  of  the  American  Ephemeris  and  Nautical 
Almanac,  founded  by  Congress  in  March,  1849,  was  the  collection  of  materials  for  new 
Tables  of  the  Moon.  The  work  was  completed,  and  the  first  edition  of  the  American 
Tables  was  published  in  1853. 

Since  this  preliminary  step,  however  indispensable,  unavoidably  delayed  the  appearance 
of  the  Almanac,  I  am  very  solicitous  to  make  known,  here  and  elsewhere,  the  great  obli- 
gations which  American  astronomical  science  is  under  to  Hon.  John  P.  Kennedy,  then  the 
Secretary  of  the  Navy,  for  his  just  estimate  of  the  magnitude  and  importance  of  this  work. 
Although  the  processes  by  which  it  was  conducted  had  formed  no  part  of  his  study,  its 
objects  and  value  were  perfectly  understood  by  a  scholar  who  had  already  adorned  the 
literature  of  his  own  country  by  his  writings. 

The  American  Tables,  'as  is  stated  in  the  title-page  of  the  first  edition,  are  "  constructed 
from  Plana's  theory,  with  Airy's  and  Longstreth's  corrections,  Hansen's  two  inequalities  of 
long  period  arising  from  the  action  of  Venus,  and  Hansen's  values  of  the  secular  variations 
of  the  mean  motion  and  the  motion  of  the  perigee." 

The  formulas  of  Plana's  theory  were  taken,  not  from  Plana's  own  work,  but  from  pages 
Ixxiv.  -  Ixxx.  of  the  Introduction  to  the  Eeduction  of  the  Observations  of  the  Moon,  made 
at  the  Royal  Observatory,  at  Greenwich,  from  1750  to  1830. 

These  formulas  were  adopted  because  they  claimed  to  be  corrected  by  Plana  himself^ 
and,  what  is  of  more  importance,  because  they  had  been  compared  with  observation,  and 
formed  the  basis  of  Airy's  corrections  of  the  elements  of  the  Moon. 

The  term  0".8  sin  [23],  which  occurs  in  that  formula,  is  very  different  from  the  cor- 
responding term  3".3  sin  [23],  which  is  originally  given  by  Plana ;  but  it  appears  from  the 
remarks  given  on  page  Ixxxi.  of  the  Introduction  to  the  Lunar  Observations,  that  this 
correction  was  adopted  with  the  assent  of  Plana,  and  it  was,  therefore,  attributed  to  Plana 
in  the  American  Tables. 

Airy's  corrections  of  the  Lunar  elements  were  adopted  from  his  Memoir  in  Vol.  XVII. 
of  the  Memoirs  of  the  Eoyal  Astronomical  Society.  In  making  these  corrections,  the 
two  inequalities  given  at  that  time  by  Hansen,  and  produced  by  the  disturbing  force  of 
Venus,  were  introduced  in  the  comparison.  Therefore  it  was  necessary  to  introduce  these 
terms  also  into  the  American  Tables,  in  order  to  have  the  theory  which  had  been  verified 

3 


PREFACE. 

by  observation.  Very  different  values  of  these  terms  have  since  been  given  by  Hansen, 
and  are  introduced  into  his  Tables.  A  new  set  of  corrections  of  the  Lunar  elements  has 
also  been  made  by  Airy ;  but  these  corrections  were  published  several  years  after  the 
appearance  of  the  American  Tables. 

Just  before  the  final  preparation  of  the  American  Tables,  and  when  the  first  volume 
of  the  American  Ephemeris  was  on  the  eve  of  completion,  Longstreth's  empirical  correc- 
tions of  Plana's  formula  for  the  Moon's  longitude  were  communicated  to  me  by  their 
author ;  they  were  accompanied  by  a  table  of  comparisons  (published  in  the  Memoirs  of 
the  American  Philosophical  Society  for  1853)  which  sufficiently  attest  their  value  and 
propriety,  and  the  forthcoming  volume  of  the  Ephemeris  was  delayed  until  the  corre- 
sponding changes  were  computed  and  applied. 

The  present  edition  of  the  American  Tables  of  the  Moon  is  the  same  as  the  first,  with 
the  exception  of  the  correction  of  typographical  errors ;  the  substitution  of  the  Tables  of 
the  Moon's  Parallax  constructed  from  Walker's  and  Adams's  formulas,  in  the  place  of  the 
original  Parallax  Tables' ;  and  the  addition  of  a  Table  adapted  to  a  convenient  modifica- 
tion of  the  method  of  computing  the  latitude,  by  Professor  J.  D.  Runkle. 

A  third  edition  will  shortly  be  issued,  of  which  the  basis  will  still  be  Plana's  theory, 
while  the  Tables  will  be  corrected  to  conform  to  the  new  Solar  Parallax,  and  the  corrected 
elements  of  the  Moon's  orbit. 

WAOHIHOTON.  Nary  Department, 
March,  1865. 

C.  H.  DAVIS. 
JRear-Admiral,  and  Chief  of  the  linreau  of  Navigation. 


INTRODUCTION. 


I.     CONSTRUCTION    OF    THE    TABLES. 

THESE  tables  are  constructed  from  the  theory  of  PLANA,  modified  by  the  theoretical 
investigations  of  HANSEN,  and  the  empirical  corrections  of  AIRY  and  LONGSTRETH. 

The  moon's  mean  longitude  is  also  to  be  corrected  by  the  two  terms  of  long  period, 
arising  from  the  action  of  Venus,  which  were  discovered  by  HANSEN,  and  printed  in  the 
Astronomische  Nachrichten,  No.  597,  and  which  are  expressed  by 

8h.  6  =  the  correction  of  the  mean  longitude  of  the  moon  arising  from  the  action  of  Venus. 

*/ 
The  following  notation  is  adopted, 

6  =  the  mean  longitude  of  the  moon, 
or  =  the  longitude  of  the  moon's  perigee, 
17  =  the  longitude  of  the  moon's  node, 
6,  =  the  mean  longitude  of  the  sun, 
or.  =  the  longitude  of  the  sun's  perigee. 

ff,  ff,.,  w',.,  and  i)'  =  the  respective  daily  motions  of  d,  or,  6,.,  or..,  and  17. 

00,  «•„,  0..o,  ar.,0,  Vo  =  the  values  of  6,  or,  6,,,  or..,  and  ij  at  any  assumed  epoch,  as  the  beginning 
of  the  nineteenth  century. 

The  values  of  0,  v,  Sac.,  at  any  number  of  days  i  from  this  epoch  are,  from  the  formulae 
of  PLANA,  with  the  corrections  given  by  HANSEN  in  the  Astronomische  Nachrichten,  No.  597, 


6    =6t  +  ffi  +  .8'.'.598  (10)-»i3  +  3".6483  (10)-"  i3 
vr  =*,,  +  «'»  —  27".217  (10)-*  *"  —  13".750  (  10)-"  i3, 
6..  =  6..,  +  ff..  i  +  0".91584  (  10)~»  f  -f  0".03879  (  10)-"  f, 
«V  =  w..o   +  «V  t  +  0".91584  (  10)-"  f  +  0".03879  (10)-"  f, 
i?    =  la  +  n'  i  +  6».0355  10-"  i2  +  2".3744  (10)-"  f. 

The  values  of  00,  *0,  &c.,  and  of  0'0,  «'„,  &c.,  derived,  for  the  mean  noon  of  Washington 
of  the  date  1801,  Jan.  0,  from  the  values  obtained  by  AIRY  in  his  Memoir  upon  the  Cor- 
rections of  the  Elements  of  the  Moon's  Orbit,  published  in  the  Memoirs  of  the  Eoyal  As- 
tronomical Society,  Vol.  XVIL,  and  from  BESSEL'S  Tables  of  the  Sun,  are 

6,    =  107  55  40*5,  ff    =     13    635.02808897, 

v,  =  266    4  51.3,  v1  =      0    401.05783886, 

0.0  =  279  52  44.3,  ff^  =      0  3548.32999304, 

or.  0=279  31  10.4,  ^  =      0       0.16947241, 

17,    =    135552.6,  ,'    =_0    190.63366070. 


INTRODUCTION. 


The  ass.Hmgd-  "Western  Longitude  of  Greenwich  from  Washington  is  18h  51m  48''. 
-' 


noation 

g"  =  the  mean  anomaly  of  Venus, 

z    =  the  mean  anomaly  of  the  sun  =  0,.  —  ar.., 

v    =  the  uncorrected  mean  longitude  of  the  moon  =  6  —  8b.  6, 

c    =  the  mean  anomaly  of  the  moon  =  6  —  w, 

y    =  the  mean  argument  of  the  latitude  =  0  -*—  qt 

t     =  the  argument  of  variation  =  6  —  tft, 

«   =  the  true  longitude  of  the  moon, 

J    1=  the  true  argument  of  the  latitude, 

9  =  the  mean  heliocentric  longitude  of  Venus, 

©  =  the  mean  heliocentric  longitude  of  the  earth  =  180°  -j~  £..» 

}[  =  the  mean  heliocentric  longitude  of  Jupiter, 

H=8g"—  13z-f  315°  3(X, 

H'=  18  g"  —  16  z  —  x  +  35°  2(K2, 

• 

gives  the  following  formulae  for  the  longitude,  latitude,  and  horizontal   parallax  of  the 
moon. 

In  writing  these  formulae,  most  of  the  arguments  are  expressed  by  numbers,  in  which 
the  digit  occupying  the  place  of  units  is  the  coefficient  of  x,  that  in  the  place  of  tens  is 
the  coefficient  of  t,  that  in  the  place  of  hundreds  is  the  coefficient  of  z,  that  in  the  place 
of  thousands  is  the  coefficient  of  y,  and  that  in  the  place  of  tens  of  thousands  is  the  co- 
efficient of  «.  The  accents  upon  the  numbers  indicate  that  the  coefficient  is  negative. 
Thus  the  number  of  the  argument  [14'  253']  denotes 

u  —  4y  +  2z  +  5<  —  3*. 

• 

The  form  of  the  formula  of  the  longitude  is  modified  simply  by  substituting  the  term 
dependent  upon  the  true  arguments  of  the  latitude,  instead  of  the  equivalent  terms.  This 
is  accomplished  by  adding  to  the  formula  of  longitude  the  equation, 

0  =  —  416".7  sin  2  J  +  411".7  sin  2y  -f  4".l  sin  (2y  +  2x), 

-f  0".9  sin  (2y  —  2x)  —  46".0  sin  (2y  —  *)  +  45".2  sin  (2y  -f  «), 

+  0".3sin  (2y  +  3i)  —  9".3  sin  (2y  +  r  —  2<)  +  8".8sin(2y  —  z-f2<), 

•  +  0".9sin  (2y-f  x  +  2t)+Q".l  sin  (2y  —  x—  2*)  —  0".4  sin  (2y  +  2*  —  2t), 

—  0".5sin  (2y  —  2  *  +  2  <)  +  5".7  sin  (2y  -f  2<)  —  3".8  sin  (2y  —  2<), 

—  0".4  sin  (2y  —  x  +  z)  —  0".4  sin  (*  -f  z  —  2  y)  —  0".2  sin  (2y  —  4  1  +  *), 
+  1".0  sin  (2  y  —  t)  —  0".7  sin  (2  y  +  z)  -f  1".3  sin  (2y  —  z), 

—  0".4  sin  (*  —  2<  +  z  +  2y)  +  0".3  sin  (2(  +  2y  —  z)  -f-  0".3  sin  (2*  —  z  —  2y). 

The  form  of  the  formula  for  latitude  is  modified  in  a  way  which  is  evident  from  in- 
spection of  the  formula,  and  which  is  designed  to  obviate  the  necessity  of  correcting  the 
arguments  for  the  change  from  mean  to  true  longitude.  The  formula  of  parallax  is  re- 
tained in  PLANA'S  form.* 

« 

The  terms  of  the  various  equations  are  given  in  the  first  column  of  the  following  tables 
of  the  formulae  united  with  the  constants  which  are  employed  in  the  construction  of  the 
tables.  The  second  column  contains  the  initial  letter  of  the  authority  for  the  corresponding 
coefficients  of  the  equation,  whether  PLANA,  AIRY,  or  LONGSTRETH.  The  letter  is  accented 
when  the  value  of  the  coefficient  is  modified  by  the  present  form  of  the  tables.  The  thitd 
column  contains  the  period  of  the  argument  expressed  in  mean  solar  days.  The  fourth 
column  contains  the  number  of  the  argument.  The  fifth  column  contains  the  number  of 
the  table  which  gives  the  values  of  the  equation. 

*  See  Formula,  page  805. 
6 


INTRODUCTION. 


EQUATION. 

M 

1 

EQUATION. 

| 

u 

PERIOD. 

s 

W 

o 

PERIOD. 

^ 

U 

H 

o 

M 

o 

• 

«  =  the  moon's  true  longitude. 

D 

H 

Equations  of  Longitude  con- 

1 

£ 

=  nutation 

tinued. 

5 

d. 

-  u  —,,8°  3135". 

2 

A. 

2 

+     6.8      sin  [1'2] 

P. 

25.82638 

27 

32 

-22655.226 

d. 

6 

-    0.9     sin  [2'4] 

P. 

32 

-22639.2      sin 

ri 

A. 

27.55455245 

i 

6 

+     7.5 

33 

-     769.5      sin 

'2' 

P. 

6 

4-    7.5     sin  [2'21'1 

P. 

38.52204 

28 

33 

36.7      sin 

3' 

P. 

6 

.4-     6.3 

34 

2.0      sin 

'4' 

P. 

6 

-     6.3      sin  [2'021] 

P'. 

32.76364 

29 

34 

0.1  -    sin 

5 

P. 

6 

+     3.8 

35 

-  4587.4 

7 

4-    3.8     sin  [IW] 

P. 

10.37093 

30 

35 

-  4586.9      sin 

'21'] 

A. 

31.81193574 

2 

7 

4-    3.0 

36 

_       31.2      sin 

42'] 

L. 

7 

-     3.0      sin  [31'] 

P. 

15.31442 

31 

36 

+  2457.02 

8 

-     3.0 

37 

_     122.1      sin 

10 

P. 

29.53058800 

3 

8 

-    3.0      sin  [1'42'] 

L. 

16.63016 

32 

37 

+  2371.0      sin 

"20= 

A. 

8 

-    2.1 

38 

+         0.9      sin 

30' 

P. 

8 

-     2.1      sin  [2'01] 

P. 

32.45058 

33 

38 

+       14.4      sin 

!40' 

P. 

8 

-    2.0 

39 

+     670.5 

9 

-    2.0      sin  f221'] 

P. 

27.09271 

34 

39 

—    670.3      sin 

;ioo] 

A. 

365.259687 

4 

9 

+     1.2 

40 

7.9      sin 

P. 

9 

-     1.2      sin  [201] 

P. 

23.94223 

35 

40 

+    225.3 

10 

P     1.0 

41 

4-       18.0      sin 

I'1] 

P. 

411.78517 

5 

10 

-     1.0      sin  [111] 

P. 

13.71881 

36 

41 

—    212.4     sin 

;2'2] 

P. 

10 

-    0.5 

42 

+    206.9 

11 

-    0.5      sin  [43'] 

P. 

37.62533 

37 

42 

-     206-9      sin 

'1'21'] 

L. 

34.84689 

6 

11 

-    0.4 

43 

-     192.1 

12 

-    0.4      sin  [121 

P. 

9.39439 

38 

43 

-     192.1      sin 

[21] 

P. 

9.61372 

7 

12 

+    0.6 

44 

-     165.9 

13 

-    0.6      sin  [32'] 

P. 

34.47528 

39 

44 

p     165.9      sin  [1'20] 

P. 

15.38731 

8 

13 

+    0.4 

45 

-     148.1 

14 

4-    0.4      sin  [1'03] 

P. 

9.42177 

40 

45 

-     148.1      sin 

[I'Ol] 

P. 

29.80283 

9 

14 

-j-    0.4 

46 

-     110.0 

15 

-    0.4      sin  [103] 

P. 

8.95955 

41 

46 

—     110-0      sin 

[101] 

L. 

25.62170 

10 

15 

P    0.3 

• 

47 

4-       85.0 

16 

-    0.3      sin  [2'21] 

P. 

10.14791 

42 

47 

—       85.0      sin  [2001'] 

L'. 

26.87829 

11 

16 

-    0.6 

48 

+       58.7 

17 

-    0.6      sin  [1'221 

P. 

7.26893 

43 

48 

—       58.7      sin  [202'0] 

P'. 

173.31006 

12' 

17 

+    0.3 

49 

4-       38.0 
4-       38-0      sin 

4-       28.8 

[41'] 

P. 

10.08460 

13 

18 
18 
19 

_     0.3      sin  [12'3] 
+     0.2 
—    0.2     sin  [2021] 

P. 

P'. 

22.78614 
5.63335 

44 
45 

49 
50 
50 

—      28.8     sin  [121'] 

P. 

29.26328 

14 

19 

+    0.4 

51 

+       25.0 

20 

-    0.4     sin  [2'1011 

P'. 

29.01328 

46 

51 

—       25.0      sin  [120] 

L. 

14.19161 

15 

20 

+     1.3 

52 

+       21-0 

21 

+     1.3      sin  [21'00] 

P'. 

14.13256 

47 

52 

—         8.2      sin 

[11] 

P. 

14.25418 

16 

21 

+    0.5 

53 

+       14.1      sin 

[22] 

P. 

21 

-    0.5      sin  [2'022] 

P. 

14.96709 

48- 

53 

-       17.2 

P. 

22 

+    0.2 

54 

-       17.2      sin  [110] 

P. 

27.32168 

17 

22 

—     0.2      sin  [202'2] 

P'. 

12.76271 

49 

54 

14.0 

23 

+    0.4 

55 

-       14.0      sin  [1'21] 

P. 

9.87359 

18 

23 

-     0.4      sin  [2101'] 

P'. 

25.03597 

50 

55 

12.8 

24 

+     0.2 

56 

—       12.8      sin  [2'3] 

P. 

24.30220 

19 

24 

-    0.2      sin  [2001] 

P'. 

9.10846 

51 

56 

9.6 

25 

+     1.0 

57 

9.6     sin  [1'02] 

P. 

14.31731 

20 

25 

4-     1.0      sin  [201'0] 

P'. 

25.23137 

52 

57 

+        9.2 

26 

+    2.6 

58 

—        9.2     sin  [12'2] 

L. 

131.67112 

21 

26 

-    2.6     sin  [212'0] 

P'. 

117.53942 

53 

58 

+        8.1 

27 

+     1.2 

59 

—        0.4      sin  [I'lO] 

P. 

32.12809 

22 

27 

4-     1.2      sin  [1'40] 

P. 

7.53494 

54 

59 

+        7.8     sin  [2'20] 
+        9.8 

P. 

27 

28 

+     0.9                        » 
—    0.9     sin  [141'] 

P. 

9.81365 

55 

60 
60 

—         9.8      sin  [202'1] 

L'. 

23.77463 

23 

28 

+    0.7 

61 

+        7.3 

29 

-    0.7     sin  [2100] 

P'. 

13.11748 

56 

61 

—        7.3     sin  [102] 

P. 

13.27650 

24 

29 

+    0.8 

62 

+        2.9 

30 

4-    0.8      sin  [23] 

P. 

5.66247 

57 

62 

—        '2.9      sin  [121] 

P. 

9.36717 

25 

30 

+    0.5 

63 

+         1.9 

31 

-    0.5      sin  ri42'l 

P. 

15.24221 

58 

63 

1.9      sin  [41] 

L. 

5.82261 

26 

31 

+     0.6            "        " 

64 

+         1.6 

32 

-    0.6     sm  [204'1] 

P'. 

38.96397 

59 

64 

INTRODUCTION. 


EQUATION 

g 

M 

| 

EQUATION. 

" 

u 

0 

PERIOD. 

• 

(d 

0 

PERIOD. 

^ 

a 

Equations  of  Longitude  con- 

1 

o 

$ 

Equations  of  Latitude  con- 

B 

1 

a 

s 

tinned. 

tinued. 

4-   d.4 

A 

65 

4-   o".2 

d. 

104 

-     0.4     sin  [212'1] 

P'. 

22.32171 

60 

65 

—     0.2      sin  [1021] 

p. 

7.1041 

87 

104 

-     0.4 

66 

-     0.2 

105 

-     0.4    sin  [4000] 

P. 

6.80305 

61 

66 

-     0.2      sin  [1021'] 

p. 

14.6664 

88 

105 

-     0.3 

67 

-     0.2 

106 

-     0.3    sin  [21-20] 

P'. 

7.22100 

62 

67 

-    0.2     sin  [1'022] 

p. 

9.6561 

89 

106 

-     0.3 

68 

-     0.2 

107 

- 

-    0.3    sin-  [11000] 

P. 

13.63340 

63 

68 

—     0.2     sin  [1'021] 

p. 

32.2808 

90 

107 

--     0.3 

69 

4-    6.2 

108 

-     0.3     sin  [2'1'21] 

P. 

35.99212 

64 

69 

—     6.18    sin  38 

p. 

77 

108 

4-     0.2 

70 

4-    9.1 

109 

-     0.2     sin  [140] 

P. 

7.23638 

65 

70 

4-    2.17    cosu 

A. 

109 

4-0.2 

71 

—     8.80   sin  « 

A. 

109 

-     0.2    sin  [2'030] 

P. 

35.59582 

66 

71 

+   i.o 

72 

In  which  the  values  of  A.  and  B.  are  given  by  the  fol- 

-    1.0    sin  [I'lOOl] 

A. 

27.44332 

67 

72 

lowing  formulae  : 

+     0.7 
4-     0.7    sin  [ll'OOl] 

*  '   "  * 

A. 

27.66669 

68 

73 
73 

74 

A  = 

17600.0 
-  846.0 

A'. 

d. 

—    2.2    sin  [1'2'2] 

L. 

471.89326 

69 

74 

-  527.5    cos  [20'20] 

P. 

173.31006 

12" 

83 

4-     1.5 

75 

-    25.7 

4-     1.5    sin  [21*2'0] 

P. 

329.79056 

70 

75 

-    25.7    cos  [2002'] 

,i.i    i 

P. 

1095.1653 

73'" 

84 

_ 

-      13 

76 

-    22.1 

—     1.1    sin    (?-©) 

583.921 

71 

76 

—    22.1    cos  [212'0] 

+              1    •  » 

P. 

117.5394 

53' 

85 

4-    0.4    sin  2  (9-©) 
4-     0.8 

76 

77 

1.3 

—       1.3    cos  [1] 

P. 

27.5546 

V 

86 

4-    0.7    sin     (©-#) 

398.884 

72 

77 

77 

4-     10.3 
—     10.3    cos  [21'2'0] 

P. 

329.7906 

70' 

87 

4-    2.0 

78 

4-      6.63 

4-    2.0    sin  [2002'] 

P. 

1095.1653 

73' 

78 

—       1.3    cos  [100] 

P'. 

365.2597 

4 

89 

4-     0.5 

79 

4-      4.7 

0.5    sin  [111'] 

P. 

3232.8202 

74 

79 

4-      4.7    cos  [2'2] 

P. 

205.8926 

5' 

90 

4-  53.2 

80 

4-  23.2    sin  H. 

84753.24 

75 

80 

B  =  —1000. 

4-  6565 

81 

4-  846.0 

-}-  27.4    sin  H. 

95489.94 

76 

81 

—  527.5  sin  [202'0] 

P. 

173.31006 

12' 

83 

—416.9     sin  2$. 
4-  6.38     sin  (u-y) 

77 

82 
8U 

4-     25.7 
—    25.7  sin  [2002'] 

P. 

1095.1653 

73" 

84 

—  0.97     cos  (u-y) 

8U 

4-    22.1 
—    22.1  sin  [212'0] 

P. 

117.5394 

53 

85 

•The 

Moon's  Latitude  =  -f-  A  sin  ff  +  B  cos  y  * 

4-       1.3 

-60. 

—       1.3  sin  [1] 

P. 

27.5546 

1 

86 

-   15.8 

92 

4-     10.3 

-  15.8      sin  [102'1] 

P. 

188.2015 

78 

92 

4-     10.3  sin  [21'2'0] 

P. 

329.7906 

70 

87 

-  22.2 

93 

4-    88.9 

-   14.4      sin  [1001'] 

P. 

2190.3306 

73 

93 

4-     48.9  sin  [100] 

P'. 

365.2597 

4 

88 

- 

-     0.6 

94 

4-       4.7 

-    0.6     sin  [lOl'O] 

P. 

346.6201 

12'" 

94 

4-      4.7  sin  [2'2] 

P. 

205.8926 

5 

90 

4-   0.2 

95 

4-     i.o 

—     0.2      sin  [I'lOl] 

P. 

438.3608 

79 

95 

—       1.0  sin  [1*1] 

P'. 

411.7852 

5 

91 

4-     0.1 

96 

-     0.1      sin  [1101'] 

P. 

313.0547 

80 

96 

: 

h     0.7 
-     0.7      sin  [112'1] 

P. 

124.2016 

81 

97 
97 

•The  Moon's  Equatorial  Horizontal  Parallax  =* 

-     1.8 

98 

3000. 

-     1.8      sin  [1*021] 

P. 

14.8655 

s-J 

98 

4-  348.0 

d. 

110 

-     0.7 

4 

99 

-   186.8    cos  [1] 

P. 

27.55455 

1" 

110 

-     0.7      sin  [1*2*20] 

P. 

39.2116 

83 

99 

-     10.3    cos  [21 

P. 

110 

-     0.6 

100 

0.6    cos  [3] 

P. 

110 

-    0.6     sin  [10021 

P'. 

9.5717 

84 

100 

-     28.6 

111 

4-0.5            " 

101 

—       0.9    cos  flO] 

P. 

29.53059 

3 

111 

-     0.5      sin  [I'Olll 

P. 

29.9342 

48 

101 

-     27.6    cos  [20] 

P. 

111 

4-0.4                      " 

102 

-       0.1    cos  [40] 

P. 

111 

: 

f-     0.4      sin  [803*0] 
[•     0.3 
f     0.3     sin  [1042*] 

P. 
P. 

23.5193 
38.2830 

85 
86 

10-2 
103 
103 

-     34.2 
-     33.9    cos  [21'] 
-       0.3    cos  [42'J 

P. 
P. 

31.81194 

2 

112 
112 
112 

*  See  Table  cixxvii. 


*  See  Formula,  page  305. 


INTRODUCTION. 


H 

EQUATION. 

R 
U 

EQUATION. 

i 

o 

PERIOD. 

W 

0 

PERIOD. 

s 

The 

Moon's  Equatorial  Hori-    5 

1' 

3 

3 

P 
The  Moon's  Equatorial  Hori-   § 

1 

m 

zo 

ital  Parallax  continued. 

zontal  Parallax  continued 

H 

n 

d. 

-     1.4 

d. 

113 

—     0.6     cos  [120]       P. 

14.1916         15 

121 

-     1.4    cos  [1'21']     P. 

36.8469           6 

113 

-    0.3 

1 

122 

-     3.1 

114 

-     0.3     cos  [22]         P. 

7.1271         16 

122 

-     3.1     cos"  [21]         P. 

9.6137          7 

114 

-    0.2 

123 

-     2.2 

115 

-     0.2    cos  [1'21]      P. 

9.8736         18 

123 

-     2.2     cos  [1'20]      P. 

15.3873          8 

115 

-    0.1 

124 

-     1.2 

116 

-     0.1     cos  [2'2]        P. 

24.3022         19' 

124 

-     1.2    cos  [101]      P. 

29.8028          9 

116 

-    0.4 

125 

-    0.9 

117 

—    0.4    cos  [100]      P. 

365.2597          4 

125 

-    0.9    cos  [I'Ol]      P. 

25.6217         10 

117 

+    0.2 

126 

-     1.2 

118 

4-     0.2    cos  [22']        P. 

205.8926           5 

126 

-     1.2    cos  [2001']    P. 

26.8783         11 

118 

+     0.2 

127 

-    0.5 

119 

—    0,2    cos  [20'20]    P. 

173.3101         12' 

127 

-1 

-     0.5    cos  [41']        P. 
-     0.2 
-     0.2    cos  [121']     P. 

10.0846         13 
29.2633         14 

119 
120 
120 

The  Moon's  Equatorial  Semidiameter  = 
The  Horizontal  Parallax. 

+    0.6 

121 

X  0.272274                 |  B. 

128 

This  value  of  the  Moon's  Semidiaraeter  is  that  deduced  by  BCTRCKHARDT  from  eclipses  and  occultations,  and  should  be  used  for  the 
computation  of  these  phenomena.    But  for  Meridian  Observations  it  seems  to  vary  with  the  telescope  ranging  from  2"  to  3"  greater 
than  the  value  here  given. 

The  Principal  Terms  of  the  Second  and  Fourth  Differences  of  the  Longitude  for  a  Quarter  of  a  Day  are  given 

in  the  following  formulae. 

EQUATION. 

ARGUMENT. 

TABLE. 

EQUATION. 

ARGUMENT. 

TABLE. 

Second  Difference  of  the  Longitude 

Second  Difference,  continued. 

for  a  Quarter  of  a  Day  = 

+    0.35 

23" 

—130. 

—    0.354     sin  [1'21] 

18 

23" 

-f  76.0 

6" 

+     0.05 

24" 

—  73.563     sin  [1 

1 

6" 

4-    0.054     sin  [2'3] 

19 

24" 

-    9.993     sin    2 

6 

a 

+    0.11 

25" 

-     1.071     sin  [3' 

6 

a 

—     0.115     sin  [1'02] 

20 

25" 

-    0.104    sin  [4' 

6 

" 

+     0.07 

27" 

-    0.008     sin  15' 

6" 

—    0.074    sin  [2'20] 

22 

27" 

+  11.2 
—  11.180     sin  [21'] 
—     0.304    sin  [42'1 

2 

7" 
7" 
7" 

+    0.10 
+    0.102    sin  [102] 
-j-    0.08 

24 

29" 
29" 
30" 

+  31.16 

8" 

—    0.081     sin  [121] 

25 

30" 

H-     0.345     sin  [10 

3 

8" 

+     0.14 

31" 

—  20.808     sin  [20' 

8" 

—    0.137    sin  [41] 

26 

31" 

-    0.023     sin  [30 

8" 

+    0.19 

35" 

-    0.650    sin  [40 

8" 

—    0.087     sin  [1'41'] 

30 

35" 

+    0.42 
—    0.42      sin  [l'21'l 

6 

11" 
11" 

Fourth  Difference  of  the  Longitude  for  a  Quarter  of  a  Day  = 

+    5.12 

12" 

—   i'.oo 

-    5.117     sin  [21] 

7 

12" 

-    0.45 

6 

IV. 

+     1.73             '    ' 

13" 

-    0.239    sin  [1 

1 

6 

IV. 

-    1.727    sin  [21'] 

8 

13" 

-     0.130     sin  [2' 

6 

IV. 

+    0.41             "     " 

14 

a 

-     0.031     sin  [3' 

6iv. 

-    0.411     sin  [1*011 

9 

14" 

-    0.005    sin    4 

6 

V. 

-    0.41 

15" 

-    0.03 

7iv. 

-     0.413     sin  [101] 
-    0.29 

10 

15" 
16" 

-     0.027     sin  [21'] 
-     0.003    sin  [42'] 

2 

7iv. 
TIT. 

-    0.288    sin  [2001'] 

11 

16 

it 

-     0.31 

giv. 

-    0.92 

18 

n 

-     0.303    sin  [20] 

3 

giv. 

-    0.920     sin  [41'] 

13 

18 

" 

-     0.006     sin  [30] 

giv. 

-    0.08 

19 

H 

-     0.029     sin  [40] 

giv. 

-     0.083     sin  [121'] 

14 

19 

II 

-    0.14 

12'v. 

-    0.31 

20 

II 

-     0.136     sin  [21] 

7 

12IV- 

-     0.306     sin  [120] 

15 

20" 

-     0.02 

13 

v- 

-    0.80 

21 

II 

-     0.018     sin  [21'] 

8 

131V 

-    0.100     sin  [11] 
-    0.680     sin  [221 

16 

21" 

21" 

-     0.02 
-    0.022    sin  [41'] 

.13 

18'v- 

+    0.06             "    " 

22 

II 

-    0.03 

21 

v. 

—    0.057     sin  [110] 

17 

22" 

-     0.033     sin  [22]                    16 

21'v- 

INTRODUCTION. 


Since  HANSEN'S  inequalities  of  long  period,  arising  from  the  action  of  Venus,  affect 
the  mean  longitude  of  the  moon,  they  must  be  applied  to  the  several  arguments  contained 
in  Tables  \a.  or  V6.,  and  to  render  these  corrections  always  additive  the  arguments  in 
Tables  Ha.  and  116.  have  been  diminished  by  the  following  constants:  — 


Arg.  1  by  0.001859, 

Arg.  2  by  0.001410, 

Arg.  3  by  0.001214, 

Arg.  6  by  0.0013, 

Arg.  7  by  0.0011, 


Arg.  8  by  0.0012, 
Arg.  9  by  0.0012, 
Arg.  10  by  0.0010, 
Arg.  11  by  0.0011, 
Arg.  13  by  0.0012. 


And  Tables  Va.  and  V6.  have  been  constructed  by  the  formulae,  — 


Corr.  Arg.    1 

0.0005( 

Corr.  Arg.   2 

0.0006( 

Corr.  Arg.   3 

0  0005! 

Corr.  Arg.   6 

0.0006 

Corr.  Arg.   7 

0.0002 

Corr.  Arg.    8 

0.0003 

Corr.  Arg.   9 

0.0005 

Corr.  Arg.  10 

0.0005 

Corr.  Arg.  11 

0.0005 

Corr.  Arg.  13 

0.0002 

TABLE  Vo. 

-f-  0.000498 
4-  0.000569 
4-  0.000529 
-f  0.00062 
-f  0.00017 
4-  0.00028 
4-  0.00053 
4-  0.00046 
4-  0.00048 
4-  0.00018 


TABLE   VA. 


slnH 

+  0.001359  +  0.0005826  sin  H>, 

sin  H 

4-  0.00081    4-  0.000673    sin  If, 

sin  H 

4-  0.000684  4-  0.000624    sin  If, 

sin  H 

4-  0.0007      4-  0.00074      sin  If, 

sin  H 

4-  0.0009      4-  0.00021      sin  H', 

sin  H 

4-  0.0009      4-  0.00033      sin  H' 

sin  H 

4-  0.0007      4-  0.00053      sin  H', 

sin  H 

4-  0.0005      4-  0.00054      sin  H, 

sin  H 

4-  0.0006      4-  0.00056      sin  If, 

sin  H 

4-  0.0010      4-  0.00021      sin  If. 

II.    DESCRIPTION  OF  THE  TABLES. 

TABLES  la.,  16.,  and  Ic.  are  Tables  of  Astronomical  Dates  in  mean  solar  days  reckoned 
from  the  beginning  of  the  Julian  Period,  from  which  the  date  of  any  event  can  be  reduced 
to  days  and  decimals  of  a  day  when  it  is  originally  given  in  the  usual  form  with  reference 
to  the  Christian  Era. 

Tables  Ila.  and  116.  contain  the  values  of  the  mean  longitude,  the  negative  of  the 
longitude  of  the  node,  and  all  the  arguments  for  the  mean  Washington  noon  of  every 
thousandth  day  from  2300000  to  2500000. 

Tables  Ilia,  and  III6.  contain  the  motions  of  the  mean  longitude,  and  of  the  lon- 
gitude of  the  node  for  every  interval  of  days  and  fractions  of  a  day  less  than  1000  days, 
and  the  first  ten  multiples  of  all  the  periods. 

Table  IV.  contains  the  constants  by  which  the  mean  longitude,  and  the  longitude  of 
the  node,  and  the  various  arguments,  can  be  reduced,  from  the  interval  from  2400000  to 
2500000  days  to  any  previous  time  after  the  commencement  of  the  Julian  Period. 

Tables  Va.  and  V6.  contain  the  corrections  of  the  various  arguments  for  HANSEN'S  term 
of  long  period  in  the  action  of  Venus. 

Tables  VI.  to  LXXXII.  inclusive  contain  the  different  equations  of  the  moon's  lon- 
gitude. 

Tables  VI".  to  XXXVII".  inclusive  contain  the  second  differences  for  a  quarter  of  a 
day  of  the  moon's  longitude. 

Tables  VI.IV  to  XVI.IV  inclusive  contain  the  fourth  differences  for  a  quarter  of  a  day 
of  the  moon's  longitude. 

Tables  LXXXIII.  to  CIX.  inclusive  contain  the  terms  of  the  moon's  latitude. 

Tables  CX..  to  CXXVII.  inclusive  contain  the  terms  of  the  moon's  horizontal  par- 
allax. 

Table  CXXVIII.  contains  the  table  for  the  moon's  semidiameter. 

10 


INTRODUCTION. 


III.    USE   OF   THE   TABLES. 

1.  Eeduce  the  instant  for  which  the  moon's  place  is  to  be  computed  to    its  date  in 
days  and  decimals  of  a  day  from  Washington  mean  noon,  by  means  of  Tables  la.,  16., 
and  Ic.     The  number  of  days  for  the  beginning  of  the  year  is  to  be  found  in  Table  la., 
that  for  the  day  of  the  year  in  Table  16.,  and  the  decimal  of  the  day  in  Table  Ic. 

2.  Find  the  longitudes  and  arguments  for  the  date  from  Tables  Ila.,  116.,  Ilia.,  III6., 
Va.,  and  V6. 

If  the  date  is  contained  within  the  interval  2300000  to  2500000  days, 

Find  the  value  of  the  longitude  or  argument  for  the  preceding  thousandth  day  in 
Table  Ila.  or  116.,  in  the  column  headed  with  the  name  of  the  longitude  or  argument; 
multiply  the  number  which  is  contained  in  the  column  headed  with  the  accented  name  of 
the  longitude  or  argument  by  one  thousandth  part  of  the  excess  of  the  date  over  that  of 
the  preceding  thousandth  day.  Find  in  Table  Ilia,  the  motion  of  the  longitude  for  this 
excess  of  days. 

The  sum  of  the  three  numbers  thus  found  for  each  longitude  is  the  mean  longitude  for 
the  date,  and  the  sum  of  the  two  numbers  for  each  argument  and  of  the  excess  of  the  date 
over  that  of  the  preceding  thousandth  day  is  the  argument  for  the  date.  The  argument  thus 
found  must  be  reduced  by  substituting  as  many  entire  multiples  of  the  period  of  the  argu- 
ment as  it  contains,  and  Table  III6.  will  facilitate  this  process  of  reduction.  Finally,  cor- 
rect the  argument  by  the  addition  of  the  corrections  contained  in  Tables  Va.  and  V6. 

If  the  date  is  less  than  2300000  days, 

Change  the  hundred  thousands  of  the  date  to  24 ;  find  the  longitude  and  arguments  by 
the  preceding  process  for  the  changed  date,  with  the  exception  of  the  corrections  contained 
in  Tables  Va.  and  V6.  Take  from  Table  IV.  the  constants  of  longitude  and  argu- 
ment which  correspond  to  the  hundred-thousandth  day  next  preceding  the  given  date. 
Multiply  the  excess  of  the  date  over  the  next  preceding  hundred-thousandth  day  by  the 
accented  number  of  which  the  logarithm  is  given  in  the  column  of  Table  IV.  next  follow- 
ing the  longitude  or  argument  to  which  it  corresponds  when  it  is.  of  sufficient  magnitude 
to  be  noticed.  Multiply  the  square  of  this  excess  by  the  doubly  accented  number  of  which 
the  logarithm  is  given  in  the  column  of  Table  IV.  next  following  that  of  the  singly  ac- 
cented number,  when  it  is  of  sufficient  magnitude  to  be  noticed.  The  sum  of  these  two 
products,  added  to  the  constant,  and  corrected  by  the  addition  of  the  correction  of  Tables 
Va.  and  V6.  is  the  total  addition  to  be  made  to  the  longitude  or  argument  obtained 
by  the  preceding  process. 

3.  Find,  by  means  of  the  several  arguments,  the  equations  of  longitude  contained  in  the 
Tables  VI.  -  LXXXI.4.  inclusive,  and  add  their  sum  to  the  value  of  u  already  obtained. 

It  is  to  be  observed,  in  entering  Tables  XVII.,  LIIL,  and  LXXVIIL,  that 

Arg.  12'  =  Arg.  12,  but  that  the  period  is  half  as  long. 
Arg.  48'  =  Arg.  48  —  6J-.26,  and  it  has  a  half-period. 
Arg.  73'  =  Arg.  73  -f  173'-.792,  and  it  has  a  half-period. 

4.  To  the  sum  of  u  and  the  equations  of  longitude  add  the  value  of  y  —  u  already  ob- 
tained, and  this  sum  is  y,  which  is  the  argument  with  which  Table  LXXXII.  is  to  be 
entered  for  the  final  equation  of  longitude,  which  is  to  be  added  to  the  sum  of  u  and  the 
other  equations  in  order  to  obtain  the  true  longitude,  il,  of  the  moon. 

11 


INTRODUCTION. 
5.  Find  the  value  of  A  by  entering 


.1. 


Table  LXXXIII.  with  the  Arg.  12"  =  Arg.  12  —  43.3275, 

Table  LXXXIV.  with  the  Arg.  73'"=  Arg.  73  +  47.5826, 

Table  LXXXV.  with  the  Arg.  53'  =  Arg.  53  —  29.38, 

Table  LXXXVI.  with  the  Arg.    1'  =  Arg.    1  -f      6.89, 

Table  LXXXVII.  with  the  Arg.  70'  =  Arg.  70  —  82.45, 
Table   LXXXIX.  with  the  Arg.    4 

Table  XC.  with  the  Arg.    5'  =  Arg.    5  +  51.47. 

The  value  of  A  is  the  sum  of  the  equations  thus  obtained  increased  by  17600". 

6.  Find  the  value  of  B  by  entering  Tables  LXXXIII.  to   XCI.  inclusive  (excepting 
Table  LXXXIX.)  with  the  arguments  respectively  written  above  them. 

The  sum  of  the  equations  thus  obtained  diminished  by  1000"  is  the  value  of  B. 

7.  Find  the  remaining  equations  of  the  moon's  latitude  by  entering  Tables  XCII.  to 
CIX.  inclusive  with  the  arguments  respectively  written  above  them. 

The  sum  of  the  equations  thus  obtained,  diminished  by  60",  and  added  to  the  sum  of  the 
products  of  A  by  sin  y,  and  of  jB  by  cos.  y,  is  the  moon's  latitude. 

8.  The  moon's   equatorial   horizontal    parallax    is   found  by   entering   tables   CX.   to 
CXXVII.  inclusive  with  their  respective  arguments,  and  adding  3000"  to  the  sum  of  the 
equations  thus  obtained. 

9.  The  moon's  equatorial  semidiameter  is  found  by  multiplying  the  equatorial  horizontal 
parallax  by  0.272274,  which  product  may  be  readily  obtained  by  means  of  Table  CXXVIII. 

This  value  is  to  be  used  for  the  computation  of  eclipses,  but  in  the  reduction  of  meridian 
observations  it  should  be  increased  by  2".5  in  the  case  of  a  telescope  for  which  no  special 
investigation  has  been  made,  or  by  whatever  constant  may  be  found  suitable  by  a  special 
investigation  for  each  telescope. 

10.  Directions  for  the  Computation  of  an  Ephemeris.     The  longitude,  exclusive  of  nuta- 
tion and  the  equation  of  Table  LXXXIL,  should  be  found  for  each  successive  noon  ;  and 
also  the  second  and  fourth  differences  of  the  equations  for  a  quarter  of  a  day  from  the 
Tables  .VI."  to  XXI.IV  inclusive. 

If  then  the  following  notation  is  adopted, 

«,     =  the  longitude  for  the  time  t  in  days,  exclusive  of  nutation  and  the  equation  of  Table  LXXXIL 

A,  =  the  sum  of  all  those  equations  for  which  tables  of  second  differences  are  given. 
A',  =  the  sum  of  all  those  equations  for  which  tables  of  second  differences  are  not  given. 

B,  =  the  sum  of  all  the  tabular  second  differences  from  those  tables  for  which  tables  of  fourth  differences 

are  given. 
B't  ==  the  sum  of  all  the  tabular  second  differences  from  those  tables  for  which  tables  of  fourth  differences  are 

not  given. 
B",  =  B,+  B',. 

C,  =  the  sum  of  all  the  tabular  fourth  differences  for  all  the  equations  for  which  they  are  given. 
A"  V,  =  the  nth  differences  of  the  series  of  n  +  1  numbers 

V,  _  |  „  +  j,  V,  _  j  „  +  !,  &c.., 


of  which  the  first  corresponds  to  the  date  preceding  the  date  t  by  |  n  days,  and  the  last  cor- 
responds to  the  date  which  follows  the  date  t  by  \  n  days,  and  the  intermediate  numbers  are 
at  intervals  of  a  quarter  of  a  day  apart. 

A"  V,  =  the  nth  quarter  difference  of  the  values  of  the  n  -f-  1  numbers 


of  which  the  first  corresponds  to  the  date  which  precedes  the  date  t  by  i  n  days,  and  the 
last  corresponds  to  the  date  which  follows  the  date  t  by  $  n  days,  the  intermediate  numbers 

12 


IXTHODUOTIOX. 

occurring  at  intervals  of  a  day.  In  taking  these  quarter  differences,  all  the  terms  of  each 
order  of  difference  are  to  be  divided  by  four,  before  their  quarter  differences  are  obtained 
in  the  same  way. 

In  the  following  computations  it  will  be  sufficiently  accurate  to  put 

A'  V,  =  A«  F,, 

A»  V,  =  A'3  F,  —  J  A"  F,. 

Find  for  each  noon  and  interpolate  by  differences  for  every  six  hours 

A*  M,  =  C,  +  A'  Bt  +  A«  A't  —  1". 
Test  the  accuracy  of  Bt  by  the  formula 

A'  B,=  c.-fjA'C,—  1". 
Find  for  each  noon 

A'  w,  =  B",  +  A'  A',  —  130". 

Find  for  each  day  and  for  the  instant  fths  of  a  day  after  the  noon 
A'  K/+,  =  A  JB",  +  t  -f  A'  A't  +  t  +  j  A4  «,+i. 

Interpolate  the  remaining  third  differences  of  ut  by  means  of  the  fourth  differences,  being 
careful  to  adopt  a  judicious  distribution  of  the  small  changes  which  are  required  in  the 
fourth  differences  to  accomplish  this  interpolation. 

Interpolate  the  second  differences  of  ut  with  a  similar  regard  to  changes  of  the  third 
differences. 

Test  the  accuracy  of  A,  by  the  formula 

A»  A,  =  B",  + 1  c,  +  |  A"  B'(  —  130", 
Find  for  each  day  and  the  instant  f  ths  of  a  day  after  the  noon 

A  «,  +  ,  =  3°  1058".757  +  A  At  +  t  +  A  A',+t  +  J  A3  vl+t  —  J  A«  u,  +  J. 

Interpolate  the  first  differences  of  u,  by  the  aid  of  the  second  differences,  and  by  them 
interpolate  the  values  of  ut. 

The  values  of  y  should  be  obtained  for  each  quarter  of  a  day,  and  thence  the  equations 
from  Table  LXXXII. 

The  various  terms  of  the  latitude  and  horizontal  parallax  need  only  be  found  for  each 
noon,  except  A.  sin  y,  which,  after  the  interpolation  of  A.,  should  be  computed  for  each 
quarter  of  a  day. 

11.  Example. 

Find  the  moon's  longitude,  latitude,  equatorial  horizontal  parallax  for  the  date  B.  C. 
413,  August  27,  at  6  o'clock  in  the  afternoon,  mean  solar  time  at  Athens. 

Solution.    The  western  longitude  of  Athens  from  Washington  being  17b>  16m-  53'-,  the  given  date  is  in  Washing- 
ton time  — 413  August  26d  23b-  16"1-  53'-.    This  is  reduced  to  the  Julian  date  in  days  by  Tables  la.,  15.,  and  Ic. 

— 500  years  is  in  Julian  date  in  days  1538798. 

13  B.  31777. 

Aug.  26  238. 

23"-  0.958333333 

16--  0.011111111 

„  53*  0.000613426 

—413  Aug.  26d-  23"-  16ra-  53"  1570813.970057870 

By  substituting  2400000  for  the  1500000,  the  date  becomes  2470813.970057870. 
whence  from  Tables  II.  to  V.  inclusive  the  arguments  are  obtained  as  follows : 

13 


INTRODUCTION. 


y-u    ARGUMENT  1. 


3. 


From  Table  116.,  for  2470000, 

Correction  X  .81397, 
From  Table  JIIn.,  or  the  excess  of  date, 

From  Table  IV.  for  I.'.IMH. 

Accented  No.  X    70813.97, 

Doubly  accented  Xo.  X  (70813.97)*, 

Correction  from  Table  Va., 

Correction  from  Table  V4., 
Greatest  Multiple  of  Period  for  Subtraction, 
Mean  Longitude  or  Argument  for  date, 


22  2502.58 
1.29 

285     6'.i2.C,o 

4  27i  is. s:; 

—1035.81 

—4.94 


312  12C4.55 


43 

•2-20 


T.-.s.:, 

—0.9 

370.1 

1207.8 

730.4 

3.2 


35  3069.1 


10.9057714 
1142 

813.971  "  i;,7'.i 

14.9092:><>6 


—5031 

335 

16989 

826.6365734 
13.0588844 


21.243406 
—58 

813.9701  i:,,x 

22.915317 
57954 

840 
C,l 

1202 

827.110329 
31.077951 


8.500660 
263 

813.97(1058 

3.859920 

—80960 

—112 

30 

1048 

797.325876 
28.985031 


ARGUMENT    4. 


6. 


9. 


10. 


From  Table  II*.,  for  2470000, 

Correction  X  .81397, 

The  excess  of  date, 
From  Table  IV., 
Accented  No.      X    70813.97, 
Doubly  ace.  No.  X  (70813.97)", 

Correction  from  Table  Va., 

Correction  from  Table  V6., 
Or.  Mult,  of  Period  for  Subtr., 
Argument  for  date, 


281.3878 
0 

813.9701 

365.1 2"  76 
0 
0 
0 
0 
1095.7791 

364.7064 


316.3339 
13 

813.9701 

168.9847 

—1.0665 

—60 

0 

0 

1235.3555 
62.8620 


5.6456 
0 

813.9701 

25.1207 

656 

8 

0 

11 

836.3254 
8.4785 


9.8725 

0 

813.9701 

7.7149 

—454 

—2 

0 

10 

826.7797 
4.2882 


4.7758 
0 

813.9701 

4.0279 

—219 

— 1 

0 

11 

815.5275 
7.225  1 


26.1947 
0 

813.9701 

16.1365 

—984 

—5 

0 

10 

834.4791 
21.7243 


23.6165 
0 

813.97IH 

13.8541 

—846 

—5 

1 

8 

845.51(50 
5.8405 


ARGUMENT    1 1. 


12. 


13. 


14. 


15. 


16. 


IT. 


From  Table  116.,  for  2470000, 
The  excess  of  date, 

From  Table  IV., 

Ae,-ei,ted  N'o.      X    70813.97, 

Doubly  ace.  No.  X  (70813.97)', 
Correction  from  Table  Vc., 
Correction  from  Table  V6., 

Gr.  Mult,  of  Period  for  Subtr., 

Argument  for  date, 


0.9587 

813.9701 

19.0676 

761 

4 

0 

9 

833.2270 
0.8468 


20.6699 

813.9701 

171.4161 

1642 


G93.2KI2 
312.9810 


3.2232 

813.9701 

9.9006 

51 

0 

0 

11 

826.9369 
0.1632 


5.760 

818.970 

21.068 

59 

0 

0 

0 

819.872 
21.485 


5.5ft 

8  i:i.97o 

3.704 

—21 

0 

0 

0 

823.113 
0.117 


4.981 

813.970 

9.575 

—61 

0 

0 

0 

826.743 
•1.672 


15.347 

813.970 

3.560 

—21 

0 

0 

0 

819.656 
13.206 


ARGUMENT    i§. 


19. 


2O. 


21. 


22. 


23. 


24. 


Fro,,,  Table  116.,  for  2470000, 

The  excess  of  date, 
From  Table  IV., 
Accented  No.  X  70813.97. 

•hilt,  of  Period  for  Subtr., 
Argument  for  dat-'. 


4.364 
813.970 

7.935 

—80 
819.508 

6.711 


3.891 
813.970 

8.791 

—207 
826.875 

0.170 


1.189 

818.970 

1.178 

—101 

81C,.0,S7 

0.099 


r.'.i.'.i  I 
813.97 
108.02 

— 73 
921.70 

69.50 


28.372 

K1.-J.970 

4.212 

—24 

835.330 

11.200 


17.824 
813.970 

12.603 

—60 

882.112 

12.225 


1.155 

81  ,".970 

1.086 

—!>1 

.SO'.I.HCC. 

6.25] 


4.760 
818.970 

7.5 1C, 

—47 

824.811 

1.888 


ARGUMENT    26. 


2T. 


28. 


29. 


30. 


32. 


33. 


From  Table  116.,  for  2470000, 

Tlic  exee-i  of  date. 
From  Table  IV.. 

ited  No.  X  70813.97, 
(ir.  Mull,  of  Period  for  Subtr., 
Argument  for  date, 


3.087 
81.V.I70 

0.868 

—38 
815.165 

2.222 


818.97 
24.56 
—16 

826.44 

1  2.27 


24.849 

818.970 

27.868 

—78 

847.484 

19.120 


21.177 

81.V.I70 

18.084 

— 149 

is:,  i  .s:,:, 
1.527 


1.760 

8l:!.i»70 

10.188 

:, 

819.804 
6.618 


9.15 

813.97 

18.08 

2 

826.98 

!i.  1 9 


ll.ol 

813.97 

7.35 

7 

881.51 
0.89! 


15.84 
818.97 

1 7.58 

—12 

648.72 

3.05 


Ai:«,rMi.\r 


35. 


36. 


37. 


39. 


40. 


41. 


Table   1 1/,.,  tor  -..'170000, 
The  exee--  .,)'  date. 
Froa,  Table   IV.. 

it.-d  No.   /  7"Si:;.«.»7. 
( ir.  .Mult,  of  Period  for  Sublr.. 
Argument  for  date. 


25.51 
81897 

i  '.'.:>  I 
6 

19.17 


18.42 

818.97 

L2.98 

—  8 
887.98 

7.2(1 


12.65 

818.97 

9.22 

f 

*-_':;.  i:i 
12.66 


86.4 

814.0 

88.9 

3 

L9.S 


17.71 
818.97 

2.17 

—10 

826.7 1 

7.04 


18.1 

81  1.0 

10.7 

—2 

827.4 

10.2 


]  C.2C, 

818.97 

4.65 
II 

829. 1  2 

5.87 


7.85 

818.97 

L89 

11 

824.2H 
1 .5  1 


INTRODUCTION. 


ARGUMENT    42.           43.           44.           45.           46.           47.          4§.          49. 

From  Table  II  J.,  for  2470000, 
The  excess  of  date, 
From  Table  IV., 
Accented  No.  X  70813.97, 
Gr.  Mult,  of  Period  for  Subtr., 
Argument  for  date, 

4.08 
813.97 
8.11 
—5 
821.98 
4.13 

3.31 
813.97 
9.77 
—6 
814.12 
12.87 

0.5 
814.0 
8.2 
0 
820.3 
2.4 

6.42 
813.97 
11.54 
0 
828.10 
3.83 

5.3 
814.0 
20.4 
0 
812.4 
27.3 

11.98 
813.97 
3.54 
0 
819.69 
9.80 

26.58 
813.97 
1.51 
—12 
838.16 
3.78 

2.2 
814.0 
1.2 
0 
816.8 
0.6 

ARGUMENT    SO.           51.           52.            53.           54.           55.          56.          57. 

From  Table  115.,  for  2470000, 
The  excess  of  date, 
From  Table  IV., 
Accented  No.  X  70813.97, 
Gr.  Mult,  of  Period  for  Subtr., 
Argument  for  date, 

20.9 
814.0 
17.6 
0 
851.2 
1.3 

8.23 
813.97 
7.20 
—4 
819.76 
9.60 

16.97 
813.97 
3.04 
0 
832.64 
1.34 

15.27 
813.97 
116.22 
12 
940.32 
5.26 

5.10 
813.97 
3.93 
0 
813.77 
9.23 

12.40 
813.97 
9.63 
0 
824.35 
11.65 

12.36 
813.97 
3.25 
0 
826.40 
3.18 

2.93 
813.97 
10.20 
0 
815.40 
11.70 

ARGUMENT    58.           59.          6O.          61.          62.           63.           64.          65. 

From  Table  Hi.,  for  2470000, 
The  excess  of  date, 
From  Table  IV., 
Accented  No.  X  70813.97, 
Gr.  Mult,  of  Period  for  Subtr., 
Argument  for  date, 

11.51 

813.97 
6.71 
0 
823.08 
9.11 

32.28 
813.97 
28.49 
0 
857.21 
17.53 

14.74 

813.97 
11.84 
0 
825.90 
14.65 

0.26 
813.97 
3.40 
0 
816.37 
1.26 

7.82 
813.97 
11.09 
0 
823.19 
'    9.69 

0.35 
813.97 
8.73 
0 
818.00 
5.05 

20.93 
813.97 
19.88 
0 
827.82 
26.96 

12.82 
813.97 
3.83 
0 
824.95 
5.67 

ARGUMENT    66.           67.           68.           69.            7O.           71.          72.           73. 

From  Table  116.,  for  2470000, 
The  excess  of  date, 
From  Table  IV., 
Accented  No.  X  70813.97, 
Gr.  Mult,  of  Period  for  Subtr., 
Argument  for  date, 

26.4 
814.0 
5.1 
0 
818.7 
26.8 

27.20 
813.97 
4.21 
—8 
823.30 
22.00 

6.94 
813.97 
25.69 
—11 
830.00 
16.49 

281.5 
814.0 
387.5 
—26 
1415.7 
64.7 

61.7 
814.0 
0.4 
—3 
659.6 
216.2 

201.5 
814.0 
406.6 
0 
1167.8 
254.3 

179.3 
814.0 
281.4 
0 
1196.7 
78.0 

1231.1 

814.0 
184.3 
7.2 
2190.2 
46.4 

ARGUMENT    74.            75.           76.            78.           79.           8O.           81.          82. 

From  Table  116.,  for  2470000, 
The  excess  of  date, 
From  Table  IV., 
Accented  No.  X  70813.97, 
Gr.  Mult,  of  Period  for  Subtr., 
Argument  for  date, 

1691 
814 
1905 
9 
3233 
1186 

54809 
814 
32286 
0 
84753 
3156 

77263 
814 
52991 
0 
95490 
35578 

60.489 
813.970 
170.305 
—.427 
941.008 
103.329 

282.2 
814.0 
401.3 
0 
1315.1 
182.4 

68.3 
814.0 
26.2 
0 
626.1 
282.4 

14.23 

813.97 
112.35 
—28 
869.43 
70.84 

10.000 
813.970 
2.633 
0 
817.603 
9.000 

ARGUMENT    83.           84.           85.           86.            87.            88            89.          9O. 

From  Table  IB.,  for  2470000, 
The  excess  of  date, 
From  Table  IV., 
Accented  No.  X  70813.97, 
Gr.  Mult,  of  Period  for  Subtr., 
Argument  for  date, 

12.80 
813.97 
24.97 
0 
823.44 
28.30 

17.33 
813.97 
8.28 
0 
823.17 
16.41 

9.53 

813.97 
14.44 
0 
823.18 
14.76 

24.78 
813.97 
31.21 

842.22 
27.74 

1.01 
813.97 
4.82 
0 
809.87 
9.93 

4.42 
813.97 
5.08 
0 
821.32 
2.15 

1.92 
813.97 
4.68 
0 
811.11 
9.46 

15.3 
814.0 
20.4 
0 
839.3 
10.4 

HE-NCE: 

Arg.  12'  =  139.6709                 Arg.  73'  =  220.2                   Arg.    1'  =    19.95 
Arg.  12"  =    96.3434                 Arg.  73"  =  367.8                   Arg.  70'  =  133.7 
Arg.  48'=    12.49                     Arg.  73'"=    94.0                   Arg.    5'  =  114.33 
Arg.  12'"  =292.9810                Arg.  53'  =    93.42 

15 


INTRODUCTION. 


TABLE. 

EQUATION. 

TABLE. 

EQUATION. 

TABLE. 

A. 

R 

VI. 

45193.81 

XLV. 

0.04 

LXXXIII. 

1359.62 

72f>!'75 

VII. 

71.73 

XLVI. 

0.02 

LXXXIV. 

0.72 

31.78 

VIII. 

1655.54 

XLVII. 

0.04 

I.XXXV. 

26.83 

43.0'J 

IX. 

1340.46 

XLVIII. 

0.13 

LXXXVI. 

1.07 

0.01 

X. 

206.06 

XLIX. 

0.26 

LXXXVII. 

13.42 

20.11 

XI. 

176.80 

L. 

0.04 

LXXXVIII. 

40.00 

XII. 

360.58 

LI. 

0.40 

LXXXIX. 

6.66 

XIII. 

823.57 

LII. 

2.59 

xc. 

0.00 

4.73 

XIV. 

170.69 

LIII. 

0.25 

XCI. 

2.00 

XV. 

XVI. 
XVII. 

130.22 
169.81 
45.31 

LIV. 
LV. 
LVI. 

0.22 
0.41 
0.01 

1 

Constant, 
A 

17600. 
=  19008.32  B 

—1000. 
=  —  131.93 

XVIII. 

4.56 

LVII. 

0.92 

XIX. 
XX. 

23.67 
48.53 

LVIII. 
LIX. 

5.14 
2.16 

TABLE. 

EQUATION. 

TABLE. 

EQUATION. 

V  YT 

07  ZA 

T  X 

fl  J.'i 

JVJV1. 

XXII. 
XXIII. 
XXIV. 
XXV. 
XXVI. 
XXVII. 
XXVIII. 
XXIX. 
XXX. 
XXXI. 

Ot  .Jt 

34.12 
20.49 
25.40 
0.51 
0.00 
10.81 
0.02 
0.45 
4.33 
3.16 

.IJ.A.. 

LXI. 
LXII. 
LXIII. 
LXIV. 
LXV. 
LXVI. 
LXVII. 
LXVIIL 
LXIX. 
LXX. 

l/.^tt* 

1.39 
0.55 
0.03 
0.04 
0.38 
0.30 
0.59 
0.10 
0.20 
0.36 

XCII. 
XCIII. 
XCIV. 

xcv. 

XCVI. 
XCVII. 
XCVIII. 
XCIX. 

c. 

31.50 

7.!IO 
0.67 
0.23 
0.11 
0.77 
3.44 
0.87 
0.90 

CI. 
CII. 

cm. 

CIV. 

cv. 

CVI. 
CVII. 

cvm. 

CIX. 

0.98 
0.47 
0.39 
0.00 
0.00 
0.39 
0.26 
5.50 
15.79 

XXXII. 

1.78 

LXXI. 

0.13 

Constant, 

—CO. 

XXXIII. 

14.92 

LXXII. 

0.10 

Sum, 

10.17 

XXXIV. 

0.49 

LXXIII. 

1.19 

A  sin  y, 

714.C2 

X  XXV. 

2.05 

LXXIV. 

4.40 

Bcosy, 

—  18L88 

XXXVI. 

0.16 

LXXV. 

2.93 

3>'s  Latitude  = 

-V.i2.96 

xxxvn. 

0.13 

LXXVI. 

1.49 

= 

9'         52.96 

XXXVIII. 

0.02 

LXXVII. 

1.33 

XXXIX. 

0.03 

LXXVIII. 

1.55 

EQUATION. 

TABLE. 

XL. 

2.38 

LXXIX. 

0.50 

TABLE. 

EQUATION. 

XLI. 

1.35 

LXXX. 

31.26 

XLII. 

0.99 

I.XXXI. 

81.62 

i 

XLIII. 

0.56 

LXXXL4. 

—4.52 

cx 

867".08 

CXXII  I. 

0.17 

XLIV. 

0.73 

CXI. 

57.27 

CXXIV. 

<>.<•:; 

CXII. 

28.73 

cxxv. 

d.l  1 

CXIII. 

2.88 

CXXVI. 

0.08 

CXIV. 

4.57 

CXXVII. 

0.01 

cxv. 

2.51 

CXXVIII. 

0.0'J 

CXVI. 

0.02 

('XX  IX. 

(1.07 

Sum  of  Equations  of  Longitude,              0  50222.76 
or,                                         18     3422.76 
Mean  Longitude,                                 312     12C  I..V, 
Longitude  in  Orbit,                               326     1087.31 
y  —  u,                                                   35    3069.1 
y,                                                             2      556.4 

CXVII.  ' 
CXVIII. 
CXIX. 
(XX. 
(XXI. 
CXXII. 

0.02 
0.67 
0.31 
0.46 
0.42 
0.21 

(XXX. 
('XXXI. 
CXXXII. 
(XXXIII. 
CXXXIV. 

(MHi 
0.11 
0.40 
0.68 

0.01 

Table  LXXXII.,                                          —31.33 

Constant, 

3000. 

Nutation  of  Equinox,                                          10.54 

sin  j)'s  Horizontal  Parallax  = 

8466.95 

u  =  true  Longitude  =                       326     1066.52 

Table  CXXXV., 

0.16 

}>'s  Horizontal  Parallax, 

3467.11 

i 

16 


TABLE    la. 

Dute  of  Jan.  0  in  Common  Years, 
and  of  Jan.  1  in  Bissextile  Years. 


Year. 

Dale  in  Mean 
.Solar  Days. 

Year. 

Date  in  Mean 
Solar  Days. 

YEA  :  IN 
THE  CENTURY. 

Days  from 
previous 
Centennial 
Date. 

YEAR  IN 
THE  CKNTURY. 

Days  from 
previous  Cen- 
tennial Date. 

If  Negative. 

If  Positive. 

If  Negative. 

If  Positive. 

—47  135. 

0 

—1000 

1356173 

100 

1 

0 

50 

51 

18262 

—4712 

365 

—  900 

1392698 

99 

2 

365 

495. 

525. 

18628 

—4711 

730 

—  800 

1429223 

as 

3 

730 

48 

53 

18993 

—4710 

1095 

—  700 

1465748 

975. 

45. 

1096 

47 

54 

19358 

—47095. 

1461 

—  600 

1502273 

96 

5 

1461 

46 

55 

19723 

—4708 

1826 

—  500 

1538798 

95 

6 

1826 

455. 

565. 

20089 

—4707  s. 

2191 

—  400 

1575323 

94 

7 

2191 

44 

57 

20454 

—  1706 

2556 

—  300 

1611848 

935. 

85. 

2557 

43 

58 

20819 

—  47055 

2922 

—  200 

1648373 

92 

9 

2922 

42 

59 

21184 

—4704 

3287 

—  100 

1684898 

91 

10 

3287 

415. 

605. 

21550 

—4703 

3652 

1 

1721423 

90 

11 

3652 

40 

61 

21915 

—4702 

4017 

101 

1757948 

895. 

125. 

'  4018 

39 

62 

22280 

—47015. 

4383 

201 

1794473 

88 

13 

4383 

38 

63 

22645 

—4700 

4748 

301 

1830998 

87 

14 

4748 

375. 

645. 

23011 

—  4600 

41273 

401 

1867523 

86 

15 

5113 

36 

65 

23376 

—4500 

77798 

501 

1904048 

855. 

165. 

5479 

35 

66 

23741 

—4400 

114323 

601 

1940573 

84 

17 

5844 

34 

67 

24106 

—  4300 

150848 

701 

1977098 

83 

18 

6209 

335. 

685. 

24472 

—4200 

187373 

801 

2013623 

82 

19 

6574 

32 

69 

24837 

—4100 

223898 

901 

2050148 

815. 

205. 

6940 

31 

70 

25202 

—4000 

^  260423 

1001 

2086673 

80 

21 

7305 

30 

71 

25567 

—3900 

296948 

1101 

2123198  ' 

79 

22 

7670 

295. 

725. 

25933 

—3800 

333473 

1201 

2159723 

78 

23 

8035 

28 

73 

26298 

—3700 

369998 

1301 

2196248 

775. 

245. 

8401 

27 

74 

26663 

—3600 

406523 

1401 

2232773 

76 

25 

8766 

26 

75 

27028 

—3500 

443048 

1501 

2269298 

75 

26 

9131 

255. 

765. 

27394 

—3400 

479573 

1583 

2299238 

74 

27 

9,496 

24 

77 

27759 

—3300 

516098 

1584B. 

2299604 

735. 

285. 

9862 

23 

78 

28124 

—3200 

552623 

1585 

2299969 

72 

29 

10227 

22 

79 

28489 

—3100 

589148 

1586 

2300334 

71 

30 

10592 

215. 

805. 

28855 

—3000 

625673 

1587 

2300699 

70 

31 

10957 

20 

81 

29220 

—2900 

662198 

15885. 

2301065 

695. 

325. 

11323 

19 

82 

29585 

—2800 

698723 

1589 

2301430 

68 

33 

11688 

18 

83 

29950 

—2700 

735248 

1590 

2301795 

67 

34 

12053 

175. 

845. 

30316 

—  2.600 

771773 

1591 

2302160 

66 

35 

12418 

16 

85 

30681 

—2500 

808298 

15925. 

2302526 

655. 

365. 

12784 

15 

86 

31046 

—2400 

844823 

1593 

2302891 

64 

37 

13149 

14 

87 

31411 

—2300 

881348 

1594 

2303256 

63 

38 

13514 

135. 

885. 

31777 

—2200 

917873 

1595 

2303621 

62 

39 

13879 

12 

89 

32142 

—2100 

954398 

15965. 

2303987 

615. 

405. 

14245 

11 

90 

32507 

—2000 

1090923 

1597 

2304352 

60 

41 

14610 

10 

91 

32872 

—1900 

1127448 

1598 

2304717 

59 

42 

14975 

95. 

925. 

33238 

—  1800 

1163973 

1599 

2305082 

58 

43 

15340 

8 

93 

33603 

—1700 

1200498 

16005. 

2305448 

575. 

445. 

15706 

7 

94 

33968 

—1600 

1237023 

1601 

2305813 

56 

45 

16071 

6 

95 

34333 

—1500 

1273548 

1701 

2342337 

55 

46 

16436 

55. 

965. 

34699 

—  1400 

1210073 

1801 

2378861 

54 

47 

16801 

4 

97 

35064 

—  1300 

1246598 

1901 

2415385 

535. 

485. 

17167 

3 

98 

35429 

—1200 

1283123 

52 

49 

17532 

2 

99 

35794 

—1100 

1319648 

51 

50 

17897 

15. 

1005. 

36160 

—1000 

1356173 

50 

51 

18262 

100 

36159 

17 


TABLE    Ib. 

Number  of  Days  from  Jan.  0  in  Common  Tears, 
and  Jan.  1  in  Bissextile  Years. 


15§S. 

JANUARY. 

FEBRUARY. 

1 

H 

i 

n 

Bj 

tl 

3 

& 

fi 

H 

a 

Da/ 

Com- 

BWn 

Com- 

Bissex- 

9) 
1 

J 

^ 

M 

,j 

o 

1 

8 

t* 

9 

n 

S 
u 

S 

of 

mon 

tile 

mon 

tile 

cu 

2j 

g 

t^ 

8 

B 

^ 

0 

B 

R 

o 

a 

Month. 

Year. 

Year. 

Year. 

Year. 

H 

o 

55 

Q 

o 

K 

s 

1 

1 

0 

32 

31 

60 

91 

121 

152 

182 

213 

244 

274 

305 

335 

274 

295 

325 

2 

2 

1 

33 

32 

61 

92 

122 

153 

183 

214 

245 

275 

306 

336 

275 

296 

326 

3 

3 

2 

34 

33 

62 

93 

123 

154 

184 

215 

246 

276 

307 

337 

276 

297 

327 

4 

4 

3 

35 

34 

63 

94 

124 

155 

185 

216 

247 

277 

308 

338 

277 

298 

328 

5 

5 

4 

36 

35 

64 

95 

125 

156 

186 

217 

248 

278 

309 

339 

299 

329 

6 

6 

5 

37 

36 

65 

96 

126 

157 

187 

218 

249 

279 

310 

340 

300 

330 

7 

7 

6 

38 

37 

66 

97 

127 

158 

188 

219 

250 

280 

311 

341 

301 

331 

8 

8 

7 

39 

38 

67 

98 

128 

159 

189 

220 

251 

281 

312 

342 

302 

W> 

9 

9 

8 

40 

39 

68 

99 

129 

160 

190 

221 

252 

282 

313 

343 

303 

333 

10 

10 

9 

41 

40 

69 

100 

130 

161 

191 

222 

253 

283 

314 

344 

304 

334 

11 

11 

10 

42 

41 

70 

101 

131 

162 

192 

223 

254 

284 

315 

345 

305 

335 

12 

12 

11 

43 

42 

71 

102 

132 

163 

193 

224 

255 

285 

316 

346 

306 

33() 

13 

13 

12 

44 

43 

72 

103 

133 

164 

194 

225 

256 

286 

317 

:t  i? 

307 

337 

14 

14 

13 

45 

44 

73 

104 

134 

165 

195 

226 

257 

287 

318 

348 

308 

338 

15 

15 

14 

46 

45 

74 

105 

135 

166 

196 

227 

258 

288 

319 

349 

278 

309 

339 

16 

16 

15 

47 

46 

75 

106 

136 

167 

197 

228 

259 

289 

320 

350 

279 

310 

340 

17 

17 

16 

48 

47 

76 

107 

137 

168 

198 

229 

260 

290 

321 

351 

280 

311 

341 

18 

18 

17 

49 

48 

77 

108 

138 

169 

199 

230 

261 

291 

322 

352 

281 

312 

312 

19 

19 

18 

50 

49 

78 

109 

139 

170 

200 

231 

262 

292 

323 

353 

282 

313 

343 

20 

20 

19 

51 

50 

79 

110 

140 

171 

201 

232 

263 

293 

324 

354 

283 

314 

344 

21 

21 

20 

52 

51 

80 

111 

141 

172 

202 

233 

264 

294 

325 

355 

284 

315 

345 

22 

22 

21 

53 

52 

81 

112 

142 

173 

203 

234 

265 

295 

326 

35(5 

285 

316 

346 

23 

23 

22 

54 

53 

82 

113 

143 

174 

204 

235 

266 

296 

327 

357 

286 

317 

:U7 

24 

24 

23 

55 

54 

83 

114 

144 

175 

205 

236 

267 

297 

328 

358 

287 

318 

348 

25 

25 

24 

56 

55 

84 

115 

145 

176 

206 

237 

268 

298 

329 

359 

288 

319 

349 

26 

26 

25 

57 

56 

85 

116 

146 

177 

207 

238 

269 

299 

330 

360 

289 

320 

350 

27 

27 

26 

58 

57 

86 

117 

147 

178 

208 

239 

270 

300 

:{.'(  l 

361 

290 

321 

35  1 

28 

28 

27 

59 

58 

87 

118 

148 

179 

209 

240 

271 

301 

:!.'(-,; 

862 

291 

322 

352 

29 

29 

28 

59 

88 

119 

149 

180 

210 

241 

272 

302 

333 

:»;:( 

292 

323 

:{;-,:< 

30 

30 

29 

89 

120 

150 

181 

211 

242 

273 

303 

334 

364 

293 

324 

354 

31 

31 

30 

90 

151 

212 

243 

304 

365 

294 

355 

t 

18 


TABLE    lc. 


To  Reduce  Hours,  Minutes,  and  Seconds  of  Time  to  Decimals  of  a  Day. 


Hours 
an.l 
Minutes. 

Decimal  of  a  Day. 

Minutes. 

Decimal  of  a  Day. 

Minutes 
and 
Seconds. 

Decimal  of  a  Day. 

Seconds. 

Decimal  of  a  Day. 

h. 

m. 

m. 

s. 

1 

.041666667 

13 

.009027778 

50 

.034722222 

23 

.000266204 

2 

.083333333 

14 

.009722222 

51 

.035416667 

24 

.000277778 

3 

.125000000 

15 

.010416667 

52 

.036111111 

25 

.000289352 

4 

.166666667 

16 

.011111111 

53 

.036805556 

26 

.000300926 

5 

.208333333 

17 

.011805556 

54 

.037500000 

27 

.000312500 

6 

.2.50000000 

18 

.012500000 

55 

.038194444 

28 

.000324074 

7 

.291666667 

19  , 

.013194444 

56 

.038888889 

29 

.000335648 

8 

.333333333 

20 

.013888889  . 

57 

.039583333 

30 

.000347222 

9 

.375000000 

21 

.014583333 

58 

.040277778. 

31, 

.000358796 

10 

.416666667 

22 

.015277778 

59 

.040972222 

32 

.000370370 

11 

.458333333 

23 

.015972222 

60 

.041666667 

33 

.000381944 

12 

.500000000 

24 

.016666667 

34 

.000393519 

13 

.541666667 

25 

.017361111 

35 

.000405093 

14 

.583333333 

26 

.018055556 

36 

.000416667 

15 

.625006000 

27 

.018750000 

37 

.000428241 

S. 

16 

.666666667 

28 

.019444444 

I 

.000011574 

38 

.000439815 

17 

.708333333 

29 

.020138889 

2 

.000023148 

39 

.000451389 

18 

.750000000 

30 

.020833333 

3 

.000034722 

40 

.000462963 

19 

.791666667 

31 

.021527778 

4 

.000046296 

41 

.000474537 

20 

.833333333 

32 

.022222222 

5 

.000057870 

42 

.000486111 

21 

.875000000 

33 

.022916667 

6 

.000069444 

43 

.000497685 

22 

.916666666 

34 

.023611111 

7 

.000081019 

44 

.000509259 

23 

.958333333 

35 

.024305556 

8 

.000092593 

45 

.000520833 

24 

1.000000000 

36 

.025000000 

9 

.000104167 

46 

.000532407 

37 

.025694444 

10 

.000115741 

47 

.000543981 

ni. 

i 

.000694444 

38 

.026388889 

11 

.000127315 

48 

.000555556 

2 

.001388889 

39 

.027083333 

12 

.000138889 

49 

.000567130 

3 

.002083333 

40 

.027777778 

13 

.000150463 

50 

.000578704 

4 

.002777778 

41 

.0-28472222 

14 

.000162037 

51 

.000590278 

5 

.003472222 

42 

.029166667 

15 

.000173611 

52 

.000601852 

6 

.004166667 

43 

.029861111 

16 

.000185185 

53 

.000613426 

7 

.001861111 

44 

.030555556 

17 

.000196759 

54 

.000625000 

8 

.005555556 

45 

.031250000 

18 

.000208333 

55 

.000636574 

9 

.006250000 

46 

.031944444 

19 

.000219907 

56 

.000648148 

10 

.006944444 

47 

.032638889 

20 

.000231481 

57 

.000659722 

11 

.007638889 

48 

.033333333 

21 

.000243056 

58 

.000671296 

12 

.008333333 

49 

.031027778 

22 

.000254630 

59 

.000682870 

13 

.009027778 

50 

.034722222 

23 

.000266204 

60 

.000694444 

19 


TABLE  II«. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


juiuMod.      ii      u'     y-u    (y-u')   ARG.  1.    I'.      8.     «'. 

0.000 

0.000 

2300000 

315  909.18 

It 

-1.34 

130  248.9 

+0.9 

22.4927509 

—1188 

24.229050 

+079 

2301000 

171  2335.93 

1.32 

183   83.5 

0.9 

2.9741917 

1173 

6.247185 

078 

2302000 

28  162.69 

1.30 

235  3518.1 

0.9 

11.0101863 

1158 

20.077254 

077 

2303000 

244  1589.47 

1.29 

288  3352.7 

0.9 

19.0461825 

1143 

2.095387 

076 

2304000 

100  3016.27 

1.27 

341  3187.2 

0.9 

27.0821802 

1128 

15.925454 

075 

2305000 

317  843.09 

1.26 

34  3021.8 

0.9 

7.5636269 

1113 

29.755521 

074 

2306000 

173  2269.92 

1.24 

87  2856.4 

0.8 

15.5996276 

1097 

11.773650 

073 

2307000 

30   96.77 

1.22 

140  2690.9 

0.8 

23.6356298 

1082 

25.603715 

072 

2308000 

246  1523.64 

1.21 

193  2525.4 

0.8 

4.1170810 

1067 

7.62  1843 

071 

2309000 

102  2950.52 

1.19 

246  2359.9 

0.8 

12.1530862 

1052 

21.451905 

070 

2310000 

319  777.42 

1.17 

299  2194.4 

0.8 

20.1890929 

1037 

3.470031 

069 

2311000 

175  2204.34 

1.15 

352  2028.9 

0.8 

0.6705487 

1022 

17.300092 

068 

2312000 

32   31.27 

1.13 

45  1863.4 

0.8 

8.7065584 

1007 

31.130151 

067 

2313000 

248  1458.23 

1.12 

98  1697.8 

0.8 

16.7425697 

0992 

13.148273 

066 

2314000 

104  2885.19 

1.10 

151  1532.3 

0.8 

24.7785824 

0977 

26.978331 

065 

2315000 

321  712.18 

1.09 

204  1366.7 

0.8 

5.2600442 

0962 

8.996451 

064 

2316000 

177  2139.18 

1.07 

257  1201.1 

0.7 

13.2960600 

0946 

22.826507 

063 

2317000 

33  3566.20 

1.05 

310  1035.6 

0.7 

21.3320773 

0931 

4.844626 

062 

2318000 

250  1393.24 

1.04 

3  870.0 

0.7 

1.8135436 

0916 

18.674680 

061 

2319000 

106  2820.29 

1.02 

56  704.4 

0.7 

9.8495639 

0901 

0.692797 

060 

2320000 

323  647.37 

1.00 

109  538.6 

0.7 

17.8855856 

0886 

14.522848 

059 

2321000 

179  2074.45 

0.98 

162  373.0 

0.7 

25.9216089 

0871 

28.352899 

058 

2322000 

35  3501.56 

0.96 

215  207.4 

0.7 

6.4030813 

0856 

10.371013 

057 

2323000 

252  1328.68 

0.95 

268   41.7 

0.7 

14.4391077 

0841 

24.201061 

056 

2324000 

108  2755.82 

0.93 

320  3476.0 

0.7 

22.4751355 

0826 

6.219173 

055 

2325000 

325  582.98 

0.92 

13  3310.4 

0.7 

2.9566124 

0811 

20.049220 

.054 

2326000 

181  2010.15 

0.90 

66  3144.7 

0.6 

10.9926433 

0795 

2.067329 

053 

2327000 

37  3  137.31 

0.88 

119  2979.0 

0.6 

19.0286756 

0780 

15.897374 

052 

2328000 

254  1264.55 

0.87 

172  2813.2 

0.6 

27.0647095 

0765 

29.727418 

051 

2329000 

110  2691.77 

0.85 

225  2647.5 

0.6 

7.5461925 

0750 

11.745524 

050 

2330000 

327  519.02 

0.83 

278  2481.8 

0.6 

15.5822294 

0735 

25.575566 

049 

2331000 

183  1946.28 

0.81 

331  2316.0 

0.6 

23.6182678 

0720 

7.593*  171 

048 

2332000 

39  3373.55 

0.79 

24  2150.3 

0.6 

4.0997553 

0705 

21.423711 

047 

2333000 

256  1200.85 

0.78 

77  1984.5 

0.6 

12.1357967 

0690 

3.441814 

046 

2334000 

112  2628.16 

0.76 

130  1818.7 

0.6 

20.1718397 

0675 

17.271851 

015 

2335000 

329  455.48 

0.75 

183  1652.9 

0.6 

0.6533317 

0660 

31.  10  ISSN 

044 

233<;ooo 

185  1882.  s:» 

0.73 

236  1IS7.I 

0.5 

8.68!):t777 

0644 

13.11!i!>ss 

0  13 

•-2:07000 

41  3310.19 

0.71 

289  1321.3 

0.5 

16.7254252 

0629 

26.950023 

012 

2888000 

258  1137.57 

0.70 

3J2  1155.4 

0.5 

24.7614742 

0614 

8.96812] 

041 

2339000 

114  2564.96 

0.68 

35  989.6 

0.5 

5.2429723 

0599 

22.798153 

040 

•^:!IOOOO 

331  392.38 

0.66 

88  823.7 

0.5 

13.2790243 

0584 

4.816249 

039 

8841000 

187  IMii.sl 

0.64 

141  657.8 

0.5 

21.315077N 

0569 

18.6102SO 

038 

23  12000 

43  3247.25 

0.62 

194  491.9 

0.5 

1.7965804 

055  1 

0.66  1373 

037 

3848000 

260  1071.72 

0.61 

247  326.0 

0.5 

9.8326370 

0538 

14.494402 

036 

234  1000 

116  2502.20 

0.59 

300  160.1 

0.4 

17.8686951 

0523 

28.324430 

035 

23  15000 

333  329.70 

0.58 

352  3594.2 

0.4 

25.9047547 

0508 

10.342521 

034 

23  IfiOOO 

189  1757.21 

0.56 

45  3428.3 

0.4 

6.3862634 

0493 

24.  1725  Hi 

033 

23  17000 

45  31S1.75 

0.54 

98  3202.3 

0.4 

14.422326  1 

0478 

6.190035 

032 

2348080 

262  1012.30 

0.53 

151  3096.3 

0.3 

22.4583902 

0462 

20.02065!) 

031 

2849000 

us  2i3!>.  MI 

0.51 

204  2930.4 

0.3 

2.9399035 

0447 

2.038746 

030 

3850000 

335  207.  15 

-0.49 

257  2764.4 

+0.3 

10.9759706 

-0432 

15.868767 

+029 

20 


TABLE  Ha. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


juiianPeriod.      u      u'     y-u    (y-u')   ARG.  1.    1'.      2.     2'. 

0.000 

0.000 

O       II 

If 

O       ft 

II 

d. 

d 

2350000 

335  267.45 

-0.49 

257  2764.4 

+0.3 

10.9759706 

-0432 

15.868767 

+029 

2351000 

191  1695.05 

0.47 

310  2598.4 

0.3 

19.0120393 

0417 

29.698788 

028 

2352000 

47  3122.67 

0.45 

3  2432.4 

0.3 

27.0481095 

0402 

11.716872 

027 

2353000 

264  950.30 

0.44 

56  2266.4 

0.3 

7.5296288 

0387 

25.546891 

026 

2354000 

120  2377.96 

0.42 

109  2100.3 

0.3 

15.5657021 

0372 

7.564973 

025 

2355000 

337  205.63 

0.41 

162  1934.3 

0.3 

23.6017769 

0357 

21.394990 

024 

2356000 

193  1633.31 

0.39 

215  1768.2 

0.2 

4.0833007 

0341 

3.413069 

023 

2357000 

49  3061.02 

0.37 

268  1602.2 

0.2 

12.1193785 

0326 

17.243084 

022 

2358000 

266  888.74 

0.36 

321  1436.1 

0.2 

20.1554579 

0311 

31.073098 

021 

2359000 

122  2316.48 

0.34 

14  1270.0 

0.2 

0.6369863 

0296 

13.091175 

020 

2360000 

339  144.23 

0.32 

67  1103.9 

0.2 

8.6730686 

0281 

26.921186 

019 

2361000 

195  1572.01 

0.30 

120  937.8 

0.2 

16.7091525 

0266 

8.939261 

018 

2362000 

51  2999.80 

0.28 

173  771.6 

0.2 

24.7452379 

0251 

22.769271 

017 

2363000 

268  827.60 

0.27 

226  605.5 

0.2 

5.2267724 

0235 

4.787344 

016 

2364000 

124  2255.43 

0.25 

279  439.3 

0.2 

13.2628608 

0220 

18.617351 

015 

2365000 

341   83.27 

0.24 

332  273.2 

0.2 

21.2989508 

0205 

0.635422 

014 

2366000 

197  1511.13 

0.22 

25  107.0 

0.1 

1.7804898 

0190 

14.465428 

013 

2367000 

53  2939.00 

0.20 

77  3540.8 

0.1 

9.8165828 

0175 

28.295432 

012 

2368000 

270  766.90 

0.19 

130  3374.6 

0.1 

17.8526773 

0159 

10.313500 

Oil 

2369000 

126  2194.81 

0.17 

183  3208.4 

0.1 

25.8887734 

0144 

24.143503 

010 

2370000 

343   22.73 

0.15 

236  3042.2 

0.1 

6.3703184 

0129 

6.161569 

009 

2371000 

199  1450.68 

0.13 

289  2875.9 

0.1 

14.4064175 

0114 

19.991569 

oca 

2372000 

55  2878.64 

0.11 

342  2709.7 

0.1 

22.4425181 

0099 

2.009633 

007 

2373000 

272  706.62 

0.10 

35  2543.4 

0.1 

2.9240678 

0083 

15.839632 

006 

2374000 

128  2134.62 

0.08 

88  2377.2 

0.1 

10.9601715 

0068 

29.669629 

005 

2375000 

344  3562.63 

0.06 

141  2210.9 

+0.1 

18.9962766 

005^ 

11.6876^0 

004 

2376000 

201  1390.66 

0.04 

194  2044.6 

0.0 

27.0323833 

0037 

25.517686 

003 

2377000 

57  2818.71 

0.02 

247  1878.3 

0.0 

7.5139391 

0022 

7.535745 

002 

2378000 

274  646.77 

-0.01 

300  1711.9 

0.0 

15.5500488 

-0007 

21.365738 

+001 

2379000 

130  2074.85 

-i-O.Ol 

353  1545.6 

0.0 

23.5861601 

+0008 

3.383795 

000 

2380000 

316  3502.95 

0.03 

46  1379.2 

0.0 

4.0677201 

0021 

17.213787 

-001 

2381000 

203  1331.07 

0.05 

99  1212.9 

0.0 

12.1038347 

0039 

31.043777 

002 

2382000 

59  2759.20 

0.07 

152  1046.5 

0.0 

20.1399505 

0054 

13.061831 

003 

2383000 

276  587.35 

0.08 

205  880.1 

0.0 

0.6215154 

0070 

26.891820 

004 

2384000 

132  2015.52 

0.10 

258  713.7 

0.0 

8.6576343 

0085 

8.909872 

005 

2385000 

348  3443.71 

0.11 

311  547.3 

0.0 

16.6937547 

0100 

22.739858 

006 

2386000 

205  1271.91 

0.13 

4  380.9 

-0.1 

24.7298766 

0115 

4.757908 

007 

2387000 

61  2700.13 

0.15 

57  214.5 

0.1 

5.2114476 

0130 

18.587893 

008 

2388000 

278  528.37 

0.16 

110   48.0 

0.1 

13.2475726 

0146 

0.605940 

009 

2389000 

134  1956.62 

0.18 

162  3481.6 

0.1 

21.2836990 

0161 

14.435923 

010 

2390000 

350  3384.89 

0.20 

215  3315.1 

0.1 

1.7652747 

0176 

28.265904 

Oil 

2391000 

207  1213.18 

0.22 

268  3148.6 

0.1 

9.8014042 

0191 

10.283949 

012 

2392000 

63  2641.49 

0.24 

321  2982.1 

0.1 

17.8375353 

0206 

24.113929 

013 

2393000 

280  469.81 

0.25 

14  2815.6 

0.1 

25.8736679 

0222 

6.131972 

014 

2394000 

136  1898.15 

0.27 

67  2649.1 

0.2 

6.3552496 

0237 

19.961949 

015 

2395000 

352  3326.51 

0.28 

120  2482.6 

0.2 

14.3913852 

0252 

1.979990 

016 

2396000 

209  1154.88 

0.30 

173  2316.1 

0.2 

22.4275224 

0268 

15.809965 

018 

2397000 

65  2583.27 

0.32 

226  2149.5 

0.2 

2.9091087 

0283 

29.639940 

019 

2398000 

282  411.68 

0.33 

279  1983.0 

0.3 

10.9452489 

0299 

11.657978 

020 

2399000 

138  1840.11 

0.35 

332  1816.4 

0.3 

18.9813907 

0314 

25.487950 

021 

2400000 

354  3268.55 

+0.37 

25  1649.8 

-0.3 

27.0175339 

+0329 

7.505986 

-022 

21 


TABLE  Ha. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


juiS^Veriod.   ARG.  3.    3'.     4.      S.    5'.    6.     7.     8.     9. 

d. 

0.0000 

d. 

d. 

0.00 

d. 

d. 

d. 

d. 

2300000 

16.095387 

-27 

127.1121 

383.5901 

-14 

23.6328 

8.7464 

3.8010 

21.5098 

2301000 

12.065368 

27 

31.3631 

148.2332 

14 

13.0730 

8.9197 

3.6257 

8.2136 

2302000 

8.015349 

27 

300.S  137 

324.6615 

14 

2.5132 

9.0931 

3.4504 

24.7202 

2303000 

3.975330 

26 

205.0647 

89.3046 

14 

26.8004 

9.2663 

3.2750 

11.4240 

2304000 

29.465900 

26 

109.2856 

265.7329 

14 

16.2406 

9.4395 

3.0997 

27.9306 

2305000 

25.425882 

26 

13.5065 

30.3761 

14 

5.6808 

9.6128 

2.9244 

14.6345 

2306000 

21.385865 

25 

282.9872 

206.8044 

13 

29.9679 

0.1724 

2.7491 

1.3383 

2307000 

17.345848 

25 

187.2081 

383.2328 

13 

19.4081 

0.3457 

2.5738 

17.8449 

2308000 

13.305831 

24 

91.4290 

147.8760 

13 

8.8483 

0.5190 

2.3984 

4.5487 

••>:«>9000 

9.265815 

24 

360.9097 

324.3044 

13 

33.1354 

0.6922 

2.2231 

21.0554 

2310000 

5.225799 

24 

265.1306 

88.9476 

13 

22.5756 

0.8655 

2.0478 

7.7592 

2311000 

1.185783 

23 

169.3515 

265.3761 

12 

12.0158 

1.0388 

1.8725 

24.2659 

2312000 

26.676355 

23 

73.5725 

30.0193 

12 

1.4560 

1.2121 

1.6972 

10.9697 

2313000 

22.636340 

23 

343.0531 

206.4478 

12 

25.7431 

1.3853 

1.5218 

27.4763 

2314000 

18.596325 

22 

247.2741 

382.8763 

12 

15.1833 

1.5586 

1.3465 

14.1801 

2315000 

14.556311 

22 

151.4950 

147.5196 

12 

4.6235 

1.7319 

1.1712 

0.8840 

2316000 

10.516297 

22 

55.7159 

323.9482 

12 

28.9106 

1.9052 

0.9959 

17.3906 

2317000 

6.476284 

21 

325.1966 

88.5915 

11 

18.3508 

2.0785 

0.8206 

4.0945 

2318000 

2.436270 

21 

229.4175 

265.0201 

11 

7.7910 

2.2517 

0.6452 

20.6011 

2319000 

27.926845 

21 

133.6384 

29.6635 

11 

32.0781 

2.4250 

0.4699 

7.3050 

2320000 

23.886833 

20 

37.8594 

206.0923 

11 

21.5183 

2.5983 

0.2946 

23.8116 

3831000 

19.846820 

20 

307.3400 

382.5209 

11 

10.9585 

2.7716 

15.5066 

10.5154 

2322000 

15.806809   20 

211.5609 

147.  Kill 

10 

0.3987 

2.9449 

15.3313 

27.0221 

2323000 

11.766797 

19 

115.7819 

323.5930 

10 

24.6858 

3.1182 

15.1560 

13.7260 

2324000 

7.726786 

19 

20.0028 

88.2365 

10 

14.1260 

3.2915 

14.9807 

0.4298 

2325000 

3.686775 

19 

289.4835 

264.6652 

10 

3.5662 

3.4648 

14.8053 

16.9365 

3826000 

29.177352 

18 

193.7044 

29.3087 

10 

27.8533 

3.6380 

14.6300 

3.6403 

2327000 

25.137342 

18 

97.9253 

205.7374 

10 

17.2934 

3.8113 

14.4547 

20.1470 

2328000 

21.097332 

18 

2.1463 

382.1662 

09 

6.7336 

3.9846 

14.2794 

6.8508 

2329000 

17.057323 

17 

271.6269 

146.8098 

09 

31.0207 

4.1579 

14.1041 

23.3575 

2330000 

13.017314 

17 

175.8478 

323.2386 

09 

20.4609 

4.3312 

13.9288 

10.0613 

•J.'i.-ilOOO 

8.977305 

16 

80.0688 

87.8822 

09 

9.9011 

4.5045 

13.7535 

26.56SO 

2882000 

4.937296 

16 

349.5494 

264.3110 

09 

34.1882 

4.6778 

13.5782 

13.2719 

2383000 

0.897288 

16 

253.7703 

28.!).-,  17 

09 

23.6283 

4.8511 

13.4029 

29.7785 

2334000 

26.387869 

15 

157.9913 

205.3835 

08 

13.0685 

5.0244 

13.2276 

16.48v>  I 

2335000 

22.347861 

15 

62.2122 

381.8124 

08 

2.5087 

5.1977 

13.0522 

3.1863 

2336000 

18.307854 

15 

331.6929   Mli.  l.Vil 

08 

26.7958 

5.3710 

12.8769 

19.6930 

3837000 

14.267847 

14 

235.9136 

322.NS50 

08 

16.3860 

5.6443 

12.7016 

6.3968 

233Mioo 

10.227841 

14 

110.1317 

87.6286 

08 

5.6761 

5.7176 

12.5263 

22.9035 

233<)000 

e.lsls:;:. 

14 

11.3557 

263.9577 

07 

29.9632 

5.8909 

12.3510 

9.6074 

23  10000 

2.147829 

13 

813.8868 

28.6015 

07 

19.4034 

6.0642 

12.1757 

26.1141 

•j:ui(XM) 

27.638413 

13 

218.0579 

205.0305 

07 

8.8436 

6.2375 

12.0004 

12.8179 

2342000 

23.598401 

13 

123.2782 

381.4595 

07 

33.1306 

6.4108 

11.825) 

29.3216 

2843000 

19.558402 

12 

36.4991 

1  Hi.  1033 

07 

22.6709 

6.5841 

11.6498 

16.0285 

2344000 

16.618396 

12 

295.9797 

3v.",'.  5323 

07 

12.0110 

6.7574 

11.4745 

2.732  1 

2946000 

11.478894 

12 

200.2007 

87.1762 

06 

1.4611 

6.9307 

11.2991 

19.2391 

2846000 

7.438391 

11 

104.4216 

263.6053 

06 

26.7883 

7.1041 

11.1238 

5.9429 

•-i:t  I7(ii  HI 

3.:i!is:isi 

11 

8.6436 

28.2  192 

06 

15.1784 

7.2774 

10.0  is., 

22.4-496 

2348000 

28  -ss97:» 

11 

278.1232 

204.IJ7S3 

06 

4.6ls:> 

7.4507 

10.7732 

9.1535 

2349000 

24J848970 

10 

182.3441 

381.1074 

06 

28.9056   7.W  10 

10.5979 

25.6602 

2860000 

•„'().  SOS9I.M   -10 

86.5651 

145.7514 

-08 

|K  3i:.7 

7.7973 

10.4226 

12.3641 

TABLE 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


juiiKiod.   ARG.  3.    3'.     4.      5.    5.    6.     7.     8.     9. 

d. 

0.0000 

d. 

d. 

0.00 

d. 

d. 

d. 

d. 

2350000 

20.808968 

-10 

86.5651 

145.7514 

-05 

18.3457 

7.7973 

10.4226 

12.3641 

2351000 

16.768966 

10 

356.0457 

322.1805 

05 

7.7859 

7.9706 

10.2473 

28.8708 

2352000 

12.728965 

09 

260.2666 

86.8245 

05 

32.0730 

8.1439 

10.0720 

15.5747 

2353000 

8.688963 

09 

164.4876 

263.2537 

05 

21.5131 

8.3172 

9.8967 

2.2786 

2354000 

4.648963 

08 

68.7085 

27.8977 

05 

10.9533 

8.4905 

9.7214 

18.7853 

2355000 

0.608962 

08 

338.1891 

204.3270 

05 

0.3934 

8.6638 

9.5460 

5.4892 

2356000 

26.099550 

08 

242.4101 

380.7562 

04 

24.6805 

8.8372 

9.3707 

21.9959 

2357000 

22.059550 

07 

146.6310 

145.4003 

04 

14.1207 

9.0105 

9.1954 

8.6998 

2358000 

18.019551 

07 

50.8520 

321.8296 

04 

3.5608 

9.1838 

9.0201 

25.2065 

2359000 

13.979552 

07 

320.3326 

86.4737 

04 

27.8479 

9.3571 

8.8448 

11.9104 

2360000 

9.939553 

06 

224.5536 

262.9030 

04 

17.2880 

9.5304 

8.6695 

28.4172 

2361000 

5.899555 

06 

128.7745 

27.5472 

04 

6.7282 

0.0900 

8.4942 

15.1211 

2362000 

1.859557 

06 

32.9954 

203.9765 

03 

31.0152 

0.2633 

8.3189 

1.8250 

2363000 

27.350147 

05 

302.4760 

380.4059 

03 

20.4554 

0.4366 

8.1436 

18.3317 

2364000 

23.310150 

05 

206.6970 

145.0501 

03 

9.8955 

0.6100 

7.9683 

5.0356 

2365000 

19.270153 

05 

110.9179 

321.4795 

03 

34.1825 

0.7833 

7.7930 

21.5424 

2366000 

15.230156 

04 

15.1389 

86.1238 

03 

23.6227 

0.95G6 

7.6177 

8.2463 

2367000 

11.190160 

04 

284.6195 

262.5532 

02 

13.0628 

1.1300 

7.4424 

24.7530 

2368000 

7.150164 

04 

188.8404 

27.1975 

02 

2.5030 

1.3033 

7.2671 

11.4569 

2369000 

3.110169 

03 

93.0614 

203.6270 

02 

26.7900 

1.4766 

7.0918 

27.9636 

2370000 

28.600762 

03 

362.5420 

380.0565 

02 

16.230-2 

1.6499 

6.9165 

14.6676 

2371000 

24.560767 

03 

266.7629 

144.7008 

02 

5.6703 

1.8232 

6.7412 

1.3715 

2372000 

20.520772 

02 

170.9839 

321.1303 

02 

29.9573 

1.9965 

6.565SJ 

17.8783 

2373000 

16.480778 

02 

75.2048 

85.7747 

01 

19.3975 

2.1699 

6.3906 

4.5822 

2374000 

12.440784 

01 

344.6854 

262.2043 

01 

8.8376 

2.3432 

6.2153 

21.0889 

2375000 

8.400791 

01 

248.9064 

26.8487 

01 

33.1246 

2.5165 

6.0400 

7.7929 

2376000 

4.360798 

01 

153.1273 

203.2783 

01 

22.5648 

2.6899 

5.8648 

24.2996 

2377000 

0.320805 

00 

57.3483 

379.7079 

-01 

12.0049 

2.8632 

5.6895 

11.0035 

2378000 

25.811401 

-00 

326.8289 

144.3524 

00 

1.4450 

3.0366 

5.5142 

27.5103 

2379000 

21.771409 

+00 

231.0498 

320.7820 

00 

25.7321 

3.2099 

5.3389 

14.2142 

2380000 

17.731417 

01 

135.2708 

85.4265 

00 

15.1722 

3.3832 

5.1636 

0.9181 

2381000 

13.691425 

01 

39.4917 

261.8562 

00 

4.6123 

3.5565 

4.9883 

17.4249 

2382000 

9.651434 

01 

308.9723 

26.5007 

00 

28.8993 

3.7299 

5.8130 

4.1288 

2383000 

5.611444 

02 

213.1933 

202.9305 

00 

18.3395 

3.9032 

4.6377 

20.6356 

2384000 

1.571454 

02 

117.4142 

379.3602 

-t-01 

7.7796 

4.0766 

4.4624 

7.3395 

2385000 

27.062052 

02 

21.6352 

144.0048 

01 

32.0666 

4.2499 

4.2871 

23.8463 

2386000 

23.022062 

03 

291.1158 

320.4346 

01 

21.5067 

4.4232 

4.1118 

10.5502 

2387000 

18.982073 

03 

195.3367 

85.0792 

01 

10.9469 

4.5966 

3.9365 

27.0570 

2388000 

14.942084 

03 

99.5577 

261.5090 

01 

0.3870 

4.7699 

3.7612 

13.7610 

2389000 

10.902095 

04 

3.7786 

26.1537 

01 

24.6740 

4.9433 

3.5859 

0.4649 

2390000 

6.862107 

04 

273.2592 

202.5835 

02 

14.1141 

5.1166 

3.4106 

16.9717 

2391000 

2.822119 

04 

177.4802 

379.0134 

02 

3.5542 

5.2899 

3.2353 

3.6757 

2392000 

28.312720 

05 

81.7011 

143.6581 

02 

27.8413 

5.4633 

3.0600 

20.1824 

2393000 

24.272733 

05 

351.1817 

320.0880 

02 

17.2814 

5.6366 

2.8847 

6.8864 

2394000 

20.232746 

05 

255.4027 

84.7327 

02 

6.7215 

5.8100 

2.7094 

23.3932 

2395000 

16.192759 

06 

159.6236 

261.1627 

03 

31.0085 

5.9833 

2.5341 

10.0971 

2396000 

12.152773 

06 

63.8446 

25.8075 

03 

20.4486 

6.1566 

2.3589 

26.6039 

2397000 

8.112788 

06 

333.3252 

202.2374 

03 

9.8887 

6.3300 

2.1836 

13.3078 

2398000 

4.072802 

07 

237.5461 

378.6674 

03 

34.1757 

6.5033 

2.0083 

0.0118 

2399000 

0.032817 

07 

141.7671 

143.3123 

03 

23.6158 

6.6767 

1.8330 

16.5186 

2400000 

25.523420  -+-08 

45.9880 

319.7423 

+03 

13.0559 

6.8500 

1.6577 

3.2226 

23 


TABLE  lie 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


jJKod.   ARG-  IOt      '*•        I2'        13'       14'       l5'       16'      l7' 

2300000 

23.5709 

6.1437 

211.1477 

9.3568 

a. 
25.412 

6.884 

0.887 

10.837 

2301000 

24.3246 

11.6470 

171.2876 

0.8971 

1.197 

13.471 

2.544 

27.256 

2302000 

25.0784 

17.1501 

131.4274 

2.5220 

6.246 

5.866 

4.751 

16.355 

2303000 

0.2104 

22.6538 

91.5673 

4.1470 

11.295 

12.454 

6.958 

5.451 

2304000 

0.9642 

1.2788 

51.7072 

5.7719 

16.343 

4.849 

9.165 

21.871 

2305000 

1.7179 

6.7822 

11.8470 

7.3968 

21.392 

11.437 

11.371 

10.969 

2306000 

2.4716 

12.2856 

318.6070 

9.0217 

26.440 

3.832 

13.578 

0.067 

2307000 

3.2254 

17.7890 

278.7469 

0.5620 

2.226 

10.419 

1.531 

16.486 

2308000 

3.9791 

23.2923 

238.8867 

2.1870 

7.274 

2.815 

3.738 

5.584 

2309000 

4.7329 

1.9174 

199.0266 

3.8119 

12.323 

9.402 

5.945 

22.005 

2310000 

5.4866 

7.4208 

159.1665 

5.4368 

17.371 

1.798 

8.152 

11.101 

2311000 

6.2403 

12.9242 

119.3063 

7.0617 

22.420 

8.385 

10.359 

0.199 

2312000 

6.9941 

18.4276 

79.4462 

8.6866 

27.468 

0.781 

12.566 

16.619 

2313000 

7.7478 

23.9309 

39.5860 

0.2269 

3.254 

7.368 

0.519 

5.717 

2314000 

8.5016 

2.5560 

346.8460 

1.8519 

8.303 

13.955 

2.726 

22.136 

2315000 

9.2553 

8.0593 

306.4858 

3.4768 

13.351 

6.351 

4.933 

11.234 

2316000 

10.0091 

13.5627 

266.6257 

5.1017 

18.400 

12.938 

7.140 

0.332 

2317000 

10.7629 

19.0661 

226.7655 

6.7267 

23.448 

5.334 

9.347 

16.752 

2318000 

11.5166 

24.5694 

186.9053 

8.3516 

28.497 

11.921 

11.554 

5.849 

2319000 

12.2704 

3.1945 

147.0451 

9.9765 

4.282 

4.316 

13.761 

22.269 

2320000 

13.0241 

8.6978 

107.1850 

1.5168 

9.330 

10.905 

1.714 

11.366 

2321000 

13.7779 

14.2011 

67.3248 

3.1417 

14.379 

3.299 

3.921 

0.464 

8828000 

14.5316 

19.7045 

27.4646 

4.7666 

19.428 

9.886 

6.128 

16.884 

2323000 

15.2854 

25.2078 

334.22  Hi 

(i.3915 

24.476 

2.282 

8.335 

5.982 

2324000 

16.0391 

3.8329 

294.3644 

8.0165 

0.262 

8.869 

10.542 

22.401 

2325000 

16.7929 

9.3362 

254.5042 

9.6414 

5.310 

1.265 

12.749 

11.499 

2326000 

17.5167 

11.8396 

214.6440 

1.1817 

10.359 

7.852 

0.702 

0.597 

2327000 

18.3004 

20.3429 

174.7838 

2.8067 

15.407 

0.248 

2.909 

17.016 

2:528000 

19.0542 

25.8463 

134.9236 

4.4316 

20.456 

6.835 

5.116 

6.114 

2329000 

19.8079 

4.4713 

95.0634 

6.0565 

25.505 

13.422 

7.323 

22.534 

2:i:»oooo 

20.5617 

9.9746 

55.2032 

7.6814 

1.290 

5.817 

9.530 

11.631 

2331000 

21.8156 

15.4780 

15.3130 

9.3063 

6.338 

12.405 

11.737 

0.729 

2332000 

22.0693 

20.9818 

322.1029 

0.8466 

11.887 

4.800 

13.944 

17.149 

2333000 

22.N23  1 

26.4847 

282.2  127 

2.4715 

16.435 

11.388 

1.897 

6.247 

2334000 

23.5768 

5.1097 

2  12.3S2.-. 

4.0965 

21.484 

3.785 

4.104 

22.666 

•885000 

24.3306 

10.6130 

202.5223 

5.7214 

26.532 

10.370 

6.311 

11.7(11 

2336000 

25.0844 

16.1M4 

162.6621 

7.8463 

2.318 

2.766 

8.518 

0.862 

3887000 

0.2164 

21.6197 

122.8018 

8.9713 

7.366 

9.355 

10.725 

17.282 

2888600 

0.9702 

0.2447 

82.9416 

0.5116 

12.415 

1.749 

13.983 

6.379 

•-J339000 

l.794t 

5.7481 

43.0814 

2.1365 

17.464 

8.336 

0.885 

22.799 

23  10000 

2^778 

11.2513 

3.2212 

3.7614 

22.512 

0.732 

3.092 

11.897 

2:iilOOO 

3.28W 

16.7547 

309.9811 

5.386U 

27.560 

7.818 

5.299 

0.995 

3849000 

8.98S4 

22.25SO    270.]  -JO!) 

7.0112 

&346 

13.906 

7.506 

17.414 

2:u:t<MM> 

4.7392 

O.NS30    230.2606 

s.(i:i(ii 

s.3!ii 

6.802 

9.713 

6.512 

2:!  11000 

5.  mo 

6.8Kti3 

190.4004 

0.1764 

13.443 

12.889 

11.920 

22.932 

9845000 

<;.2Ki7 

11.8MI7 

150.5102 

1.8013 

18.491 

5.285 

14.127 

12.029 

2846000 

7.0005 

17.3930     110.li7!l!l 

&4S68 

23.540 

11.893 

2.080 

1.127 

8847000 

7.7.r)i:< 

22>!Mi:i     70.8197 

r>.o:,i2 

28.588 

4.267 

4.287 

17.547 

3848000 

-.,()>!     1.5213     30.9594 

6.6761 

4.375 

10.855 

6.494 

6.645 

9848000 

!i.2<Jl!i     7.02  Hi 

8S7.7198 

8.3010 

!».  122 

8.350 

8.701 

23.064 

8SD0006 

lO.Oir,-;    12.5279 

297.8590 

9.9259 

14.471 

9.837 

10.908 

12.162 

24 


TABLE  Ha. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


Dayof    ARG.  IO.    11.      12.      13.     14.     15.     1C.     17. 

Juliun  Period. 

2350000 

10.0157 

d. 

12.5279 

297.8590 

cl. 

9.9259 

d. 

14.471 

d. 

9.837 

d. 

10.908 

12.162 

2351000 

10.7695 

18.0313 

257.9988 

1.4662 

19.519 

2.233 

13.115 

1.260 

2352000 

11.5233 

23.5346 

218.1385 

3.0911 

24.568 

8.820 

1.068 

17.679 

2353000 

12.2771 

2.1596 

178.2782 

4.7160 

0.353 

1.216 

3.275 

6.777 

2354000 

13.0309 

7.6629 

138.4180 

6.3410 

5.401 

7.805 

5.482 

23.197 

2355000 

13.7847 

13.1662 

98.5577 

7.9659 

10.450 

0.199 

7.690 

12.295 

2356000 

14.5385 

18.6695 

58.6974 

9.5908 

15.498 

6.786 

9.897 

1.393 

2357000 

15.2923 

24.1728 

18.8372 

1.1311 

20.547 

13.374 

12.104 

17.812 

2358000 

16.0461 

2.7978 

325.5970 

2.7561 

25.595 

5.769 

0.057 

6.910 

2359000 

16.7999 

8.3011 

285.7367 

4.3810 

1.381 

12.357 

2.264 

23.329 

2360000 

17.5537 

13.8044 

245.8764 

6.0059 

6.429 

4.752 

4.470 

12.427 

2361000 

18.3075 

19.3077 

206.0161 

7.6308 

11.478 

11.339 

6.677 

1.525 

2362000 

19.0613 

24.8110 

166.1558 

9.2557 

16.526 

3.734 

8.885 

17.945 

2363000 

19.8151 

3.4360 

126.2956 

0.7960 

21.575 

10.322 

11.091 

7043 

2364000 

20.5690 

8.9393 

86.4353 

2.4209 

26.623 

2.717 

13.299 

23.462 

2365000 

21.3228 

14.4426 

46.5750 

4.0458 

2.409 

9.304 

1.252 

12.560 

2366000 

22.0766 

19.9459 

6.7147 

5.6708 

7.457 

1.700 

3.459 

1.658 

2367000 

22.8305 

25.4492 

313.4745 

7.2957 

12.506 

8.287 

5.666 

18.077 

2368000 

23.5843 

4.0742 

273.6142 

8.9206 

17.554 

0.683 

7.873 

7.175 

2369000 

24.3381 

9.5774 

233.7539 

0.4609 

22.603 

7.270 

10.080 

23.595 

2370000 

25.0919 

15.0807 

193.8936 

2.0858 

27.651 

13.858 

12.287 

12.693 

2371000 

0.2240 

20.5840 

154.0333 

3.7107 

3.437 

6.253 

0.240 

1.790 

2372000 

0.9778 

26.0873 

114.1729 

5.3356 

8.485 

12.841 

2.447 

18.210 

2373000 

1.7317 

4.7123 

74.3126 

6.9605 

13.534 

5.236 

4.654 

7.308 

2374000 

2.4855 

10.2156 

34.4523 

8.5855 

18.582 

11.825 

6.861 

23.727 

2375000 

3.2393 

15.7188 

341.2121 

0.1258 

23.631 

4.219 

9.068 

12.825 

2376000 

3.9932 

21.2221 

301.3518 

1.7507 

28.679 

10.806 

11.275 

1.923 

2377000 

4.7470 

26.7254 

261.4914 

3.3757 

4.464 

3.201 

13.482 

18.343 

2378000 

5.5009 

5.3504 

221.6311 

5.0006 

9.513 

9.789 

1.435 

7.440 

2379000 

6.2547 

10.8536 

181.7708 

6.6255 

14.561 

2.184 

3.642 

23.860 

2380000 

7.0085 

16.3569 

141.9104 

8.2504 

19.610 

8.772 

5.849 

12.958 

2381000 

7.7623 

21.8602 

102.0501 

9.8753 

24.659 

1.167 

8.056 

2.056 

2382000 

8.5162 

0.4852 

62.1897 

1.4156 

0.444 

7.755 

10.263 

18.475 

2383000 

9.2700 

5.9884 

22.3294 

3.0405 

5.492 

0.150 

12.470 

7.573 

2384000 

10.0239 

11.4917 

329.0892 

4.6654 

10.541 

6.737 

0.423 

23.993 

2385000 

10.7777 

16.9950 

289.2288 

6.2903 

15.589 

13.325 

2.630 

13.091 

2386000 

11.5316 

22.4983 

249.3685 

7.9153 

20.638 

5.720 

4.837 

2.188 

2387000 

12.2855 

1.  1232 

209.5081 

9.5402 

25.686 

12.308 

7.044 

18.608 

2388000 

13.0393 

6.6265 

169.6477 

1.0805 

1.472 

4.703 

9.252 

7.706 

2389000 

13.7932 

12.1298 

129.7874 

2.7054 

6.520 

11.291 

11.458 

24.125 

2390000 

14.5470 

17.6330 

89.9270 

4.3303 

11.569 

3.686 

13.665 

13.223 

2391000 

15.3008 

23.1363 

50.0666 

5.9552 

16.617 

10.273 

1.618 

2.321 

2392000 

16.0547 

1.7612 

10.2063 

7.5801 

21.666 

2.669 

3.826 

18.741 

2393000 

16.8086 

7.2615 

316.9660 

9.2050 

26.714 

9.256 

6.033 

7.839 

2394000 

17.5624 

12.7677 

277.1056 

0.7453 

2.499 

1.652 

8.240 

24.258 

2395000 

18.3163 

18.2710 

237.2453 

2.3702 

7.548 

8.239 

10.447 

13.356 

2396000 

19.0702 

23.7743 

197.3849 

3.9952 

12.596 

0.635 

12.654 

2.454 

2397000 

19.8240 

2.3992 

157.5245 

5.6201 

17.645 

7.222 

0.607 

18.873 

239NOOO 

20.5779 

7.9025 

117.6641 

7.2450 

22.693 

13.810 

2.814 

7.971 

2399000 

21.3317 

13.4057 

77.8037 

8.8699 

27.742 

6.205 

5.021 

24.39  1 

2400000 

22.0856 

18.9090 

37.9133 

0.4102 

3.527 

12.792 

7.228 

13.489 

25 


TABLE 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


,^    A,.  ,,      ...         *,          ...          *,.          «.          «.         «.         3«. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

2300000 

7.892 

22.048 

4.908 

57.34 

18.074 

6.402 

6.714 

0.194 

5.702 

2301000 

0.786 

1.356 

2.696 

3.97 

22.104 

7.868 

10.976 

7.274 

4.214 

230-2000 

3.553 

4.966 

0.484 

82.27 

26.133 

9.333 

1.963 

4.987 

2.725 

2303000 

6.320 

8.576 

12.589 

28.90 

30.162 

10.799 

6.225 

2.699 

1.237 

2304000 

9.086 

12.185 

10.378 

107.20 

2.063 

12.264 

10.487 

0.412 

5.572 

2305000 

1.980 

15.795 

8.166 

53.83 

6.093 

13.730 

1.474 

7.491 

4.083 

2306000 

4.747 

19.405 

5.954 

0.46 

10.122 

15.196 

5.736 

5.204 

2.595 

2307000 

7.513 

23.014 

3.742 

78.76 

14.152 

16.661 

9.999 

2.916 

1.107 

2308000 

0.407 

2.322 

1.530 

25.39 

18.181 

18.127 

0.985 

0.6-29 

5.441 

2309000 

3.174 

5.932 

13.635 

103.70 

22.210 

19.592 

5.247 

7.708 

3.953 

2310000 

5.942 

9.542 

11.423 

50.33 

26.239 

21.058 

9.510 

5.422 

2.465 

2311000 

8.708 

13.151 

9.211 

128.63 

30.268 

22.524 

0.495 

3.134 

0.977 

2312000 

1.602 

16.761 

6.999 

75.26 

2.170 

0.215 

4.758 

0.847 

5.311 

2313000 

4.369 

20.371 

4.787 

21.89 

6.199 

1.680 

9.021 

7.926 

3.823 

8814000 

7.136 

23.981 

2.575 

100.19 

10.228 

3.146 

0.007 

5.639 

2.335 

2315000 

0.029 

3.288 

0.363 

46.82 

14.258 

4.612 

4.269 

3.352 

0.847 

2316000 

2.796 

6.898 

12.468 

125.12 

18.287 

6.077 

8.532 

1.064 

5.181 

2317000 

5.563 

10.508 

10.256 

71.75 

22.316 

7.543 

12.794 

8.144 

3.693 

2318000 

8.330 

14.117 

8.044 

18.38 

26.346 

9.008 

3.780 

5.857 

2.204 

2319000 

1.224 

17.727 

5.832 

96.69 

30.375 

10.474 

8.042 

3.569 

0.716 

2320000 

3.991 

21.337 

3.620 

43.32 

2.277 

11.940 

12.305 

1.282 

5.051 

2321000 

6.758 

0.644 

1.408 

121.62 

6.305 

13.406 

3.292 

8.361 

3.563 

8839000 

9.525 

4.254 

13.513 

68.25 

10.335 

14.871 

7.554 

6.074 

2.074 

8888000 

2.419 

7.864 

11.301 

14.88 

14.364 

16.337 

11.816 

3.786 

0.586 

2321000 

5.186 

11.474 

9.090 

93.18 

18.393 

17.802 

2.803 

1.499 

4.921 

2325000 

7.952 

15.084 

6.878 

39.81 

22.423 

19.268 

7.065 

8.579 

3.432 

2326000 

0.816 

18.693 

4.666 

118.11 

26.452 

20.734 

11.3-27 

6.291 

1.944 

23-27000 

3.613 

22.305 

2.454 

64.74 

30.481 

22.199 

8.314 

4.004 

6.279 

2328000 

6.380 

1.611 

0.242 

11.37 

2.382 

23.665 

6.576 

1.717 

4.790 

2329000 

9.146 

5.221 

12.347 

89.67 

6.412 

1.355 

10.838 

8.796 

3.302 

2330000 

2.041 

8.830 

10.135 

36.30 

10.441 

2.821 

1.825 

6.509 

1.814 

2331000 

4.808 

12.440 

7.923 

114.61 

14.471 

4.287 

6.088 

4.221 

0.326 

8889000 

7.574 

16.050 

5.711 

61.24 

18.500 

5.753 

10.350 

1.934 

4.660 

2333000 

0.468 

19.660 

3.499 

7.87 

22.529 

7.218 

1.336 

9.014 

3.172 

2334000 

3.235 

23.269 

1.287 

86.17 

26.558 

8.684 

5.599 

6.727 

1.684 

2335000 

Mm 

2.577 

13.392 

32.80 

30.588 

10.150 

9.861 

4.481 

0.1  96 

8889000 

8.769 

6.187 

11.180 

111.10 

2.489 

11.615 

0.847 

'2.151 

4.530 

8887000 

1.663 

9.797 

8.969 

57.73 

6.518 

13.081 

5.110 

9.231 

8.041 

8888000 

4.430 

13.407 

6.757 

4.36 

10.547 

14.546 

9.372 

6.944 

1.664 

233UOOO 

7.196 

17.016 

4.545 

82.66 

14.577 

16.012 

0.358 

4.656 

0.065 

23  10000 

0.090 

20.626 

2.333 

29.29 

18.606 

17.478 

4.621 

2.369 

4.400 

8841000 

2.857 

24.236 

0.121 

107.60 

22.636 

18.944 

8.884 

0.082 

2.912 

8848000 

5.624 

3.544 

12.226 

51.  "23 

26.665 

20.410 

13.146 

7.161 

1.423 

23  13000 

8.391 

7.154 

10.014 

0.86 

30.694 

21.875 

4.13-2 

4.874 

5.758 

23  11000 

1.285 

10.765 

7.803 

79.16 

2.5»5 

23.341 

8.395 

2.586 

4.270 

23  15000 

4.052 

14.375 

5.591 

25.79 

6.625 

1.032 

12.657 

0.299 

2.781 

8849000 

6.818 

17.!)N:.          3.379        104.09        10.654 

2.497 

3.644 

7.379 

1.293 

23  17000 

9.585 

21.595          1.167,         50.72 

14.683 

3.963 

7.906 

5.091 

5.628 

231  MM  id 

2.479 

0.900        13.272        129.03 

18.713 

5.428 

12.16H 

2.804 

4,189 

8849000 

5.2  It! 

4.510 

11.061          75.66 

22.742 

6.894 

3.155 

0.517 

2.651 

8850000 

8.013 

8.120 

8.848         22.29 

26.771 

8.360 

7.417 

7.596 

1.163 

1 

26 


TABLE  Ila. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


juiia^rioa  ARG.  18.   ID.    2O.     2L.     22.     23.     24.    23.    26. 

2350000 

8.013 

d. 

8.120 

d. 

8.848 

d. 

22.29 

d. 

26.771 

d 
8.360 

d 

7.417 

7.596 

ii. 
1.163 

2351000 

0.907 

11.730 

6.636 

100.59 

30.801 

9.826 

11.679 

5.309 

5.498 

2352000 

3.674 

15.340 

4.424 

47.22 

2.702 

11.292 

2.666 

3.021 

4.010 

2353000 

6.411 

18.950 

2.212 

125.52 

6.731 

12.757 

6.929 

0.734 

2.521 

2351000 

9.208 

22.560 

0.000 

72.15 

10.761 

14.223 

11.191 

7.814 

1.033 

2355000 

2.102 

1.868 

12.106 

18.78 

14.790 

15.689 

2.177 

5.526 

5.368 

2356000 

4.869 

5.478 

9.894 

97.09 

18.819 

17.154 

6.440 

3.239 

3.879 

2357000 

7.636 

9.088 

7.682 

43.72 

22.849 

18.620 

10.702 

0.951 

2.391 

2358000 

0.530 

12.697 

5.470 

122.02 

26.878 

20.  )85 

1.688 

8.031 

0.903 

2359000 

3.297 

16.307 

3.258 

68.65 

30.907 

21.551 

5.951 

5.744 

5.238 

2360000 

6.064 

19.917 

1.046 

15.28 

2.809 

23.017 

10.214 

3.457 

3.749 

2361000 

8.830 

23.527 

13.151 

93.58 

6.838 

0.708 

1.200 

1.169 

2.261 

2362000 

1.724 

2.835 

10.940 

40.20 

10.867 

2.174 

5.463 

8.250 

0.773 

2363000 

4.491 

6.445 

8.728 

118.51 

14.897 

3.639 

9.725 

5.961 

5.107 

2364000 

7.258 

10.055 

6.516 

65.14 

18.926 

5.105 

0.711 

3.674 

3.619 

2365000 

0.152 

13.665 

4.304 

11.78 

22.955 

6.571 

4.974 

1.387 

2.131 

2366000 

2.919 

17.274 

2.092 

90.08 

26.984 

8.036 

9.236 

8.466 

0.643 

2367000 

5.686 

20.884 

,  14.197 

36.71 

31.014 

9.502 

0.223 

6.179 

4.977 

2368000 

8.452 

0.192 

11.985 

115.01 

2.915 

10.967 

4.485 

3.892 

3.489 

2369000 

1.347 

3.803 

9.774 

61.64 

6.944 

12.433 

8.748 

1.604 

2.001 

2370000 

4.113 

7.412 

7.562 

8.27 

10.974 

13.899 

13.010 

8.684 

0.513 

2371000 

6.880 

11.022 

5.350 

86.57 

15.003 

15.365 

3.997 

6.396 

4.847 

2372000 

9.647 

14.632 

3.138 

33.20 

19.032 

16.831 

8.259 

4.109 

3.359 

2373000 

2.541 

18.242 

0.926 

111.51 

23.062 

18.296 

12.521 

1.822 

1.871 

2374000 

5.308 

21.852 

13.031 

58.14 

27.091 

19.762 

3.508 

8.901 

0.383 

2375000 

8.075 

1.160 

10.819 

4.77 

31.120 

21.228 

7.770 

6.614 

4.717 

2376000 

0.96:, 

4.770 

8.607 

83.07 

3.022 

22.693 

12.033 

4.327 

3.229 

2377000 

3.736 

8.379 

6.396 

29.70 

7.051 

0.384 

3.019 

2.039 

1.741 

2378000 

6.503 

11.989 

4.184 

108.00 

11.080 

1.849 

7.282 

9.119 

0253 

2379000 

9.270 

15.599 

1.972 

54.63 

15.110 

3.315 

11.544 

6.831 

4.587 

2380000 

2.164 

19.209 

14.077 

1.27 

19.139 

4.781 

2.531 

4.544 

3.099 

2381000 

4.931 

22.819 

11.865 

79.57 

23.168 

.  6.247 

6.793 

2.257 

1.611 

2382000 

7.697 

2.127 

9.653 

26.20 

27.198 

7.713 

11.055 

9.337 

0.123 

2383000 

0.591 

5.737 

7.442 

104.50 

31.227 

9.178 

2.042 

7.049 

4.457 

2384000 

3.358 

9.347 

5.230 

51.13 

3.128 

10.644 

6.305 

4.762 

2.969 

2385000 

6.125 

12.957 

3.018 

129.43 

7.158 

12.110 

10.568 

2.475 

1.481 

2386000 

8.892 

16.567 

0.806 

76.06 

11.187 

13.575 

1.555 

0.187 

5.815 

2387000 

1.786 

20.177 

12.911 

22.70 

15.216 

15.041 

5.816 

7.267 

4.327 

2388000 

4.553 

23.787 

10.699 

101.00 

19.245 

16.506 

10.078 

4.980 

2.839 

2389000 

7.319 

3.095 

8.487 

47.63 

23.275 

17.972 

1.065 

2.692 

1.351 

2390000 

0.214 

6.705 

6.276 

125.93 

27.301 

19.438 

5.327 

0.405 

5.685 

2391000 

2.981 

10.315 

4.064 

72.56 

31.331 

20.904 

9.590 

7.484 

4.197 

2392000 

5.748 

13.925 

1.852 

19.19 

3.235 

22.370 

0.576 

5.197 

2.709 

2393000 

8.514 

17.535 

13.957 

97.50 

7.264 

0.060 

4.839 

2.910 

1.221 

2394000 

1.408 

21.145 

11.745 

44.13 

11.294 

1.526 

9.102 

0.622 

5.555 

2395000 

4.175 

0.453 

9.534 

122.43 

15.323 

2.992 

0.088 

7.702 

4.067 

2396000 

6.942 

4.063    7.322 

69.06 

19.352 

4.457 

4:350 

5.415 

2.579 

2397000 

9.709 

7.673    5.110 

15.69 

23.381 

5.923 

8.613 

3.127 

1.090 

2898000 

2.603 

11.283    2.898 

93.99 

27.411 

7.388 

12.875 

0.840 

5.425 

2399000 

5.370 

14.893    0.686 

40.62 

31.410 

8.854 

3.862 

7.920 

3.937 

2100000 

8.137 

18.503    12.791 

118.93 

3.342 

10.320 

8.124 

5.633 

2.449 

27 


TABLE  II«. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2100000. 
For  Washington  Mean  Noon. 


JulKriod.      AK(J-   97'            28'               "'                 30<                  3I>                33t              33>               34<             35< 

2300000 

it 
15.42 

22.494 

32.009 

2.076 

d. 

14.53 

d. 

4.53 

23.94 

d. 
5.18 

8.26 

2301000 

8.19 

20.922 

16.336 

6.466 

3.78 

6.72 

17.97 

2.75 

2.69 

2302000 

0.96 

19.350 

0.662 

0.486 

8.34 

8.91 

12.00 

0.32 

21.06 

2303000 

19.56 

17.778 

17.753 

4.877 

12.91 

11.10 

6.04 

24.98 

15.48 

2301000 

12.33 

16.205 

2.080 

9.267 

2.15 

13.29 

0.07 

22.55 

9.91 

2305000 

5.10 

14.633 

19.171 

3.287 

6.71 

15.48 

26.55 

20.12 

4.34 

230GOOO 

23.70 

13.061 

3.497 

7.678 

11.28 

1.04 

20.58 

17.69 

22.70 

2307000 

16.47 

11.488 

20.588 

1.697 

0.52 

3.23 

14.61 

15.26 

17.13 

2308000 

9.24 

9.916 

4.915 

6.087 

5.09 

5.42 

8.65 

12.83 

11.56 

2309000 

2.01 

8.344 

22.006 

0.107 

9.65 

7.61 

2.68 

10.40 

5.98 

2310000 

20.61 

6.772 

6.332 

4.498 

14.22 

9.80 

29.16 

7.97 

0.41 

2311000 

13.38 

5.200 

23.424 

8.888 

3.46 

11.99 

23.19 

5.54 

18.78 

2312000 

6.15 

3.628 

7.750 

2.908 

8.02 

14.18 

17.22 

3.11 

13.21 

2313000 

24.75 

2.055 

24.841 

7.299 

12.59 

16.37 

11.25 

0.68 

7.63 

2314000 

17.52 

0.483 

9.168 

1.318 

1.83 

1.93 

5.29 

25.34 

2.06 

2315000 

10.29 

37.433 

26.259 

5.709 

6.40 

4.12 

31.77 

22.91 

20.43 

2316000 

3.06 

35.860 

10.585 

10.099 

10.96 

6.31 

25.78 

20.48 

14.85 

2317000 

21.66 

31.288 

27.676 

4.119 

0.21 

8.50 

19.81 

18.05 

9.28 

2318000 

14.43 

32.715 

12.003 

8.509 

4.77 

10.69 

13.84 

15.62 

3.70 

2319000 

7.20 

31.143 

29.094 

2.529 

9.33 

12.88 

7.88 

13.19 

22.07 

2320000 

25.80 

29.571 

13.421 

6.919 

13.90 

15.07 

1.91 

10.76 

l(i..r)() 

2321000 

18.57 

27.999 

30.511 

0.939 

3.14 

0.63 

28.41 

8.33 

10.93 

2322000 

11.34 

26.427 

14.838 

5.329 

7.71 

2.82 

22.44 

5.90 

5.35 

2323000 

4.11 

24.854 

31.929 

9.720 

12.28 

5.01 

16.47 

3.47 

23.72 

2324000 

22.71 

23.282 

16.256 

3.740 

1.52 

7.20 

10.51 

1.04 

18.15 

2325000 

15.48 

21.710 

0.582 

8.130 

6.08 

9.39 

4.54 

25.70 

12.57 

232(5000 

8.25 

20.137 

17.673 

2.149 

10.64 

11.58 

31.02 

23.27 

7.00 

2327000 

1.02 

18.565 

2.000 

6.540 

15.21 

13.77 

25.05 

20.84 

1.42 

2:^8000 

19.62 

16.992 

19.091 

0.560 

4.46 

15.96 

19.08 

18.41 

19.79 

2329000 

12.39 

15.420 

3.418 

4.951 

9.02 

1.52 

13.12 

15.98 

11.22 

2330000 

5.16 

13.848 

20.509 

9.341 

13.59 

3.72 

7.15 

13.55 

N.I;.-, 

a.-wooo 

23.76 

12.276 

4.835 

3.361 

2.83 

5.91 

1.18 

11.12 

3.07 

2:t:<2000 

16.53 

10.704 

21.926 

7.751 

7.39 

8.10 

27.66 

8.69 

21.lt 

2333000 

9.30 

9.132 

6.253 

1.771 

11.95 

10.29 

21.69 

6.26 

15.87 

2334000 

27.90 

7.559 

23.344 

6.161 

1.20 

12.48 

15.72 

3.83 

10.29 

•BS500Q 

20.67 

5.987 

7.671 

0.181 

5.77 

14.67 

9.76 

1.40 

4.72 

233GOOO 

13.44 

4.415 

24.763 

4.572 

10.33 

0.23 

3.79 

26.06 

23.08 

2337000 

6.21 

2.842 

9.088 

8.962 

14.90 

2.42 

30.27 

23.63 

17.51 

2338000 

24.80 

1.270 

26.179 

2.982 

4.14 

4.61 

•J  1.30 

21.20 

11.91 

2339000 

17.58 

38.220 

10.506 

7.372 

8.70 

6.80 

18.33 

18.77 

6.37 

2310000 

10.35 

36.648 

27.597 

1.392 

13.27 

8.99 

12.37 

16.34 

0.79 

•j:illOOO 

3.12 

35.076 

11.924 

5.782 

2.51 

11.18 

6.10 

13.91 

19.16 

gttaooo 

21.71 

33.504 

29.015 

10.173 

7.08 

13.37 

0,13 

11.48 

18.59 

BM80M 

14.49 

31.931 

13.312 

4.193 

11.64 

15.56 

26.91 

9.05 

8.01 

2:1  1  1000 

07.26 

30.359 

30.433 

8.583 

0.89 

1.12 

20.94 

6.62 

2.44 

•j:tt:.o»i) 

0.02 

28.787 

14.760 

2.603 

5.45 

331 

14.98 

4.19 

20.81 

•j:tiiiiio() 

18.62 

27.214 

31.850 

6.993 

10.01 

.r)..r)() 

9.01 

1.76 

15.24 

23  17000 

11.1(1 

25.612 

16.178 

1.013 

14.58 

7.69 

3.01 

26.42 

9.66 

•J:UM)OO 

4.17 

210li9 

0.504 

5.403 

BJBt 

9.88 

29.52 

23.99 

4.09 

23i!>ooo 

22  76 

22.  1!I7 

17.595 

9.794 

8.:i<» 

12.07 

23.55 

21.56 

22.45 

•j:t:»oooo 

15.54 

8OM0 

1.922 

3.814 

12.95 

14.26 

17.59 

19.13 

16.88 

TABLE  Ha. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 

For  Washington  Mcau  Noon. 


JulKiod.   AttG-  27'     3S'      "'       30'       3I<      3a<      33«      31'      35' 

2350000 

d. 

15.54 

20.925 

d. 

1.922 

d. 

3.814 

d 

12.95 

14.26 

d. 

17.59 

19.13 

1688 

2351000 

8.31 

19.353 

19.013 

8.204 

2.20 

16.45 

11.62 

16.70 

11.31 

2352000 

1.08 

17.780 

3.340 

2.224 

6.76 

2.01 

5.65 

14.27 

5.73 

2353000 

19.67 

16.208 

20.431 

6.614 

11.32 

4.20 

32.13 

11.84 

24.10 

2354000 

12.45 

14.635 

4.757 

0.634 

0.57 

6.39 

26.16 

9.41 

18.53 

2355000 

5.23 

13.063 

21.848 

5.024 

5.13 

8.58 

20.20 

6.98 

12.96 

2356000 

23.81 

11.491 

6.175 

9.415 

9.70 

10.77 

14.23 

4.55 

7.38 

2357000 

16.58 

9.918 

23.266 

3.435 

14.26 

12.96 

8.26 

2.12 

1.81 

2358000 

9.36 

8.346 

7.593 

7.825 

3.51 

15.15 

2.29 

26.78 

20.18 

2359000 

2.13 

6.773 

24.684 

1.845 

8.07 

0.71 

28.77 

24.35 

14.60 

2360000 

20.72 

5.201 

9.011 

6.235 

12.64 

2.90 

22.81 

21.92 

9.03 

2361000 

13.50 

3.629 

26.102 

0.255 

1.88 

5.09 

16.84 

19.49 

3.46 

2362000 

6.27 

2.057 

10.429 

4.645 

6.44 

7.28 

10.87 

17.06 

21.82 

2363000 

24.86 

0.484 

27.520 

9.036 

11.01 

9.47 

4.90 

14.63 

16.25 

2364000 

17.63 

37.434 

11.846 

3.056 

0.25 

11.66 

31.38 

12.20 

10.68 

2365000 

10.41 

35.862 

28.938 

7.446 

4.82 

13.85 

25.42 

9.77 

5.10 

2366000 

3.18 

34.289 

13.265 

1.466 

9.38 

16.04 

19.45 

7.34 

23.47 

2367000 

21.77 

32.717 

30.355 

5.856 

13.95 

1.60 

13.48 

4.91 

17.90 

2368000 

14.54 

31.144 

14.682 

10.247 

3.19 

3.79 

7.51 

2.48 

12.32 

2369000 

7.32 

29.572 

31.773 

4.266 

7.75 

5.99 

1.54 

0.05 

6.75 

2370000 

0.08 

28.000 

16.100 

8.657 

12.32 

8.18 

28.03 

24.71 

1.18 

2371000 

18.68 

26.428 

0.427 

2.676 

1.56 

10.37 

22.06 

22.28 

19.55 

2372000 

11.46 

24.856 

17.518 

7.067 

6.13 

12.56 

16.09 

19.85 

13.97 

2373000 

4.23 

23.283 

1.845 

1.087 

10.69 

14.75 

10.12 

17.42 

8.40 

2374000 

22.82 

21.711 

18.936 

5.477 

15.26 

0.31 

4.15 

14.99 

2.82 

2375000 

15.59 

20.139 

3.263 

9.868 

4.50 

2.50 

30.64 

12.56 

21.19 

2376000 

8.37 

18.566 

20.354 

3.887 

9.06 

4.69 

24.67 

10.13 

15.62 

2377000 

1.14 

16.994 

4.682 

8.278 

13.63 

6.88 

18.70 

7.70 

10.04 

2378000 

19.73 

15.421 

21.772 

2.298 

2.87 

9.07 

12.73 

5.27 

4.47 

2379000 

12.50 

13.849 

6.099 

6.688 

7.44 

11.26 

6.76 

2.84 

22.84 

2380000 

5.28 

12.277 

23.190 

0.708 

12.00 

13.45 

0.80 

0.41 

17.27 

2381000 

23.87 

10.705 

7.516 

5.098 

1.25 

15.64 

27.28 

25.07 

11.69 

2382000 

16.64 

9.132 

24.608 

9.489 

5.81 

1.20 

21.31 

22.64 

6.12 

2383000 

9.42 

7.560 

8.934 

3.508 

10.37 

3.39 

15.34 

20.21 

0.54 

2384000 

2.19 

5.987 

26.026 

7.899 

14.94 

5.58 

9.37 

17.78 

18.91 

2385000 

20.78 

4.415 

10.352 

1.918 

4.19 

7.77 

3.41 

15.35 

13.34 

2386000 

13.55 

2.843 

27.444 

6.309 

8.75 

9.96 

29.89 

12.92 

7.77 

2387000 

6.33 

1.270 

11.770 

0.329 

13.31 

12.15 

23.92 

10.49 

2.19 

2388000 

24.92 

38.220 

28.861 

4.719 

2.56 

14.34 

17.95 

8.06 

20.56 

2389000 

17.69 

36.647 

13.188 

9.110 

7.12 

16.53 

11.98 

5.63 

14.99 

2390000 

10.47 

35.075 

30.279 

3.129 

11.68 

2.09 

6.02 

3.20 

9.41 

2391000 

3.24 

33.503 

14.606 

7.520 

0.93 

4.28 

0.05 

0.77 

3.84 

2392000 

21.83 

31.931 

31.697 

1.539 

5.49 

6.47 

26.53 

25.43 

22.21 

2393000 

14.61 

30.358 

16024 

5.930 

10.06 

8.66 

20.56 

23.00 

16.63 

2394000 

7.38 

28.786 

0.351 

10.321 

14.62 

10.85 

14.59 

20.57 

11.06 

2395000 

0.14 

27.214 

17.442 

4.340 

3.87 

13.04 

8.63 

18.14 

5.49 

2396000 

18.74 

25.641 

1.769 

8.731 

8.43 

15.23 

2.66 

15.71 

23.85 

2397000 

11.53 

24.069 

18.860 

2.750 

13.00 

0.79 

29.14 

13.28 

18.28 

2398000 

4.29 

22.496 

3.187 

7.141 

2.24 

2.98 

23.17 

10.85 

12.71 

2399000 

22.88 

20.924 

20.278 

1.161 

6.80 

5.17 

17.20 

8.42 

7.13 

2400000 

15.66 

19.352 

4.605 

5.551 

11.37 

7.36 

11.24 

5.99 

1.56 

29 


TABLE  Ha. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 

For  Washington  Mean  Noon. 


r,-n*Tp°r-^  ARG.  36.   37.    38.    39.    4O.     41.    49.    43.    44. 

Julian  Period. 

2300000 

d. 

2.  1  1 

d. 

27.6 

18.63 

d. 

10.6 

d. 

3.86 

d. 

5.90 

d. 

1.84 

d. 

8.97 

d. 

7.8 

2301000 

0.96 

11.8 

4.04 

10.8 

5.14 

2.43 

7.34 

5.86 

5.3 

2302000 

13.21 

33.5 

8.23 

11.0 

6.44 

16.88 

2.70 

2.74 

2.7 

2303000 

11.74 

17.6 

12.42 

11.2 

7.73 

13.41 

8.20 

14.18 

0.1 

230  1000 

10.26 

1.8 

16.62 

11.5 

9.03 

9.94 

3.56 

11.06 

20.3 

2305000 

8.79 

23.5 

2.02 

11.7 

10.32 

6.47 

9.06 

7.95 

17.7 

2306000 

7.32 

7.6 

6.22 

11.9 

11.61 

3.01 

4.43 

4.83 

15.1 

2307000 

5.84 

29.4 

10.41 

12.2 

12.91 

17.45 

9.92 

1.72 

12.5 

2808000 

4.37 

13.5 

14.61 

12.4 

14.20 

13.98 

5.29 

13.15 

9.9 

2309000 

2.90 

35.2 

0.01 

12.6 

15.49 

10.51 

0.64 

10.04 

7.3 

2310000 

1.42 

19.3 

4.21 

12.8 

16.78 

7.05 

6.15 

6.92 

4.7 

2311000 

13.67 

3.4 

8.40 

13.0 

18.07 

3.58 

1.51 

3.81 

2.1 

2312000 

12.20 

25.2 

12.60 

13.2 

0.52 

0.11 

7.00 

0.70 

22.4 

2313000 

10.72 

9.3 

16.79 

13.4 

1.82 

14.55 

2.37 

12.13 

19.8 

2314000 

9.25 

31.0 

2.19 

13.7 

3.11 

11.08 

7.87 

9.01 

17.2 

2315000 

7.78 

15.2 

6.39 

13.9 

4.40 

7.61 

3.23 

5.90 

11.6 

2316000 

6.30 

36.9 

10.58 

14.1 

5.70 

4.14 

8.73 

2.79 

12.0 

2317000 

4.83 

21.0 

14.78 

14.4 

6.99 

0.67 

4.10 

14.23 

9.4 

2318000 

3.36 

5.1 

0.18 

14.6 

8.29 

15.12 

9.59 

11.10 

6.8 

2319000 

1.88 

26.9 

4.38 

14.8 

9.58 

11.65 

4.95 

7.99 

4.2 

2320000 

0.41 

11.0 

8.57 

15.0 

10.87 

8.19 

0.31 

4.88 

1.6 

2321000 

12.66 

32.7 

12.77 

15.2 

12.16 

4.72 

5.82 

1.77 

21.8 

2322000 

11.18 

16.8 

16.96 

15.4 

13.15 

1.25 

1.17 

13.19 

19.2 

2323000 

9.71 

1.0 

2.37 

15.6 

14.74 

15.70 

6.68    10.08 

16.6 

2324000 

8.23 

22.7 

6.56 

15.9 

16.04 

12.22 

2.04 

6.97 

14.1 

2325000 

6.76 

6.8 

10.76 

16.1 

17.33 

8.75 

7.53 

3.86 

11.5 

2326000 

5.29 

28.6 

14.95 

16.3 

18.62 

5.28 

2.90 

0.75 

8.9 

2327000 

3.82 

12.7 

0.35 

16.6 

1.08 

1.81 

8.39 

12.17 

6.3 

2328000 

2.34 

34.4 

4.55 

16.8 

2.37 

16.26 

3.76 

9.06 

3.7 

2329000 

0.87 

18.5 

8.75 

17.0 

3.66 

12.79 

9.26 

5.95 

1.1 

2330000 

13.12 

2.6 

12.94 

17.2 

4.95 

9.33 

4.62 

2.84 

21.3 

2331000 

11.64 

21.1 

17.13 

17.4 

6.24 

5.H6 

10.12 

14.27 

18.7 

2332000 

10.17 

8.5 

2.54 

17.6 

7.53 

2.39 

5.48 

11.15 

16.1 

2333000 

8.69 

30.2 

6.73 

17.8 

N.N2 

16.84 

0.84 

K.OI 

18.5 

2334000 

7.22 

14.4 

10.93 

18.0 

10.12 

13.37 

6.35 

4.93 

10.9 

2335000 

5.75 

36.1 

15.12 

18.3 

11.41 

'  9.90 

1.70 

1.82 

8.3 

2336000 

4.28 

20.2 

0.53 

18.5 

12.70 

6.43 

7.20 

13.21 

6.8 

2337000 

2.80 

4.3 

4.72 

18.7 

14.00 

2.96 

2.56 

10.13 

8.2 

2888000 

1.33 

26.1 

8.91 

18.9 

15.29 

17.41 

8.06 

7.02 

0.6 

2839000 

13.58 

10.2 

13.12 

19.1 

16.58 

13.94 

3.  13 

8.91 

20.8 

23  10000 

12.10 

31.9 

17.31 

19.8 

17.87 

10.47 

8.94 

0.79 

18.2 

2841000 

10.63 

16.0 

2.7  1 

19.5 

0  32 

7.00 

4.29 

12.22 

15.6 

2842000 

9.15 

0.2 

6.90 

19.7 

1.61 

3.53 

9.79 

9.11 

13.0 

23  13000 

7.68 

21.9 

11.10 

19.9 

2.91 

0.0(5 

5.15 

(i.OO 

10.4 

23  1  1000 

6.21 

6.0 

15.29 

20.2 

4.20 

14.51 

0.51 

2.88 

7.8 

2845000 

4.73 

27.8 

0.70 

20.4 

5.1!) 

11.04 

6.01 

14.32 

5.2 

2846000 

3.26 

1  1  .9 

4.89 

20.6 

6.78 

7.57 

1.37 

11.20 

2.6 

2847000 

1.79 

88.6 

9.09 

20.9 

8.07 

4.10 

6.81 

8.09 

0.0 

2348000 

0.31 

17.7 

13.2s 

21.1 

9.87 

0.61 

2.23 

4.97 

20.3 

2349000 

12.56 

1.!) 

17.48 

21.3 

10.66 

15.0$ 

7.73 

1.86 

17.7 

2880000 

11.09 

23.6 

2.88 

21.5 

11.95 

11.61 

3.09 

13.29 

J5.1 

30 


TABLE  II«. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


junked.  AR(i-  3G-   37-    38-    39-    40-     41«    42-    43.    44. 

2350000 

11.09 

d. 

23.6 

d. 

2.88 

d. 

21.5 

d. 

11.95 

d. 

11.61 

d. 

3.09 

d. 

13.29 

d. 

15.1 

2351000 

9.61 

7.7 

7.07 

21.7 

13.24 

8.14 

8.59 

10.18 

12.5 

2352000 

8.14 

29.4 

11.27 

21.9 

14.53 

4.67 

3.96 

7.06 

9.9 

2353000 

6.67 

13.6 

15.46 

22.1 

15.83 

1.20 

9.45 

3.95 

7.3 

2354000 

5.19 

35.3 

0.87 

22.4 

17.12 

15.65 

4.82 

0.84 

4.7 

2355000 

3.72 

19.4 

5.06 

22.6 

18.41 

12.17 

0.18 

12.27 

2.1 

2356000 

2.25 

3.5 

9.26 

22.8 

0.86 

8.70 

5.68 

9.15 

22.3 

2357000 

0.77 

25.3 

13.45 

23.1 

2.15 

5.23 

1.04 

6.04 

19.7 

2358000 

13.02 

9.4 

17.65 

23.3 

3.45 

1.76 

6.54 

2.93 

17.1 

2359000 

11.55 

31.1 

3.05 

23.5 

4.74 

16.21 

1.90 

14.37 

14.5 

2360000 

10.07 

15.2 

7.25 

23.7 

6.03 

12.74 

7.40 

11.24 

12.0 

2361000 

8.60 

37.0 

11.44 

23.9 

7.32 

9.27 

2.76 

8.13 

9.4 

2362000 

7.13 

21.1 

15.64 

24.1 

8.61 

5.80 

8.26 

5.02 

6.8 

2363000 

5.65 

5.2 

1.04 

24.3 

9.91 

2.33 

3.62 

1.91 

4.2 

2364000 

4.18 

27.0 

5.23 

24.5 

11.20 

16.78 

9.12 

13.34 

1.6 

2365000 

2.71 

11.1 

9.43 

24.8 

12.49 

13.31 

4.49 

10.22 

21.8 

2366000 

1.24 

32.8 

13.62 

25.0 

13.78 

9.84 

9.98 

7.11 

19.2 

2367000 

13.48 

17.0 

17.82 

25.2 

15.07 

6.37 

5.35 

4.00 

16.6 

2368000 

12.01 

1.1 

3.22 

25.4 

16.37 

2.90 

0.70 

0.89 

14.0 

2369000 

10.53 

22.8 

7.42 

25.6 

17.66 

17.35 

6.21 

12.31 

11.4 

2370000 

9.06 

6.9 

11.61 

25.8 

0.11 

13.88 

1.57 

9.20 

8.8 

2371000 

7.59 

28.7 

15.81 

26.0 

1.40 

10.41 

7.06 

6.09 

6.2 

2372000 

6.11 

12.8 

1.21 

26.2 

2.69 

6.94 

2.43 

2.98 

3.7 

2373000 

4.64 

34.5 

5.41 

26.4 

3.99 

3.47 

7.93 

14.41 

1.1 

2374000 

3.17 

18.6 

9.60 

26.7 

5.28 

0.00 

3.29 

11.29 

21.3 

2375000 

1.69 

2.8 

13.80 

26.9 

6.57 

14.45 

8.79 

8.18 

18.7 

2376000 

0.22 

24.5 

17.99 

27.1 

7.86 

10.98 

4.15 

5.07 

16.1 

2377000 

12.47 

8.6 

3.40 

27.4 

9.15 

7.51 

9.65 

1.96 

13.5 

2378000 

11.00 

30.4 

7.59 

1  27.6 

10.45 

4.04 

5.01 

13.38 

10.9 

2379000 

9.52 

14.5 

11.78 

27.8 

11.74 

0.57 

0.37 

10.27 

8.3 

2380000 

8.05 

36.2 

15.98 

28.0 

13.03 

15.02 

5.88 

7.16 

5.7 

2381000 

6.57 

20.3 

1.38 

28.2 

14.32 

11.55 

1.23 

4.05 

3.1 

2382000 

5.10 

4.4 

5.58 

28.4 

15.61 

8.08 

6.73 

0.94 

0.5 

2383000 

3.63 

26.2 

9.77 

28.6 

16.91 

4.61 

2.10 

12.36 

20.8 

2384000 

2.15 

10.3 

13.97 

28.9 

18.20 

1.14 

7.59 

9.25 

18.2 

2385000 

0.68 

32.0 

18.16 

29.1 

0.65 

15.59 

2.96 

6.14 

15.6 

2386000 

12.93 

16.2 

3.57 

29.3 

1.94 

12.12 

8.46 

3.03 

13.0 

2387000 

11.46 

0.3 

7.76 

29.6 

3.23 

8.65 

3.82 

14.46 

10.4 

2388000 

9.98 

22.0 

11.95 

29.8 

4.53 

5.18 

9.32 

11.34 

7.8 

2389000 

8.51 

6.1 

16.15 

30.0 

5.82 

1.71 

4.68 

8.23 

5.2 

2390000 

7.03 

27.9 

1.56 

30.2 

7.11 

16.16 

0.04 

5.12 

2.6 

2391000 

5.56 

12.0 

5.75 

30.4 

8.40 

12.69 

5.55 

2.00 

0.0 

2392000 

4.09 

33.7 

9.95 

30.6 

9.69 

9.22 

0.90 

13.43 

20.2 

2393000 

2.62 

17.8 

14.14 

30.8 

10.99 

5.75 

6.41 

10.32 

17.6 

2394000 

1.14 

2.0 

18.34 

31.0 

12.28 

2.28 

1.76 

7.21 

15.0 

2395000 

13.39 

23.7 

3.74 

31.3 

13.57 

16.73 

7.26 

4.09 

12.4 

2396000 

11.92 

7.8 

7.93 

31.5 

14.86 

13.25 

2.63 

0.98 

9.9 

2397000 

10.44 

29.6 

12.13 

31.7 

16.15 

9.79 

8.12 

12.41 

7.3 

2398000 

8.97 

13.7 

16.32 

31.9 

17.45 

6.32 

3.49 

9.30 

4.7 

2399000 

7.49 

35.4 

1.73 

32.1 

18.74 

2.85 

8.99 

6.18 

2.1 

2400000 

6.02 

19.5 

5.92 

32.3 

1.19 

17.30 

4.35 

3.07 

22.3 

31 


TABLE  IIfl. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 

For  Washington  Mean  Noon. 


,^A,,«.  4..    «.    «.    «,.   «,.    «.     S8.     *, 

d. 

d. 

d. 

d 

d. 

d. 

d. 

ii. 

d. 

2300000 

3.87 

23.2 

12.49 

22.74 

1.5 

15.1 

8.53 

0.73 

94.82 

2301000 

6.77J    7.7 

9.08 

4.98 

6.0 

13.7 

6.60 

Hi.  70 

36.96 

2302000 

9.661    21.2 

5.67 

17.15 

10.4 

12.2 

4.67 

7.45 

96.65 

2303000 

12.56|     5.8 

2.25 

29.32 

2.2 

10.8 

2.74 

23.42 

38.79 

2301000 

15.46 

19.3 

12.97 

11.56 

6.7 

9.3 

0.81 

14.17 

98.48 

2305000 

1.46 

3.9 

9.56 

23.73 

11.3 

7.9 

17.09 

4.92 

40.62 

2306000 

4.36 

17.4 

6.15 

5.97 

3.0 

6.5 

15.16 

20.89 

100.20 

2307000 

7.25 

2.0 

2.74 

18.14 

7.5 

5.0 

13.2: 

11.64 

42.45 

8806000 

10.15 

15.5 

13.46 

0.38 

12.1 

3.6 

11.30 

2.38 

102.13 

2309000 

13.05 

0.0 

10.05 

12.55 

3.7 

2.1 

9.37 

18.36 

44.28 

2310000 

15.95 

13.6 

6.64 

24.73 

8.3 

0.7 

7.44 

9.10 

103.96 

2311000 

1.95 

27.1 

3.23 

6.96 

0.0 

24.3 

5.51 

25.08 

46.11 

2312000 

4.84 

11.7 

13.95 

19.14 

4.5 

22.9 

3.58 

15.83 

105.79 

2313000 

7.74 

25.2 

10.54 

1.37 

9.0 

21.4 

1.65 

6.57 

47.94 

2314000 

10.64 

9.8 

7.13 

13.55 

0.8 

20.0 

17.93 

22.55 

107.62 

2315000 

13.51 

23.3 

3.72 

25.72 

5.3 

18.5 

15.99 

13.29 

49.77 

2316000 

16.44 

7.8 

031 

7.96 

9.8 

17.1 

14.07 

4.04 

109.45 

2317000 

2.43 

21.4 

11.03 

20.13 

1.5 

15.7 

12.14 

20.01 

51.60 

2318000 

5.33 

5.9 

7.62 

2.37 

6.0 

14.2 

10.21 

10.76 

111.28 

2319000 

8.23 

19.5 

4.21 

14.54 

10.5 

12.8 

8.28 

1.50 

53.42 

2320000 

11.13 

4.0 

0.79 

26.71 

2.3 

11.4 

6.35 

17.48 

113.11 

2321000 

14.03 

175 

11.51 

8.95 

6.8 

10.0 

4.42 

8.23 

58.26 

3322000 

0.02 

2.1 

8.10 

21.12 

11.3 

8.5 

2.49 

24.20 

114.94 

8323000 

2.92 

15.6 

4.69 

3.36 

3.1 

7.1 

0.56 

14.95 

57.09 

2321000 

5.82 

0.2 

1.28 

15.53 

7.6 

5.6 

16.84 

5.69 

116.77 

2325000 

8.72 

13.7 

1200 

27.70 

12.1 

4.2 

14.91 

21.67 

58.92 

8336000 

11.62 

27.3 

8.59 

9.94 

3.8 

2.8 

12.98 

12.41 

1.06 

•J.-U7000 

14.51 

II  - 

5.18 

22.11 

8.3 

1.3 

11.05 

3.16 

60.74 

2:WSOOO 

0.51 

25.3 

1.77 

4.35 

0.1 

24.9 

9.12 

19.14 

2.89 

2329000 

3.41 

9.9 

12.48 

16.52 

4.6 

23.4 

7.19 

9.88 

62.57 

2330000 

6.31 

23.4 

9.08 

28.70 

9.1 

22.0 

5.26 

0.63 

4.72 

8331000 

9.21 

8.0 

5.66 

10.94 

0.8 

20.6 

3.33 

16.60 

84.41 

8332000 

12.10 

21.5 

2.25 

23.11 

5.3 

19.1 

1.40 

7.35 

6.55 

8333000 

15.00 

6.1 

'  12.97 

5.35 

9.9 

17.7 

17.68 

23.32 

88.23 

8334000 

0.99 

19.6 

9.56 

17.52 

1.6 

16.2 

15.75 

14.07 

8.38 

2335000 

3.90 

4.1 

6.15 

29.69 

6.1 

14.8 

1382 

4.81 

68.06 

2336000 

6.80 

177 

2.74 

11.93 

10.5 

13.4 

11.89 

20.79 

10.21 

•j:i:)7000 

9.69 

2.2 

13.46 

24.10 

2.4 

11.9 

9.96 

11.54 

69.89 

2338000 

12.59 

15.8 

10.05 

6.34 

6.9 

10.5 

8.03 

2.28 

18,04 

8339000 

15.49 

0.3 

6.64 

18.51 

11.4 

9.0 

6.10 

18.26 

71.72 

8940000 

1.49 

18.8 

3.23 

0.75 

3.1 

7.6 

4.17 

9.00 

13.87 

8311000 

4.38 

27.4 

18.98 

18.99 

7.6 

6.2 

2.2  1 

24.98 

73.55 

ji  KKI 

7.98 

11.9 

10.51 

86.09 

12.2 

4.8 

0.31 

15.72 

15.70 

8343COO 

10.18 

25.5 

7.12 

7.88 

3.9 

3.3 

16.59 

(i.  17 

76.38 

8344000 

13.08 

10.0 

3.71 

19.50 

8.4 

1.9 

14.67 

22.44 

17.53 

8845000 

15.98 

23.6 

0.30 

1.74 

0.1 

0.4 

12.73 

13.19 

77.21 

8346000 

1.97 

S.I 

11.02 

13.91 

4.6 

24.0 

10.80 

:i.!»i 

l!).:ifi 

8347000 

usn 

21.6 

7.61 

26.08 

9.2 

22.6 

S.N7 

19.91 

78.04 

•J.'ilM  

7.77 

6.2 

4.20 

8.89 

0.9 

21.1 

6.94 

10.66 

21.19 

2349000 

10.  67 

19.7 

0.79 

20.49 

5.4 

19.7 

5.01 

1.40     SO.N7 

2850000 

l:{.:>7     I  .:: 

11.51 

2.73 

9.9 

18.3 

3.0* 

17.:fs    2:!.()2 

32 


TABLE  Ha. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 

For  Washington  Mean  Noon. 


Ir^»f.  ,  ARO.  45.  46.    47.    48.    49.   5O.    51.     53.     53. 

Julian  Period. 

2350000 

d. 

13.57 

d. 

4.3 

d 
11.51 

d 

2.73 

d. 

9.9 

d. 

18.3 

d. 

3.08 

d. 

17.38 

d. 

23.02 

2351000 

16.46 

17.8 

8.10 

14.91 

1.7 

16.9 

1.15 

8.12 

82.70 

2352000 

2.46 

2.4 

4.69 

27.08 

6.2 

15.4 

17.43 

24.10 

24.85 

2353000 

5.36 

15.9 

1.28 

9.32 

10.6 

14.0 

15.50 

14.84 

84.53 

2351000 

8.26 

0.4 

11.99 

21.49 

2.4 

12.5 

13.58 

5.59 

26.68 

2355000 

11.16 

14.0 

8.58 

3.73 

6.9 

11.1 

11.64 

21.57 

86.36 

2356000 

1405 

27.5 

5.17 

15.90 

11.5 

9.7 

9.71 

12.31 

28.50 

2357000 

0.05 

120 

1.76 

28.07 

3.2 

8.2 

7.78 

3.06 

88.19 

2358000 

2.95 

25.6 

12.48 

10.31 

7.7 

6.8 

5.85 

19.03 

30.33 

2359000 

5.85 

10.1 

9.07 

22.48 

12.2 

5.3 

3.92 

9.78 

90.02 

2360000 

8.75 

23.7 

5.66 

4.72 

4.0 

3.9 

1.99 

0.55 

32.17 

2361000 

11.64 

8.2 

2.25 

16.89 

8.5 

2.5 

0.06 

16.50 

91.85 

2362000 

14.54 

21.8 

12.97 

29.06 

0.2 

1.1 

16.34 

7.24 

33.99 

2363000 

0.54 

6.3 

9.56 

11.30 

4.7 

24.6 

14.42 

23.22 

93.68 

2364000 

3.44 

19.9 

6.15 

23.47 

9.2 

23.2 

12.49 

13.97 

35.82 

2365000 

6.34 

4.5 

2.74 

5.71 

1.0 

21.7 

10.56 

4.71 

95.51 

2366000 

9.23 

17.9 

13.46 

17.88 

5.5 

20.3 

8.63 

20.69 

37.65 

2367000 

12.13 

2.5 

10.05 

0.12 

9.9 

18.9 

6.70 

11.43 

97.34 

2368000 

15.03 

16.0 

6.64 

12.29 

1.7 

17.4 

4.77 

2.18 

39.48 

2369000 

1.03 

0.6 

3.22 

24.47 

6.2 

16.0 

2.84 

18.16 

99.17 

2370000 

3.92 

14.1 

13.94 

6.71 

10.7 

14.6 

0.91 

8.90 

41.31 

2371000 

6.82 

27.7 

10.53 

18.88 

2.5 

13.2 

17.19 

24.87 

101.00 

2372000 

9.72 

12.2 

7.12 

1.12 

7.0 

11.7 

15.26 

15.62 

43.14 

2373000 

12.62 

•25.7 

3.71 

13.29 

11.6 

10.3 

13.34 

6.37 

102.83 

2374000 

15.52 

10.3 

0.30 

25.46 

3.3 

8.8 

11.41 

22.34 

44.97 

2375000 

1.51 

23.8 

11.02 

7.70 

7.8 

7.4 

9.47 

13.09 

104.66 

2376000 

4.41 

8.4 

7.61 

19.87 

12.3 

6.0 

7.54 

3.83 

46.80 

2377000 

7.31 

21.9 

4.20 

2.11 

4.0 

4.5 

5.61 

19.81 

106.49 

2378000 

10.21 

6.5 

0.79 

14.28 

8.5 

3.1 

3.68 

10.55 

48.63 

2379000 

13.11 

20.0 

11.51 

26.45 

0.3 

1.6 

1.75 

1.30 

108.32 

2380000 

16.00 

4.5 

8.10 

8.69 

4.8 

0.2 

18.03 

17.28 

50.46 

2381000 

2.00 

18.1 

4.68 

20.87 

9.3 

23.8 

16.10 

8.02 

110.15 

2382000 

4.90 

2.6 

1.27 

3.10 

1.0 

22.3 

.  14.18 

24.00 

52.29 

2383000 

7.80 

16.2 

11.99 

15.28 

5.6 

20.9 

12.25 

14.74 

111.98 

2384000 

10.70 

0.7 

8.58 

27.45 

10.0 

19.4 

10.32 

5.49 

54.12 

2385000 

13.59 

14.2 

5.17 

9.69 

1.8 

18.0 

8.38 

21.46 

113.81 

2386000 

16.49 

27.8 

1.76 

21.86 

6.3 

16.6 

6.45 

12.21 

55.95 

2387000 

2.49 

12.3 

12.48 

4.10 

10.8 

15.1 

4.52 

2.95 

115.64 

2388000 

5.39 

25.9 

9.07 

16.27 

2.6 

13.7 

2.59 

18.93 

57.78 

2389000 

8.29 

10.4 

5.66 

28.44 

7.1 

12.2 

0.66 

9.68 

117.47 

2390000 

11.18 

240 

2.25 

10.68 

11.6 

10.8 

16.94 

0.42 

59.61 

2391000 

14.08 

8.5 

12.97 

22.85 

3.3 

9.4 

15.02 

16.40 

1.76 

2392000 

0.08 

22.0 

9.56 

5.09 

7.8 

8.0 

13.09 

7.14 

61.44 

239.'<000 

2.98 

6.6 

6.14 

17.26 

12.4 

6.5 

11.16 

23.12 

3.59 

2394000 

5.88 

20.1 

2.73 

29.43 

4.1 

5.1 

9.23 

13.86 

63.27 

2395000 

8.77 

4.7 

13.45 

11.67 

8.6 

3.6 

7.29 

4.61 

5.42 

2396000 

11.67 

18.2 

10.04 

23.84 

0.3 

2.2 

5.36 

20.59 

65.10 

2397000 

14.57 

2.8 

6.63 

6.08 

4.9 

0.8 

3.43 

11.33 

7.25 

2398000 

0.57 

16.3 

3.22 

18.25 

9.4 

24.3 

1.50 

2.08 

66.93 

2399000 

3.46 

0.8 

13.94 

0.49 

1.1 

22.9 

17.78 

18.05 

9.08 

2400000 

6.36 

14.4 

10.53 

12.67 

5.6 

21.5 

15.85 

8.80 

68.76 

33 


TABLE  II«. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2 100000. 
For  Washington  Mean  Noon. 


«Sr£-.AM.«.   «•    <*.    *r.    38.    .19    60.    6..    63. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

2300000 

8.49 

4.41 

1.74 

12.90 

7.94 

32.07 

16.92 

8.62 

4.61 

2301000 

13.88 

3.42 

4.81 

10.64 

1.95 

19.01 

12.44 

1.76 

8.11 

3302000 

4.20 

2.43 

7.88 

8.39 

11.21 

5.95 

7.96 

8.52 

11.61 

2303000 

9.59 

1.43 

10.96 

6.13 

5.22 

31.85 

3.49 

1.67 

0.67 

2304000 

14.98 

0.44 

0.91 

3.87 

14.47 

18.78 

21.33 

8.42 

4.17 

2305000 

5.29 

19.08 

3.98 

1.61 

8.49 

5.72 

16.85 

1.57 

7.67 

2306000 

10.68 

18.09 

7.05 

16.35 

2.50 

31.62 

12.38 

8.32 

11.17 

2307000 

1.00 

17.09 

10.13 

14.09 

11.76 

18.56 

7.90 

1.47 

0.24 

2308000 

6.39 

16.10 

0.08 

11.83 

5.77 

5.50 

3.42 

8.22 

3.74 

2309000 

11.77 

15.11 

3.15 

9.58 

15.03 

31.40 

21.27 

1.37 

7.21 

2310000 

2.09 

14.12 

6.22 

7.32 

9.04 

18.33 

16.79 

8.12 

10.71 

2311000 

7.49 

13.13 

9.29 

5.06 

3.06 

5.27 

12.31 

1.27 

14.24 

2312000 

12.87 

12.14 

12.37 

2.80 

12.31 

31.17 

7.83 

8.02 

3.30 

2313000 

3.18 

11.14 

2.32 

0.54 

6.33 

18.11 

3.36 

1.18 

6.80 

2314000 

8.57 

10.15 

5.39 

15.28 

0.34 

5.05 

21.20 

7.93 

10.30 

2315000 

13.96 

9.16 

8.46 

13.02 

9.60 

30.95 

16.72 

1.08 

13.81 

2316000 

4.28 

8.17 

11.54 

10.76 

3.61 

17.88 

12.25 

7.83 

2.88 

2317000 

9.66 

7.18 

1.49 

8.51 

12.87 

4.82 

7.77 

0.98 

6.37 

2318000 

15.05 

6.18 

4.56 

6.25 

6.88 

30.72 

3.29 

7.73 

9.87 

2319000 

5.37 

5.19 

7.63 

3.99 

0.90 

17.66 

21.14 

0.88 

13.37 

2320000 

10.76 

4.20 

10.71 

1.73 

10.15 

4.59 

16.66 

7.63 

2.44 

2321000 

1.07 

3.21 

0.66 

16.47 

4.17 

30.49 

12.18 

0.78 

5.91 

2322000 

6.46 

2.21 

3.73 

14.21 

13.42 

17.43 

7.70 

7.54 

9.41 

2323000 

11.85 

1.21 

6.80 

11.95 

7.44 

4.37 

3.23 

0.68 

12.9  I 

2324000 

2.17 

0.23 

9.88 

9.69 

1.45 

30.27 

21.07 

7.44 

2.00 

2325000 

7.55 

18.86 

12.95 

7.44 

10.71 

17.21 

16.59 

0.59 

5.50 

2326000 

12.94 

17.87 

2.90 

5.18 

4.72 

4.14 

12.12 

7.34 

9.01 

•2327000 

3.26 

16.88 

5.97 

2.92 

13.97 

30.04 

7.64 

0.49 

12.51 

2328000 

8.65 

15.89 

9.05 

0.66 

7.99 

16.98 

3.16 

7.24 

1.57 

^':t-J9000 

14.03 

14.89 

12.12 

15.40 

2.00 

3.92 

21.01 

0.39 

5.07 

2330000 

4.35 

13.90 

2.07 

13.14 

11.26 

29.82 

16.53 

7.14 

8.57 

2331000 

9.74 

12.91 

5.14 

10.88 

5.27 

16.76 

12.05 

0.29 

12.07 

2332000 

0.06 

11:92 

8.21 

8.62 

14.53 

3.69 

7.58 

7.05 

1.14 

2333000 

5.44 

10.92 

11.29 

6.37 

8.54 

29.59 

3.10 

0.19 

4.64 

2331000 

10.83 

9.93 

1.24 

4.11 

2.56 

16.53 

20.94 

6.95 

8.14 

9888000 

1.14 

8.94 

4.31 

1.85 

11.81 

3.47 

16.47 

0.10 

11.64 

2336000 

6.54 

7.95 

7.38 

16.58 

5.83 

29.37 

11.99 

6.85 

0.70 

'j:W7000 

11.92 

6.96 

10.46 

14.32 

15.08 

16.31 

7.51 

0.00 

4.20 

9888000 

2.24 

5.96 

0.41 

12.07 

9.10 

3.24 

3.04 

6.75 

7.70 

2339000 

7.63 

4.97 

3.48 

9.81 

3.11 

29.14 

20.88 

13.51 

11.21 

•j:(  10000 

13.02 

3.98 

6.55 

7.56 

12.36 

16.08 

16.40 

6.65 

0.27 

2311(100 

&S8 

2.99 

9.62 

5.30 

6.38 

3.02 

11.93 

13.41 

3.77 

9842000 

8.72 

2.00 

12.70 

.'(.()  1 

0.39 

28.92 

7.45 

6.55 

7.27 

•j:i  13000 

14.11 

1.00 

2.65 

0.78 

9.65 

15.85 

2.97 

13.31 

10.77 

23  1  1000 

4.43 

0.01 

5.72 

15.51 

3.66 

2.79 

20.82 

6.46 

14.27 

9845000 

9.81 

18.65 

8.79 

18J96 

12.92 

28.69 

16.34 

13.21 

3.34 

9846000 

0.13    17.66 

11.87 

11.00 

6.93 

15.63 

11.86 

6.36 

6.84 

2347000 

:>:>•>.    16.67 

1.82 

8.74 

0.95 

2.57 

7.38 

13.12 

10.34 

8848000 

10.911    15.67 

4.89 

6.49 

10.20 

28.47 

2.91 

6.26 

13.84 

2349000 

1.22    '14.68 

7.96 

4.23 

4.22 

15.40 

20.75 

13.02 

2.90 

9350000 

6.61 

13.69 

11.04 

1.97 

13.47 

2.34 

16.27 

6.16 

6.40 

34 


TABLE  II«. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 

For  Washington  Mean  Noon. 


juhaf/plod.  AKG-  5i-   53'    5G-     57'     5S-     *»     60-    «l.    62. 

2350000 

<i. 
6.61 

d. 

13.69 

d. 
11.04 

d. 

1.97 

d. 

13.47 

d 

2.34 

d 

16.27 

d. 

6.16 

d. 

6.40 

2351000 

12.00 

12.70 

0.99 

16.70 

7.49 

28.24 

11.80 

12.92 

9.90 

2352000 

2.32 

11.71 

4.07 

14.45 

1.50 

15.18 

7.32 

6.06 

13.41 

2353000 

7.70 

10.71 

7.13 

12.19 

10.75 

2.11 

2.84 

12.82 

2.47 

2351000 

13.09 

9.72 

10.21 

9.93 

4.77 

28.02 

20.69 

5.97 

5.97 

2355000 

3.41 

8.73 

0.16 

7.68 

14.02 

14.95 

16.2 

12.72 

9.47 

2356000 

8.80 

7.74 

3.23 

5.42 

8.04 

1.89 

11.73 

5.87 

12.97 

2357000 

14.18 

6.75 

6.30 

3.16 

2.06 

27.79 

7.26 

12.63 

2.03 

2358000 

4.50 

5.75 

9.38 

0.90 

11.31 

14.73 

2.78 

5.77 

5.53 

2359000 

9.89 

4.76 

12.45 

15.63 

5.33 

1.66 

20.62 

12.53 

9.04 

2360000 

0.21 

3.77 

2.40 

13.38 

14.58 

27.56 

16.15 

5.67 

12.54 

2361000 

5.60 

2.78 

5.47 

11.12 

8.59 

14.50 

11.67 

13.43 

1.60 

2362000 

10.98 

1.78 

8.54 

8.86 

2.61 

1.44 

7.19 

5.57 

5.10 

2363000 

1.30 

0.79 

11.62 

6.61 

11.86 

27.34 

2.71 

12.33 

8.60 

2364000 

6.69 

19.43 

1.57 

4.35 

5.88 

14.28 

20.56 

5.48 

12.10 

2365000 

12.07 

18.43 

4.64 

2.09 

15.13 

1.21 

16.08 

12.23 

1.17 

2366000 

2.39 

17.44 

7.71 

16.82 

9.15 

27.11 

11.60 

5.38 

4.67 

2367000 

7.78 

16.45 

10.79 

14.57 

3.16 

14.05 

7.13 

12.14 

8.17 

2368000 

13.17 

15.46 

0.74 

12.31 

12.42 

0.99 

2.65 

5.28 

11.67 

2369000 

3.48 

14.46 

3.81 

10.05 

6.43 

26.89 

20.49 

12.04 

0.73 

2370000 

8.87 

13.47 

6.88 

7.79 

0.45 

13.82 

16.02 

5.18 

4.23 

2371000 

'  14.26 

12.48 

9.95 

5.54 

9.70 

0.76 

11.54 

11.94 

7.73 

2372000 

4.58 

11.49 

13.03 

3.28 

3.72 

26.66 

7.06 

5.08 

11.24 

2373000 

9.96 

10.49 

2.98 

1.02 

12.97 

13.60 

2.59 

11.84 

0.30 

2374000 

0.28 

9.50 

6.05 

15.75 

6.99 

0.54 

20.43 

4.98 

3.80 

2375000 

5.67 

8.51 

9.12 

13.50 

1.00 

26.44 

15.95 

11.74 

7.30 

B376000 

11.06 

7.52 

12.20 

11.24 

10.26 

13.37 

11.48 

4.89 

10.80 

2377000 

1.37 

6.53 

2.15 

8.98 

4.27 

0.31 

7.00 

11.64 

14.30 

2378000 

6.76 

5.53 

5.22 

6.73 

13.52 

26.21 

2.52 

4.79 

3.37 

2379000 

12.15 

4.54 

8.29 

4.47 

7.54 

13.15 

20.37 

11.55 

6.87 

2380000 

2.47 

3.55 

11.37 

2.21 

1.55 

0.08 

15.89 

4.69 

10.37 

2381000 

7.86 

2.56 

1.32 

16.94 

10.81 

25.98 

11.41 

11.45 

13.87 

2382000 

13.24 

1.57 

4.39 

14.69 

4.82 

12.92 

6.94 

4.59 

2.93 

2383000 

3.56 

0.57 

7.46 

12.43 

14.08 

38.82 

2.46 

11.35 

6.43 

2384000 

8.95 

19.21 

10.54 

10.17 

8.09 

25.76 

20.30 

4.49 

9.93 

2385000 

14.33 

18.22 

0.49 

7.91 

2.11 

12.70 

15.83 

11.25 

13.44 

2386000 

4.65 

17.23 

3.56 

5.66 

11.36 

38.59 

11.36 

4.40 

2.50 

2387000 

10.04 

16.24 

6.63 

3.40 

5.38 

25.53 

6.87 

11.15 

6.00 

2388000 

0.36 

15.24 

9.71 

1.14 

14.63 

12.47 

2.40 

4.30 

9.50 

2389000 

5.74 

14.25 

12.78 

15.87 

8.65 

38.37 

20.24 

11.06 

13.00 

2390000 

11.13 

13.26 

2.73 

13.62 

2.66 

25.31 

15.76 

4.20 

2.06 

2391000 

1.45 

12.27 

5.80 

11.36 

11.91 

12.24 

11.29 

10.96 

5.56 

2392000 

6.84 

11.28 

8.87 

9.10 

5.93 

38.14 

6.81 

4.10 

9.07 

2393000 

12.22- 

10.28 

11.95 

6.85 

15.18 

25.08 

2.33 

10.86 

12.57 

2394000 

2.54 

9.29 

1.90 

4.59 

9.20 

12.02 

20.18 

4.00 

1.63 

2395000 

7.93 

8.30 

4.97 

2.33 

3.21 

37.92 

15.70 

10.76 

5.13 

2396000 

13.32 

7.31 

8.04 

0.07 

12.47 

24.86 

11.22 

3.90 

8.63 

2397000 

3.63 

6.32 

11.12 

14.80 

6.48 

11.79 

6.74 

10.66 

12.13 

2398000 

9.02 

5.32 

1.07 

12.55 

0.50 

37.69 

2.27 

3.81 

1.20 

2399000 

14.41 

4.33 

4.14 

10.29 

9.75 

24.63 

20.11 

10.56 

4.70 

3400000 

4.73 

3.34 

7.21 

8.03 

3.77 

11.57 

15.63 

•  3.71 

8.20 

35 


TABLE  II«. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 

For  Washington  Mean  Noon. 


juiiCJrlL.  AUG.  63.      61.         65.          66.           67.           68.           69.            7O.            71. 

2300000 

d 

8.80 

d. 

11.71 

d. 

9.97 

d. 

32.1 

d. 

11.13 

d. 

18.74 

163.0 

d 

233.6 

•i. 
122.6 

2301000 

13.57 

3.93 

11.36 

35.4 

23.17 

22.74 

219.2 

244.2 

538.6 

2302000 

4.69 

32.14 

12.74 

3.1 

7.76 

26.74 

275.4 

251.8 

370.8 

2303000 

9.45 

24.36 

14.12 

6.4 

19.80 

3.07 

331.7 

265.5 

203.0 

2304000 

0.58 

16.58 

1.01 

9.7 

4.40 

7.07 

387.9 

276.1 

35.1 

2305000 

5.34 

8.80 

2.39 

13.1 

16.44 

11.07 

444.1 

286.8 

451.2 

2306000 

10.11 

1.02 

3.77 

16.4 

1.04 

15.07 

28.4 

297.4 

283.4 

2307000 

1.23 

29.23 

5.14 

19.7 

13.08 

19.06 

84.6 

308.0 

115.5 

2308000 

6.00 

21.46 

6.52 

23.0 

25.12 

23.06 

140.8 

318.7 

531.6 

2309000 

10.77 

13.68 

7.90 

26.3 

9.71 

27.06 

197.0 

329.3 

363.8 

2310000 

1.89 

5.89 

9.28 

29.6 

21.76 

3.39 

253.2 

10.1 

195.9 

2311000 

6.65 

34.11 

10.66 

32.9 

6.35 

7.39 

309.4 

20.7 

28.1 

2312000 

11.42 

26.33 

12.05 

0.6 

18.39 

11.39 

365.7 

31.3 

444.1 

2313000 

2.54 

18.55 

13.43 

4.0 

2.99 

15.39 

421.9 

42.0 

276.3 

2314000 

7.30 

10.77 

0.33 

7.3 

15.03 

19.39 

6.2 

52.6 

108.5 

2315000 

12.07 

2.99 

1.70 

10.6 

27.08 

23.39 

62.4 

63.3 

524.5 

2316000 

3.19 

31.20 

3.08 

13.9 

11.67 

27.39 

118.6 

73.9 

356.7 

2317000 

7.96 

23.42 

4.46 

17.2 

23.71 

3.72 

174.8 

84.5 

188.9 

2318000 

12.72 

15.64 

5.84 

20.6 

8.30 

7.72 

231.0 

95.2 

21.0 

2319000 

3.85 

7.87 

7.22 

23.9 

20.34 

11.72 

287.2 

105.8 

437.1 

2320000 

8.61 

0.09 

8.60 

27.2 

4.94 

15.72 

343.4 

116.4 

269.2 

2321000 

13.38 

28.30 

9.98 

30.5 

16.98 

19.72 

399.7 

127.0 

101.4 

2322000 

4.50 

20.52 

11.37 

33.8 

1.58 

23.72 

455.9 

137.6 

517.5 

2323000 

9.26 

12.74 

12.74 

1.6 

13.62 

0.05 

40.2 

148.3 

349.6 

2324000 

0.39 

4.96 

14.12 

4.9 

.     25.67 

4.05 

96.4 

158.9 

181.8 

2325000 

5.15 

33.17 

1.02 

8.2 

10.26 

8.05 

152.6 

169.6 

13.9 

2326000 

9.91 

25.39 

2.40 

11.5 

22.30 

12.05 

208.8 

180.2 

490*0 

2327000 

1.04 

17.61 

3.78 

14.8 

6.90 

16.05 

265.0 

190.8 

262.2 

2328000 

5.80 

9.83 

5.15 

18.2 

18.94 

20.04 

321.2 

201.5 

94.3 

2329000 

10.57 

2.05 

6.53 

21.5 

3.53 

24.04 

377.4 

212.1 

510.4 

2330000 

1.69 

30.26 

7.91 

24.8 

15.57 

0.37 

433.7 

222.7 

342.6 

3631000 

6.46 

22.49 

9.29 

28.1 

0.17 

4.37 

18.0 

233.3 

174.7 

2332000 

11.23 

14.71 

10.67 

31.4 

12.21 

8.37 

74.2 

243.9 

6.9 

2333000 

2.35 

6.93 

12.06 

34.7 

24.25 

12.37 

130.4 

254.6 

423.0 

2334000 

7.11 

35.14 

13.44 

2.4 

8.85 

16.37 

186.6 

265.2 

255.1 

2335000 

11.88 

27.36 

0.33 

5.8 

20.89 

20.37 

242.8 

275.8 

87.3 

2336000 

3.00 

19.58 

1.71 

9.1 

5.49 

24.37 

299.0 

286.4 

503.4 

2337000 

7.76 

11.80 

3.09 

12.4 

17.53 

0.70 

355.2 

297.0 

885.5 

2338000 

12.53 

4.02 

4.47 

15.7 

2.12 

4.70 

411.5 

307.7 

167.7 

2339000 

3.65 

32.23 

5.85 

19.0 

14.16 

8.70 

467.7 

318.3 

583.7 

2340000 

8.42 

24.45 

7.23 

22.3 

26.21 

12.70 

52.0 

328.9 

415.9 

2341000 

13.18 

16.67 

8.61 

25.6 

10.80 

16.70 

108.2 

9.7 

248.1 

2342000 

4.31 

8.90 

9.99 

28.9 

22.84 

20.70 

164.4 

20.3 

80.2 

i!:f  13000 

9.07 

1.12 

11.38 

32.3 

7.44 

24.70 

220.6 

31.0 

496.3 

2:511000 

0.20 

29.33 

12.76 

0.0 

19.48 

1.03 

276.8 

41.6 

328.5 

23  lf>000 

4.96 

21.55 

14.13 

3.3 

4.08 

5.03 

333.0 

52.3 

160.6 

•-i.'tir.ooo 

9.72 

13.77 

1.03 

6.6 

16.12 

9.03 

389.3 

62.9 

576.7 

3847000 

0.85 

5.99 

2.41 

9.9 

0.71 

13.03 

415.5 

73.5 

408.9 

3848000 

:>.<;  i 

:u.-4(» 

3.79 

13.3 

12.75 

17.03 

29.8 

84.2 

241.0 

3849000 

io.:t7 

26.42 

5.17 

16.6 

24.80 

21.03 

86.0 

94.8 

73.2 

•-•:i.->oooo 

l.f>0 

18.64 

6.55 

19.9 

9.39 

25.03 

142.2 

105.4 

489.3 

36 


TABLE 


Epochs  and  Arguments  for  eac.h  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


Jan™  peL.  ARG.  63.   61.    65.    66.    67.    68.    69.     7O.     71. 

2350000 

d. 

1.50 

18.64 

d. 

6.55 

d. 

19.9 

9.39 

d. 
25.03 

142.2 

d. 

105.4 

489.3 

2351000 

6.26 

10.86 

7.93 

23.2 

21.43 

1.36 

198.4 

116.0 

321.4 

2352000 

11.03 

3.09 

9.31 

26.5 

6.04 

5.36 

254.6 

126.6 

153.6 

2353000 

2.16 

31.30 

10.68 

29.9 

18.08 

9.35 

310.9 

137.3 

569.6 

2354000 

6.92 

23.52 

12.07 

33.2 

2.67 

13.36 

367.1 

147.9 

401.8 

2355000 

11.69 

15.74 

13.45 

0.9 

14.71 

17.36 

423.3 

158.6 

234.0 

2356000 

2.81 

7.96 

0.35 

4.2 

26.76 

21.36 

7.6 

169.2 

66.1 

2357000 

7.57 

36.17 

1.73 

7.5 

11.35 

25.35 

63.8 

179.8 

482.2 

2358000 

12.34 

28.39 

3.10 

10.9 

23.39 

1.68 

120.0 

190.5 

314.4 

2359000 

3.46 

20.61 

4.48 

14.2 

7.99 

5.68 

176.2 

201.1 

146.5 

2360000 

8.22 

12.83 

5.86 

17.5 

20.02 

9.68 

232.5 

211.7 

562.6 

2361000 

12.99 

5.05 

7.24 

20.8 

4.62 

13.68 

288.7 

222.3 

394.8 

2362000 

4.11 

33.27 

8.62 

24.1 

16.66 

17.68 

344.9 

232.9 

226.9 

2363000 

8.88 

25.49 

9.99 

27.5 

1.26 

21.68 

401.1 

243.6 

59.1 

2364000 

0.01 

17.71 

11.38 

30.8 

13.30 

25.68 

457.3 

254.2 

475.1 

2365000 

4.77 

9.93 

12.76 

34.1 

25.35 

2.01 

41.6 

264.9 

307.3 

2366000 

9.53 

2.15 

14.14 

1.8 

9.94 

6.01 

97.8 

275.5 

139.5 

2367000 

0.66 

30.36 

1.04 

5.1 

21.98 

10.01 

154.0 

286.1 

555.5 

2368000 

5.42 

22.58 

2.41 

8.4 

6.57 

14.01 

210.3 

296.8 

387.7 

2369000 

10.18 

14.80 

3.79 

11.8 

18.61 

18.01 

266.5 

307.4 

219.9 

2370000 

1.31 

7.02 

5.17 

15.1 

3.21 

22.01 

322.7 

318.0 

52.0 

2371000 

6.07 

35.23 

6.55 

18.4 

15.25 

26.01 

378.9 

328.6 

468.1 

2372000 

10.84 

27.46 

7.93 

21.7 

27.30 

2.34 

435.1 

9.4 

300.2 

2373000 

1.96 

19.68 

9.31 

25.0 

11.89 

6.34 

19.4 

20.1 

132.4 

2374000 

6.73 

11.90 

10.69 

28.3 

23.93 

10.34 

75.7 

30.7 

548.5 

2375000 

11.50 

4.12 

12.07 

31.7 

8.53 

14.34 

131.9 

41.4 

380.6 

2376000 

2.62 

32.33 

13.45 

35.0 

20.57 

18.34 

188.1 

52.0 

212.8 

2377000 

7.38 

24.55 

0.35 

2.7 

5.16 

22.34 

244.3 

62.6 

44.9 

2378000 

12.15 

16.77 

1.73 

6.0 

17.20 

26.34 

300.5 

73.3 

461.0 

2379000 

3.27 

8.99 

3.11 

9.3 

1.80 

2.67 

356.7 

83.9 

293.2 

2380000 

8.03 

1.21 

4.49 

12.6 

13.84 

6.67 

412.9 

94.5 

125.4 

2381000 

12.80 

29.43 

5.87 

15.9 

25.89 

10.67 

469.1 

105.1 

541.4 

2382000 

3.92 

21.65 

7.25 

19.2 

10.48 

14.67 

53.5 

115.7 

373.6 

2383000 

8.68 

13.87 

8.63 

22.6 

22.52 

18.67 

109.7 

126.4 

205.7 

2384000 

13.45 

6.09 

10.01 

25.9 

7.12 

22.67 

165.9 

137.0 

37.9 

2385000 

4.58 

34.30 

11.39 

29.3 

19.16 

26.67 

222.1 

147.7 

454.0 

2386000 

9.34 

26.52 

12.77 

32.6 

3.75 

2.99 

278.3 

158.3 

286.1 

2387000 

0.47 

18.74 

14.15 

0.3 

15.79 

6.99 

334.5 

168.9 

118.3 

2388000 

5.23 

10.96 

1.05 

3.6 

0.39 

11.00 

390.7 

179.6 

534.4 

2389000 

9.99 

3.19 

2.43 

6.9 

12.43 

15.00 

446.9 

190.2 

366.5 

2390000 

1.12 

31.40 

3.81 

10.2 

24.48 

18.99 

31.3 

200.8 

198.7 

2391000 

5.88 

23.62 

5.19 

13.5 

9.07 

22.99 

87.5 

211.4 

30.9 

2392000 

10.65 

15.84 

6.57 

16.8 

21.13 

26.99 

143.7 

222.0 

446.9 

2393000 

1.77 

8.06 

7.95 

20.2 

5.71 

3.32 

199.9 

232.7 

279.1 

2394000 

6.53 

0.28 

9.33 

23.5 

17.75 

7.32 

256.1 

243.3 

111.2 

2395000 

11.30 

28.49 

10.70 

26.8 

2.35 

11.32 

312.3 

254.0 

527.3 

2396000 

2.43 

20.71 

12.09 

30.1 

14.39 

15.32 

368.5 

264.6 

359.5 

2397000 

7.19 

12.94 

13.47 

33.4 

26.43 

19.32 

424.8 

275.2 

191.6 

2398000 

11.96 

5.16 

0.37 

1.2 

11.02 

23.32 

9.1 

285.9 

23.8 

2399000 

3.08 

33.37 

1.75 

4.5 

23.06 

27.32 

65.3 

296.5 

439.8 

2400000 

7.84 

25.59 

3.13 

7.8 

7.66 

3.65 

121.5 

307.1 

272.0 

37 


TABLE 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 
For  Washington  Mean  Noon. 


j-iSVSw.  AEG-  72'   73'   74'    7S'    ™'     78'     ™'    **.    81. 

2300000 

d. 

103.9 

2077.0 

3031 

54315 

2766 

d. 

6.448 

366.2 

d 

57.0 

50.32 

2301000 

306.2 

886.7 

798 

55315 

3766 

65.440 

51.1 

117.8 

56.68 

2302000 

109.5 

1886.7 

1798 

56315 

4766 

124.432 

174.4 

178.7 

63.04 

2303000 

311.7 

696.4 

2798 

57315 

5767 

183.424 

297.7 

239.5 

69.41 

2304000 

115.1 

1696.4 

565 

58315 

6767 

54.214 

420.9 

300.3 

75.77 

2305000 

317.3 

506.1 

1565 

59315 

7767 

113.208 

105.9 

48.1 

82.13 

2306000 

1207 

150S.1 

25(55 

60315 

8768 

172.  IDS 

229.1 

109.0 

88.49 

3307000 

322.9 

315.8 

332 

61315 

9768 

42.988 

352.4 

169.8!    94.85 

2308000 

126.2 

1315.8 

1332 

62315 

10769 

101.981 

37.3 

230.6 

101.22 

2309000 

328.5 

125.5 

2332 

63315 

11769 

160.972 

160.6 

291.5 

107.58 

2310000 

131.8 

1125.5 

99 

64315 

12769 

31.763 

283.9 

39.2 

113.94 

2311000 

334.1 

2125.5 

1099 

65315 

13769 

90.755 

407.2 

100.1 

120.30 

2312000 

137.4 

»   935.2 

2099 

66315 

14769 

149.747 

92.1 

160.9 

2.46 

2313000 

339.6 

1935.2 

3099 

67315 

15770 

20.538 

215.3 

221.7 

8.83 

2314000 

143.0 

744.8 

867 

68315 

16770 

79.530 

338.6 

282.6 

15.19 

2315000 

345.2 

1744.8 

1867 

69315 

17770 

138.522 

23.5 

30.4 

21.55 

2316000 

148.6 

554.5 

2867 

70315 

18771 

9.312 

146.8 

91.2 

27.92 

2317000 

350.8 

1554.5 

634 

71315 

19771 

68.304 

270.1 

152.0 

34.28 

2318000 

154.1 

364.1 

1634 

72315 

20772 

127.296 

393.4 

212.8 

40.65 

2319000 

356.4 

1364.1 

2634 

73315 

21772 

186.288 

78.3 

273.7 

47.01 

2320000 

159.7 

173.9 

401 

74315 

22772 

57.079 

201.6 

21.5 

53.37 

2321000 

361.9 

1173.9 

1401 

75315 

23772 

116.071 

321.8 

82.3 

59.73 

2322000 

165.3 

2173.9 

2401 

76315 

24773 

175.064 

9.8 

143.2 

66.09 

2323000 

367.5 

983.6 

168 

77315 

25773 

45.854 

133.0 

204.0 

72.46 

2324000 

170.9 

1983.6 

1168 

78315 

26773 

104.846 

256.3 

264.8 

78.82 

2325000 

373.  1 

793.3 

2168 

79315 

27774 

163.838 

379.6 

12.6 

85.18 

2326000 

nr,.r> 

1793.3 

3168 

80315 

28774 

34.62S 

64.5 

73.4 

91.55 

•j:W7000 

378.7 

602.9 

935 

81315 

29774 

93.620 

187.8 

134.3 

97.91 

2328000 

182.0 

1602.9 

1935 

82315 

30775 

152.613 

311.1 

195.1 

104.28 

2329000 

384.3 

412.6 

2935 

83315 

31775 

23.403 

431.3 

255.9 

110.64 

2330000 

187.6 

1412.6 

703 

84315 

32775 

82.395 

119.3 

3.8 

117.00 

2331000 

389.8 

222.3 

1703 

562 

33775 

141.387 

242.5 

64.6 

123.36 

•j:mooo 

193.2 

1222.3 

2703 

1562 

34775 

12.178 

365.8 

125,4 

5.62 

2389000 

395.4 

32.0 

470 

2562 

35775 

71.170 

50.7 

186.3 

11.89 

2334000 

198.8 

1032.0 

1470 

3562 

36776 

130.162 

174.0 

W7.1 

18.25 

2335000 

2.1 

2032.0 

2470 

4562 

37776 

0.952 

297.3 

307.9 

24.61 

2336000 

204.4 

841.7 

237 

5562 

38776 

59.945 

430.6 

55.7 

30.98 

ii:i:t7000 

7.7 

1841.7 

1237 

6562 

39776 

1  19.937 

105.5 

116.5 

87.84 

2338000 

209.9 

651.3 

2237 

7562 

40777 

177.929 

228.8 

177,4 

43.71 

2339000 

13.3 

1651.3 

4 

8562 

41777 

48.719 

852.0 

238.2 

50.07 

2340000 

215.5 

461.0 

1001 

9562 

42777 

107.712 

86.9 

299.1 

56.  J3 

2341000 

18.9 

1461.0   2004 

10562 

43777 

166.701 

160.2 

46.9 

68.79 

8342000 

221.1 

270.7 

3004 

11562 

44777 

37.495 

283.5 

107.7 

69J5 

3343000 

•Jl  1 

1270.7 

771 

12562 

45777 

96.487 

406.8 

168.6 

75.52 

2344000 

226.7 

80.4 

1771 

13562 

46777 

155.479 

91.7 

229.  1 

81.88 

2845000 

30.0 

1080.4 

2771 

14562 

47778 

26.270 

215.0 

290.2 

88.24 

2346000 

2:fJ.2    20M>.  1     ;V1!I 

1.-.5W    48778 

sr,  -I*! 

888.3 

86.0 

91.61 

•_>:!  HIM  >o 

35.  (i    SIMM    153!) 

165W    49778 

1J4.  25  4 

23.2 

98.9 

100.97 

2348000 

237.  N   iviu  i   •_•:•:{!) 

17562    507  7  s 

15.048 

146.4 

159.7 

107.:!! 

2319000 

I  I  •'.     6!)!).  7     300 

Isr.lW    51778 

74.037 

269.7 

220.S 

118.70 

2350000 

243.4    1699.7 

1306 

19562 

52778 

133.02!) 

893.0 

281.3 

120.06 

38 


TABLE  II«. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2 100000. 

For  Washington  Mean  Noon. 


juiKuxi.  ARG-  *»•   79'   r4'    75'    ™-     78.     79.    80.    81. 

2350000 

d. 

243.4 

1699.7 

d. 

1306 

d. 

19562 

52778 

d. 

133.029 

d 

393.0 

d. 

281.3 

120.06 

2351000 

46.8 

509.4 

2306 

20562 

53778 

3.820 

77.9 

29. 

2.22 

2352000 

249.0 

1509.4 

73 

21562 

54778 

62.812 

201.2 

90.0 

8.58 

2353000 

52.3 

319.1 

1073 

22562 

55778 

121.805 

324.5 

150.8 

14.95 

2354000 

254.6 

1319.1 

2073 

23562 

56778 

180.797 

9.4 

211.6 

21.31 

2355000 

57.9 

128.7 

3073 

24562 

57778 

51.588 

132.7 

272.5 

27.67 

2356000 

260.1 

1128.7 

840 

25562 

58779 

110.580 

255.9 

20.3 

34.04 

2357000 

63.5 

2128.7 

1840 

26562 

59779 

169.572 

379.2 

81. 

40.40 

2358000 

265.7 

938.4 

2840 

27562 

60779 

40.363 

64.1 

141.9 

46.77 

2359000 

69.1 

1938.4 

607 

28562 

61779 

99.355 

187.4 

202.8 

53.13 

2360000 

271.3 

748.1 

1607 

29562 

62779 

158.347 

310.7 

263.6 

59.49 

2361000 

74.7 

1748.1 

2607 

30562 

63779 

29.138 

434.0 

11.4 

65.85 

2362000 

276.9 

557.8 

374 

31562 

64779 

88.131 

118.9 

72.2 

72.21 

2363000 

80.2 

1557.8 

1374 

32562 

65779 

147.123 

242.2 

133.1 

78.58 

2364000 

282.5 

367.5 

2374 

33562 

66779 

17.914 

365.5 

193.9 

84.94 

2365000 

85.8 

1367.5 

142 

34562 

67779 

76.906 

50.4 

254.7 

91.30 

2366000 

288.0 

177.1 

1142 

35562 

68779 

135.898 

173.6 

2.5 

97.67 

2367000 

91.4 

1177.1 

2142 

36562 

69779 

6.689 

296.9 

63.4 

104.03 

2368000 

293.6 

2177.1 

3142 

37562 

70779 

65.682 

420.2 

124.2 

110.40 

2369000 

97.0 

986.8 

909 

38562 

71779 

124.674 

105.1 

185.0 

116.76 

2370000 

299.2 

1986.8 

1909 

39562 

72779 

183.666 

228.4 

245.8 

123.12 

2371000 

102.6 

796.5 

2909 

40562 

73779 

54.457 

351.7 

306.7 

5.28 

2372000 

304.8 

1796.5 

676 

41562 

74779 

113.450 

36.6 

54.5 

11.64 

2373000 

108.1 

606.1 

1676 

42562 

75779 

172.442 

159.9 

115.3 

18.01 

2374000 

310.4 

1606.1 

2676 

43562 

76779 

43.233 

283.2 

176.1 

24.37 

2375000 

113.7 

415.8 

443 

44562 

77779 

102.225 

406.4 

237.0 

30.73 

2376000 

315.9 

1415.8 

1443 

45562 

78779 

161.217 

91.3 

297.8 

37.09 

2377000 

119.3 

225.5 

2443 

46562 

79779 

32.008 

214.6 

45.6 

43.45 

2378000 

321.5 

1225.5 

210 

47562 

80779 

91.000 

337.9 

106.4 

49.82 

2379000 

124.9 

35.1 

1210 

48562 

81779 

149.992 

22.8 

167.3 

56.18 

2380000 

327.1 

1035.1 

2210 

49562 

82779 

20.784 

146.1 

228.1 

62.54 

2381000 

130.4 

2035.1 

3210 

50562 

83779 

79.777 

269.4 

288.9 

68.90 

2382000 

332.7 

844.8 

978 

51562 

84779 

138.769 

392.7 

36.7 

75.26 

2383000 

136.0   1844.8 

1978 

52562 

85779 

9.560 

77.6 

97.6 

81.63 

2384000 

33S.3 

654.5 

2978 

53562 

86779 

68.552 

200.9 

158.4 

87.99 

2385000 

141.6 

1654.5 

745 

54562 

87778 

127.545 

324.1 

219.2 

94.35 

2386000 

343.8 

464.2 

1745 

55562 

88778 

186.537 

9.0 

280.1 

100.72 

2387000 

147.2 

1464.2 

2745 

56562 

89778 

57.328 

132.3 

27.9 

107.08 

2388000 

349.4 

273.8 

512 

57562 

90778 

116.321 

255.6 

88.7 

113.45 

2389000 

152.8 

1273.8 

1512 

58562 

91778 

175.313 

378.9 

149.5 

119.81 

2390000 

355.0 

83.5 

2512 

59562 

92778 

46.105 

63.8 

210.4 

1.97 

2391000 

158.3 

1083.5 

279 

60562 

93778 

105.097 

187.1 

271.2 

8.33 

2392000 

360.6 

2083.5 

1279 

61562 

94778 

164.090 

310.4 

19.0 

14.69 

2393000 

163.9 

893.2 

2279 

62562 

288 

34.881 

433.6 

79.8 

21.06 

2394000 

366.2 

1893.2 

46 

63562 

1288 

93.873 

118.6 

140.6 

27.42 

2395000 

169.5 

702.8 

1046 

64562 

2288 

152.866 

241.8 

201.5 

33.78 

2396000 

371.7 

1702.8 

2046 

65562 

3287 

23.657 

365.1 

262.3 

40.15 

2397000 

175.1 

512.5 

3046 

66562     4287 

82.649 

50.0 

10.1 

46.51 

2398000 

377.3 

1512.5 

813 

67562     5287 

141.642 

173.3 

70.9 

52,88 

2399000 

180.7 

322.1 

1813 

68562     6287 

12.433 

296.6 

131.8 

59.24 

2400000 

382.9 

1322.1 

2813 

69562     7287 

71.425 

419.9 

192.6 

66.60 

39 


TABLE  H,T. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2100000. 

For  Washington  Mean  Noon. 


JullKiod.      ARQ'    82>         83>               84<                 85'               86>                 87-                  88<                89<               9O> 

2300000 

11.905 

cl. 

34.45 

10.79 

<i. 
7.32 

(i 
1.08 

ii. 
2.19 

<!. 

2.97 

(1. 

6.7 

<i. 
5.9 

2301000 

1.051 

14.95 

15.33 

19.50 

5.72 

7.62 

5.6. 

2.5 

5.2 

•2:iO-2000 

5.062 

34.65 

0.74 

8.17 

10.37 

13.05 

8.34 

17.6 

4.5 

91806000 

9.073 

15.15 

5.28 

20.36 

15.01 

4.27 

11.02 

13.4 

3.8 

2304000 

13.081 

34.86 

9.82 

9.03 

19.65 

9.69 

13.70 

9.18 

3.1 

2305000 

2.229 

15.36 

14.37 

21.22 

21.30 

0.91 

i.'ra 

4.94 

2.4 

2306000 

6.-211 

35.07 

18.91 

9.89 

28.94 

6.34 

4.40 

0.7 

1.6 

2307000 

10.252 

15.5C 

4.31 

22.08 

33.59 

11.76 

7.08 

15.79 

0.9 

2308000 

14.263 

35.27 

8.85 

10.74 

38.23 

2.98 

9.77 

11.56 

0.2 

2309000 

3.408 

15.77 

13.39 

22.93 

4.59 

8.40 

12.45 

7.33 

31.8 

2310000 

7.420 

35.48 

17.93 

11.60 

9.23 

13.83 

0.47 

3.10 

31.1 

2311000 

11.431 

15.98 

3.33 

0.27 

13.87 

5.05 

3.15 

18.18 

30.4 

2312000 

0.577 

35.69 

7.88 

12.45 

18.52 

10.47 

5.83 

13.94 

29.7 

2313000 

4.588 

16.18 

12.42 

1.12 

23.16 

1.69 

8.52 

9.7 

29.0 

2314000 

8.599 

35.89 

18.96 

13.31 

27.80 

7.1'~ 

11.20 

5.48 

28.3 

2315000 

12.610 

16.39 

2.36 

1.98 

32.45 

12.54 

13.88 

1.25 

27.6 

2316000 

1.756 

36.10 

6.91 

14.17 

37.09 

3.76 

1.90 

16.81 

26.9 

2317000 

5.767 

16.60 

11.45 

2.83 

3.41 

9.18 

4.58 

12.10 

26.2 

2318000 

9.778 

36.31 

15.99 

15.02 

8.09 

0.40 

7.26 

7.86 

25.5 

2319000 

13.789 

16.80 

1.39 

3.69 

12.74 

5.83 

9.95 

3.63 

24.8 

23-20000 

2.935 

36.51 

5.93 

15.88 

17.38 

11.25 

12.63 

18.71 

-   24.1 

2321000 

6.946 

17.01 

10,18 

4.55 

22.03 

2.47 

0.65 

14.48 

23.  1 

•2.T2-2000 

10.957 

36.72 

15.02 

16.73 

26.67 

7.90 

3.33 

10.25 

22.7 

•2:i-2:{000 

0.  103 

17.22 

0.42 

5.40 

31.32 

13.32 

6.01 

6.02 

22.0 

2321000 

4.114 

36.93 

4.96 

17.59 

35.96 

4.54 

8.70 

1.78 

31.8 

2325000 

8.125 

17.42 

9.50 

fi.26 

2.32 

9.96 

11.38 

16.86 

20.6 

•2:J-26000 

12.13fi 

37.13 

14.05 

IN  15 

6.96 

1.18 

14.06 

12.63 

19.8 

•2:i-27000 

1.282 

17.63 

18.59 

7.11 

11.61 

6.61 

2.08 

8.40 

19.1 

•j:i-28000 

5.293 

37.31 

3.99 

19.30 

16.25 

12.03 

4.76 

4.17 

18.4 

2329000 

9.301 

17.83 

8.53 

7.97 

20.89 

3.25 

7.45 

19.25 

17.7 

2330000 

13.315 

37.55 

13.07 

20.16 

25.53 

8.67 

10.13 

15.0-2 

17.0 

2:!:MOOO 

2.461 

18.04 

17.62 

8.83 

30.18 

14.10 

12.81 

10.79 

16.3 

2332000 

8.479 

:n.7:> 

3.02 

21.02 

34.82 

5.32 

0.83 

6.55 

15.6 

3333000 

10.488 

18.25 

7.56 

9.68 

1.18 

10.71 

3.51 

•2.:i-2 

14.9 

2334000 

11.  IMI 

37.96 

12.10 

21.87 

5.83 

1.96 

6.19 

17.40 

14.2 

2335000 

3.610 

18.46 

16.64 

10.51 

10.47 

7.39 

8.88 

13.17 

13.5 

3836000 

7.651 

88.16 

2.04 

22.73 

15.11 

12.81 

11.56 

8.94 

12.8 

2337000 

11.689 

18.66 

6.59 

11.10 

19.75 

4.03 

14.34 

1.71 

12.1 

2938000 

0.808 

88  81 

11.13 

'2:f.r>s 

24.40 

9.45 

2.26 

0.17 

11.4 

9989000 

4.819 

18.87 

15.67 

12.25 

29.01 

0.67 

4.94 

15.55 

10.7 

•2::  10000 

8.831 

:;s.:,s 

1.07 

0.92 

33.69 

6.10 

7.63 

11.89 

10.0 

3341000 

18.849 

19.08 

5.61 

13.11 

0.05 

11.69 

10.31 

7.09 

9,3 

2343000 

ujei 

88.78 

10.16 

1.78 

4.69 

2.74 

13.99 

2.86 

8.6 

2343000 

.->.  !)!)!) 

19.28 

'  1  1.70 

l  3.96 

!t.:t:t 

8.16 

1.01 

17.  ill 

7.9 

•2:i  1  1000 

10.010 

38.99 

0.10 

2.68 

13.98 

i:t.5!» 

8.69 

13.71 

7.2 

•2:u.-.ooo 

11.0-21 

19.49 

4.64 

14.82 

18.62 

4.81 

6.37 

!).17 

6.5 

3346000 

8.161 

89.20 

9.18 

:t.  in 

28.26 

10.23 

9.06 

5.2  1 

5.8 

2347000 

7.178 

19.69 

18.78 

15.68 

'27.  ill 

1.45 

11.71 

1.01 

5.1 

2348000 

1J.189 

0.19 

18.27 

4.34 

32.55 

6.88 

1  MM 

16.09 

4.4 

2349000 

o.  :!:;:,        19.90 

:u;7 

H;..™ 

37.19 

12.30 

'2.11 

11.86 

3.7 

•2:i:.0000 

4.:ir;         o.  10 

8.21 

5.20 

3.55 

3.5-2 

5.12 

7.63 

3.0 

40 


TABLE  Ila. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2300000  to  2400000. 

• 

For  Washington  Mean  Noon. 


Juli^Vedod   ARG-  82'     83'       84t      85'       86<        87/<        88<       89>       9O< 

2350000 

d. 

4.346 

A. 

0.40 

d. 

8.2 

d. 

5.20 

d. 

3.55 

d. 

3.52 

d. 

5.12 

d 

7.63 

d. 

3.0 

2351000 

8.357 

20.1 

12.76 

17.39 

8.20 

8.94 

7.8 

3.40 

2.3 

2352000 

12.368 

0.61 

17.30 

6.06 

12.84 

0.16 

10.4 

18.48 

1.6 

2353000 

1.514 

20.31 

2.70 

18.25 

17.48 

5.59 

13.17 

14.24 

0.9 

2354000 

5.525 

0.81 

7.24 

6.9 

22.13 

11.0 

1.1 

10.0 

0.2 

2355000 

9.536 

20.52 

11.78 

19.10 

26.77 

2.23 

3.87 

5.78 

31.8 

2356000 

13.548 

1.02 

16.33 

7.77 

31.4 

7.66 

6.55 

1.55 

31.0 

2357000 

2.693 

20.73 

1.73 

19.96 

36.05 

13.08 

9.24 

16.63 

30.3 

2358000 

6.704 

1.22 

6.27 

8.63 

2.42 

4.30 

11.92 

12.40 

29.6 

2359000 

10.716 

20.93 

10.81 

20.81 

7.06 

9.72 

14.60 

8.16 

28.9 

2360000 

14.727 

1.43 

15.35 

9.48 

11.70 

0.94 

2.62 

3.93 

28.2 

2361000 

3.872 

21.14 

0.75 

21.67 

16.35 

6.37 

5.30 

19.0 

27.5 

2362000 

7.884 

1.64 

5.30 

10.34 

20.99 

11.79 

7.99 

14.78 

26.8 

2363000 

11.895 

21.35 

9.84 

22.53 

25.63 

3.01 

10.67 

10.55 

26.1 

2364000 

1.041 

1.84 

14.38 

11.19 

30.28 

8.43 

13.35 

6.32 

25.4 

2365000 

5.052 

21.55 

18.92 

23.38 

34.92 

13.86 

1.37 

2.08 

24.7 

2366000 

9.063 

2.05 

4.32 

12.05 

1.28 

5.08 

4.05 

17.16 

24.0 

2367000 

13.074 

21.76 

8.87 

0.72 

5.92 

10.50 

6.74 

12.93 

23.3 

2368000 

2.220 

2.26 

13.41 

12.91 

10.57 

1.72 

9.42 

8.70 

22.6 

2369000 

6.231 

21.97 

17.95 

1.57 

15.21 

7.15 

12.10 

4.47 

21.9 

2370000 

10.242 

2.46 

3.35 

13.76 

19.86 

12.57 

0.12 

0.24 

21.2 

2371000 

14.253 

22.17 

7.89 

2.43 

24.50 

3.79 

2.80 

15.32 

20.5 

2372000 

3.399 

2.67 

12.44 

14.62 

29.14 

9.22 

5.48 

11.09 

19.8 

2373000 

7.410 

22.38 

16.98 

3.29 

33.78 

0.43 

8.17 

6.85 

19.1 

2374000 

11.422 

2.88 

2.38 

15.48 

0.15 

5.86 

10.85 

2.62 

18.4 

2375000 

0.567 

22.59 

6.93 

4.14 

4.79 

11.28 

13.53 

17.70 

17.7 

2376000 

4.579 

3.08 

11.46 

16.33 

9.43 

2.50 

1.55 

13.47 

16.9 

2377000 

8.590 

22.79 

16.01 

5.00 

14.08 

7.93 

4.23 

9.24 

16.2 

2378000 

12.601 

3.29 

1.41 

17.19 

18.72 

13.35 

6.92 

5.01 

15.5 

2379000 

1.747 

23.00 

5.95 

5.86 

23.36 

4.57 

9.60 

0.77 

14.8 

2380000 

5.758 

3.50 

10.49 

18.04 

28.01 

10.00 

12.28 

15.85 

14.1 

2381000 

9.769 

23.20 

15.03 

6.71 

32.65 

1.21 

0.30 

11.62 

13.4 

2382000 

13.780 

3.70 

0.43 

18.90 

37.29 

6.64 

2.98 

7.39 

12.7 

2383000 

2.926 

23.41 

4.98 

7.57 

3.65 

12.06 

5.66 

3.16 

12.0 

2384000 

6.937 

3.91 

9.52 

19.76 

8.30 

3.28 

8.35 

18.24 

11.3 

2385000 

10.949 

23.62 

14.06 

8.42 

12.94 

8.71 

11.03 

14.01 

10.6 

2386000 

0.094 

4.12 

18.61 

20.61 

17.58 

14.12 

13.71 

9.78 

9.9 

2387000 

4.106 

23.82 

4.00 

9.28 

22.23 

5.35 

1.73 

5.54 

9.2 

2388000 

8.117 

4.32 

8.55 

21.47 

26.87 

10.78 

4.41 

1.31 

8.5 

2389000 

12.128 

24.03 

13.09 

10.14 

31.51 

2.00 

7.10 

16.39 

7.8 

2390000 

1.274 

4.53 

17.63 

22.32 

36.16 

7.42 

9.78 

12.16 

7.1 

2391000 

5.285 

24.24 

3.03 

10.99 

2.52 

12.84 

12.46 

7.93 

6.4 

2392000 

9.296 

4.74 

7.58 

23.18 

7.16 

4.06 

0.48 

3.70 

5.7 

2393000 

13.307 

24.45 

12.12 

11.85 

11.80 

9.49 

3.16 

18.78 

5.0 

2394000 

2.453 

4.95 

16.66 

0.52 

16.45 

0.70 

5.84 

14.54 

4.3 

2395000 

6.464 

24.65 

2.06 

12.70 

21.09 

6.13 

8.53 

10.31 

3.6 

2396000 

10.476 

5.15 

6.60 

1.37 

25.73 

11.55 

11.21 

6.08 

2.8 

2397000 

14.487 

24.86 

11.15 

13.56 

30.38 

2.77 

13.89 

1.85 

2.1 

2398000 

3.633 

5.36 

15.69 

2.23 

35.02 

8.20 

1.91 

16.93 

1.4 

2399000 

7.644 

25.07 

1.09 

14.42 

1.38 

13.62 

4.59 

12.70 

0.7 

2400000 

11.655 

5.56 

5.63 

3.09 

6.02 

4.84 

7.28 

8.47 

0.0 

41 


TABLE  lib. 

Epochs  and  Arguments  for  ear.h  Thousandth  Day,  from  2400000  to  2500000. 

For  Washington  Mean  Noon. 


Juii2?  Period.       11       li'     y-u    (y-ll')    ARG.  1.     1'.       2.      2'. 

0.000 

0.000 

O       l< 

H 

O       H 

II 

d. 

d. 

2  100000 

354  3268.55 

-H).37 

25  1649.8 

-0.3 

27.0175339 

-1-0329 

7.505986 

-022 

2401000 

211  1097.01 

0.39 

78  1483.2 

0.3 

7.4991263 

0344 

21.335956 

023 

2102000 

67  2525.49 

0.41 

131  1316.6 

0.3 

15.5352726 

0359 

3.353990J   024 

2408000 

284  353.99 

0.42 

184  1149.9 

0.3 

23.5714205 

0375 

17.1839591   025 

2104000 

140  1782.50 

0.44 

237  983.3 

0.3 

4.0530174 

0390 

31.013926 

026 

2405000 

356  3211.03 

0.46 

290  816.7 

0.3 

12.0891684 

0405 

13.031957 

027 

2406000 

213  1039.58 

0.48 

343  650.0 

0.4 

20.1253208 

0421 

26.861922 

028 

2407000 

69  2468.14 

0.50 

36  483.3 

0.4 

0.6069224 

0436 

8.879951 

029 

2  108000 

286  296.72 

0.51 

89  316.6 

0.4 

8.6430779 

0452 

22.709914 

030 

2409000 

142  1725.32 

0.53 

142  149.9 

0.4 

16.6792349 

0467 

4.727941 

031 

2410000 

358  3153.94 

0.55 

194  3583.2 

0.4 

24.7153935 

0482 

18.557902 

032 

2411000 

215  982.57 

0.57 

247  3416.5 

0.4 

5.1970011 

0497 

0.575927 

033 

2412000 

71  2411.22 

0.59 

300  3249.8 

0.4 

13.2331628 

0512 

14.405886 

034 

2413000 

288  239.89 

0.60 

353  3083.0 

0.4 

21.2693259 

0528 

28.235845 

085 

2414000 

144  1668.57 

0.62 

46  2916.3 

0.4 

1.7509382 

0543 

10.253866 

036 

2415000 

0  3097.28 

0.63 

99  2749.5 

0.4 

9.7871044 

0558 

24.083823 

037 

2416000 

217  926.00 

0.65 

152  2582.7 

0.5 

17.8232722 

0574 

6.101842 

038 

2417000 

73  2354.73 

0.67 

205  2415.9 

0.5 

25.8594414 

0589 

19.931797 

039 

2418000 

290  183.49 

0.68 

258  2249.1 

0.5 

6.3410598 

0605 

1.949814 

040 

2419000 

146  1612.26 

0.70 

311  2082.3 

0.5 

14.3772322 

0620 

15.779767 

041 

2120000 

2  3041.05 

0.72 

4  1915.5 

0.5 

22.4134060 

0635 

29.609718 

042 

2421000 

219  869.85 

0.74 

57  1748.6 

0.5 

2.8950290 

0650 

11.627732 

043 

2422000 

75  2298.68 

0.76 

110  1581.8 

0.5 

10.9312059 

0665 

25.457682 

044 

2123000 

292  127.52 

0.77 

163  1414.9 

0.5 

18.9673844 

0681 

7.475694 

045 

2424000 

148  1556.38 

0.79 

216  1248.0 

0.5 

27.0035644 

0696 

21.305642 

046 

2425000 

4  2985.25 

0.80 

269  1081.1 

0.5 

7.4851935 

0711 

3.323652 

047 

2426000 

221  814.14 

0.82 

322  914.2 

0.6 

15.5213766 

0727 

17.153397 

048 

2427000 

77  2243.05 

0.84 

15  747.3 

0.6 

23.5575612 

0742 

30.983542 

019 

2428000 

294   71.98 

0.85 

68  580.4 

0.6 

4.0391949 

0758 

13.001549 

050 

2429000 

150  1500.93 

0.87 

121  413.5 

0.6 

12.0753826 

0773 

26.831491 

051 

2430000 

6  2929.89 

0.89 

174  246.5 

0.6 

20.1115718 

0788 

8.849497 

052 

2131000 

223  758.87 

0.91 

227   79.5 

0.6 

0.5932101 

0803 

22.679437 

053 

2  132000 

79  2187.86 

0.93 

279  3512.6 

0.6 

8.6294024 

0819 

4.697440 

05  I 

2  133000 

296   16.88 

0.94 

332  3345.6 

0.7 

16.6655962 

0834 

18.527379 

055 

2134000 

152  1445.91 

0.96 

25  3178.6 

0.7 

24.7017915 

0850 

0.545380 

056 

2  135000 

8  2874.96 

0.97 

78  3011.6 

0.7 

5.1834360 

0865 

14.375316 

057 

2  130000 

225  704.02 

0.99 

131  2844.5 

0.7 

13.2196344 

0880 

28.205251 

058 

8437000 

81  2133.10 

1.01 

184  2677.5 

0.7 

21.2558343 

0896 

10.223250 

059 

2488000 

297  3562.20 

1.02 

237  2510.5 

0.8 

1.7374834 

0911 

24463183 

060 

2489000 

154  1391.32 

1.04 

290  2313.1 

0.8 

9.7736864 

0927 

6.071179 

061 

2440000 

10  2820.46 

1.06 

343  2176.3 

0.8 

17.8098910 

0942 

19.901110 

062 

2111000 

227  649.61 

1.08 

36  2009.2 

0.8 

25.8460971 

0957 

1.919104 

063 

2442000 

S3  201  -v  7s 

1.10 

89  1842.1 

0.8 

6.3277523 

0972 

15.749033 

064 

2448000 

299  3507.97 

1.11 

142  1675.0 

0.8 

14.3639615 

0988 

29.57*96  1 

065 

2  1  1  1000 

156  1337.17 

1.13 

195  1507.9 

0.8 

22.4001722 

1003 

11.596952 

066 

•J  11  5000 

12  2766.39 

1.15 

248  1340.8 

0.8 

2.8818320 

1018 

25.426878 

067 

2  1  KiOOO 

229  595.63 

1.17 

301  1173.6 

0.9 

10.9180457 

1034 

7.444867 

068 

2447000 

85  202l.su 

1.19 

351  1006.5 

0.9 

18.95121!  11 

1049 

21.274791 

069 

2448000 

301  3454.16 

1.20 

47  839.3 

0.9 

26.91)0177!) 

1065 

8.292778 

070 

2449000 

15N  usjur, 

1.22 

100  672.1 

0.9 

7.472143!) 

1080 

17.122700    071 

2450000 

11  2712.76 

•+•1.24 

153  504.9 

-0.9 

15.50S3H3!) 

+  1095 

30.952622 

—072 

42 


TABLE  III. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


JuliMod.         H          ll'       y-U      (y-H')     ARG.  1.      1  '.         2.       »'. 

0.000 

0.000 

O       H 

• 

O       II 

y 

d. 

d. 

2450000 

14  2712.76 

-+-1.24 

153  504.9 

-0.9 

15.5083639 

+1095 

30.952622 

-072 

2451000 

231  542.09 

1.26 

206  337.7 

0.9 

23.5445853 

1110 

12.970606 

073 

245-2000 

87  1971.43 

1.28 

259  170.5 

0.9 

4.0262559 

1126 

26.800525 

074 

2453000 

303  3100.79 

1.29 

312    3.3 

0.9 

12.0624804 

1141 

8.818507 

075 

2451000 

160  1230.17 

1.31 

4  3436.0 

0.9 

20.0987065 

1157 

22.648424 

076 

2455000 

16  2659.56 

1.32 

57  3268.8 

0.9 

0.5803817 

1172 

4.666404 

077 

2  156000 

233  488.97 

1.34 

110  3101.5 

1.0 

8.6166109 

1187 

18.496319 

078 

2457000 

89  1918.40 

1.36 

163  2934.2 

1.0 

16.6528416 

1203 

0.514296 

079 

2458000 

305  3347.85 

1.37 

216  2766.9 

1.0 

24.6890738 

1218 

14.314209 

080 

2459000 

162  1177.32 

1.39 

269  2599.6 

1.0 

5.1707552 

1234 

28.174121 

081 

2460000 

18  2606.80 

1.41 

322  2432.3 

1.0 

13.2069906 

1249 

10.192097 

082 

2461000 

235  436.30 

1.43 

15  2265.0 

1.0 

21.2432275 

1264 

24.022007 

083 

2162000 

91  1865.82 

1.45 

68  2097.6 

1.0 

1.7249134 

1280 

6.039980 

084 

2463000 

307  8295.35 

1.46 

121  1930.3 

1.0 

9.7611534 

1295 

19.869887 

085 

2464000 

164  1124.90 

1.48 

174  1762.9 

1.0 

17.7973949 

1311 

1.887858 

086 

2465000 

20  2554.47 

1.49 

227  1595.6 

1.0 

25.8336379 

1326 

15.717764 

087 

2466000 

237  384.05 

1.51 

280  1428.2 

1.1 

6.3153300 

1341 

29.547669 

088 

2467000 

93  1813.66 

1.53 

333  1260.8 

1.1 

14.3515761 

1357 

11.565637 

089 

2468000 

309  3243.28 

1.54 

26  1093.4 

1.1 

22.3878238 

1372 

25.395539 

090 

2169000 

166  1072.92 

1.56 

79  925.9 

1.1 

2.8695206 

1388 

7.413505 

091 

2470000 

22  2502.58 

1.58 

132  758.5 

1.1 

10.9057714 

1403 

21.243406 

092 

2471000 

239  332.25 

1.60 

185  591.0 

1.1 

18.9420237 

1418 

3.261370 

093 

2  172000 

95  1761.94 

1.62 

238  423.6 

1.1 

26.9782775 

1434 

17.091268 

094 

2473000 

311  3191.65 

1.63 

291  256.1 

1.1 

7.4599805 

1449 

30.921166 

095 

2474000 

168  1021.37 

1.65 

344   88.6 

1.1 

15.4962374 

1465 

12.939127 

096 

2475000 

24  2451.11 

1.67 

36  3521.1 

1.1 

23.5324959 

1480 

26.769022 

097 

2176000 

241  280.87 

1.69 

89  3353.6 

1.2 

4.0142035 

1496 

8.786981 

099 

2477000 

97  1710.65 

1.71 

142  3186.1 

1.2 

12.0504650 

1512 

22.616874 

100 

2478000 

313  3140.44 

1.72 

195  3018.6 

1.2 

20.0867281 

1527 

4.634831 

101 

2479000 

170  970.26 

1.74 

248  2851.0 

1.2 

0.5684403 

1543 

18.464723 

102 

2480000 

26  2100.09 

1.76 

301  2683.4 

1.2 

8.6047066 

1558 

0.482677 

103 

2481000 

243  229.94 

1.78 

354  2515.9 

1.2 

16.6409743 

1573 

14.312566 

104 

2482000 

99  1659.80 

1.80 

47  2348.3 

1.2 

24.6772436 

1589 

28.142454 

105 

2483000 

315  3089.69 

1.81 

100  2180.7 

1.3 

5.1589620 

1604 

10.160106 

106 

2484000 

172  919.59 

1.83 

153  2013.1 

1.3 

13.1952344 

1620 

23.990294 

107 

2485000 

28  2349.50 

1.84 

206  1845.5 

1.3 

21.2315084 

1635 

6.008243 

108 

2486000 

245  179.44 

1.86 

259  1677.8 

1.3 

1.7132314 

1651 

19.838127 

109 

2487000 

101  1609.39 

1.88 

312  1510.2 

1.4 

9.7495084 

1667 

1.856075 

110 

2488000 

317  3039.36 

1.89 

5  1342.5 

1.4 

17.7857870 

1682 

15.685956 

111 

2489000 

171  869.35 

1.91 

58  1174.9 

1.4 

25.8220671 

1698 

29.515837 

112 

2490000 

30  2299.35 

1.93 

111  1007.2 

1.4 

6.3037963 

1713 

11.533782 

113 

2491000 

247   129.37 

1.95 

164  839.5 

1.4 

14.3400795 

1728 

25.363662 

114 

2492000 

103  1559.41 

1.97 

217  671.8 

1.4 

22.3763642 

1744 

7.381605 

115 

2193000 

319  2989.47 

1.98 

270  504.  1 

1.4 

2.8580981 

1759 

21.211481 

116 

2494000 

176  819.54 

2.00 

323  336.3 

1.4 

10.8943860 

1775 

3.229422 

117 

2495000 

32  2249.63 

2.02 

16  168.6 

1.5 

18.9306754 

1790 

17.059297 

118 

2496000 

249   79.74 

2.04 

69    0.8 

1.5 

26.9669663 

1805 

30.889171 

119 

2197000 

105  1509.87 

2.06 

121  3433.1 

1.5 

7.4487064 

1821 

12.907108 

120 

2498000 

321  2940.01 

2.07 

174  3265.3 

1.5 

15.4850004 

1836 

26.736981 

121 

2199000 

178  770.17 

2.09 

227  3097.5 

1.5 

23.5212960 

1852 

8.754916 

122 

2500000 

34  2220.35 

+2.11 

280  2929.7 

—  1.5 

4.0030408 

+1867 

22.584786 

—123 

43 


TABLE  II&. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


juiKriod.   ARG.  3.    3'.     4.      S.    5'.    6.     7.     8.     9. 

0.0000 

0.00 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

2400000 

25.523420 

+08 

45.9880 

319.7423 

-1-03 

13.0559 

6.8500 

1.6577 

3.2226 

2401000 

21.483436 

08 

315.4686 

84.3872 

04 

2.4961 

7.0233 

1.4824 

19.7294 

240-2000 

17.4  13  I.V2 

08 

219.6896 

260.8172 

04 

26.7831 

7.1967 

1.3071 

6.4331 

2403000 

13.403468 

09 

123.9105 

25.4621 

04 

16.2232 

7.3700 

1.13H 

2-2.9401 

2404000 

9.363485 

09 

28.1314 

201.8922 

04 

5.6633 

7.5434 

0.9566 

9.6441 

2405000 

5.323502 

09 

297.6121 

378.3224 

04 

29.9503 

7.7167 

0.7813 

26.1509 

2406000 

1.283520 

10 

201.8330 

142.9673 

05 

19.3904 

7.8901 

0.6060 

12.8549 

2407000 

26.774125 

10 

106.0540 

319.3975 

05 

8.8305 

8.0634 

0.4307 

29.3617 

2408000 

22.734144 

10 

10.2749 

84.0425 

05 

33.1175 

8.2368 

0.2555 

18.0657 

2409000 

18.694162 

11 

279.7555 

260.4727 

05 

22.5576 

8.4101 

0.0802 

2.7696 

2410000 

14.654181 

11 

183.9765 

25.1177 

05 

11.9977 

8.5835 

15.2922 

19.2765 

2411000 

10.614200 

11 

88.1974 

201.5479 

05 

1.4377 

8.7569 

15.1169 

5.9805 

2412000 

6.574220 

12 

357.6780 

377.9782 

06 

25.7247 

8.9302 

14.9416 

2-2.4873 

2413000 

2.534239 

12 

261.8990 

142.6233 

06 

15.1648 

9.1036 

14.7664 

9.1912 

2414000 

28.024848 

12 

166.1199 

319.0535 

06 

4.6049 

9.2769 

14.5911 

25.6981 

2415000 

23.984868 

13 

70.3408 

83.6987 

06 

28.8919 

9.4503 

14.4158 

12.4021 

2416000 

19.944889 

13 

339.8215 

260.  1290 

06 

18.3320 

0.0100 

14.2405 

28.9088 

2417000 

15.904910 

13 

244.0424 

24.7742 

07 

7.7721 

0.1833* 

14.0652 

15.61-27 

2418000 

11.864932 

14 

148.2634 

201.2045 

07 

32.0591 

0.3567 

13.8900 

2.3168 

2419000 

7.824954 

14 

52.4843 

377.6349 

07 

21.4992 

0.5300 

13.7147 

18.8237 

2420000 

3.784977 

15 

321.9649 

142.2801 

07 

10.9393 

0.7034 

13.5394 

5.5277 

2421000 

29.275587 

15 

226.1859 

318.7105 

07 

0.3793 

0.8768 

13.3641 

22.0!!  15 

2422000 

25.235610 

15 

130.4068 

83.3557 

07 

24.6663 

1.0501 

13.1888 

8.7385 

2  1-23000 

21.195634 

16 

34.6277 

259.7862 

08 

14.1064 

1.2235 

13.0136 

25.2454 

2424000 

17.155657 

16 

304.1084 

24.4315 

08 

3.5465 

1.3969 

12.8383 

11.9494 

2425000 

13.115681 

16 

208.3293 

200.8620 

08 

27.8335 

1.5702 

12.6630 

28.4562 

2426000 

9.075706 

17 

112.5502 

377.2924 

08 

17.2735 

1.7436 

12.4877 

15.1602 

2427000 

5.035731 

17 

16.7712 

141.9378 

08 

6.7136 

1.9170 

12.3124 

1.8642 

2428000 

0.995756 

17 

286.2518 

318.3683 

08 

31.0006 

2.0903 

12.1372 

18.3710 

2429000 

26.486369 

18 

190.4728 

83.0137 

09 

20.4407 

2.2637 

11.9619 

5.0750 

2430000 

22.446395 

18 

94.6937 

259.4443 

09 

9.8807 

2.4371 

11.7866 

21.5819 

2431000 

18.406421 

18 

364.1743 

24.0897 

09 

31.1677 

2.6105 

11.6113 

8.2859 

2432000 

14.366448 

19 

268.3953 

2(10.5203 

09 

23.6078 

2.7838 

11.4360 

24.7928 

3489000 

10.326475 

19 

172.6162 

376.9509 

09 

13.0179 

2.9572 

11.2608 

11.4968 

2  134000 

6.286502 

19 

76.8371 

141.5964 

10 

2.4879 

3.1306 

11.0855 

28.0036 

2435000 

2.246530 

20 

346.3178 

318.0270 

10 

26.7749 

3.3039 

'10.9102 

14.7076 

2436000 

27.737146 

20 

250.5387 

82.6725 

10 

16.2150 

3.4773 

10.7349 

1.4117 

2437000 

23.697174 

21 

154.7596 

259.1032 

10 

5.6550 

3.6507 

10.55!)<; 

17.9185 

2438000 

19.657203 

21 

58.9806 

23.7488 

10 

29.9420 

3.8240 

10.3N  1  1 

4.6-225 

2439000 

15.617232 

21 

328.4612 

200.1795 

10 

19.3821 

3.9974 

10.20!ll 

21.1294 

2440000 

11.577261 

22 

232.6822 

376.6103 

11 

8.8221 

4.1708 

10.0338 

7.8335 

2411000 

7.537291 

22 

136.9031 

141.2559 

11 

33.1091 

4.3443 

9.8585 

24.3103 

•2  1  1-2000 

3.497321 

22 

41.1240 

317.6866 

11 

22.5-491 

4.5176 

9.6832 

11.0443 

•2  II.  •{()()() 

28.987940 

23 

310.6047 

H-2.:  U3-23 

11 

11.9892 

4.6910 

9.5080 

27.5512 

2444000 

24.947970 

23 

214.8256 

258.7631 

11 

1.4292 

4.8643 

9.3327 

14.255-2 

2446000 

20.908002 

23 

119.0465 

23.4087 

12 

25.7162 

5.0377 

9.1574 

0.9593 

3446000 

16.H(iNo:i:t 

21 

23.2675 

199.8396 

12 

15.1562 

5.2111 

8.9822 

17.4661 

•2  1  17000 

12.828065 

24 

292.7481 

376.2705 

12 

4.5968 

5.38  1  1 

8.8069 

4.1702 

3448000 

8.78M»;r, 

24 

196.9690 

140.!)  1(1-2 

12 

2K.8N33 

5.5578 

8.6317 

20.6770 

2  1  litOOO 

4.74si:to 

25 

101.1900 

317.3171 

13 

18.3-233 

5.731  '2 

8.4564 

7.3811 

'2  l.')0000 

0.708163 

-(-25 

5.4109 

81.9929 

+12 

7.7634 

5.9016 

8.2811 

23.8880 

44 


TABLE  116. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


juiKiod.   ARG.  3.    3'.     4.      5.    5.    6.     7.     8.     9. 

d. 

0.0000 

d. 

d. 

0.00 

d. 

d. 

d. 

d. 

2450000 

0.708163 

+25 

5.4109 

81.9929 

-t-12 

7.7634 

5.9046 

8.2811 

23.8880 

2451000 

26.198784 

25 

274.8916 

258.4238 

13 

32.0503 

6.0780 

8.1058 

10.5921 

2452000 

22.158818 

26 

179.1125 

23.0696 

13 

21.4904 

6.2514 

7.9305 

27.0989 

2453000 

18.118852 

26 

83.3334 

199.5006 

13 

10.9304 

6.4248 

7.7553 

13.8030 

2454000 

14.078886 

27 

352.8141 

375.9316 

13 

0.3705 

6.5982 

7.5800 

0.5070 

2455000 

10.038921 

27 

257.0350 

140.5774 

13 

24.6574 

6.7716 

7.4047 

17.0139 

2456000 

5.998956 

27 

161.2559 

317.0084 

13 

14.0975 

6.9449 

7.2295 

3.7180 

2457000 

1.958991 

.  28 

65.4769 

81.6543 

14 

3.5375 

7.1183 

7.0542 

20.2248 

2458000 

27.449615 

28 

334.9575 

258.0854 

14 

27.8245 

7.2917 

6.8790 

6.9289 

2459000 

23.409651 

28 

239.1784 

22.7313 

14 

17.2645 

7.4651 

6.7037 

23.4358 

2460000 

19.369687 

29 

143.3994 

199.1625 

14 

6.7045 

7.6385 

6.5284 

10.1399 

2461000 

15.329724 

29 

47.6203 

375.5936 

14 

30.9915 

7.8119 

6.3531 

26.6467 

2462000 

11.289761 

29 

317.1010 

140.2396 

15 

20.4315 

7.9853 

6.1779 

13.3508 

2463000 

7.249799 

30 

221.3219 

316.6707 

15 

9.8716 

8.1587 

6.0026 

0.0549 

2464000 

3.209837 

30 

125.5428 

81.3167 

15 

34.1585 

8.3321 

5.8274 

16.5618 

2465000 

28.700463 

30 

29.7638 

257.7479 

15 

23.5985 

8.5055 

5.6521 

3.2659 

2466000 

24.660502 

31 

299.2444 

22.3940 

15 

13.0386 

8.6789 

5.4768 

19.7728 

2467000 

20.620541 

31 

203.4653 

198.8252 

15 

2.4786 

8.8523 

5.3016 

6.4768 

2468000 

16.580580 

32 

107.6863 

375.2564 

16 

26.7655 

9.0257 

5.1263 

22.9837 

2469000 

12.540620 

32 

11.9072 

139.9025 

16 

16.2056 

9.1991 

4.9511 

9.6878 

2470000 

8.500660 

32 

281.3878 

316.3339 

16 

5.6456 

9.3725 

4.7758 

26.1947 

2471000 

4.460700 

33 

185.6088 

80.9800 

16 

29.9325 

9.5459 

4.6005 

12.8988 

2472000 

0.420741 

33 

89.8297 

257.4113 

16 

19.3725 

0.1056 

4.4253 

29.4057 

2473000 

25.911370 

33 

359  3104 

22.0575 

17 

8.8126 

0.2790 

4.2500 

16.1098 

2474000 

21.871411 

34 

263.5313 

198.4889 

17 

33.0995 

0.4524 

4.0748 

2.8139 

2475000 

17.831453 

34 

167.7522 

374.9202 

17 

22.5395 

0.6258 

3.8995 

19.3208 

2476000 

13.791495 

34 

71.9732 

139.5665 

17 

11.9796 

0.7993 

3.7242 

6.0249 

2477000 

9.751538 

35 

341.4538 

315.9979 

17 

1.4196 

0.9727 

3.5490 

22.5318 

2478000 

5.711581 

35 

245.6747 

80.6441 

17 

25.7065 

1.1461 

3.3737 

9.2359 

2479000 

1.671624 

35 

149.8957 

257.0756 

18 

15.1465 

1.3195 

3.1985 

25.7428 

2480000 

27.162255 

36 

54.1166 

21.7220 

18 

4.5865 

1.4929 

3.0232 

12.4470 

2481000 

23.122299 

36 

323.5972 

198.1534 

18 

28.8734 

1.6663 

2.8479 

28.9539 

2482000 

19.082343 

36 

227.8182 

374.5849 

18 

18.3135 

1.8397 

2.6727 

15.6580 

2483000 

15.042388 

37 

132.0391 

139.2313 

18 

7.7535 

2.0131 

2.4974 

2.3621 

2484000 

11.002433 

37 

36.2601 

315.6628 

19 

32.0404 

2.1865 

2.3222 

18.8690 

2485000 

6.962478 

38 

305.7407 

80.3092 

19 

21.4804 

2.3599 

2.1469 

5.5731 

2486000 

2.922524 

38 

209.9616 

256.7408 

19 

10.9204 

2.5334 

1.9716 

22.0800 

2487000 

28.413158 

38 

114.1826 

21.3872 

19 

0.3604 

2.7068 

1.7964 

8.7841 

2488000 

24.373205 

39 

18.4035 

197.8188 

19 

24.6473 

2.8802 

1.6211 

25.2911 

2489000 

20.333251 

39 

287.8841 

374.2504 

19 

14.0874 

3.0536 

1.4459 

11.9952 

2490000 

16.293298 

39 

192.1051 

138.8970 

20 

3.5274 

3.2270 

1.2706 

28.5021 

2491000 

12.253346 

40 

96.3260 

315.3287 

20 

27.8143 

3.4004 

1.0953 

15.2063 

2492000 

8.213394 

40 

0.5470 

79.9752 

20 

17.2543 

3.5738 

0.9201 

1.9104 

2493000 

4.173442 

40 

270.0276 

256.4069 

20 

6.6943 

3.7472 

0.7448 

18.4173 

2494000 

0.133490 

41 

174.2485 

21.0534 

20 

30.9812 

3.9207 

0.5696 

5.1215 

2495000 

25.624127 

41 

78.4695 

197.4851 

20 

20.4212 

4.0941 

0.3943 

21.6284 

2496000 

21.584177 

41 

347.9501 

373.9169 

21 

9.8612 

4.2675 

0.2191 

8.3325 

2497000 

17.544226 

42 

252.1710 

138.5635 

21 

34.1481 

4.4410 

0.0439 

24.8395 

2498000 

13.504276 

42 

156.3920 

314.9953 

21 

23.5881 

4.6144 

15.2559 

11.5436 

2499000 

9.464326 

43 

60.6129 

79.6419 

21 

13.0281 

4.7878 

15.0807 

28.0505 

2500000 

5.424377 

-(-43 

330.0935 

256.0737 

+21 

2.4681 

4.9612 

14.9054 

14.7547 

45 


TABLE  lib. 


Epochs  and  Arguments  for  eacli  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


«£Kk  Aao'O.    11.     12.      13.     14.     15.     16.    17. 

d. 

d. 

d 

d. 

d. 

d. 

d 

d 

2400000 

22.0856 

18.9090 

37.9433 

0.4102 

3.527 

12.792 

7.228 

13.489 

2401000 

22.8395 

24.4122 

344.7031 

2.0351 

8.575 

5.188 

9.435 

2.587 

2402000 

23.5934 

3.0372 

304.8427 

3.6600 

13.624 

11.775 

11.642 

19.006 

2  103000 

24.3473 

8.5404 

264.9823 

5.2849 

18.672 

•4.171 

13849 

8104 

2404000 

25.1011 

14.0436 

225.1219 

6.9098 

23.721 

10.758 

1.802 

24.524 

2405000 

0.2333 

19.5469 

185.2615 

8.5347 

28.769 

3.153 

4.010 

13.621 

2406000 

0.9872 

25.0501 

145.4010 

0.0751 

4.555 

9.741 

6.217 

2.719 

2407000 

1.7410 

3.6751 

105.5406 

1.7000 

9.604 

2.136 

H.  12  1 

19.139 

2408000 

2.4949 

9.1783 

65.6802 

3.3249 

14.652 

8.724 

10.631 

8.237 

2409000 

3.2488 

14.6815 

25.8198 

4.9498 

19.700 

1.119 

12.838 

24.657 

2410000 

4.0027 

20.1848 

332.5795 

6.5747 

24.749 

7.706 

0.791 

13.754 

2411000 

4.7566 

25.6880 

292.7191 

8.1996 

0.534 

0.102 

2.998 

2.852 

2412000 

5.5105 

4.3129 

252.8586 

9.8245 

5.582 

6.689 

5.205 

19.271 

2113000 

6.2644 

9.8162 

212.9982 

1.3648 

10.631 

13.277 

7.412 

8.369 

2414000 

7.0183 

15.3194 

173.1378 

2.9897 

15.679 

5.672 

9.619 

24.789 

2415000 

7.7721 

20.8226 

133.2774 

4.6146 

20.728 

12.260 

11.826 

13.887 

2416000 

8.5260 

26.3259 

93.4169 

6.2396 

25.776 

4.655 

14.033 

2.985 

2417000 

9.2799 

4.9508 

53.5565 

7.8645 

1.561 

11.243 

1.986 

19.404 

211HOOO 

10.0338 

10.4540 

13.6961 

9.4894 

6.610 

3.638 

4.193 

8.502 

2419000 

10.7877 

15.9572 

320.4557 

1.0297 

11.658 

10.225 

6.401 

24.922 

2420000 

11.5416 

21.4605 

280.5952 

2.6546 

16.707 

2.621 

8.608 

14.0?0 

2421000 

12.2955 

0.0854 

240.7348 

4.2795 

21.755 

9.208 

10.815 

3.117 

3422000 

13.0194 

5.5886 

200.8743 

5.9044 

26.804 

1.604 

13.022 

19.537 

2  123000 

13.8033 

11.0918 

161.0139 

7.5293 

2.589 

8.191 

0.975 

8.635 

2424000 

14.5572 

16.5950 

121.1534 

9.1542 

7.638 

0.587 

3.182 

25.055 

2425000 

15.3111 

22.0983 

81.2930 

0.6945 

12.686 

7.174 

5.389 

14.152 

2426000 

16.0650 

0.7232 

41.4325 

2.3195 

17.735 

13.762 

7.596 

3.2M 

2  127000 

16.8189 

6.2264 

01.5720 

3.9444 

22.  7  S3 

6.157 

9.803 

19.670 

2  128000 

17.5728 

11.7296 

308.3317 

5.5693 

27.831 

12.745 

12.010 

8.768 

2  129000 

18.3267 

17.2328 

268.4712 

7.1942 

3.617 

5.140 

14.217 

25.188 

2430000 

19.0806 

22.7360 

228.6107 

8.8191 

8.665 

11.727 

2.171 

14485 

2131000 

19.83  1:> 

1.3609 

188.7503 

0.3594 

13.713 

4.123 

4.878 

3.383 

2432000 

20.5884 

6.8641 

148.8898 

1.9843 

18.762 

10.710 

6.585 

19.802 

2133000 

21.3423 

12.3(173 

109.0293 

3.6092 

23.810 

3.10(i 

8.793 

8.900 

2131000 

22.0963 

17.8706 

69.1688 

5.23  1  1 

28.859 

9.693 

10.999 

25.320 

2435000 

22.8502 

23.3738 

29.3083 

6.8590 

4.641 

2.088 

13.206 

14.418 

2436000 

23.6041 

1.9987 

336.0679 

8.4840 

9.693 

8.676 

1,159 

3.516 

2  137000 

21.3581 

7.5019 

296.2075 

0.02  13 

11.711 

1.071 

8.366 

19.935 

2138000 

25.1120 

13.0051 

256.3470 

1.6192 

19.790 

7.659 

5.573 

9.083 

2  139000 

0.2112 

18.5083 

216.4865 

3.27  1  1 

24.838 

0.054 

7.780 

25.453 

2  1  10000 

0.9981 

24.0115 

176.6260 

4.8990 

0.625 

6.612 

9.988 

I4.r.5i 

2411000 

1.7520 

3.6861 

136.7655 

6.5239 

5.679 

13.229 

12.195 

8.648 

2112000 

2.5059 

8.1395 

96.9050 

N.I  IN-, 

10.720 

6.624 

0.148 

20.0CN 

2  1  KiOOO 

3.2599 

13.<i  127 

57.011: 

9.7737 

L5.7ffl 

12.212 

2.855 

9.106 

2  1  1  1000 

4.0138 

19.1459 

17.1840 

1.3140 

20.817 

4.607 

4.562 

25.586 

2445000 

4.7677 

34.6491 

323.9436 

2.9389 

25.866 

11.195 

6.769 

14.683 

21  KiOOO 

5..  V2  17 

.'(.27  l( 

884.0884 

4.5639 

1.65] 

3.r>!)0    S.976 

.'{.781 

2  1  17000 

6.2756 

N.7772 

244.222: 

6.1888 

6.69) 

10.177    11.IN3 

20.201 

3448000 

7.0294 

14.2804 

804.8834 

7.8137 

11.718 

2.573    13.3il() 

9.299 

211(1000 

7.7888 

19.7*::ii    H;  1.5014 

9.4384 

16.796 

9.160 

1.844 

25.718 

2  I  :.()(  MM) 

25.2868 

124.6409 

0.9789 

21.844 

1.556 

3.551 

11.NJ6 

46 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


-.«-"  •••  "  -  "  «•  •«  - 

d. 

d. 

d 

d. 

d. 

d. 

d. 

d. 

2150000 

8.5374 

25.2868 

124.6409 

0.9789 

21.844 

1.556 

3.551 

14.816 

2451000 

9.2913 

3.9117 

84.7804 

2.6038 

26.892 

8.143 

5.758 

3.914 

2452000 

10.0453 

9.4148 

44.9198 

4.2287 

2.678 

0.539 

7.965 

20.334 

2453000 

10.7992 

14.9180 

5.0593 

5.8536 

7.726 

7.126 

10.172 

9.431 

2454000 

11.5532 

20.4212 

311.8189 

7.4785 

12.775 

13.714 

12.379 

25.851 

2455000 

12.3071 

25.9244 

271.9583 

9.1034 

17.823 

6.109 

0.332 

14.949 

2456000 

13.0611 

4.5492 

232.0978 

0.6438 

22.871 

12.697 

2.539 

4.047 

2457000 

13.8150 

10.0524 

192.2372 

2.2687 

27.920 

5.092 

4.746 

20.466 

2458000 

14.5690 

15.5556 

152.3767 

3.8936 

3.705 

11.680 

6.953 

9.564 

2459000 

15.3229 

21.0588 

112.5161 

5.5185 

8.753 

4.073 

9.160 

25.984 

2460000 

16.0769 

26.5619 

72.6556 

7.1434 

13.802 

10.662 

11.368 

15.082 

2461000 

16.8309 

5.1868 

32.7950 

8.7683 

18.851 

3.058 

13.575 

4.180 

2462000 

17.5848 

10.6900 

339.5545 

0.3086 

23.899 

9.645 

1.528 

20.599 

2463000 

18.3388 

16.1931 

299.6940 

1.9335 

28.947 

2.041 

3.735 

9.697 

2464000 

19.0927 

21.6963 

259.8334 

3.5584 

4.733 

8.628 

5.943 

26.117 

2465000 

19.8467 

0.3212 

219.9729 

5.1833 

9.781 

1.024 

8.150 

15.214 

2466000 

20.6007 

5.8243 

180.1123 

6.8082 

14.829 

7.611 

10.357 

4.312 

2467000 

21.3546 

11.3275 

140.2517 

8.4331 

19.878 

0.007 

12.564 

20.732 

2468000 

22.1086 

16.8307 

100.3911 

10.0580 

24.926 

6.594 

0.517 

9.830 

2469000 

22.8625 

22.3338 

60.5306 

1.5983 

0.711 

13.182 

2.724 

26.250 

2470000 

23.6165 

0.9587 

20.6699 

3.2232 

5.760 

5.577 

4.931 

15.347 

2471000 

24.3705 

6.4618 

327.4295 

4.8481 

10.808 

12.165 

7.138 

4.445 

2472000 

25.1245 

11.9650 

287.5689 

6.4730 

15.857 

4.560 

9.345 

20.865 

2473000 

0.2568 

17.4681 

247.7083 

8.0979 

20.905 

11.148 

11.552 

9.963 

2474000 

1.0107 

22.9713 

207.8477 

9.7228 

25.954 

3.543 

13.760 

26.383 

2475000 

1.7647 

1.5961 

167.9871 

1.2631 

1.739 

10.130 

1.713 

15.480 

2476000 

2.5187 

7.0993 

128.1265 

2.8881 

6.787 

2.526 

3.920 

4.578 

2477000 

3.2727 

12.6024 

88.2659 

4.5130 

11.836 

9.113 

6.127 

20.998 

2478000 

4.0266 

18.1056 

48.4053 

6.1379 

16.884 

1.509 

8.334 

10.095 

2479000 

4.7806 

23.6087 

8.5447 

7.7628 

21.932 

8.096 

10.542 

26.515 

2480000 

5.5346 

2.2336 

315.3042 

9.3877 

26.981 

0.492 

12.748 

15.613 

2481000 

6.2886 

7.7367 

275.4436 

0.9280 

2.766 

7.079 

0.702 

4.711 

2482000 

7.0426 

13.2399 

235.5830 

2.5529 

7.814 

13.667 

2.909 

21.130 

2483000 

7.7965 

18.7430 

195.7223 

4.1778 

12.863 

6.062 

5.116 

10.228 

2484000 

8.5506 

24.2462 

155.8617 

5.8027 

17.911 

12.650 

7.323 

26.648 

2485000 

9.3046 

2.8710 

116.0011 

7.4276 

22.960 

5.045 

9.530 

15.746 

2486000 

10.0585 

8.3742 

76.1405 

9.0525 

28.008 

11.632 

11.737 

4.844 

2487000 

10.8125 

13.8773 

36.2799 

0.5928 

3.793 

4.028 

13.945 

21.263 

2488000 

11.5665 

19.3804 

343.0394 

2.2177 

8.842 

10.615 

1.898 

10.361 

2489000 

12.3205 

24.8836 

303.1787 

3.8426 

13.890 

3.011 

4.105 

26.781 

2490000 

13.0745 

3.5084 

263.3181 

5.4675 

18.939 

9.598 

6.312 

15.879 

2191000 

13.8285 

9.0115 

223.4575 

7.0924 

23.987 

1.994 

8.519 

4.977 

2492000 

14.5825 

14.5147 

183.5968 

8.7173 

29.035 

8.581 

10.726 

21.396 

2493000 

15.3365 

20.0178 

143.7362 

0.2576 

4.821 

0.977 

12.933 

10.494 

2494000 

16.0905 

25.5209 

103.8755 

1.8825 

9.869 

7.564 

0.887 

26.914 

2495000 

16.8445 

4.1458 

64.0149 

3.5074 

14.917 

14.151 

3.094 

16.011 

2496000 

17.5985 

9.6489 

24.1542 

5.1324 

19.966 

6.547 

5.301 

5.109 

2497000 

18.3525 

15.1520 

330.9137 

6.7573 

25.014 

13.134 

7.508 

21.529 

2498000 

19.1065 

20.6551 

291.0530 

8.3822 

0.799 

5.530 

9.715 

10.627 

2499000 

19.8605 

26.1583 

251.1924 

10.0071 

5.848 

12.117 

11.922 

27.047 

2500000 

20.6145 

4.7831 

211.3316 

1.5474 

10.896 

4.513 

14.129 

16.144 

47 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


juiSS'pSriod.  AEG-  18>     1O-        2O>        2I-       22>        23-        24>       25-       2G- 

2400000 

8.137 

d. 

18.503 

12.791 

118.93 

<]. 
3.342 

10.320 

d. 

8.124 

5.633 

d. 
2.449 

2401000 

1.031 

22.113 

10.580 

65.56 

7.371 

11.786 

12.386 

3.345 

0.961 

2402000 

3.798 

1.421 

8.368 

12.19 

11.400 

13.252 

3.373 

1.057 

5.295 

2403000 

6.564 

5.031 

6.156 

90.49 

15.430 

14.718 

7.636 

8.137 

3.807 

2404000 

9.332 

8.641 

3.944 

37.12 

19.459 

16.183 

11.898 

5.850 

2.319 

2  105000 

2.225 

12.251 

1.733 

115.43 

23.488 

17.649 

2.885 

3.563 

0.831 

2406000 

4.993 

15.861 

13.838 

62.06 

27.518 

19.115 

7.148 

1.275 

5.165 

2407000 

7.759 

19.471 

11.626 

8.69 

31.547 

20.580 

11.410 

8.355 

3.677 

240SOOO 

0.653 

23.081 

9.414 

86.99 

:i.  i  is 

22.046 

2.396 

6.068 

2.189 

2409000 

3.420 

2.389 

7.202 

33.62 

7.478 

23.512 

6.659 

3.780 

0.700 

2410000 

6.188 

5.999 

4.991 

111.93 

11.507 

1.203 

10.921 

1.493 

5035 

2411000 

8.954 

9.610 

2.779 

58.56 

15.536 

2.669 

1.908 

8.573 

3.547 

2412000 

1.848 

13.220 

0.567 

5.19 

19.566 

4.135 

6.171 

6.285 

2.059 

2413000 

4.615 

16.830 

12.672 

83.49 

23.595 

5.600 

10.433 

3.998 

0.571 

2414000 

7.382 

20.440 

10.461 

30.12 

27.624 

7.066 

1.419 

1.711 

4.905 

2115000 

0.276 

24.050 

8.249 

108.42 

31.654 

8.532 

5.682 

8.790 

3.417 

2416000 

3.043 

3.358 

6.037 

55.05 

3.555 

9.997 

9.945 

6.503 

1.929 

2417000 

5.810 

6.968 

3.825 

1.69 

7.584 

11.463 

0.931 

4.216 

0.440 

2418000 

8.577 

10.578 

1.613 

79.99 

11.614 

12.928 

5.194 

1.928 

4.775 

2419000 

1.471 

14.188 

13.718 

26.62 

15.6*3 

14.394 

9.456 

9.008 

3.287 

2420000 

4.238 

17.798 

11.507 

104.93 

19.672 

15.860 

0.442 

6.721 

1.799 

2421000 

7.004 

21.408 

9.295 

51.56 

23.702 

17.326 

4.705 

4.434 

0.311 

2422000 

9.771 

0.716 

7.083 

129.86 

27.731 

18.792 

8.968 

2.146 

4.615 

24-23000 

2.666 

4.326 

4.871 

76.49 

31.760 

20.258 

13.230 

9.226 

3.157 

2424000 

5.433 

7.936 

2.660 

23.12 

3.662 

21.723 

4.217 

6.938 

1.669 

2425000 

8.199 

11.547 

0.448 

101.43 

7.691 

23.189 

8.479 

4.651 

0.181 

2426000 

1.093 

15.157 

12.553 

48.06 

11.720 

0.880 

12.741 

2.364 

4.515 

2427000 

3.860 

18.767 

10.342 

126.36 

15.750 

2.315 

3.728 

0.077 

3.027 

2428000 

6.627 

22.377 

8.130 

72.99 

19.779 

3.811 

7.991 

7.156 

1.539 

2429000 

9.394 

1.685 

5.918 

19.63 

23.808 

5.277 

12.253 

4.869 

5.874 

2430000 

2.288 

5.295 

3.706 

97.93 

27.838 

6.743 

3.240 

2.582 

4.385 

2431000 

5.055 

8.905 

1.494 

44.56 

31.867 

8.209 

7.503 

0.29  4 

2.897 

2432000 

7.822 

12.516 

13.599 

122.86 

3.769 

9.675 

11.765 

7.374 

1.409 

2433000 

0.716 

16.126 

11.388 

69.49 

7.798 

11.141 

2.752 

5.087 

5.744 

2  134000 

3.483 

19.736 

9.176 

16.12 

11.827 

12.606 

7.014 

2.789 

4.256 

2435000 

6.250 

23.346 

6.964 

94.43 

15.857 

1  4.072 

11.276 

0.512 

2.767 

2436000 

9.017 

2.654 

4.753 

41.06 

19.884 

15.538 

2.263 

7.893 

1.279 

2437000 

1.911 

6.264 

2.541 

11946 

2:5.!)  15 

17.003 

<;.  .->•„><; 

5.30  1 

5.6  1  t 

243-.000 

4.678 

9.874 

0.329 

(i:..  H!) 

27.9  li> 

18.469 

10.78S 

3.017 

4.126 

2  139000 

7.444 

13.485 

12.434 

12.62 

31.971 

19.935 

1.775 

0.730 

2.638 

2  1  10000 

0.339 

17.095 

10.223 

90.93 

3.875 

21.401 

6.038 

7.810 

1.149 

•41  11000 

3.10(i 

20.705 

8.011 

37.;>ii 

7.90.-) 

22.867 

10.300 

5.SS8 

5.484 

M49000 

Mm 

84316 

5.799 

1  1  5.M6 

11.934 

0.55M 

1  .2N6 

8.389 

8.996 

•J  1  13000 

8.639 

8.688 

3.587 

62.49 

15.963 

2.023 

5.5  J!) 

0.948 

2.508 

2  1  1  1000 

1.534 

7.233 

1.375 

9.13 

19.993 

3.489 

9.812 

8.027 

1.019 

•J  II  :.000 

4.301 

10.844 

13.461 

87.43 

24.022 

4.955 

0.798 

5.740 

5.354 

8446000 

7.067 

14.454 

11.269 

3  i.o<; 

28.051 

6.420 

5.061 

3.453 

3.866 

B447000 

!».s;u 

18.064 

9.057 

1  12.36 

32.081 

7.661 

9.881 

1.165 

2.378 

2448000 

2.728 

21.674 

6.846 

r.D.oo 

3.982 

9.351 

0.310 

8.245 

0.890 

2449000 

5.495 

0.982 

4.634 

5.63 

8.011 

10.817 

4.572 

5.956 

5.224 

2450009 

8.869 

4.592 

2.422 

83.93 

12.041 

12.283 

8.835 

3.671 

3.736 

48 


TABLE  116. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


j«iKi.«i.    ARG-18.       ID.           30.           31.          33.           33.           34.          33.          30. 

2450000 

d 

8.262 

4.592 

2.422 

83.93 

d. 

12.041 

12.283 

d. 

8.835 

d. 

3.671 

3.736 

2451000 

1.157 

8.203 

0.210 

30.56 

16.070 

13.749 

13.098 

1.383 

2.248 

245-4000 

3.924 

11.813        12.316 

108.86 

20.100 

15.215 

4.084 

8.463 

0.760 

2453000 

6.690 

15.423 

10.104 

55.50 

24.129 

16.681 

8.347 

6.176 

5.094 

2454000 

9.457 

19.033 

7.892 

2.13 

28.158 

18.146 

12.609 

3.888 

3.606 

2455000 

2.352 

22.643 

5.680 

80.43 

0.060 

19.612 

3.596 

1.601 

2.118 

84*6000 

5.119 

1.951 

3.469 

27.06 

4.089 

21.078 

7.859 

8.681 

0.630 

2457000 

7.885 

5.562 

1.257 

105.37 

8.118 

22.543 

12.121 

6.393 

4.964 

2458000 

0.780 

9.172 

13.362 

52.00 

12.148 

0.234 

3.107 

4.106 

3.476 

2459000 

3.547 

12.782 

11.150 

130.30 

16.177 

1.700 

7.370 

1.814 

1.988 

2  160000 

6.313 

16.393 

*8.939 

76.93 

20.207 

3.166 

11.633 

8.899 

0.500 

2461000 

9.080 

20.003 

6.727 

23.56 

•  24.236 

4.632 

2.620 

6.611 

4.834 

V  162000 

1.974 

23.613 

4.516 

101.87 

28.265 

6.098 

6.882 

4.324 

3.346 

2463000 

4.741 

2.921 

2304 

48.50 

0.167 

7.564 

11.145 

2.037 

1.858 

2464000 

7.508 

6.532 

0.092 

126.80 

4.196 

9.029 

2.131 

9.117 

0.370 

2465000 

0.402 

10.142 

12.197 

73.43 

8.225 

10.495 

6.394 

6.829 

4.704 

2466000 

3.169 

13.752 

9.986 

20.07 

12.255 

11.961 

10.656 

4.542 

3.216 

2467000 

5.938 

17.363 

7.774 

98.37 

16.284 

13.426 

1.643 

2.255 

1.728 

2468000 

8.703 

20.973 

5.562 

45.00 

20.314 

14.892 

5.906 

9.334 

0.240 

2469000 

1.597 

0.281 

3.351 

123.30 

24.343 

16.358 

10.169 

7.047 

4.575 

2470000 

4.364 

3.891 

1.139 

69.94 

28.372 

17.824 

1.155 

4.760 

3.087 

2471000 

7.131 

7.501 

13.244 

16.57 

0.273 

19.290 

5.418 

2.473 

1.599 

2  172000 

0.025 

11.112 

11.033 

94.87 

4.303 

20.756 

9.680 

0.185 

0.110 

2473000 

2.792 

14.722 

8.821 

41.50 

8.332 

22.221 

0.667 

7.265 

4.445 

2474000 

5.559 

18.332 

6.609 

119.81 

12.362 

23.687 

4.929 

4.978 

2.957 

2475000 

8.326 

21.942 

4.398 

66.44 

16.391 

1.378 

9.192 

2.690 

1.469 

2476000 

1.220 

1.251 

2.186 

13.07 

20.420 

2.844 

0.178 

0.403 

5.803 

2477000 

3.987 

4.861 

14.291 

91.37 

24.450 

4  309 

4.441 

7.483 

4.315 

2  178000 

6.754 

8.471 

12.079 

38.00 

28.479 

5.775 

8.704 

5.196 

2.827 

2179000 

9.521 

12.082 

9.868 

116.31 

0.380 

7.241 

12.966 

2.908 

1.339 

2  180000 

2.415 

15.692 

7.656 

62.94 

4.410 

8.707 

3.953 

0.621 

5.673 

2  is  1000 

5.182 

19.302 

5.44  4 

9.57 

8.439 

10.173 

8.216 

7.701 

4.185 

2482000 

7.949 

22.913 

3.233 

87.88 

12.469 

11.639 

12.478 

5.413 

2.697 

2483000 

0.843 

2.221 

1.021 

34.51 

16.498 

13.105 

3.465 

3.126 

1.209 

2184000 

3.610 

5.832 

13.126 

112.81 

20.527 

14.570 

7.728 

0.839 

5.544 

2485000 

6.377 

9.442 

10.915 

59.44 

24.557 

16.036 

11.990 

7.919 

4.056 

2486000 

9.144 

13.052 

8.703 

6.08 

28.586 

17.502 

2.977 

5.631 

2.567 

2  IN7000 

2.038 

16.663 

6.492 

S  1.  38 

0.487 

18.967 

7.239 

3.344 

1.079 

2488000 

4.805 

20.273 

4.280 

31.01 

4.517 

20.433 

11.502 

1.057 

5.414 

2  189000 

7.572 

23.883 

2.068 

109.31 

8.546 

21.899 

2.488 

8.136 

3.926 

2490000 

0.466 

3.191 

14.173 

55.95 

12.575 

23.365 

6.751 

5.849 

2.438 

2491000 

3.233 

6.801 

11.962 

2.58 

16.605 

1.056 

11.014 

3.562 

0.951 

2492000 

6.000 

10412 

9.750 

80.88 

20.635 

2.522 

2.000 

1.275 

5.284 

2493000 

8.767 

14.022 

7.538 

27.52 

24.664 

3.988 

6.263 

8.354 

3.796 

2494000 

1.661 

17.633 

5.327 

105.82 

28.693 

5.453 

10.526 

6.067 

2.308 

2  11)5000 

4.428 

21.243 

3.115 

52.45 

0.594 

6.919 

1.512 

3.780 

0.820 

2496000 

7.195 

0.551 

0.903 

130.75 

4.624 

8.385 

5.775 

1.493 

5.154 

2  197000 

0.089 

4.162 

13.009 

77.39 

8.653 

9.850 

10.038 

8.572 

3.666 

2  198000 

2.856 

7.772 

10.797 

24.02 

12.683 

11.316 

1.024 

6.285 

2.178 

2499000 

5.623 

11.382 

8.586 

102.32 

16.712 

12.782 

5.287 

3.997 

0.690 

2500000 

8.390 

14.993 

6.374 

48.96 

20.741 

14.248 

9.550 

1.710 

5.024 

49 


TABLE  II&. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


Julftpbriud.      ABG     27-            S8<               3U>                 30'                  3I'                3~              33'               *•*•             35' 

2400000 

15.66 

d. 

19.352 

4.605 

5.551 

d. 

11.37 

d. 

7.36 

d. 

11.24 

5.99 

ii 
1.56 

2401000 

8.43 

17.780 

21.696 

9.942 

0.61 

9.55 

5.27 

3.56 

19.93 

2402000 

1.20 

16.207 

6.023 

3.961 

5.18 

11.74 

31.75 

1.13 

14.36 

2403000 

19.80 

14.635 

23.114 

8.352 

9.74 

13.93 

25.78 

25.79 

8.78 

2404000 

12.57 

13.062 

7.441 

2.371 

14.31 

16.12 

19.81 

23.36 

3.21 

2405000 

5.34 

11.490 

24.532 

6.762 

3.55 

1.68 

13.85 

20.93 

21.57 

2  tOfiOOO 

23.94 

9.918 

8.859 

0.781 

8.11 

3.87 

7.88 

18.5(1 

16.00 

2  107000 

16.71 

8.345 

25.950 

5.172 

12.68 

6.06 

1.91 

16.07 

10.43 

2408000 

9.48 

6.773 

10.277 

9.563 

1.92 

8.25 

28.39 

13.14 

4.85 

2409000 

2.25 

5.200 

27.368 

3.582 

6.49 

10.45 

22.42 

11.21 

23.22 

2410000 

20.85 

3.628 

11.695 

7.973 

11.05 

12.64 

16.46 

8.78 

17.65 

2411000 

13.62 

2.056 

28.786 

1.992 

0.30 

14.83 

10.49 

6.35 

12.08 

2412000 

6.39 

0.483 

13.114 

6.382 

4.86 

0.39 

4.52 

3.92 

6.50 

8419000 

24.99 

37.433 

30.205 

0.402 

9.42 

2.58 

31.00 

1.49 

0.93 

2414000 

17.76 

35.860 

14.532 

4.793 

13.99 

4.77 

25.04 

26.15 

19.30 

2415000 

10.53 

34.288 

31.623 

9.183 

3.23 

6.96 

19.06 

23.72 

13.72 

2116000 

3.30 

32.716 

15.950 

3.203 

7.80 

9.15 

13.10 

21.29 

8.15 

2417000 

21.90 

31.143 

0.277 

7.594 

12.37 

11.34 

7.13 

18.86 

2.58 

2418000 

14.67 

29.571 

17.368 

1.613 

1.61 

13.52 

1.16 

16.43 

20.94 

2419000 

7.44 

27.998 

1.695 

6.004 

6.17 

15.72 

27.65 

14.00 

15.37 

2420000 

0.21 

26.426 

18.786 

0.023 

10.73 

1.28 

21.68 

11.57 

9.80 

iil-.il  000 

18.81 

24.854 

3.113 

4.414 

15.30 

3.47 

15.71 

9.14 

4.22 

242-2000 

11.58 

23.281 

20.204 

8.804 

4.54 

5.66 

9.74 

6.71 

22.59 

2423000 

4.35 

21.709 

4.531 

2.824 

9.11 

7.85 

3.77 

4.28 

17.02 

2421000 

22.95 

20.136 

21.622 

7.215 

13.68 

10.04 

30.26 

1.85 

11.45 

2425000 

15.72 

18.564 

5.951 

1.234 

2.92 

12.23 

24.29 

26.51 

5.87 

2426000 

8.49 

17.992 

23.040 

5.625 

7.48 

14.42 

18.32 

24.08 

0.30 

2427000 

1.26 

15.419 

7.367 

10.015 

12.05 

16.61 

12.35 

21.65 

18.67 

2  12NOOO 

19.86 

13847 

24.458 

4.035 

1.29 

2.17 

6.38 

19.W 

13.09 

2  129000 

12.63 

12.274 

8.785 

8.425 

5.85 

4.36 

0.42 

16.79 

7.52 

2430000 

5.40 

10.702 

25.876 

2.445 

10.42 

6.55 

26.90 

14.36 

1.95 

12431000 

24.00 

9.130 

10.203 

6.835 

14.99 

8.74 

20.93 

11.93 

20.31 

2  13-Jooo 

16.77 

7.557 

27.294 

0.855 

4.23 

10.93 

14.96 

9.50 

14.74 

•J  133000 

9.54 

5.985 

11.621 

5.246 

8.79 

13.12 

9.00 

7.07 

9.17 

2434000 

2.31 

4.412 

28.712 

9.636 

ISM 

15.31 

3.03 

4.64 

359 

2435000 

20.91 

2.840 

IMM 

3.656 

2.60 

0.87 

'  29.51 

2.21 

21.96 

2  i3(;ooo 

13.68 

1.268 

30.131 

8.047 

7.16 

3.06 

23.54 

26.87 

16.39 

2  137000 

6.45 

38.217 

14.458 

2.066 

11.73 

5.25 

17.58 

24.44 

10.81 

2138000 

25.05 

36.645 

31.549 

6.456 

0.98 

7.44 

11.61 

22.01 

5.24 

2439000 

17.82 

35.072 

15.876 

0.476 

5.54 

9.63 

5.64 

19.58 

23.61 

2  1  10000 

10.59 

33.500 

0.203 

4.866 

10.10 

*    11.82 

32.12 

17.15 

18.04 

8441000 

3.36 

31.928 

17.294 

9.3« 

14.67 

14.01 

26.15 

1  1.72 

12.46 

8449000 

21.96 

30.  :{.-.:> 

1.621 

3.277 

3.91 

16.20 

20.19 

12.89 

6.89 

2  1  13000 

1  1.73 

28.783 

18.712 

7.667 

8.47 

1.76 

14.22 

9.86 

1.31 

2444000 

7.50 

27.210 

3.039 

1.687 

13.04 

3.95 

8.25 

7.43 

19.68 

8445000 

0.27 

25.638 

20.131 

6.077 

2.29 

6.14 

2.28 

5.00 

14.11 

•il  1  HOI  lit 

18.87 

24066 

4.458 

0.097 

6.85 

8.33 

28.77 

2.57 

8.53 

8447000 

11.64 

22.  1!»3 

8LM9 

4.488 

11.11 

10.f.2 

22.80 

0.14 

2.96 

8448000 

4.42 

20.921 

5.876 

B&I8 

0.66 

12.71 

16.83 

21.80 

21.33 

8449000 

23.02 

19.348 

22.967 

2.897 

5.22 

14.90 

10.86 

22.37 

15.76 

3460000 

15.79 

17.776 

7.294 

7.288 

9.78 

0.46 

4.89 

19.94 

10.18 

50 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000 
For  Washington  Mean  Noon. 


,  ,""<r   .     A.RG.  27.        38.          29.           SO.            31.          33.         33.          31.         35. 

Julian  Period.                                                                                 1 

2450000 

15.79 

17.770 

cl. 

7.294 

7.288 

el 
9.78 

ii. 
0.46 

cl. 

4.89 

(i. 
19.94 

ii. 
10.18 

2451000 

8.56 

16.204 

24.385 

1.308 

14.35 

2.65 

31.38 

17.51 

4.61 

2452000 

1.33 

14.631 

8.712 

5.698 

3.60 

4.84 

25.41 

15.08 

22.98 

2453000 

19.93 

13.059 

25.803 

10.089 

8.16 

7.03 

19.44 

12.65 

17.41 

2151000 

12.70 

11.486 

10.130 

4.108 

12.73 

9.23 

13.47 

10.22 

11.83 

2455000 

5.47 

9.914 

27.222 

8.499 

1.97 

11.42 

7.50 

7.79 

6.26 

2456000 

24.07 

8.342 

11.549 

2.518 

6.53 

13.61 

1.54 

5.36 

0.68 

2457000 

16.84 

6.769 

28.640 

6.909 

11.09 

15.80 

28.02 

2.93 

19.05 

2458000 

9.61 

5.197 

12967 

0.929 

0.34 

1.36 

22.05 

0.50 

13.48 

2459000 

2.38 

3.624 

30.058 

5.319 

4.91 

3.55 

16.08 

25.16 

7.91 

2460000 

20.98 

2.052 

14.385 

9.710 

9.47 

5.74 

10.11 

22.73 

2.33 

2461000 

13.75 

0.480 

31.476 

3.729 

14.04 

7.93 

4.15 

20.30 

20.70 

2462000 

6.52 

37.429 

15.804 

8.120 

3.28 

10.12 

30.63 

17.87 

15.13 

2463000 

25.12 

35.857 

0.131 

2.139 

7.84 

12.31 

24.66 

15.44 

9.55 

2464000 

17.89 

34.284 

17.222 

6.530 

12.41 

14.50 

18.69 

13.01 

3.98 

2465000 

10.66 

32.712 

1.549 

0.550 

1.65 

0.06 

12.73 

10.58 

22.35 

2466000 

3.43 

31.139 

18.640 

4.940 

6.22 

2.25 

6.76 

8.15 

16.78 

2467000 

22.03 

29.566 

2.967 

9.331 

10.78 

4.44 

0.79 

5.71 

11.20 

2468000 

14.80 

27.994 

20.059 

3.350 

15.35 

6.63 

27.27 

3.28 

5.63 

2469000 

7.57 

26.421 

4.386 

7.741 

4.59 

8.82 

21.30 

0.85 

0.05 

2470000 

0.34 

24.849 

21.477 

1.760 

9.15 

11.01 

15.34 

25.51 

18.42 

2471000 

18.94 

23.277 

5.804 

6.151 

13.70 

13.20 

9.37 

23.08 

12.85 

2472000 

11.71 

21.704 

22.895 

0.170 

2.96 

15.39 

3.40 

20.65 

7.27 

2473000 

4.48 

20.132 

7.222 

4.561 

7.53 

0.95 

29.88 

18.22 

1.70 

2474000 

23.08 

18.559 

24.314 

8.952 

12.09 

3.14 

23.92 

15.79 

20.07 

2475000 

15.85 

16.987 

8.640 

2.971 

1.34 

5.33 

17.95 

13.36 

14.50 

2476000 

8.62 

15.415 

25.732 

7.361 

5.90 

7.52 

11.98 

10.93 

8.92 

2477000 

1.39 

13.842 

10.059 

1.381 

10.46 

9.71 

6.01 

8.50 

3.35 

2178000 

19.99 

12.270 

27.150 

5.772 

15.03 

11.90 

0.04 

6.07 

21.71 

2479000 

12.76 

10.697 

11.477 

10.163 

4.27 

14.09 

26.53 

3.64 

16.14 

2480000 

5.54 

9.125 

28.569 

4.182 

8.84 

16.28 

20.56 

1.21 

10.57 

2481000 

24.13 

7.553 

12.896 

8.572 

13.40 

1.84 

14.59 

25.87 

5.00 

2482000 

16.90 

5.980 

29.987 

2.592 

2.65 

4.03 

8t62 

23.44 

23.36 

2483000 

9.68 

4.408 

14.314 

6.983 

7.21 

6.22 

2.66 

21.01 

17.79 

2481000 

2.45 

2.835 

31.405 

1.002 

11.77 

8.41 

29.14 

18.58 

12.22 

2485000 

21.04 

1.263 

15.733 

5.393 

1.02 

10.60 

23.17 

16.15 

6.64 

2486000 

13.82 

38  212 

0.059 

9.783 

5.58 

12.79 

17.20 

13.72 

1.07 

•J  1S7000 

6.59 

36.639 

17.151 

3.803 

10.15 

14.98 

11.23 

11.29 

19.44 

248SOOO 

25.18 

35.067 

1.478 

8.191 

14.71 

0.54 

5.27 

8.86 

13.87 

2  189000 

17.96 

33.494 

18.569 

2.213 

3.96 

2.73 

31.75 

6.43 

8.29 

2490000 

10.73 

31.922 

2.896 

6.603 

8.52 

4.92 

25.78 

4.00 

2.72 

2191000 

3.50 

30.350 

19.988 

0.623 

13.09 

7.11 

19.81 

1.57 

21.09 

2492000 

22.10 

28.777 

4.315 

5.014 

2.33 

9.30 

13.85 

26.23 

15.51 

2493000 

14.87 

27.205 

21.106 

9.404 

6.89 

11.49 

7.88 

23.80 

9.94 

2494000 

7.64 

25.632 

5.733 

3.423 

11.46 

13.68 

1.91 

21.37 

4.37 

2495000 

0.41 

21.060 

22.825 

7.814 

0.70 

15.87 

28.39 

18.94 

22.73 

2496000 

19.01 

2-2.488 

7.152 

1.831 

5.27 

1.43 

22.42 

16.51 

17.16 

2  197000 

11.78 

20.915 

24.243 

6.221 

9.83 

3.62 

16.46 

14.08 

11.59 

2  198000 

4.55 

19.313 

8.570 

0.244 

14.40 

5.81 

10.49 

11.65 

6.01 

2499000 

23.15 

17.770 

25.661 

4.634 

3.64 

8.00 

4.52 

9.22 

0.44 

2500000 

15.92 

16.198 

9.988 

9.025 

8.20 

10.19 

31.00 

6.79 

18.81 

51 


TABLE  lift. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2600000. 
For  Washington  Mean  Noon. 


,^KU  A-  o«.  »r.   88.   »».   ...   4,.   «.   43.   44. 

d. 

d. 

d. 

,i 

d. 

d. 

d 

d. 

d. 

2400000 

6.02 

19.5 

5.92 

32.3 

1.19 

17.30 

4.35 

3.07 

22.3 

2401000 

4.55 

3.6 

10.12 

32.5 

2.48 

13.83 

9.85 

14.51 

19.7 

2402000 

3.07 

25.4 

14.31 

32.7 

3.77 

10.36 

5.21 

11.39 

17.1 

2403000 

1.60 

9.5 

18.51 

32.9 

5.07 

6.89 

0.57 

8.28 

14.5 

2404000 

0.13 

31.2 

3.91 

33.2 

6.36 

3.42 

6.07 

5.16 

11.9 

2405000 

12.38 

15.4 

8.11 

33.4 

7.65 

17.87 

1.43 

2.05 

9.3 

2106000 

10.90 

37.1 

12.30 

33.6 

8.94 

14.40 

6.93 

13.49 

6.7 

2407000 

9.43 

21.2 

16.50 

33.9 

10.23 

10.93 

2.29 

10.37 

4.2 

2408000 

7.95 

5.3 

1.90 

34.1 

11.53 

7.46 

7.79 

7.25 

1.6 

2409000 

6.48 

27.1 

6.10 

34.3 

12.82 

3.99 

3.16 

4.14 

21.8 

2410000 

5.01 

11.2 

10.29 

0.0 

14.11 

0.52 

8.65 

1.03 

19.2 

2411000 

3.53 

32.9 

14.49 

0.2 

15.40 

14.97 

4.02 

12.46 

16.6 

2412000 

2.06 

17.0 

18.68 

0.4 

16.69 

11.50 

9.52 

9.34 

14.0 

2413000 

0.59 

1.2 

4.09 

0.6 

17.99 

8.03 

4.88 

6.23 

11.4 

2414000 

12.84 

22.9 

8.28 

0.9 

0.44 

4.56 

0.24 

3.12 

8.8 

2415000 

11.36 

7.0 

12.48 

1.1 

1.73 

1.09 

5.74 

0.00 

6.2 

2416000 

9.89 

28.8 

16.67 

1.3 

3.02 

15.54 

1.10 

11.43 

3.6 

2417000 

8.41 

12.9 

.2.07 

1.6 

4.31 

12.07 

6.60 

8.32 

1.0 

2418000 

6.94 

34.6 

6.27 

1.8 

5.61 

8.60 

1.96 

5.21 

21.2 

2419000 

5.47 

18.7 

10.46 

2.0 

6.90 

5.13 

7.46 

2.10 

18.6 

2420000 

3.99 

2:8 

14.66 

2.2 

8.19 

1.66 

2.82 

13.54 

16.1 

2421000 

2.52 

24.6 

0.06 

2.4 

9.48 

16.11 

8.32 

10.41 

13.5 

2422000 

1.05 

8.7 

4.26 

2.6 

10.77 

12.64 

3.69 

7.30 

10.9 

2423000 

13.30 

30.4 

8.45 

2.8 

12.06 

9.17 

9.18 

4.19 

8.3 

2424000 

11.82 

14.6 

12.65 

3.1 

13.35 

5.70 

4.55 

1.08 

5.7 

2425000 

10.35 

36.3 

16.84 

3.3 

14.65 

2.23 

10.05 

12.50 

3.1 

2426000 

8.87 

20.4 

2.25 

3.5 

15.94 

16.68 

5.41 

9.39 

0.5 

2427000 

7.40 

4.5 

6.44 

3.8 

17.23 

13.21 

0.77 

6.28 

20.7 

•2  IvJSOOO 

5.93 

26.3 

10.64 

4.0 

18.52 

9.74 

6.27 

3.17 

18.1 

2429000 

4.46 

10.4 

14.83 

4.2 

0.97 

6.27 

1.63 

0.06 

15.5 

2430000 

2.98 

32.1 

0.24 

4.4 

2.26 

2.80 

7.13 

11.48 

12.9 

8481000 

1.51 

16.3 

4.44 

4.6 

3.55 

17.25 

2.49 

8.37 

10.3 

2432000 

0.04 

0.4 

8.63 

4.8 

4.84 

13.77 

7.99 

5.26 

7.8 

2  lltHOOO 

12.28 

22.1 

12.82 

5.0 

6.14 

10.30 

3.35 

2.15 

5.2 

2434000 

10.81 

6.2 

17.02 

5.2 

7.43 

6.83 

8.85 

13.58 

2.6 

2435000 

9.33 

28.0 

2.42 

5.5 

8.72 

3.36 

4.22 

10.46 

0.0 

2436000 

7.86 

12.1 

6.62 

5.7 

10.01 

17.81 

9.71 

7.35 

20.2 

2  mooo 

6.39 

33.8 

10.81 

5.9 

11.30 

14.34 

5.08 

4.24 

17.6 

2438000 

4.92 

18.0 

15.01 

6.1 

12.60 

10.87 

0.44 

1.13 

15.0 

2439000 

3.44 

2.1 

0.41 

6.3 

13.89 

7.40 

5.94 

12.55 

12.4 

2440000 

1.97 

23.8 

4.60 

6.5 

15.18 

3.93 

1.30 

9.44 

9.8 

2441000 

0.50 

7.9 

8.80 

6.7 

16.47 

0.46 

6.80 

6.33 

7.2 

•-•  1  UOOO 

12.74 

29.7 

12.99 

6.9 

17.76 

14.91 

2.16 

3.22 

4.6 

2443000 

11.27 

13.8 

17.19 

7.1 

0.22 

11.44 

7.66 

0.11 

2.1 

2444000 

9.79 

35.5 

2.59 

7.4 

1.51 

7.97 

3.02 

11.53 

22.3 

2445000 

8.32 

19.6 

6.79 

7.6 

2.80 

4.50 

8.52 

8.42 

19.7 

2446000 

6.85 

3.8 

10.98 

7.8 

4.09 

[.08 

3.88 

5.31 

17.1 

•J  1  17000 

5.38 

25.5 

15.18 

8.1 

5.38 

15.48 

9.38 

2.20 

14.5 

2448000 

3.90 

9.6 

0.58 

8.3 

6.68 

12.01 

4.75 

18.68 

11.9 

2449000 

2.43 

31.3 

4.78 

8.5 

7.97 

8.54 

0.10 

10.51 

9.3 

•J.V.OOOO 

0.96 

15.5 

8.97 

8.7 

9.26 

5.07 

5.61 

7.40 

6.7 

52 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon.% 


Juli^Period.   AR(}-  36'     37'      38<       39'       4O<        4I'       49>       43<       44> 

2450000 

d. 

0.96 

d. 

15.5 

d. 

8.97 

d. 

8.7 

d. 

9.26 

d. 

5.07 

d. 

5.61 

d. 

7.40 

d. 

6.7 

2451000 

13.20 

37.2 

13.17 

8.9 

10.55 

1.60 

0.96 

4.29 

4.1 

2452000 

11.73 

21.3 

17.36 

9.1 

11.84 

16.05 

6.47 

1.17 

1.5 

2453000 

10.26 

5.4 

2.77 

9.3 

13.14 

12.58 

1.83 

12.60 

21.7 

2454000 

8.78 

27.2 

6.96 

9.6 

14.43 

9.11 

7.33 

9.49 

19.1 

2455000 

7.31 

11.3 

11.16 

9.8 

15.72 

5.64 

2.69 

6.38 

16.6 

2456000 

5.84 

33.0 

15.35 

10.0 

17.01 

2.17 

8.19 

3.26 

14.0 

2457000 

4.36 

17.2 

0.76 

10.3 

18.30 

16.62 

3.55 

0.16 

11.4 

2458000 

2.89 

1.3 

4.95 

10.5 

0.76 

13.15 

9.05 

11.58 

8.8 

2459000 

1.42 

23.0 

9.15 

10.7 

2.05 

9.68 

4.42 

8.47 

6.2 

2460000 

13.66 

7.1 

13.34 

10.9 

3.34 

6.21 

9.91 

5.36 

3.6 

2461000 

12.19 

28.9 

17.53 

11.1 

4.63 

2.74 

5.28 

2.24 

1.0 

2462000 

10.72 

13.0 

2.94 

11.3 

5.92 

17.19 

0.64 

13.68 

21.2 

2463000 

9.24 

34.7 

7.13 

11.5 

7.22 

13.72 

6.14 

10.56 

18.6 

2464000 

7.77 

18.8 

11.33 

11.7 

8.51 

10.25 

1.50 

7.45 

16.0 

2465000 

6.30 

3.0 

15.52 

12.0 

9.80 

6.78 

6.99 

4.33 

13.4 

2466000 

4.82 

24.7 

0.93 

12.2 

11.09 

3.31 

2.36 

1.22 

10.8 

2467000 

3.35 

•  8.8 

5.12 

12.5 

12.38 

17.76 

7.86 

12.65 

8.3 

2468000 

1.88 

30.6 

9.32 

12.7 

13.68 

14.29 

3.22 

9.54 

5.7 

2469000 

0.40 

14.7 

13.51 

12.9 

14.97 

10.82 

8.72 

6.43 

3.1 

2470000 

12.65 

36.4 

17.71 

13.1 

16.26 

7.35 

4.08 

3.31 

0.5 

2471000 

11.18 

20.5 

3.11 

13.3 

17.55 

3.88 

9.58 

0.21 

20.7 

2472000 

9.70 

4.6 

7.31 

13.5 

0.00 

0.41 

4.95 

11.63 

18.1 

2473000 

8.23 

26.4 

11.50 

13.7 

1.30 

14.85 

0.30 

8.52 

15.5 

2474000 

6.76 

10.5 

15.70 

13.9 

2.59 

11.38 

5.81 

5.40 

12.9 

2475000 

5.28 

32.2 

1.10 

14.2 

3.88 

7.91 

1.17 

2.29 

10.3 

2476000 

3.81 

16.4 

5.30 

14.4 

5.17 

4.44 

6.67 

13.73 

7.7 

2477000 

2.34 

0.5 

9.49 

14.6 

6.46 

0.97 

2.03 

10.61 

5.1 

2478000 

0.87 

22.2 

13.69 

14.8 

7.76 

15.42 

7.52 

7.49 

2.6 

2479000 

13.11 

6.3 

17.88 

15.0 

9.05 

11.95 

2.89 

4.38 

0.0 

2480000 

11.64 

28.1 

3.29 

15.2 

10.34 

8.48 

8.39 

1.27 

20.2 

2481000 

10.16 

12.2 

7.48 

15.4 

11.63 

5.01 

3.75 

12.70 

17.6 

2482000 

8.69 

33.9 

11.68 

15.6 

12.92 

1.54 

9.25 

9.59 

15.0 

2483000 

7.22 

18.1 

15.87 

15.8 

14.21 

15.99 

4.62 

6.47 

12.4 

2484000 

5.74 

2.2 

1.28 

16.1 

15.50 

12.52 

10.11 

3.36 

9.8 

2485000 

4.27 

23.9 

5.47 

16.3 

16.80 

9.05 

5.48 

0.26 

7.2 

2486000 

2.80 

8.0 

9.67 

16.5 

18.09 

5.58 

0.83 

11.68 

4.6 

2487000 

1.33 

29.8 

13.86 

16.8 

0.54 

2.11 

6.34 

8.56 

2.0 

2488000 

13.57 

13.9 

18.06 

17.0 

1.83 

16.56 

1.70 

5.45 

22.2 

2489000 

12.10 

35.6 

3.46 

17.2 

3.12 

13.09 

7.19 

2.34 

19.6 

2490000 

10.62 

19.7 

7.66 

17.4 

4.41 

9.62 

2.56 

13.78 

17.0 

2491000 

9.15 

3.9 

11.85 

17.6 

5.70 

6.15 

8.06 

10.66 

14.5 

2492000 

7.68 

25.6 

16.05 

17.8 

6.99 

2.68 

3.42 

7.54 

11.9 

2493000 

6.21 

9.7 

1.45 

18.0 

8.29 

17.13 

8.92 

4.43 

9.3 

2494000 

4.73 

31.5 

5.65 

18.3 

9.58 

13.66 

4.28 

1.32 

6.7 

2495000 

3.26 

15.6 

9.84 

18.5 

10.87 

10.19 

9.78 

12.75 

4.1 

2496000 

1.79 

37.3 

14.04 

18.7 

12.16 

6.72 

5.15 

9.63 

1.5 

2497000 

0.31 

21.4 

18.23 

19.0 

13.45 

3.25 

0.50 

6.52 

21.7 

2498000 

12.56 

5.6 

3.63 

19.2 

14.75 

17.70 

6.01 

3.41 

19.1 

2499000 

11.09 

27.3 

7.83 

19.4 

16.04 

14.23 

1.37 

0.31 

16.5 

2500000 

9.61 

11.4 

12.03 

19.6 

17.33 

10.76 

6.86 

11.73 

13.9 

53 


TABLE  lib. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 

For  Washington  Mean  Noon. 


i.^pLrf     ARG.  45.      46.          47.           48.          49.         5O.          SI.          59.            53. 

Julian  Period. 

d. 

d. 

d 

d. 

A. 

d. 

d. 

d. 

d. 

2400000 

6.36 

14.4 

10.53 

1267 

5.6 

21.5 

15.85 

8.80 

68.76 

2401000 

9.26 

27.9 

7.12 

.  24.84 

10.1 

20.1 

13.92 

24.77 

10.91 

2402000 

12.16 

12.5 

3.71 

7.08 

1.9 

18.6 

11.99 

15.52 

70.59 

2103000 

15.06 

26.0 

0.30 

19.25 

6.4 

17.2 

10.00 

6.26 

12.74 

2404000 

1.05 

10.6 

11.02 

1.49 

10.8 

15.7 

8.13 

22.24 

72.42 

2405000 

3.95 

24.1 

7.61 

13.66 

2.6 

14.3 

6.20 

12.99 

14.57 

2406000 

6.85 

8.6 

4.20 

25.83 

7.1 

12.9 

4.27 

3.73 

7  1.25 

2  107000 

9.75 

22.2 

0.78 

8.07 

11.7 

11.4 

2.34 

19.71 

16.40 

240SOOO 

12.65 

6.7 

11.50 

20.24 

3.4 

10.0 

0.41 

10.45 

76.0S 

2409000 

15.54 

20.3 

8.09 

2.48 

7.9 

8.5 

16.69 

1.20 

18.23 

2110000 

1.54 

4.8 

4.68 

14.65 

12.5 

7.1 

14.76 

17.17 

77.91 

2411000 

4.44 

18.3 

1.27 

26.83 

4.2 

5.7 

12.83 

7.92 

20.06 

2412000 

7.31 

2.9 

11.99 

9.07 

8.7 

4.2 

10.90 

23.89 

7!).  7  4 

2413000 

10.24 

16.4 

8.58 

21.24 

0.4 

2.8 

8.97 

14.64 

21.89 

2414000 

13.13 

1.0 

5.17 

3.48 

4.9 

1.3 

7.01 

5.38 

81.57 

2415000 

16.03 

14.5 

1.76 

15.65 

9.4 

24.9 

5.10 

21.36 

23.72 

241COOO 

2.03 

28.1 

12.48 

27.82 

1.2 

23.5 

3.17 

12.11 

83.40 

2117000 

4.93 

12.6 

9.07 

10.06 

5.7 

22.0 

1.24 

2.85 

2555 

2418000 

7.83 

26.1 

5.66 

22.23 

10.1 

20.6 

17.52 

18.83 

85.23 

2419000 

10.72 

10.7 

224 

4.47 

1.9 

19.1 

15.59 

9.57 

.    27.38 

2420000 

13.62 

24.2 

12.96 

16.64 

6.5 

17.7 

13.67 

0.32 

87.06 

2421000 

16.52 

8.8 

9.55 

28.81 

10.9 

16.3 

11.74 

16.29 

29.21 

2  122000 

2.52 

22.3 

6.14 

11.05 

2.7 

14.8 

9.81 

7.01 

88.89 

•J  12:5000 

5.42 

6.9 

2.73 

23.22 

7.2 

13.4 

7.88 

23.01 

31.04 

2424000 

8.31 

20.4 

13.45 

5.46 

n.8 

1.1.9 

r>.95 

13.76 

'J0.72 

2425000 

11.21 

4.9 

10.04 

17.64 

3.5 

10.5 

4.02 

4.51 

32.87 

2  126000 

14.11 

18.5 

6.63 

29.81 

8.0 

9.1 

2.09 

20.48 

92.55 

2  127000 

0.11 

3.0 

3.22 

12.05 

12.5 

7.6 

0.16 

11.23 

84.76 

2  I2SOOO 

3.01 

16.6 

13.94 

24.22 

4.2 

6.2 

16.44 

1.97 

94.88 

2  12'JOOO 

5.91 

1.1 

10.53 

6.46 

8.7 

4.7 

14.52 

17.95 

86.53 

34*0000 

8.80 

14.6 

7.12 

18.63 

0.5 

3.3 

12.59 

8.69 

96.21 

3481000 

11.70 

28.2 

3.70 

0.87 

5.0 

1.9 

10.66 

24.67 

38.38 

3483000 

14.60 

12.7 

0.29 

13.04 

9.5 

0.5 

8.73 

15.12 

98.04 

3483000 

0.60 

26.3 

11.01 

25.21 

1.3 

21.0 

6.80 

6.16 

40.19 

3484000 

3.49 

10.8 

7.60 

7.45 

5.8 

22.6 

4.87 

22.14 

99.87 

2435000 

6.39 

24.4 

4.19 

19.62 

10.2 

21.1 

2.93 

12.88 

32.02 

3486000 

9.29 

8.9 

0.78 

1.86 

2.0 

19.7 

1.00 

3.63 

91.70 

2  137000 

12.19 

22.4 

11.50 

1  1.03 

6.5 

18.3 

17.28 

19.60 

88.85 

213-000 

15.09 

7.0 

8.09 

26.21 

11.0 

16.8 

15.35 

10.89 

93.53 

9486000 

1.08 

20.5 

4.68 

8.44 

2.8 

15.4 

13.43 

1.09 

35.68 

•J  1  10000 

3.98 

5.1 

1.27 

20.62 

7.3 

14.0 

11.50 

17.07 

105.36 

3441000 

6.88 

18.6 

11.99 

£86 

11.8 

12.6 

9.57 

7.88 

47.51 

9442000 

9.78 

32 

8.58 

i:>.03 

3.5 

11.1 

7.(il 

23.79 

107.19 

•Jl  POOH 

12.67 

lfi.7 

5.10 

27.20 

8.1 

9.7 

r..7i 

j  i.r.i 

49.84 

2  1  1  4000 

15.57 

1.2 

1.75 

9.44 

12.6 

8.2 

3.78 

5.28 

109.02 

2  11  :  '.ono 

1.57 

14,1 

12.47 

21.61 

4.3 

6.8 

1.84 

21.26 

51.17 

•J  1  K1000 

4.47 

38.8 

9.06 

3>f, 

8.8 

6.4 

18.12 

12.00 

110.85 

•J  IH  IKK) 

7.1!7 

18J 

5.65 

16.02 

0.6 

8.9 

16.19 

2.75 

53.00 

3448000 

10.36 

26.4 

2.24 

28.19 

5.1 

2.5 

11.27 

18.78 

112.68 

21  l:'(ioo 

18.16 

11.0 

12.96 

10.43 

iu; 

1.0 

12.84 

!».  17 

54.83 

•J  I.  -.0000 

16.06 

21.5 

9.55 

22.60 

1.3 

21.6 

10.41 

0.22 

114.51 

54 


TABLE  lib. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 

For  Washington  Mean  Noon. 


ju±yp/m,d.  ARG.  45.  .46.    47.     48.    49.    5O.    51.    52.     53. 

2450000 

d. 

16.06 

d. 

24.5 

d. 

9.55 

d. 

22.60 

d. 

1.3 

d. 

24.6 

d. 

10.41 

d. 

0.22 

11451 

2451000 

2.06 

9.0 

6.14 

4.84 

5.S 

23.2 

8.48 

16.19 

56.66 

2452000 

4.96 

22.6 

2.73 

17.02 

10.3 

21.7 

6.55 

6.94 

116.34 

2453000 

7.85 

7.1 

13.45 

29.19 

2. 

20.3 

4.62 

22.91 

58.49 

2454000 

10.75 

20.7 

10.04 

11.43 

6.6 

18.8 

2.69 

13.66 

0.63 

2455000 

13.65 

5.2 

6.63 

23.60 

11.0 

17.4 

0.75 

4.40 

60.32 

2456000 

16.55 

18.7 

3.22 

5.84 

2.8 

16.0 

17.03 

20.38 

2.46 

2457000 

2.55 

3.3 

13.93 

18.01 

7.4 

14.5 

15.1 

11.13 

62.15 

2458000 

5.44 

16.8 

10.52 

0.25 

11.9 

13.1 

13.18 

1.87 

4.29 

2459000 

8.34 

1.4 

7.11 

12.42 

3.6 

11.6 

11.25 

17.85 

63.98 

2460000 

11.24 

14.9 

3.70 

24.59 

8.1 

10.2 

9.32 

8.59 

6.12 

2461000 

14.14 

28.5 

0.29 

6.83 

12.7 

8.8 

7.39 

24.57 

65.81 

2462000 

0.14 

13.0 

11.01 

19.00 

4.4 

7.4 

5.46 

15.31 

7.95 

2463000 

3.03 

26.5 

7.60 

1.24 

8.9 

5.9 

3.53 

6.06 

67.64 

2461000 

5.93 

11.1 

4.19 

13.41 

0.6 

4.5 

1.60 

22.04 

9.78 

2465000 

8.83 

24.6 

0.78 

25.59 

5.1 

3.0 

17.87 

12.78 

69.47 

2466000 

11.73 

9.2 

11.50 

7.83 

9.6 

1.6 

15.94 

3.53 

11.61 

2467000 

14.63 

22.7 

8.09 

20.00 

1.4 

0.2 

14.02 

19.50 

71.30 

2468000 

0.62 

7.3 

4.68 

2.24 

5.9 

23.7 

12.09 

10.25 

13.44 

2469000 

3.52 

20.8 

1.26 

14.41 

10.3 

22.3 

10.16 

0.99 

73.13 

2470000 

6.42 

5.3 

11.98 

26.58 

2.2 

20.9 

8.23 

16.97 

15.27 

2471000 

9.32 

18.9 

8.57 

8.82 

6.7 

19.5 

6.30 

7.71 

74.96 

2472000 

12.21 

3.4 

5.16 

20.99 

11.1 

18.0 

4.37 

23.69 

17.10 

2473000 

15.11 

17.0 

1.75 

3.23 

2.9 

16.6 

2.44 

14.43 

76.79 

2474000 

1.11 

1.5 

12.47 

15.40 

7.4 

15.1 

0.51 

5.18 

18.93 

2475000 

4.01 

15.0 

9.06 

27.57 

12.0 

13.7 

16.78 

21.16 

78.62 

2476000 

6.91 

28.6 

5.65 

9.81 

3.7 

12.3 

14.86 

11.90 

20.76 

2477000 

9.80 

13.1 

2.24 

21.99 

8.2 

10.8 

12.93 

2.65 

80.45 

2478000 

12.70 

26.7 

12.96 

4.22 

12.7 

9.4 

11.00 

18.62 

22.59 

2479000 

15.60 

11.2 

9.55 

16.40 

4.4 

7.9 

9.07 

9.37 

82.28 

2480000 

1.60 

24.8 

6.14 

28.57 

8.9 

6.5 

7.14 

0.11 

24.42 

2481000 

4.50 

9.3 

2.73 

10.81 

0.7 

5.1 

5.21 

16.09 

84.11 

2482000 

7.39 

22.8 

13.44 

22.98 

5.2 

3.6 

3.28 

6.83 

26.25 

2483000 

10.29 

7.4 

10.03 

5.22 

9.7 

2.2 

1.35 

22.81 

85.94 

2484000 

13.19 

20.9 

6.62 

17.39 

1.4 

0.7 

17.63 

13.56 

28.08 

2485000 

16.09 

5.5 

3.21 

29.56 

6.0 

24.3 

15.69 

4.30 

87.77 

2486000 

2.09 

19.0 

13.93 

11.80 

10.4 

22.9 

13.77 

20.28 

29.91 

2487000 

4.98 

3.6 

10.52 

23.97 

2.2 

21.4 

11.84 

11.02 

89.60 

2488000 

7.88 

17.1 

7.11 

6.21 

6.7 

20.0 

9.91 

1.77 

31.74 

2489000 

10.78 

1.6 

3.70 

18.39 

11,3 

18.5 

7.98 

17.75 

91.43 

2490000 

13.68 

15.2 

0.29 

0.62 

3.0 

17.1, 

6.05 

8.49 

33.57 

2491000 

16.58 

28.7 

11.01 

12.80 

7.5 

15.7 

4.12 

24.46 

93.26 

2492000 

2.57 

13.3 

7.60 

24.97 

12.0 

14.3 

2.19 

15.21 

35.41 

2493000 

5.47 

26.8 

4.19 

7.21 

3.7 

12.8 

0.26 

5.96 

95.09 

2494000 

8.37 

11.3 

0.77 

19.38 

8.3 

11.4 

16.54 

21.93 

37.24 

2495000 

11.27 

24.9 

11.49 

1.62 

0.0 

9.9 

14.61 

12.68 

96.92 

2496000 

14.17 

9.4 

8.08 

13.79 

4.5 

8.5 

12.68 

3.42 

39.07 

2  197000 

0.16 

23.0 

4.67 

25.96 

9.0 

7.1 

10.75 

19.40 

98.75 

2498000 

3.06 

7.5 

1.26 

8.20 

0.8 

5.6 

8.82 

10.14 

40.90 

2499000 

5.96 

21.1 

11.98 

20.37 

5.3 

4.2 

6.89 

0.89 

100.58 

2500000 

8.86 

5.6 

8.57 

2.61 

9.8 

2.8 

4.96 

16.86 

42.73 

55 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
1'or  Washington  Mean  Noon. 


jul,^7efriod.  ARG.  54.       53.         56.           37.          58.          59          GO.         61.         63. 

2400000 

d. 

4.73 

d 

3.34 

d. 

7.21 

d. 

8.03 

d 

3.77 

d 

11.57 

d 
15.63 

d. 

3.71 

84(0 

2401000 

10.11 

2.35 

10.29 

5.78 

13.02 

37.46 

11.16 

10.16 

11.70 

240-2000 

0.43 

1.35 

0.24 

3.52 

7.01 

24.41 

6.68 

3.61 

0.76 

2403000 

5.82 

0.36 

3.31 

1.26 

1.05 

1  1  .34 

2.20 

10.36 

4.26 

2401000 

11.21 

19.00 

6.38 

15.99 

10.31 

37.24 

20.05 

3.51 

7.76 

240f)000 

1.52 

18.00 

9.45 

13.74 

4.32 

24.18 

15.57 

10.27 

11.27 

2406000 

6.91 

17.00 

12.53 

11.48 

13.57 

11.12 

11.09 

3.41 

0.83 

2107000 

12.30 

16.02 

2.48 

9.22 

7.59 

37.01 

6.62 

10.17 

,3.83 

240SOOO 

2.62 

15.03 

5.55 

6.97 

1.61 

23.96 

2.14 

3.31 

7.33 

2409000 

8.00 

14.03 

8.62 

4.71 

10.86 

10.89 

19.98 

10.07 

10.83 

2410000 

13.39 

1304 

11.70 

2.45 

4.87 

36.79 

15.51 

3.22 

14.33 

2411000 

3.71 

12.05 

1.65 

0.19 

14.13 

23.73 

11.03 

9.97 

3.40 

2412000 

9.10 

11.06 

4.72 

14.93 

8.14 

10.67 

6.55 

3.12 

6.90 

2413000 

14.48 

10.06 

7.79 

12.67 

2.16 

36.56 

2.08 

9.87 

10.40 

2414000 

4.80 

9.07 

10.87 

10.41 

11.41 

23.50 

19.92 

3.02 

13.90 

2415000 

10.19 

8.08 

0.82 

8.15 

5.43 

10.44 

15.44 

9.78 

2.96 

2416000 

0.51 

7.09 

3.89 

5.90 

14.68 

36.34 

10.96 

2.92 

6.16 

2417000 

5.89 

6.10 

6.96 

3.64 

8.70 

23.28 

6.49 

9.68 

9.96 

2418000 

11.28 

5.10 

10.04 

1.38 

2.71 

10.22 

2.01 

2.83 

13.17 

2419000 

1.60 

4.11 

13.11 

16.11 

11.97 

36.11 

19.86 

9.58 

2.53 

2420000 

6.99 

3.12 

3.06 

13.86 

5.98 

23.05 

15.38 

2.73 

6.03 

2  421  000 

12.37 

2.13 

6.13 

11.60 

15.23 

9.99 

10.90 

9.48 

9.53 

•_>  i-^ooo 

2.69 

1.14 

9.20 

9.34 

9.25 

35.89 

6.43 

2.63 

13.03 

2  C23000 

fe.08 

0.14 

12.28 

7.09 

3.26 

22.83 

1.95 

9.38 

2.09 

2424000 

13.47 

18.78 

2.23 

4.83 

12.52 

9.76 

19.79 

2.53 

5.59 

2425000 

3.78 

17.79 

5.30 

2.57 

6.53 

35.66 

15.32 

9.28 

9.10 

•>  1-26000 

9.17 

16.80 

8.37 

0.31 

0.55 

22.60 

10.84 

2.43 

12.60 

•J  1-27000 

14.56 

15.81 

11.45 

15.04 

9.80 

9.54 

6.36 

9.19 

1.66 

-.'  l-.'SOOO 

4.88 

14.81 

1.40 

12.79 

3.82 

35.44 

1.88 

2.33 

5.16 

2429000 

10.26 

13.82 

4.47 

10.53 

13.07 

22.38 

19.73 

9.09 

8.66 

2  430000 

0.58 

12.83 

7.54 

8.27 

7.09 

9.31 

15.25 

2.24 

12.16 

•2  I  :!  1000 

5.97 

11.84 

10.62 

6.02 

1.10 

35.21 

10.77 

8.99 

1.23 

8432000 

11.36 

10.85 

0.57 

3.76 

10.36 

22.15 

630 

2.14 

4.73 

3483000 

1.67 

9.85 

3.64 

1.50 

4.37 

9.09 

1.89 

8,89 

s.-2:t 

•J  13  1000 

7.06 

8.86 

6.71 

16.23 

13.62 

34.98 

19.66 

2.04 

11.73 

2435000 

12.45 

7.87 

9.78 

13.98 

7.61 

21.92 

15.19 

8.79 

0.79 

!2  436000 

2.77 

6.88 

i-2.s6 

11.72 

1.65 

8.86 

10.71 

L.94 

4.29 

2487000 

8.15 

5.89 

2.81 

9.46 

10.91 

31.76 

6.23 

8.70 

7.79 

8438000 

13.54 

4.89 

5.88 

7.21 

4.92 

21.70 

1.76 

1.84 

11.80 

•2  13'JOOO 

3.8G 

3.90 

8.95 

4.95 

14.18 

8.64 

19.60 

8.60 

0.36 

-.'II  01  100 

9.25 

2.90 

.       12.03 

2.69 

8.19 

8448 

15.12 

1.74 

8.86 

•J  II  1000 

14.68 

1.91 

1.98 

0.49 

2.21 

21.47 

10.65 

H.f>0 

7.86 

•2  II  '.'OOO 

4.95 

0.91 

.r).o;> 

15.17 

11.46 

8.41 

6.17 

1.66 

10.86 

2443000 

10.34 

19.56 

8.13 

1  -2.it  1 

5.48 

:n.:u 

1.69 

8.40 

14.36 

V!  1  1  1000 

0.66 

l-v.-u 

11.  '20 

10.65 

14.73 

21.25 

19.54 

1.55 

3.43 

•2  II  r.ooo 

fi.04 

17.57 

1.15 

8.39 

8.75 

8.18 

15.06 

8.30 

8.93 

2446000 

11.43 

16.58 

4.22 

6.14 

2.76 

:M  os 

l()..r»H 

l.ir. 

10.43 

•2i  nono 

]  .7"> 

15.59 

7.'»l 

8.8fl 

12.02 

21.02 

6.11 

8.20 

13.93 

2448000 

-.1  1 

1  1.1,0 

10.87 

1.62 

6.03 

7.(x; 

1.68 

1.38 

•>  II!) 

•21  1'  000 

12.53 

1X60 

0.33 

16.35 

0.05 

:i:t.s6 

19.41 

8.l6 

6.49 

0000 

2.84 

12.61 

3.39 

11.10 

9.30 

20.79 

15.00 

1.25 

9.99 

56 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 

For  Washington  Mean  Noon. 


,,«,,A.,S,   «.    *,     W.     «.     .W.    ,0.    ...    „,. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

d. 

2  150000 

2.84 

12.61 

3.39 

14.10 

9.30 

20.79 

15.00 

1.25 

9.99 

2451000 

8.23 

11.62 

6.46 

11.84 

3.31 

7.73 

10.52 

8.01 

13.50 

2452000 

13.62 

10.63 

9.53 

9.58 

12.57 

33.63 

6.04 

1.16 

2.56 

2453000 

3.93 

9.63 

12.61 

7.33 

6.58 

20.57 

1.57 

7.91 

6.06 

2151000 

9.32 

8.64 

2.56 

5.07 

0.60 

7.51 

19.41 

1.06 

9.56 

2455000 

14.71 

7.65 

5.63 

2.81 

9.85 

33.41 

14.93 

7.81 

13.06 

2456000 

5.03 

6.66 

8.70 

0.55 

3.87 

20.34 

10.46 

0.96 

2.12 

2157000 

10.41 

5.67 

11.78 

15.29 

13.12 

7.28 

5.98 

7.71 

5.62 

2158000 

0.73 

4.67 

1.73 

13.03 

7.14 

33.18 

1.50 

0.86 

9.13 

2159000 

6.12 

3.68 

4.80 

10.77 

1.15 

20.12 

19.35 

7.61 

12.63 

2460000 

11.51 

2.69 

7.87 

8.52 

10.41 

7.05 

14.87 

0.76 

1.69 

2461000 

1.83 

1.69 

10.95 

6.26 

4.42 

32.95 

10.39 

7.52 

5.19 

2462000 

7.21 

0.71 

0.90 

4.00 

13.67 

19.89 

5.92 

0.67 

8.69 

2463000 

12.60 

19.34 

3.97 

1.74 

7.69 

6.83 

1.44 

7.42 

12.19 

2464000 

2.92 

18.35 

7.04 

16.48 

1.70 

32.73 

19.28 

0.57 

1.26 

2465000 

8.31 

17.36 

10.11 

14.22 

10.96 

19.67 

14.81 

7.32 

4.76 

2466000 

13.69 

16.37 

0.07 

11.96 

4.97 

6.60 

10.33 

0.47 

8.26 

2467000 

4.01 

15.38 

3.14 

9.70 

14.23 

32.50 

5.85 

7.22 

11.76 

2168000 

9.40 

14.38 

6.21 

7.45 

8.24 

19.44 

1.38 

0.37 

0.82 

2469000 

14.78 

13.39 

9.28 

5.19 

2.26 

6.38 

19.22 

7.13 

4.32 

2170000 

5.10 

12.40 

12.36 

2.93 

11.51 

32.28 

14.74 

0.26 

7.82 

2171000 

10.49 

11.41 

2.31 

0.67 

5.53 

19.21 

10.27 

7.03 

11.33 

2472000 

0.81 

10.42 

5.38 

15.41 

14.78 

6.15 

5.79 

0.17 

0.39 

2473000 

6.20 

9.42 

8.45 

13.15 

8.80 

32.05 

1.31 

6.93 

3.89 

2471000 

11.58 

8.43 

11.53 

10.89 

2.81 

18.99 

19.16 

0.08 

7.39 

2475000 

1.90 

7.44 

1.48 

8.64 

12.06 

5.93 

14.68 

6.83 

10.89 

2476000 

7.29 

6.45 

4.55 

6.38 

6.08 

31.83 

10.20 

13.59 

14.39 

2477000 

12.67 

5.46 

7.62 

4.12 

0.09 

18.76 

5.72 

6.73 

3.46 

2178000 

2.99 

4.16 

10.70 

1.86 

9.35 

5.70 

1.25 

13.49 

6.96 

2479000 

8.38 

3.47 

0.65 

16.60 

3.36 

31.60 

19.09 

6.63 

10.46 

2480000 

13.77 

2.48 

3.72 

14.34 

12.62 

18.54 

14.62 

13.39 

13.96 

2481000 

4.09 

1.49 

6.79 

12.08 

6.64 

5.47 

10.14 

6.54 

3.02 

2  182000 

9.47 

0.49 

9.86 

9.83 

0.65 

31.37 

5.66 

13.29 

6.52 

2483000 

14.86 

19.13 

12.94 

7.57 

9.90 

18.31 

1.18 

6.44 

10.02 

2481000 

5.18 

18.14 

2.89 

5.31 

3.92 

5.25 

19.03 

13.20 

13.53 

2485000 

10.57 

17.14 

5.96 

3.05 

13.17 

31.15 

14.55 

6.34 

2.59 

2486000 

0.88 

16.15 

9.03 

0.79 

7.19 

18.08 

10.07 

13.10 

6.09 

2487000 

6.28 

15.16 

12.11 

15.53 

1.20 

5.02 

5.60 

6.24 

9.59 

248SOOO 

11.66 

14.17 

2.05 

13.27 

10.46 

30.92 

1.12 

13.00 

13.09 

2189000 

1.97 

13.17 

5.13 

11.01 

4.47 

17.86 

18.96 

6.14 

2.15 

2190000 

7.36 

12.18 

8.20 

8.76 

13.72 

4.79 

14.49 

12.90 

5.65 

2491000 

12.75 

11.19 

11.28 

6.50 

7.74 

30.70 

10.01 

6.04 

9.16 

2192000 

3.07 

10.20 

1.23 

4.24 

1.75 

17.63 

5.53 

12.80 

12.66 

2193000 

8.46 

9.20 

4.30 

1.98 

11.01 

4.57 

1.06 

5.95 

1.72 

2194000 

13.84 

8.21 

7.37 

16.72 

5.02 

30.47 

18.90 

12.70 

5.22 

2495000 

4.16 

7.22 

10.45 

1446 

14.28 

17.41 

14.42 

5.85 

8.72 

2196000 

9.55 

6.23 

0.40 

12.20 

8.29 

4.34 

9.95 

12.61 

12.22 

2197000 

11.93 

5.24 

3.47 

9.95 

2.31 

30.24 

5.47 

5.75 

1.29 

2498000 

5.25 

4.24 

6.54 

7.69 

11.56 

17.18 

0.99 

12.51 

4.79 

2  199000 

10.64 

3.25 

9.61 

5.43 

5.58 

4.12 

18.84 

5.65 

8.29 

2500000 

0.96 

2.26 

12.69 

3.18 

14.83 

30.02 

14.37 

12.41 

11.79 

57 


TABLE  lib. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mcun  Noon. 


juiiIX'od.  AKG.  63.   64.    65.    66.     67.     68.    69.     7O.     71. 

2400000 

d 

7.84 

d. 

25.59 

d. 

3.13 

d. 

7.8 

d 

7.66 

d. 

3.65 

d. 

121.5 

d 
307.1 

d. 

272.0 

2401000 

12.61 

17.81 

4.51 

11.1 

19.70 

7.65 

177.7 

317.7 

104.2 

2402000 

3.73 

10.03 

5.89 

14.4 

4.30 

11.65 

234.0 

328.3 

520.3 

2403000 

8.49 

2.25 

7.26 

17.8 

16.34 

15.65 

290.2 

09.2 

352.4 

2404000 

13.26 

30.46 

8.64 

21.1 

0.94 

19.65 

346.4 

19.8 

184.6 

2405000 

4.38 

22.68 

10.02 

24.4 

12.98 

23.65 

402.6 

30.5 

16.8 

2406000 

9.15 

14.91 

11.41 

27.7 

25.02 

27.65 

458.8 

41.1 

432.8 

2407000 

0.28 

7.13 

12.79 

31.0 

9.61 

3.98 

43.1 

51.7 

265.0 

240SOOO 

5.04 

35.34 

14.16 

34.4 

21.65 

7.98 

99.3 

62.4 

97.2 

2409000 

9.80 

27.56 

1.06 

2.1 

6.25 

11.98 

155.5 

73.0 

513.2 

2410000 

0.93 

19.78 

2.44 

5.4 

18.29 

15.98 

211.8 

83.6 

345.4 

2411000 

5.69 

12.00 

3.82 

8.7 

2.89 

19.98 

268.0 

94.2 

177.5 

2412000 

10.45 

4.22 

5.20 

12.0 

14.93 

23.98 

324.2 

104.8 

9.7 

2413000 

1.58 

32.43 

6.58 

15.3 

26.98 

0.31 

380.4 

115.5 

425.8 

2414000 

6.34 

24.66 

7.96 

18.6 

11.57 

4.31 

436.6 

126.1 

257.9 

2415000 

li.ll 

16.88 

9.33 

22.0 

23.61 

8.31 

21.0 

136.7 

90.1 

2416000 

2.23 

9.10 

10.71 

25.3 

8.20 

12.31 

77.2 

147.3 

506.1 

2417000 

7.00 

1.32 

12.10 

28.6 

20.24 

16.31 

133.4 

157.9 

338.3 

2418000 

11.76 

29.53 

13.48 

31.9 

4.84 

20.31 

189.6 

168.6 

170.5 

2419000 

2.89 

21.75 

0.38 

35.2 

16.88 

24.31 

245.8 

179.2 

2.6 

2420000 

7.65 

13.97 

1.76 

2.9 

1.48 

0.64 

302.0 

189.8 

418.7 

2421000 

12.42 

6.19 

3.14 

6.2 

13.52 

4.64 

358.3 

200.4 

2509 

2422000 

3.54 

34.40 

4.52 

9.5 

25.57 

8.64 

414.5 

211.0 

83.0 

2423000 

8.30 

26.63 

5.89 

12.9 

10.16 

12.64 

470.7 

221.7 

499.1 

2421000 

13.07 

18.85 

7.27 

16.2 

22.20 

16.64 

55.0 

232.3 

331.3 

2425000 

4.19 

11.07 

8.65 

19.5 

6.80 

20.64 

111.2 

243.0 

163.4 

2426000 

8.95 

3.29 

10.03 

22.8 

18.84 

24.64 

167.5 

253.6 

579.5 

2427000 

0.08 

31.50 

11.42 

26.1 

3.43 

0.96 

223.7 

264.2 

411.6 

242HOOO 

4.85 

23.72 

12.79 

29.5 

15.47 

4.96 

279.9 

274.9 

848.8 

2429000 

9.61 

15.94 

14.17 

32.8 

0.07 

8.96 

336.1 

285.5 

76.0 

2430000 

0.74 

8.16 

1.07 

0.5 

12.11 

12.97 

392.3 

296.1 

492.0 

2431000 

5.50 

0.38 

2.45 

3.8 

24.15 

16.97 

448.5 

306.7 

324.2 

2  13-.JOOO 

10.26 

28.60 

3.83 

7.1 

8.75 

20.96 

32.8 

317.3 

156.4 

8433000 

1.39 

20.82 

5.21 

10.5 

20.79 

24.96 

89.1 

328.0 

572.4 

8434000 

6.15 

13.04 

6.59 

13.8 

5.39 

1.29 

145.3 

8.8 

404.6 

2435000 

10.92 

5.26 

7.96 

17.1 

17.43 

5.29 

201.5 

19.5 

236.8 

2436000 

2.04 

83.47 

9.34 

20.4 

2.02 

9.29 

257.7 

30.1 

68.9 

2437000 

6.80 

25.69 

10.72 

23.7 

14.06 

13.29 

313.9 

40.7 

485.0 

2  43KOOO 

11.57 

17.91 

12.11 

27.1 

26.11 

17.29 

370.2 

51.4 

317.1 

2439000 

2.69 

10.13 

13.49 

30.4 

10.70 

21.29 

426.4 

62.0 

149.3 

2  1  10000 

7.46 

2.36 

0.39 

33.7 

22.74 

25.29 

10.7 

72.6 

565.4 

2  11  1000 

12.23 

30.57 

1.77 

1.4 

7.34 

1.62 

66.9 

83.2 

397.5 

2  1  12000 

3.35 

22.79 

3.15 

4.7 

19.38 

5.62 

128.1 

93.8 

229.7 

2443000 

8.11 

15.01 

4.53 

8.1 

3.98 

9.62 

179.3 

104.5 

61.9 

2444000 

12.88 

7.23 

5.91 

11.4 

16.02 

13.62 

235.6 

115.1 

477.9 

2415000 

4.00 

35.44 

7.28 

14.7 

0.62 

17.62 

291.8 

125.8 

310.1 

8446000 

8.76 

27.66 

8.66 

18.0 

12.66 

21.62 

348.0 

136.4 

142.3 

•J  1  17000 

13.53 

19.88 

10.04 

21.3 

24.70 

25.62 

404.2 

147.0 

558.3 

2  1  1HOOO 

4.65 

12.11 

11.43 

24.7 

9.29 

1.95 

460.4 

157.7 

390.5 

8449000 

9.42 

4.33 

12.81 

28.0 

21.33 

5.95 

44.7 

168.3 

222.6 

2450000 

0.54 

32.54 

14.19 

31.3 

5.94 

9.95 

100.9 

178.9 

54.8 

58 


TABLE  lib. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


juii!X°rio,i.  ARG.  63.   64.    65.    66.     67.     68.     69.     TO.     71. 

2450000 

i 
0.54 

(i. 
32.54 

d. 

14.19 

31.3 

d. 

5.94 

d. 

9.95 

100.9 

d 

178.9 

d. 
54.8 

2451000 

5.31 

24.76 

1.09 

34.6 

17.97 

13.95 

157.2 

189.5 

470.9 

2452000 

10.07 

16.98 

2.47 

2.3 

2.57 

17.95 

213.4 

200.1 

303.0 

2453000 

1.20 

9.20 

3.84 

5.6 

14.61 

21.95 

269.6 

210.8 

135.2 

2454000 

5.96 

1.42 

5.22 

8.9 

26.66 

25.95 

325.8 

221.4 

551.3 

2455000 

10.73 

29.64 

6.60 

12.3 

11.25 

2.28 

382.0 

232.1 

383.4 

2456000 

1.85 

21.86 

7.98 

15.6 

23.29 

6.28 

438.3 

242.7 

215.6 

2457000 

6.61 

14.08 

9.36 

18.9 

7.88 

10.28 

22.6 

253.3 

47.7 

2458000 

11.38 

6.30 

10.73 

22.2 

19.92 

14.28 

78.8 

264.0 

463.8 

2459000 

2.50 

34.51 

12.12 

25.5 

4.52 

18.28 

135.0 

274.6 

296.0 

24fiOOOO 

7.26 

26.73 

13.50 

28.8 

16.56 

22.28 

191.2 

285.2 

128.1 

2461000 

12.03 

18.96 

0.40 

32.1 

1.16 

26.28 

247.4 

295.8 

544.2 

2462000 

3.16 

11.18 

1.78 

35.4 

13.20 

2.61 

3037 

306.4 

376.4 

2463000 

7.92 

3.40 

3.16 

3.2 

25.25 

6.61 

3599 

317.1 

208.5 

2464000 

12.69 

31.61 

4.54 

6.5 

9.84 

10.61 

416.1 

327.7 

40.7 

2465000 

3.81 

23.83 

5.91 

9.8 

21.88 

14.61 

0.4 

8.6 

456.8 

2466000 

8.57 

16.05 

7.29 

13.1 

6.47 

18.61 

56.6 

19.2 

288.9 

2467000 

13.34 

8.27 

8.67 

16.4 

18.51 

22.61 

112.8 

29.8 

121.1 

2468000 

4.46 

0.49 

10.05 

19.8 

3.11 

26.61 

169.1 

40.5 

537.2 

2469000 

9.22 

28.71 

11.44 

23.1 

15.15 

2.94 

225.3 

51.1 

369.3 

2470000 

0.35 

20.93 

12.82 

26.4 

27.20 

6.94 

281.5 

61.7 

201.5 

2471000 

5.11 

13.15 

14.20 

29.7 

11.79 

10.94 

337.7 

72.3 

33.6 

2472000 

9.88 

5.37 

1.10 

33.0 

23.84 

14.94 

393.9 

82.9 

449.7 

2473000 

1.01 

33.58 

2.47 

0.8 

8.43 

18.94 

450.1 

93.6 

281.9 

2474000 

5.77 

25.80 

3.85 

4.1 

20.47 

22.94 

34.5 

104.2 

114.0 

2475000 

10.53 

18.03 

5.23 

7.4 

5.07 

26.94 

90.7 

114.9 

530.1 

2  176000 

1.66 

10.25 

6.61 

10.7 

17.11 

3.26 

146.9 

1255 

362.3 

2477000 

6.42 

2.47 

7.99 

14.0 

1.71 

7.26 

203.1 

136.1 

194.4 

2478000 

11.19 

30.68 

9.36 

17.4 

13.75 

11.27 

259.3 

146.8 

26.6 

2479000 

2.31 

22.90 

10.74 

20.7 

25.80 

15.27 

315.6 

157.4 

442.7 

24SOOOO 

7.07 

15.12 

12.13 

24.0 

10.39 

19.27 

371.8 

168.0 

274.8 

2481000 

11.84 

7.34 

13.51 

27.3 

22.43 

23.27 

428.0 

178.6 

107.0 

2482000 

2.96 

35.55 

0.41 

30.6 

7.02 

27.27 

12.3 

189.2 

523.1 

2483000 

7.73 

27.78 

1.79 

34.0 

19.06 

3.59 

68.5 

199.9 

355.2 

2481000 

12.49 

20.00 

3.17 

1.7 

3.66 

7.59 

124.7 

210.5 

187.4 

2485000 

3.62 

12.22 

4.54 

5.0 

15.70 

11.61 

181.0 

221.1 

19.5 

2486000 

8.38 

4.44 

5.92 

8.3 

0.30 

15.61 

237.2 

231.7 

435.6 

2487000 

13.15 

32.65 

7.30 

11.6 

12.34 

19.60 

293.4 

242.3 

267.8 

2488000 

4.27 

24.87 

8.68 

15.0 

24.39 

23.59 

349.6 

253.0 

99.9 

2489000 

9.03 

17.09 

10.06 

18.3 

8.98 

27.59 

405.8 

263.6 

516.0 

2490000 

0.16 

9.31 

11.45 

21.6 

21.02 

3.92 

462.0 

274.2 

348.2 

2491000 

4.92 

1.54 

12.83 

24.9 

5.61 

7.92 

46.4 

284.8 

180.3 

2492000 

9.68 

29.75 

14.21 

28.2 

17.66 

11.93 

102.6 

295.4 

12.5 

2493000 

0.81 

21.97 

1.11 

31.5 

2.25 

15.93 

158.8 

306.1 

428.6 

2494000 

5.58 

14.19 

2.49 

34.8 

14.29 

19.93 

215.0 

316.7 

260.7 

2495000 

10.34 

6.41 

3.86 

2.6 

26.34 

23.93 

271.2 

327.4 

92.9 

2496000 

1.47 

34.62 

5.24 

5.9 

10.93 

0.25 

327.5 

8.2 

508.9 

2497000 

6.23 

26.85 

6.62 

9.2 

22.97 

4.25 

383.7 

18.8 

341.1 

2498000 

11.00 

19.07 

8.00 

12.5 

7.57 

8.25 

439.9 

29.5 

173.3 

2499000 

2.12 

11.29 

9.38 

15.8 

19.61 

12.26 

24.2 

40.1 

5.4 

2500000 

6.88 

3.51 

10.76 

19.1 

4.21 

16.26 

80.4 

50.7 

421.5 

59 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


juried.  ARG.  73.   73.    74.    73.    7G.     78.    7».    8O.    81. 

2400000 

382.9 

1322.1 

a. 
2813 

(i. 
69562 

d 

7287 

71.425 

cl. 

419.9 

& 
192.6 

65.60 

2401000 

186.2 

131.8 

581 

70562 

8287 

130.418 

104.8 

253.4 

71.96 

2402000 

388.5 

1131.8 

1581 

71562 

9287 

1.209 

228.1 

1.2 

78.32 

2403000 

191.8 

2131.8 

2581 

72562 

10287 

60.202 

351.3 

62.1 

84.69 

2404000 

394.1 

941.5 

348 

73562 

11286 

119.194 

36.3 

122.9 

91.05 

2405000 

197.4 

1941.5 

1348 

74562 

12286 

178.187 

159.5 

183.7 

97.41 

2406000 

0.8 

751.2 

2348 

75562 

13286 

48.978 

282.8 

244.5 

103.78 

2407000 

203.0 

1751.2 

115 

76562 

14286 

107.971 

406.  1 

305.4 

110.14 

2408000 

6.3 

560.8 

1115 

77562 

15285 

166.963 

91.0 

53.2 

116.51 

2409000 

208.6 

1560.8 

2115 

78562 

16285 

37.754 

214.3 

114.0 

122.87 

2410000 

11.9 

370.5 

3115 

79562 

17285 

96.747 

337.6 

174.8 

5.03 

2411000 

214.1 

1370.5 

882 

80562 

18285 

155.740 

22.5 

235.7 

11.39 

2412000 

17.5 

180.1 

1882 

81562 

19285 

26.531 

145.8 

296.5 

17.75 

2413000 

219.7 

1180.1 

2882 

82562 

20284 

85.524 

269.1 

44.3 

24.12 

2414000 

23.1 

2180.1 

649 

83562 

21284 

144.516 

392.3 

105.1 

30.49 

2415000 

225.3 

989.8 

1649 

84562 

22284 

15.308 

77.3 

166.0 

36.85 

2416000 

28.6 

1989.8 

2649 

809 

23284 

74.300 

200.5 

226.8 

43.21 

2417000 

230.9 

799.4 

416 

1809 

24283 

133.293 

323.8 

287.6 

49.58 

84  18000 

34.2 

1799.4 

1416 

2809 

25283 

4.084 

8.7 

35.4 

55.94 

2419000 

236.5 

609.1 

2416 

3809 

26283 

63.077 

132.0 

96.3 

62.31 

2420000 

39.8 

1609.1 

183 

4809 

27283 

122.069 

255.3 

157.1 

68.67 

2421000 

242.0 

418.8 

1183 

5809 

28283 

181.062 

378.6 

217.9 

75.03 

212-2000 

45.4 

1418.8 

2183 

6809 

29283 

51.853 

63.5 

278.7 

81.39 

2423000 

247.6 

228.4 

3183 

7809 

30282 

110.846 

186.8 

26.5 

87.76 

2421000 

51.0 

1228.4 

951 

8809 

31282 

169.839 

310.0 

87.4 

94.12 

2425000 

253.2 

38.1 

1951 

9809 

32282 

40.630 

433.3 

148.2 

100.48 

2426000 

56.5 

1038.1 

2951 

10809 

33281 

99.623 

118.3 

209.0 

106.85 

2  127000 

258.8 

2038.1 

718 

11809 

34281 

158.615 

241.5 

269.9 

113.21 

2  428000 

62.1 

847.7 

1718 

12809 

35280 

29.407 

364.8 

17.7 

119.58 

2429000 

264.4 

1847.7 

2718 

13809 

36280 

88.399 

49.7 

78.5 

1.74 

2430000 

67.7 

657.4 

485 

14809 

37280 

147.392 

173.0 

139.3 

8.10 

2431000 

269.9 

1657.4 

1485 

15809 

38280 

18.183 

296.3 

200.2 

14.46 

"2  132000 

73.3 

467.1 

2485 

16809 

39279 

77.176 

419.6 

261.0 

20.82 

2  433000 

275.5 

1467.1 

252 

17809 

40279 

136.169 

104.5 

8.8 

27.19 

2434000 

78.9 

276.7 

1252 

18809 

41278 

6.960 

227.8 

69.6 

33.55 

2435000 

281.1 

1276.7 

2252 

19809 

42278 

65.953 

351.0 

130.5 

39.91 

2436000 

84.4 

86.4 

19 

20809 

43278 

124.946 

36.0 

191.3 

46.28 

2437000 

286.7 

1086.4 

1019 

21809 

44277 

183.939 

159.2 

252.1 

52.64 

2  138000 

90.0 

2086.4 

2019 

22809 

45277 

54.730 

282.5 

312.9 

59.01 

2439000 

292.2 

896.0 

3019 

23809 

46276 

113.723 

405.8 

60.7 

65.37 

2440000 

95.6 

1896.0 

786 

24809 

47276 

172.716 

90.7 

121.6 

71.73 

2441000 

297.8 

705.7 

1786 

38809 

48276 

48.801 

214.0 

182.4 

78.09 

2442000 

101.2 

1705.7 

2786 

26809 

49275 

102.500 

337.3 

243.2 

84.45 

2  1  13000 

303,4 

515.3 

554 

27809 

50275 

161.493 

22.2 

304.1 

90.82 

2  4  1  4000 

106.8 

1515.3 

1554 

28809 

51274 

32.284 

145.5 

51.9 

97.18 

2445000 

309.0 

325.0 

2554 

29809 

52274 

91.277 

268.8 

112.7 

103.54 

3446000 

112.3 

1325.0 

321 

30809 

5327  1 

150.270 

392.0 

173.5 

109.91 

2  1  17000 

314.6 

134.7 

1321 

31809 

54273 

21.061 

77.0 

234.4 

116.27 

3448000 

117.9 

1184.7 

2321 

32809 

55273 

80.054 

200.2 

295.2 

122.64 

3449000 

320.1 

2134.6 

88 

33809 

56272 

139.047 

323.5 

43.0 

4.80 

2  150000 

123.5 

944.3 

1088 

34809 

57272 

9.838 

8.4 

103.8 

11.16 

60 


TABLE  lib. 


Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


fay  of   AUG.  72.   73.    74.    7.T.    7G.     78.     79.     8O.    81. 

Julian  Period. 

2450000 

d. 

123.5 

d. 

944.3 

1088 

34809 

57272 

9.838 

d. 

8.4 

103.8 

d. 

11.16 

2451000 

325.7 

1944.3 

2088 

35809 

58272 

68.831 

131.7 

164.6 

17.52 

2452000 

129.1 

753.9 

3088 

36809 

59271 

127.824 

255.0 

225.5 

23.89 

2453000 

331.3 

1753.9 

855 

37809 

60271 

186.817 

378.3 

286.3 

30.25 

2454000 

134.7 

563.6 

1855 

38809 

61270 

57.609 

63.2 

34.1 

36.62 

2455000 

336.9 

1563.6 

2855 

39809 

62270 

116.601 

186.5 

94.9 

42.98 

2456000 

140.2 

373.2 

622 

40809 

63270 

175.594 

309.8 

155.8 

49.34 

2457000 

342.5 

1373.2 

1622 

41809 

64269 

46.386 

433.0 

216.6 

55.71 

2458000 

145.8 

182.9 

2622 

42809 

65269 

105.379 

118.0 

277.4 

62.07 

2459000 

348.0 

1182.9 

389 

43809 

66268 

164.372 

241.2 

25.2 

68.44 

2460000 

151.4 

2182.9 

1389 

44809 

67268 

35.163 

364.5 

86.0 

74.80 

2461000 

353.6 

992.5 

2389 

45809 

68268 

94.156 

49.4 

146.9 

81.16 

2462000 

157.0 

1992.5 

157 

46809 

69267 

153.149 

172.7 

207.7 

87.52 

2463000 

359.2 

802.2 

1157 

47809 

70267 

23.941 

296.0 

268.5 

93.89 

2464000 

162.5 

1802.2 

2157 

48809 

71266 

82.934 

419.3 

16.3 

100.25 

2465000 

364.8 

611.8 

3157 

49809 

72266 

141.927 

104.2 

77.2 

106.61 

2466000 

168.1 

1611.8 

924 

50809 

73265 

12.718 

227.5 

138.0 

112.98 

2467000 

370.4 

421.5 

1924 

51809 

74264 

71.711 

350.8 

198.8 

119.34 

2468000 

173.7 

1421.5 

2924 

52809 

75264 

130.704 

35.7 

259.7 

1.51 

2469000 

375.9 

231.1 

691 

53809 

76263 

1.496 

159.0 

7.5 

7.87 

2470000 

179.3 

1231.1 

1691 

54809 

77263 

60.489 

282.2 

68.3 

14.23 

2471000 

381.5 

40.8 

2691 

55809 

78262 

119.482 

405.5 

129.1 

20.59 

2472000 

184.9 

1040.8 

458 

56809 

79262 

178.475 

90.4 

189.9 

26.95 

2473000 

387.1 

2040.8 

1458 

57809 

80261 

49.267 

213.7 

250.8 

33.32 

2474(100 

190.4 

850.4 

2458 

58809 

81261 

108.260 

337.0 

311.6 

39.68 

2475000 

392.7 

1850.4 

225 

59809 

82260 

167.253 

21.9 

59.4 

46.04 

2476000 

196.0 

660.1 

1225 

60809 

83259 

38.044 

145.2 

120.2 

52.41 

2477000 

398.3 

1660.1 

2225 

61809 

84259 

97.037 

268.5 

181.1 

58.77 

2478000 

201.6 

469.7 

3225 

62809 

85258 

156.030 

391.8 

241.9 

65.14 

2479000 

5.0 

1469.7 

992 

63809 

86258 

26.822 

76.7 

302.7 

71.50 

2480000 

207.2 

279.4 

1992 

64809 

87257 

85.815 

200.0 

50.5 

77.86 

2481000 

10.5 

1279.4 

2992 

65809 

88256 

144.808 

323.2 

111.3 

84.22 

2482000 

212.8 

89.0 

759 

66809 

89256 

15.600 

8.2 

172.2 

90.58 

2483000 

16.1 

1089.0 

1759 

67809 

90255 

74.593 

131.4 

233.0 

96.95 

'  2484000 

218.3 

2089.0 

2759 

68809 

91255 

133.586 

254.7 

293.8 

103.31 

2485000 

21.7 

898.6 

527 

69809 

92254 

4.378 

378.1 

41.6 

109.67 

2486000 

223.9 

1898.6 

1527 

70809 

93253 

63.371 

62.8 

102.5 

116.04 

2487000 

27.3 

708.3 

2527 

71809 

94253 

122.364 

186.2 

163.3 

122.40 

2488000 

229.5 

1708.3 

294 

72809 

95252 

181.357 

309.5 

224.1 

4.57 

2489000 

32.9 

517.9 

1294 

73809 

762 

52.149 

432.8 

284.9 

10.93 

2490000 

235.1 

1517.9 

2294 

74809 

1761 

111.142 

117.7 

32.7 

17.29 

2491000 

38.4 

327.6 

61 

75809 

2760 

170.135 

241.0 

93.6 

23.65 

2492000 

240.7 

1327.6 

1061 

76809 

3759 

40.927 

364.2 

154.4 

30.02 

2493000 

44.0 

137.2 

2061 

77809 

4759 

99.920 

49.2 

215.2 

36.38 

2494000 

246.2 

1137.2 

3061 

78809 

5758 

158.913 

172.4 

276.1 

42.75 

2495000 

49.6 

2137.2 

828 

79808 

6758 

29.705 

295.7 

23.9 

49.11 

2496000 

251.8 

946.9 

1828 

80808 

7757 

88.698 

419.0 

84.7 

55.47 

2497000 

55.2 

1946.8 

2828 

81808 

8756 

147.691 

103.9 

145.5 

61.84 

2498000 

257.4 

756.5 

595 

82808 

9756 

18.483 

227.2 

206.4 

68.20 

2499000 

60.7 

1756.5 

1595 

83808 

10755 

77.476 

350.5 

267.2 

74.57 

2500000 

263.0 

566.1 

2595 

55 

11754 

136.470 

35.4 

15.0 

80.93 

61 


TABLE  II&. 

Epochs  and  Arguments  for  eacli  Thousandth  Day,  from  2 100000  to  2500000. 
For  Washington  Mean  Noon. 


juhWriod.     ARG.  82.       83.           84.            85.         86.          87.            88.          89.        9O. 

2100000 

d. 

11.655 

d. 

5.56 

ii. 
5.63 

d. 

3.09 

d. 
6.02 

a. 
4.84 

.1 
7.28 

d. 

8.4? 

X 
0.0 

2401000 

0.801 

25.27 

10.17 

15.27 

10.67 

10.27 

9.9( 

4.23 

31.6 

2402000 

4.812 

5.77 

14.72 

3.94 

15.31 

1.48 

12.64 

0.00 

30.9 

2403000 

8.823 

25.48 

0.12 

16.13 

19.95 

6.91 

0.66 

15.08 

30.2 

2404000 

12.834 

5.98 

4.66 

4.80 

24.59 

12.33 

3.34 

10.85 

29.5 

2405000 

1.980 

25.69 

9.20 

16.99 

29.24 

3.55 

6.0: 

6.62 

28.8 

2406000 

5.991 

6.18 

13.74 

5.65 

33.88 

8.98 

8.71 

2.39 

28.1 

2107000 

10.003 

25.89 

18.29 

17.84 

0.24 

0.20 

11.39 

17.47 

27.4 

2108000 

14.014 

6.39 

3.69 

6.51 

4.89 

5.62 

14.07 

13.23 

26.7 

2409000 

3.160 

26.10 

8.23 

18.70 

9.53 

11.05 

2.09 

9.00 

26.0 

2410000 

7.171 

6.60 

12.77 

7.37 

14.17 

2.26 

4.77 

4.77 

25.3 

2411000 

11.182 

26.30 

17.31 

19.55 

18.81 

7.69 

7.46 

0.54 

24.6 

2412000 

0.328 

6.80 

2.71 

8.22 

23.46 

13.11 

10.14 

15.62 

23.9 

2413000 

4.339 

26.51 

7.26 

20.41 

28.10 

4.33 

12.82 

11.39 

23.2 

2414000 

8.351 

7.01 

11.80 

9.08 

32.74 

9.76 

0.84 

7.16 

22.5 

2115000 

12.362 

26.72 

16.34 

21.27 

37.39 

0.98 

3.52 

2.92 

21.8 

2416000 

1508 

7.22 

1.74 

9.93 

3.75 

6.40 

6.21 

18.01 

21.0 

2417000 

5.519 

26.93 

6.28 

22.12 

8.39 

11.83 

8.89 

13.77 

20.3 

2418000 

9.530 

7.42 

10.83 

10.79 

13.03 

3.04 

11.57 

9.54 

19.6 

2419000 

13.542 

27.13 

15.37 

22.98 

17.68 

8.47 

14.25 

5.31 

18.9 

2420000 

2.687 

7.63 

0.77 

11.65 

22.32 

13.90 

2.27 

1.08 

18.2 

2421000 

6.698 

27.34 

5.31 

0.32 

26.96 

5.12 

4.95 

16.16 

17.5 

2422000 

10.710 

7.84 

9.86 

12.50 

31.61 

10.54 

7.64 

11.93 

16.8 

2423000 

11.721 

27.54 

14.40 

1.17 

36.25 

1.76 

10.32 

7.69 

16.1 

2424000 

3.867 

8.04 

18.94 

13.36 

2.61 

7.18 

13.00 

3.46 

15.4 

2425000 

7.878 

27.75 

4.34 

2.03 

7.25 

12.61 

1.02 

18.54 

11.7 

2126000 

11.889 

8.25 

8.88 

14.22 

11.90 

3.83 

3.70 

11.31 

14.0 

•J  127000 

1.035 

27.96 

13.43 

2.88 

16.54 

9.25 

6.39 

10.08 

13.3 

2138000 

5.046 

8.46 

17.97 

15.07 

21.18 

0.47 

9.07 

585 

12.6 

2  129000 

9.058 

28.17 

3.37 

3.74 

25.83 

5.90 

11.75 

1.62 

11.9 

'J  130000 

13.069 

8.66 

7.91 

15.93 

30.47 

11.32 

1  1.43 

16.70 

11.2 

2431000 

2.215 

28.37 

12.45 

4.60 

35.11 

2.5  1 

2.45 

12.46 

10.5 

•2  132000 

6.226 

8.87 

17.00 

16.78 

1.47 

7.96 

5.13 

8.28 

9.8 

2  133000 

10.237 

28.58 

2.40 

5.45 

6.12 

13.39 

7.82 

4.00 

9.1 

•J  13  4000 

14.248 

9.08 

6.94 

17.64 

10.76 

4.61 

10.50 

19.08 

8.4 

8485000 

3.394 

28.79 

11.48 

6.31 

15.40 

10.03 

13.18 

11.85 

7.7 

8486000 

7.405 

9.28 

16.02 

18.50 

20.05 

1.25 

1.20 

10.62 

7.0 

2  137000 

11.417 

28.99 

1.42 

7.H) 

24.09 

6.68 

B.86 

6.3$ 

6.3 

8438000 

0.562 

9.49 

5.97 

19.35 

29.33 

18.10 

«.56 

2.15 

5.6 

2  139000 

4.574 

29.20 

10.51 

8.02 

3397 

3.32 

9.2$ 

17.23 

4.9 

•J  1  10000 

8.585 

11.70 

15.05 

20.21 

0.33 

8.74 

11.93 

13.00 

4.2 

8441000 

12.504 

29.40 

0.45 

B£a 

4.98 

1  1.17 

1  U!2 

8.77 

3.5 

•J  1  12000 

1.742 

9.90 

4.99 

21.07 

9.69 

5.39 

2.60 

4.54 

2.8 

3443000 

5.758 

29.6/1 

9.54 

9.78 

14.26 

10.88 

5.38 

0.31 

2.1 

•J  1  1  1000 

9.765 

10.11 

14.08 

21.92 

18.91 

2.03 

N.OO 

15.39 

1.4 

2448000 

13.776 

29.82 

18.62 

10.59 

23.55 

7.46 

10.68 

11.15 

0.7 

8446000 

2.939 

10.32 

4.02 

82.78 

28.19 

12.88 

13.36 

6.92 

32.2 

8447000 

6.933 

30.03 

8.56 

11.45 

32.84 

4.10 

1.88 

2.68 

31.5 

V!l  MIOO 

10.944 

10.52 

13.11 

0.11 

37.48 

9.60 

4.06 

17.77 

30.8 

2440000 

0.090 

30.23 

17.(i5 

12.30 

3.N  I 

0.74 

6.75 

13.51 

30.1 

•_'  i:>0(KM) 

4.101 

10.73 

3.05 

0.97 

8.48 

6.17 

9.43 

9.31 

29.4 

- 

62 


TABLE  lib. 

Epochs  and  Arguments  for  each  Thousandth  Day,  from  2400000  to  2500000. 
For  Washington  Mean  Noon. 


juiMiod.  ARG.  82.   83.    84.     83.    86.    87.     88.    89.   OO. 

2450000 

<!. 

4.101 

d. 

10.73 

d. 

3.05 

d. 

0.97 

d. 

8.48 

d. 

6.17 

d. 

9.43 

d. 

9.3 

d. 

29.4 

2451000 

8.113 

30.44 

7.59 

13.16 

13.13 

11.59 

12.11 

5.08 

28.7 

2452000 

12.124 

10.94 

12.14 

1.83 

17.77 

2.81 

0.13 

0.84 

28.0 

2453000 

1.269 

30.64 

16.68 

14.01 

22.41 

8.24 

2.81 

15.92 

27.3 

2454000 

5.281 

11.14 

2.08 

2.68 

27.05 

13.66 

5.50 

11.69 

26.6 

2455000 

9.293 

30.85 

6.62 

14.87 

31.70 

4.88 

8.18 

7.46 

25.9 

2456000 

13.304 

11.35 

11.16 

3.54 

36.34 

10.30 

10.86 

3.23 

25.2 

2457000 

2.450 

31.06 

15.71 

15.72 

2.70 

1.52 

13.54 

18.3 

24.5 

2458000 

6.461 

11.56 

1.11 

4.39 

7.34 

6.95 

1.56 

14.08 

23.8 

2459000 

10.472 

31.27 

5.65 

16.58 

11.99 

12.37 

4.24 

9.85 

23.1 

2460000 

14.483 

11.76 

10.19 

5.25 

16.63 

3.59 

6.93 

5.6 

22.4 

2461000 

3.629 

31.47 

14.73 

17.44 

21.27 

9.01 

9.61 

1.38 

21.7 

2162000 

7.641 

11.97 

0.13 

6.11 

25.92 

0.23 

12.29 

16.46 

21.0 

2463000 

11.652 

31.68 

4.68 

18.30 

30.56 

5.66 

0.31 

12.23 

20.3 

2464000 

0.798 

12.18 

9.22 

6.96 

35.20 

11.08 

2.99 

8.00 

19.6 

2465000 

4.809 

31.89 

13.76 

19.15 

1.56 

2.30 

5.68 

3.77 

18.9 

2466000 

8.820 

12.38 

18.30 

7.82 

6.21 

7.73 

8.36 

18.85 

18.1 

2467000 

12.832 

32.09 

3.70 

20.01 

10.85 

13.15 

11.04 

14.62 

17.4 

2468000 

1.977 

12.59 

8.25 

8.68 

15.49 

4.37 

13.73 

10.38 

16.7 

2469000 

5.989 

32.30 

12.79 

20.86 

20.13 

9.80 

1.74 

6.15 

16.0 

2470000 

10.000 

12.80 

17.33 

9.53 

24.78 

1.01 

4.42 

1.92 

15.3 

2471000 

14.011 

32.50 

2.73 

21.72 

29.42 

6.44 

7.11 

17.00 

14.6 

247-2000 

3.157 

13.00 

7.27 

10.39 

34.06 

11.86 

9.79 

12,77 

13.9 

2473000 

7.169 

32.71 

11.82 

22.58 

0.42 

3.08 

12.47 

8.54 

13.2 

2474000 

11.180 

13.21 

16.36 

11.24 

5.07 

8.51 

0.49 

4.31 

12.5 

2475000 

0.326 

32.92 

1.76 

23.43 

9.71 

13.93 

3.17 

0.07 

11.8 

2476000 

4.337 

13.42 

6.30 

12.10 

14.35 

5.15 

5.86 

15.15 

11.1 

2477000 

8.348 

33.13 

10.84 

0.77 

19.00 

10.58 

8.54 

10.92 

10.4 

2478000 

12.360 

13.62 

15.39 

12.96 

23.64 

1.80 

11.22 

6.69 

9.7 

2479000 

1.506 

33.33 

0.79 

1.62 

28.28 

7.22 

13.91 

2.46 

9.0 

2480000 

5.517 

13.83 

5.33 

13.81 

32.93 

12.65 

1.92 

17.54 

8.3 

2481000 

9.528 

33.54 

9.87 

2.48 

37.57 

3.86 

4.60 

13.31 

7.6 

2482000 

13.540 

14.04 

14.42 

14.67 

3.93 

9.29 

7.29 

9.08 

6.9 

2483000 

2.685 

33.75 

18.96 

3.34 

8.57 

14.71 

9.97 

4.84 

6.2 

2484000 

6.697 

14.24 

4.36 

15.53 

13.21 

5.93 

12.65 

0.61 

5.5 

2485000 

10.708 

33.95 

8.90 

4.19 

17.86 

11.36 

0.67 

15.69 

4.8 

2486000 

14.719 

14.45 

13.44 

16.38 

22.50 

2.58 

3.35 

11.46 

4.0 

2487000 

3.865 

34.16 

17.99 

5.05 

27.14 

8.00 

6.04 

7.23 

3.3 

2488000 

7.877 

14.66 

3.39 

17.24 

31.79 

13.43 

8.72 

3.00 

2.6 

2489000 

11.888 

34.37 

7.93 

5.91 

36.43 

4.65 

11.40 

18.08 

1.9 

2490000 

1.034 

14.86 

12.47 

18.09 

2.79 

10.07 

14.09 

13.85 

1.2 

2491000 

5.045 

34.57 

17.01 

6.76 

7.43 

1.29 

2.10 

9.61 

0.5 

2492000 

9.056 

15.07 

2.41 

18.95 

12.08 

6.71 

4.79 

5.38 

32.1 

2493000 

13.068 

34.78 

6.96 

7.62 

16.72 

12.14 

7.47 

1.15 

31.4 

2494000 

2.214 

15.28 

11.50 

19.81 

21.36 

3.36 

10.15 

16.23 

30.7 

2495000 

6.225 

34.99 

16.04 

8.47 

26.00 

8.78 

12.83 

12.00 

30.0 

2496000 

10.236 

15.48 

1.44 

20.66 

30.65 

0.00 

0.85 

7.77 

29.3 

2497000 

14.247 

35.19 

5.98 

9.33 

35.29 

5.43 

3.53 

3.53 

28.6 

2498000 

3.393 

15.69 

10.53 

21.52 

1.65 

10.85 

6.22 

18.62 

27.9 

2499000 

7.405 

35.40 

15.07 

10.19 

6.29 

2.07 

8.90 

14.38 

27.2 

2500000 

11.416 

15.90 

0.47 

22.37 

10.94 

7.49 

11.58 

10.15 

26.5 

63 


TABLE    Ilia. 


Change  of  Mean  Longitude,  and  Longitude  of  the  Node  for  any  Interval  of  Time  less  than  1000  Days. 


DAYS.       n'          &U'        afou'       (y-u')      A  (yn') 

0 

0    0.00 

0     0.00 

0.00 

o°   6.0 

• 

0.0 

10 

131  2750.28 

1  1143.50 

47.44 

0  1906.3 

19.1 

20 

263  1900.56 

2  2287.01 

94.87 

'  1   212.7 

3s.  1 

30 

35  1050.84 

3  3430.51 

142.31 

1  2119.0 

57.2 

40 

167   201.12 

5   974.01 

189.74 

2   425.3 

76.3 

50 

298  2951.40 

6  2117.51 

237.18 

2  2331.7 

953 

60 

70  2101.69 

7  3261.02 

284.61 

3   638.0 

114.4 

70 

202  1251.97 

9   804.52 

332.05 

3  2511.:! 

183.4 

80 

334   402.25 

10  1948.02 

379.48 

4   850.7 

152.5 

90 

105  3152.53 

11  3091.53 

426.92 

4  2757.0 

171.6 

100 

237  2302.81 

13   635.03 

474.35 

5  1063.4 

190.6 

110 

9  1453.09 

14  1778.53 

521.79 

5  2969.7 

209.7 

120 

141   603.37 

15  2922.03 

569.22 

6  1276.1 

228.8 

130 

272  3353.65 

17   465.54 

616.66 

6  3182.4 

247.8 

140 

44  2503.93 

18  1609.04 

664.09 

7  1488.7 

266.9 

150 

176  1654.21 

19  2752.54 

711.53 

7  3395.1 

2860 

160 

308   804.50 

21   29604 

758.96 

8  1701.4 

305.0 

170 

79  3554.78 

22  143!  (.55 

806.40 

9     7.7 

324.1 

180 

211  2705.06 

23  "2583.05 

853.83 

9  1914.1 

343.1 

190 

343  1855.34 

25   126.55 

901.27 

10   220.4 

362.2 

200 

115  1005.62 

26  1270.06 

948.70 

10  2126.7 

381.3 

210 

247   155.90 

27  2413.56 

996.14 

11   433.1 

400.3 

220 

18  2906.18 

28  3557.06 

1043.57 

11  2339.4 

419.4 

230 

150  2056.46 

30  1100.56 

1091.01 

12   645.7 

438.5 

240 

282  12D6.74 

31  2244.07 

1138.44 

12  2552.1 

457.5 

250 

54   357.02 

32  338757 

1185.88 

13   858.4 

476.6 

260 

185  3107.30 

34   931.07 

1233.31 

13  2764.7 

495.6 

270 

317  2257.59 

35  2074.58 

1280.75 

14  1071.1 

511.7 

280 

89  1407.87 

36  3218.08 

1828.18 

14  2977.4 

5338 

290 

221   558.15 

38   761.58 

1375.62 

15  1283.7 

552.8 

300 

352  3308.43 

39  1905.08 

1423.05 

15  3190.1 

571.9 

310 

124  2458.71 

40  30  1*..™ 

1470.49 

16  1496.4 

691.0 

320 

256  1608.99 

42   5!>2.0!> 

1517.92 

16  3402.7 

610.0 

330 

28   75!  1.27 

43  1735.59 

1565.36 

17  1709.1 

62!  1.  1 

340 

159  3509.55 

44  2879.10 

1612.79 

18    15.4 

648.2 

350 

291  2659.83 

46   422.60 

1660.23 

18  1921.7 

667.2 

360 

63  181011 

47  1566.10 

1707.66 

19   22N.  1 

686.3 

370 

195   960.39 

48  2709.60 

1755.10 

19  2134.5 

705.8 

380 

327   110.67 

50   25H.11 

1802.59 

20   440.7 

72  I.I 

390 

98  2860.95 

51  1396.61 

1849.97 

20  2317.1 

743.5 

400 

230  2011.24 

52  2540.11 

1897.40 

21   653.5 

762.5 

410 

2  1161.52 

54    83.62 

1944.84 

21  2559.7 

781.6 

120 

134   311.80 

;•:•  1227.12 

1992.27. 

22   866.1 

800.7 

480 

265  30<i20> 

56  2370.62 

2089.71 

22  2772.5 

819.7 

440 

37  2212.36 

57  3514.12 

2087.14 

2:!  1078.7 

838.8 

450 

169  1362.64 

50  1057.63 

2134.58 

23  2985.1 

857.9 

480 

301   512.92 

60  2201.13 

2182.01 

21  1291.5 

876.9 

470 

72  3263.20 

61  334J.6:i 

222!),i:> 

21  3197.7 

896.0 

480 

204  2li:t.  is 

63    SSN.13 

2276.88 

25  ]  50  1.1 

915.0 

190 

3:«5  15(13.76 

64  2031.64 

2324.32 

25  31105 

994.1 

500 

108   714.01 

65  3175.14 

2871.78 

26  1716.8 

953.2 

64 


TABLE    Ilia. 


of  Mean  Longitude,  and  Longitude  of  the  Node  for  any  Interval  of  Time  less  than  1000 


DAYS.         U'             &U'          loiwll'         (y-U;)       iJs  (y-U') 

500 

108   714.04 

65  3175.14 

2371.75 

26  1716.8 

953.2 

510 

239  3464.33 

67   718.64 

2419.19 

27   23.2 

9722 

520 

11  2614.61 

68  1862.15 

2466.62 

27  1929.5 

991.3 

530 

143  1764.89 

69  3005.65 

2514.06 

28   235.8 

1010.4 

540 

275   915.17 

71   549.15 

2561.49 

28  2142.2 

1029.4 

550 

47    65.45 

72  1692.65 

2608.93 

29   448.6 

1048.5 

560 

178  2815.73 

73  2836.16 

2656.36 

29  2354.9 

1067.5 

570 

310  1966.01 

75   379.66 

2703.80 

30   661.2 

1086.6 

580 

82  1116.29 

76  1523.16 

2751.23 

30  2567.6 

1  105.7 

590 

214   266.57 

77  2666.67 

2798.67 

31   873.9 

1124.7 

600 

345  3016.85 

79   210.17 

2846.10 

31  2780.2 

1143.8 

610 

117  2167.13 

80  1353.67 

2893.54 

32  1086.6 

1162.9 

620 

249  1317.42 

81  2497.17 

2940.97 

32  2993.0 

1181.9 

630 

21   467.70 

83    40.68 

2988.41 

33  1299.3 

1201.0 

640 

152  3217.98 

84  1184.18 

3035.84 

33  3205.6 

1220.1 

650 

284  2368.26 

85  2327.68 

3083.28 

34  1512.0 

1239.1 

660 

56  1518.54 

86  3471.19 

3130.71 

34  3418.3 

1258.2 

670 

188   668.82 

88  1014.69 

3178.15 

35  1724.6 

1277.3 

680 

319  3419.10 

89  2158.19 

3225.58 

36    31.0 

1296.3 

690 

91  2569.38 

90  3301.69 

3273.02 

36  1937.3 

1315.4 

700 

223  1719.66 

92   845.20 

3320.45 

37   243.6 

1334.4 

710 

355   869.94 

93  1988.70 

3367.89 

37  2150.0 

1353.5, 

720 

127    20.22 

94  3132.20 

3415.32 

38   456.3 

1372.6 

730 

258  2770.51 

96   675.71 

3462.76 

38  2362.7 

1391.6 

740 

30  1920.79 

97  1819.21 

3510.19 

39   669.0 

1410.7 

750 

162  1071.07 

98  2962.71 

3557.63 

39  2575.3 

1429.8 

760 

294   221.35 

100   506.21 

3605.06 

40   881.7 

1448.8 

770 

65  2971.63 

101  1649.72 

3652.50 

40  2788.0 

1467.9 

780 

197  2121.91 

102  2793.22 

3699.93 

41  1094.3 

1486.9 

790 

329  1272.19 

104   336.72 

3747.37 

41  3000.6 

1506.0 

800 

101   422.47 

105  1480.22 

3794.80 

42  1306.9 

1525.1 

810 

232  3172.75 

106  2623.73 

3842.24 

42  3213.2 

1544.1 

820 

4  2323.03 

108   167.23 

3889.67 

43  1519.6 

1563.2 

830 

136  1473.31 

109  1310.73 

3937.11 

43  3425.9 

1582.3* 

840 

268   623.59 

110  2454.24 

3984.54 

44  1732.2 

1601.3 

850 

39  3373.88 

111  3597.74 

4031.98 

45    38.6 

1620.4' 

860 

171  2524.16 

113  1141.24 

4079.41 

45  1944.9 

1639.4 

870 

303  1674.44 

114  2284.74 

4126.85 

46   251.3 

1658.5 

880 

75   824.72 

115  3428.25 

4174.28 

46  2157.6 

1677.6 

S90 

206  3575.00 

117   971.75 

4221.72 

47   463.9 

1696.6 

' 

100 

338  2725.28 

118  2115.25 

4269.15 

47  2370.3 

1715.7 

910 

110  1875.56 

1  19  3258.76 

4316.59 

48   676.6 

1734.8 

1 

920 

242  1025.84 

121   802.26 

4364.02 

48  2582.9 

1753.8 

1 

930 

14   176.12 

122  1945.76 

4411.46 

49   889.3 

1772.9 

940 

145  2926.40 

123  3089.26 

4458.89 

49  2795.7 

1792.p 

950 

277  2076.68 

125   632.77 

4506.33 

50  1102.0 

isfii.o 

960 

49  1226.97 

126  1776.27 

4553.76 

50  3008.3 

iifjsoii 

970 

181   377.25 

127  2919.77 

4601.20 

51  1314.7 

1/849.1 

980 

312  3127.53 

129   463.28 

4648.63 

51  3221.0 

/  '  1868.2 

990 

84  2277.81 

130  1606.78 

4696.07 

52  1527.3 

1887.3- 

1000 

216  1428.09 

131  2750.28 

4743.50 

52  3433.7 

1906.3 

• 

TABLE    lllb. 


Multiples  of  Periods  of  the  Arguments. 


Periods.     ARG.  1.         2.           3. 

4.          5.           6. 

1 

27.554552446    31.81193574    29.53058800 

365.259687 

411.785170 

34.846892 

2 

55.109104892    63.62387147    59.06117599 

730.519373 

823.570311 

69.693784 

3 

82.663657338    95.43580721    88.59176399 

1095.779060 

1235.355511 

104.540676 

4 

110.218209784   127.24774294   118.12235199 

1461.038747 

1647.140(i81 

139.387568 

5 

137.772762230   159.05967868   147.65293999 

1826.298433 

2058.925S.YJ 

171.231460 

6 

165.327314676   190.87161442   177.18352798 

2191.558120 

2470.711022 

209.081352 

7 

192.881867122   222.68355015   206.71411598 

2556.817807 

2882.496192 

2  13.928244 

8 

220.436419568   254.49548589   236.24470398 

2922.077493   3294.281362 

278.775136 

9 

247.990972014   286.30742162   265.7752!)  197 

3287.337180   3706.066533 

313.622028 

10 

275.545524460   318.11935736   295.30587997 

3652.596867J  4117.851703 

318.468920 

p*rio!u.  ARO.  9.       8.        9.         10. 

11.         12.         13. 

1 

9.613718   15.387312 

29.802826 

25.621696 

26.878290 

346.620112   10.084597 

2 

19.227436   30.774624 

59.605651 

51.243393 

53.756580   693.240224   20.169194 

3 

28841154   46.161937 

89.408477 

76.865089 

80.634870   1039.86033( 

i   30.253791 

4 

38.454872   61.519249 

119.211302 

102.486786 

107.513160 

1386.  ISO  11* 

1   40.3383N7 

5 

48.068590 

76.936561 

149.014128  ' 

128.108482 

134.391450 

1733  10055! 

•   50.  1229N  1 

6 

57.682308 

92.323873 

178.816953 

153.730179 

161.269740 

2079.720671 

60.507581 

7 

67.296026 

107.711186 

208.619779 

179.351875 

188.148029 

2426.3  1078: 

1   70.592178 

8 

76.909744 

123.098498 

238.422604 

204.973572 

215.026319 

2772.960S!).- 

.  80.676775 

9 

86.523462 

138.485810 

268.225430 

230.595268 

211.904609 

3119.58100' 

'   90.761373 

10 

96.137180 

153.873122 

298.028255 

256.216964 

268.782899 

3466.201  lit 

100.815968 

p«i<£.  ARC.  14.      15.        16.        IT. 

18.         19.         20. 

1 

29.26328 

14.19161 

14.25418 

27.32168 

9.87359 

24.30220 

14.31731 

2 

58.52656 

28.38322 

28.50837 

5  1.64336 

19.74719 

48.60439 

28.63163 

3 

87.78984 

42.57483 

42.76255 

81.96504 

29.62078 

72.90659 

42.95194 

4 

117.05312 

56.76644 

57.01674 

109.28672 

39.49137 

97.20878 

B7.2d925 

5 

146.31640 

70.95805 

71.27092 

136.60840 

49.36797 

121.51098 

71.68656 

6 

175.57967 

85.14967 

85.52511 

163.93008 

59.24156 

145.81317 

85.90:fss 

7 

204.84295 

99.34128 

99.77929 

191.25176 

69.11515 

170.11537 

100.22119 

8 

234.10623 

113.532*9 

114.033  is 

218.57341 

78.98878 

194.41757 

114.53850 

9 

263.36951 

127.72450 

128.28766 

245.89511 

88.N623I 

218.71976 

128.85581 

10 

292.63279 

141.91611 

142.54185 

273.21679 

98.73593 

243.02196 

143.17313 

I 

p",°iol  ARG.  21.       22.        23.       24.        25.        26.       2T. 

1 

131.6711 

83.12801 

23.7746: 

)    13.27651 

)    9.36717    5.82261 

25.826  1 

2 

263.3422 

(i  1.25617 

47.54921 

»    26.55301 

)    18.73134    11.64521 

51.6528 

3 

395.0131 

96.3H  12( 

71.3238! 

s    39.8294! 

I    28.10152    17.46782 

77.4791 

526.6845 

128.51231 

95.0985 

53.1059! 

I    37.46869    23.29042 

103.3055 

5 

658.3556 

160.6101: 

118.8731! 

J    66.3824! 

1    46.83f.s6    29.11303 

129.1319 

6 

f   790.0267 

192.76852 

142.64771 

J    79.6589! 

)    56.20303    34.93563 

154.9583 

7 

X  921.6979 

221.8966C 

166.4223f 

<    92.9351! 

I    65.57020    40.7f.s-j  | 

180.7847 

8 

j>  053.3690 

'-'.-.7.02468 

190.1970 

106.2119! 

)    7I.9373K    46.5MISI 

206.6111 

9 

]  1  V.-..OI01 

289.1;  1.277 

213.9716 

1    119.488K 

>    N  1.30  155    52.40315 

232.437  1 

10 

13(16.7112 

321.28086 

237.7462( 

i    132.7649( 

•i    93.67172    5S.22606 

258.263N 

1 

66 


TABLE    III&. 


Multiples  of  Periods  of  the  Arguments. 


£"i0dL  ARG.  28. 

29. 

3O. 

31. 

32. 

33.        34. 

1 

38.52201 

32.76364 

10.37093 

15.3144 

16.6302 

32.4506 

27.0927 

2 

77.01103 

65.52728 

20.74186 

30.6288 

332603 

64.9012 

54.1854 

3 

115.56604 

98.29092 

31.11280 

45.9433 

49.8905 

97.3517 

81.2781 

4 

154.08805 

131.05456 

41.48373 

61.2577 

66.5206 

129.8023 

108.3708 

5 

192.61007 

163.81821 

51.85467 

76.5721 

83.1508 

162.2529 

135.4636 

6 

231.13208 

196.58185 

62.22559 

91.8865 

99.7810 

194.7035 

162.5563 

7 

269.65409 

229.31549 

72.59652 

107.2009 

116.4111 

227.1541 

189.6490 

8 

308.17610 

262.10913 

82.96746 

122.5153 

133.0413 

259.6047 

216.7417 

9 

346.69812 

294.87277 

93.33839 

137.8298 

149.6715 

292.0552 

243.8344 

10 

385.22013 

327.63641 

103.70932 

153.1442 

166.3016 

324.5058 

270.9271 

Periods.  ARG.  35. 

36.       37.       38.     39. 

4O. 

41.       42. 

1 

23.9422 

13.7188 

37.625 

9.3944 

34.475 

18.8435 

17.9191 

10.1479 

2 

47.8845 

27.4376 

75.251 

18.7888 

68.951 

37.6871 

35.8382 

20.2958 

3 

71.8267 

41.1564 

112.876 

28.1832 

103.426 

56.5306 

53.7573 

30.4437 

4 

95.7689' 

51.8752 

150.501 

37.5776 

137.901 

75.3742 

71.6764 

40.5916 

5 

119.7112! 

68.5941 

188.127 

46.9720 

172.376 

94.2177 

89.5955 

50.7395 

6 

143.6534' 

82.3129 

225.752 

56.3664 

206.852 

113.0613 

107.5146 

60.8874 

7 

167.5956 

96.0317 

263.377 

65.7607 

241.327 

131.9048 

125.4337 

71.0354 

8 

191.5379 

109.7505 

301.003 

75.1551 

275.802 

150.7483 

143.3528 

81.1833 

9 

215.480ll 

123.4693 

338.628 

81.5495 

310.278 

169.5919 

161.2720    91.3312 

10 

239.4-223 

137.1881 

376.253 

93.9439 

344.753 

188.4354 

179.19111   101.4791 

Periods.  ARG.  43. 

44.      45.       46 

47. 

48. 

49.       50. 

1 

14.5379 

22.786    16.9000 

29.013 

14.132( 

!    29.934 

12    12.76r 

[    25.036 

2 

29.0757 

45.572    33.8001 

58.027 

28.2651 

I    59.86? 

13    25.52J 

>    50.072 

3 

43.6136 

68.358 

50.7001 

87.040 

42.397' 

r    89.80-. 

5    38.28? 

>    75.108 

4 

58.1514 

91.145 

67.6001 

116.053 

56.5305 

\    119.73f 

17    51.051 

100.144 

5 

72.6893 

113.931 

84.5002   145.066 

70.662? 

>    149.670 

(9    63.814 

I   .125.180 

6 

87.2-271 

136.717    101.4002    174.080 

84.795? 

!    179.60f 

.0    76.57( 

1   150.216 

7 

101.7650 

159.503!   118.3002 

203.093 

98.927J 

)   209.53? 

2    89.33! 

1    175.252 

8 

116.3028 

182.289   135.2003   232.106 

113.0604   239.47: 

4   102.10; 

\   200.288 

9 

130.8407 

205.075   152.1003   261 

120 

127.  193( 

)   269.40-; 

'5   114.86^ 

I   225.324 

10 

1  15.3785 

227.861;   169.0004   290.133 

141.325f 

i   299.341 

7   127.62' 

'   250.360 

No  of   » 
Periods.  ARG.  31. 

52. 

53.      54. 

55. 

56. 

57.      58. 

1 

18.2169 

25.2314 

117.5394 

15.070 

19.6273 

13.1175 

16.9874 

15.2422 

2 

36.4338 

50.4627 

235.0788 

30 

140 

39.2546 

26.2350 

33.9748 

30.4844 

3 

54.6508 

75.6941 

35-2.6183 

45. 

210 

58.8819 

39.3524 

50.9622 

45.7266 

4 

72.8677 

100.9-255 

470.1577 

60.280 

78.5092 

52.4699 

67.9496 

60.9689 

5 

91.0816 

126.1519 

587.6971 

75 

349 

98.1365 

65.5874 

84.9370 

76.2111 

6 

10!).  3015 

151.3882 

705.2305 

90.419 

117.7638 

78.7019 

101.9244 

91.4533 

7 

1-27.5181 

176.6196 

822.7760 

105.489 

137.3911 

91.8223 

118.9118 

106.6955 

8 

145.7354 

201.8510    940.3154 

120 

559 

157.0184 

104.9398 

135.8993 

121.9377 

9 

163.9523 

227.0824   1057.8518 

135 

6-29 

176.6457 

118.0573 

152.8867 

137.1799 

10 

182.1692 

252.3137 

1175.3942 

150 

699 

196.2730 

131.1748 

169.8741 

152.4222 

67 


TABLE    lllb. 


Multiples  of  Periods  of  the  Arguments. 


Periods.   ARG.  59. 

60. 

61. 

62. 

63. 

64. 

65. 

1 

38.9640 

22.3217 

13.6061 

14.4420 

13.6334 

35.9921 

14.4728 

2 

77.9279 

44 

6434 

27.2122 

28.8840 

27.2668 

71.9842 

28.9455 

3 

116.8919 

•  66 

9651 

40.8183 

43.3260 

40.9002 

107.9764 

43.4183 

4 

155.8559 

89 

2869 

54.4244 

57.7680 

54.5336 

143.9685 

57.8911 

5 

194.8198 

111 

6086 

68.0306 

72.2100 

68.1670 

179.9606 

72.3639 

6 

233.7838 

133 

9303 

81.6367 

86.6520 

81.8004 

215.9527 

86.8366 

7 

272.7478 

156 

2520 

95.2428 

101.0940 

95.4338 

251.9448 

101.3094 

8 

311.7118 

178 

5737 

108.8489 

115.5360 

109.0672 

287.9370 

115.7822 

9 

350.6757 

200 

8954 

122.4550 

129.9780 

122.7006 

323.9291 

130.2519 

10 

389.6397 

223.2171 

136.0611 

144.4200 

136.3340 

359.9212 

144.7277 

No.  of   A 

Period..  ARG.  66. 

67. 

68. 

69. 

70. 

71. 

79. 

73. 

1 

35.596 

27.4433 

27.6667 

471.893 

329 

791 

583.921 

398.884 

2190.331 

2 

71.192 

54.8866 

55.3334 

943.787 

659 

581 

1167.843 

797.768 

4380.661 

3 

106.787 

82.3300 

83.0001 

1415.680 

989.372 

1751.764 

1196.652 

6570.992 

4 

142.383 

109.7733 

110.6668 

1887.573 

1319.162 

2335.685 

1595.536 

8761.322 

5 

177.979 

137.2166 

138.3334 

2359.466 

1648 

953 

2919.606 

1991.421 

10951.653 

6 

213.575 

164.6599 

166.0001 

2831.360 

1978 

743 

3503.528 

2393.305 

13141.984 

7 

249.171 

192.1033 

193.6668 

3303.253 

2308 

534 

4087.449 

2792.189 

15332.314 

8 

284.767 

219.5466 

221.3335 

3775.146 

2638.324 

4671.370 

3191.073 

17522.645 

9 

320.362 

246.9899 

249.0002 

4247.039 

2968.115 

5255.291 

3589.957 

19712.975 

10 

355.958 

274.4332 

276.6669 

4718.933 

3297 

906 

5839.213 

3988.841 

21903.306 

No.  of   A 
Periods.  ARG.  74. 

75. 

76. 

78. 

79. 

8O. 

81. 

89. 

1 

3232.82 

84753 

95490 

188.20151 

438.361 

313.055 

124.2046 

14.86550 

2 

6465.64 

169506 

190980 

376.40303 

876.722 

626.109 

248.4092 

29.73101 

3 

9698.46 

254260 

286470 

564.60454 

.  1315.082 

939.164 

372.6138 

44.59651 

4 

12931.28 

339013 

381960 

752.80605 

1753.443 

1252.219 

496.8184 

59.46202 

5 

16164.10 

423766 

477450 

941.00757 

2191.804 

1565.273 

621.0230 

74.32752 

6 

19396.92 

508519 

572940 

1129.20908 

2630.165 

1878.328 

745.2276 

89.19303 

7 

22629.74 

593273 

668430 

1317.41059 

3068.525 

2191.383 

869.4322 

.  104.05853 

8 

25862.56 

678026 

763920 

1505.61211 

3506.886 

2504.437 

993.6368 

118.92403 

9 

29095.38 

762779 

859409 

1693.81362 

3945.247 

2817.492 

1117.8414 

133.78954 

10 

32328.20 

847532 

954899 

1882.01513 

4383.608 

3130.547 

1242.0460 

148.65504 

No  of   »  _,   _„ 
Period..  ARC.  83. 

84. 

85. 

86. 

87. 

88. 

89. 

00. 

1 

39.2116 

19.1434 

23.5193 

38.2831 

)    14.2081 

Z    14.6664 

19.3122 

32.281 

2 

78.4233 

38.2868 

47.0387 

70.565 

)    28.416- 

t    29.3329 

38.6243 

64.562 

3 

117.6349 

57.41)02 

70.558C 

114.848 

)    42.6241 

i    43.9993 

57.9365 

96.842 

4 

156.8465 

76.5736 

94.077-1 

153.131 

•i    56.8321 

J    58.6657 

77.2486 

129.123 

5 

196.05V.; 

95.7170 

117.5!)li- 

191.4141 

•i    71 

0411 

)    73.3321 

96.5608 

161.404 

6 

235.2698 

II 

141.116C 

1   229.697 

1    85.249! 

}    87.9986 

1  15.8729 

193.685 

7 

27  1.4815 

131.0039 

164.635 

267.980- 

J    99 

157 

I   102.6650 

135.1851 

225.965 

8 

313.6931 

153.1473 

188.154- 

30(i.2ii3 

J   113 

6651 

i   117.3314 

154.4972 

258.2  l(i 

9 

3:>2.!)017 

172.2!I07 

211.6711 

3  1  1.5  Hi 

i   127.873' 

)   131.9978 

173.80941   290.527 

10 

31)2.1164 

191.1311 

235.19»1 

3S2.829 

i   142 

082 

1   1  16.6643 

193.1215 

322.808 

68 

TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAT.        u      LOG.  (-u')  LOG.  (-u")       (y-u)     LOG.  (y-u')  Loo.  (y-u") 

0 

140   306.18 

8.544661 

91.41942 

342  1071.9 

8.396885 

91.2329 

100000 

178  2905.81 

8.529434 

91.40094 

238  1261.1 

8.381369 

91.2144 

200000 

217  2028.29 

8.513363 

91.38163 

134  1362.1 

8.36501  1 

91.1951 

300000 

256  1274.81 

8.496369 

91.36143 

30  1373.7 

8.347734 

91.1749 

400000 

295   647.57 

8.478365 

91.34024 

286  1294.2 

8.329452 

91.1537 

500000 

334   148.78 

8.459252 

91.31796 

182  1122.4 

8.310064 

91.1314 

600000 

12  3380.62 

8.438911 

91.29448 

78   856.8 

8.289452 

91.1080 

700000 

51  3145.30 

8.417204 

91.26966 

334   495.9 

8.267479 

91.0831 

800000 

90  3045.02 

8.393970 

91.24333 

230    38.3 

8.243981 

91.0568 

900000 

129  3081.98 

8.369015 

91.21530 

125  3082.6 

8.218766 

91.0288 

1000000 

168  3258.37 

8.342103 

91.18534 

21  2427.3 

8.191598 

90.9988 

1100000 

207  3576.40 

8.312949 

91.15315 

277  1671.1 

8.162190 

90.9666 

1200000 

217   438.26 

8.281195 

91.11839 

173   812.4 

8.130188 

90.9319 

1300000 

286  1046.15 

8.246395 

91.08060 

68  3450.0 

8.095141 

90.8941 

1400000 

325  180227 

8.207971 

91.03921 

324  2382.2 

8.056474 

90.8527 

1500000 

4  2708.83 

8.165161 

90.99346 

220  1207.8 

8.013424 

90.8069 

1600000 

44   168.01 

8.116937 

90.94230 

115  3525.2 

7.964963 

90.7558 

1700000 

83  1382.02 

8.061854 

90.88431 

11  2133.0 

7.909646 

90.6978 

1800000 

122  2753.06 

7.997796 

90.81736 

267   629.9 

7.845357 

90.6308 

1900000 

162   683.32 

7.921485 

90.73818 

162  2614.3 

7.768818 

90.5516 

2000000 

201  2375  01 

7.827426 

90.64127 

58   884.9 

7.674534 

90.4547 

2100000 

241   630.32 

7.705321 

90.51633 

313  2640.2 

7.552206 

90.3298 

2200000 

280  2651.46 

7.532432 

90.34024 

209   678.7 

7.378709 

90.1537 

2300000 

320  1240.62 

7.233809 

90.03921 

104  2199.2 

7.080258 

89.8526 

DAT.       ARO.  1.     LOG.  1'.     LOG.  1".     ARG.  3.     LOG.  2'.     LOG.  2". 

0 

5.3268824    —94.480661 

-87.4274 

17.176849 

+94.28132 

+87.2570 

100000 

9.5618459     94.465942 

87.4089 

0.643873 

94.26692 

87.2385 

200000 

13.8069578!     94.450440 

87.3896 

15.916224 

94.25166 

87.2192 

300000 
400000 

18.06244091     94.433995 
22.32851831     94.416533 

87.3694 

87.3482 

31.181815 
14.628562 

94.23547 
94.21824 

87.1990 
87.1778 

500000 

26.6054129 

94.397950 

87.3260 

29.880187 

94.19992 

87.1556' 

600000 

3.3387953 

94.378134 

87.3025 

13.312665 

94.18034 

87.1321 

700000 

7.6379932 

94.356947 

87.2776 

28.549716 

94.15938 

87.1072 

800000 

11.9486771 

94.334218 

87.2513 

11.967321 

94.13689 

87.0809 

900000 

16.2710701 

94.309762 

87.2233 

27.189199 

94.11266 

87.0529 

1000000 

20.6053951 

94.283344 

87.1933 

10.591328 

94.08647 

87.0229 

1100000 

24.9518750 

94.254673 

87.1611 

25.797429 

94.05802 

86.9907 

1200000 

.1.7561803 

94.223400 

87.1264 

9.183481 

94.02696 

86.9560 

1300000 

6.1276389 

94.189070 

87.0886 

24.373204 

93.99290 

86.9182 

1400000 

10.5119214 

94.151109 

87.0472 

7.742576 

93.95509 

86.8768 

1500000 

14.9092506 

94.108758 

87.0014 

22.915317 

93.91295 

86.8310 

1600000 

19.3198495 

94.060984 

86.9503 

6.267407 

93.86538 

86.7799 

1700000 

23.7439410 

94.006345 

86.8923 

21.422565 

93.81094 

86.7219 

1800000 

0.6271958 

93.942725 

86.8254 

4.756769 

93.74674 

86.6550 

1900000 

5.0789415 

93.866846 

86.7462 

19.893742 

93.67183 

86.5758 

2000000 

9.5448488 

93.773213 

86.6493 

3.209459 

93.57781 

86.4789 

2100000 

14.0251406 

93.651526 

86.5243 

18.327643 

93.45689 

86.3539 

2200000 

18.5200399 

93.478663 

86.3482 

1.624271 

93.28421 

86.1778 

2300000 

23.0297695 

-93.180837 

-86.0472 

16.723064 

+92.98656 

+85.8768 

-                                                                       ' 

69 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAT.          ARG.  3.           LOG.  3'.        LOG.  3".        ARG.  4.         ARG.  5.         LOG.  8'. 

LOG.  5". 

0 

10.8269901 

-93.84505 

-86.7744 

121.4011 

340.4155      —95.54931 

-88.501 

100000 

20.1879172 

93.83025 

86.7559 

40.2469       273.  17  is         95.5316!) 

88.483 

200000 

0.0206869 

93.81459 

86.7366 

321.3525       206.0468         95.51921 

88.463 

300000 

9.3864354 

93.79800 

86.7164 

213.1983 

139.0429 

95.50271) 

8S.443 

400000 

18.7516510 

93.78039 

86.6952 

162.0442 

72.1629 

95.485)57 

88.422 

500000 

28.1253925 

93.76167 

86.6730 

80.8900 

5,4095         95.46683 

88.400 

600000 

7.9681123 

93.74171 

86.6495 

364.9956 

350.5703          95.4170:! 

88.376 

700000 

17.3440390 

93.72039 

86.6246 

283.8414 

284.0778 

95.425ss 

S8.351 

800000 

26.7226343 

93.69753 

86.5983 

202.6873 

217.7198 

95.40318 

88.885 

900000 

6.5733596 

93.67294 

86.5703 

121.5331 

151.4988 

95.37875 

88.297 

1000000 

15.9574407 

93.64640 

86.5403 

40.3790 

85.4175 

95.35236 

88.267 

1100000 

25.3443389 

93.61760 

86.5081 

324.4845 

19.4786 

95.32370 

88.235 

1200000 

5.2035160 

93.58620 

86.1731 

243.3304       365.4699 

95.292  15 

B8.MO 

1300000 

14.5961974 

93.55175 

86.4356 

162.1762 

299.8237 

95.25811 

88.162 

1100000 

239918418 

93.51367 

86.3942 

81.0221 

234.3277 

95.22020 

88.121 

1500000 

38599197 

93.47120 

86.3  is  i 

365.1276 

168.9847 

95.17784 

88.075 

1600000 

13.2616477 

93.42330 

86.2973 

283.9735 

103.75172 

95.13007 

88.0-J  1 

1700000 

22.6664904 

93.36855 

86.2393 

202.8193          38.7679 

95.075  1  1 

87.966 

1800000 

2.5139093 

93.30182 

86.1724 

121.6652 

385.6847 

95.01177 

H7,S99 

1900000 

11.9551300 

93.22882 

86.0932 

40.5110 

320.9798 

94.93584 

87.820 

2000000 

21.3696141 

93.13508 

85.9963 

324.6166 

256.4410 

94.84212 

87.723 

2100000 

1.256S-J3-.; 

93.01329 

85.8713 

248.4624 

192.0710 

94.73109 

87.59s 

2200000 

10.6779828 

92.81032 

85.6952 

162.3083 

127.8724 

94)54826 

87498 

2300000 

20.102554(5 

-92.5I23.-S 

-85.3942 

81.1541 

63.8478 

-94.25011! 

-87.121 

DAT.       ARG.  6. 

LOG.  6'.     LOG.  6".  ARG.  7.   LOG.  7".    LOG.  7".    ARG.  8.     LOG.  8'. 

Loo.  8". 

0 

7.2514 

-1-94.3374 

+87.597 

8.9079 

-94.1786 

-87.121 

6.1678 

—93.862! 

>  —86.792 

100000 

31.721)6 

94.3228 

87.579 

6.8667 

94.1610 

87.103 

3.95  17 

98.8471 

<       86.774 

200000 

21.3537 

94.3074 

87.559 

4.8305 

94.14s'3 

87.083 

1.7110 

93.832! 

>       86.751 

300000 

10.9704 

!)  1.29  10 

87.539 

2.7996 

94.1319 

87.063 

14.9232 

98.815! 

,       8f!.73  4 

400000 

0.5795 

94.2737 

87.518 

0.7710 

94.1113 

87.042 

12.7176 

93.798( 

)       86.713 

500000 

25.0277 

94.2553 

87.496 

8.3675 

94.0956 

87.020 

10.51  16 

93.779: 

i       86.691 

600000 

14.6213 

94.2355 

87.472 

6.3528 

91.0757 

86.996 

8.3143 

93.759 

1       86.661 

700(100 

4.2067 

94.2144 

87.447 

4.3438 

91.0544 

86.971 

6.116S 

93.738 

86.612 

800000 

28.6308 

94.1918 

87.421 

2.3  105 

94.0318 

86.915 

3.9220 

98.715! 

'.       86.616 

900000 

18.199^ 

94.1674 

87.393 

0.3130 

94.0071 

88.917 

1.7300 

08.690- 

86:588 

1000000 

7.7598 

94.1412 

87.363 

7.9653 

93.9807 

86.887 

14.9283 

93.0i;  I 

80.806 

1100000 

32.  1583 

94.1128 

87.381 

5.9799 

93.9525 

86.855 

12.7121 

98.635 

86i586 

1200000 

21.7009 

94.0813 

N7.296 

4.0006 

93.9216 

86.820 

10.5590 

93.60  H 

)        86.191 

1300000 

11.2315 

94.0470 

87.258 

2.0277 

93.8872 

86.782 

8.8788 

98.569J 

.       s6.  153 

1100000 

0.7588 

94.0092 

87.217 

9.6749 

93.M92 

86.741 

6.20  IN 

98.581! 

>         86.  llv> 

1500000 

25.1207 

93.9670 

87.171 

7.7119 

93.S067 

86.695 

4.0279 

93.  |89< 

1      86.366 

[600000 

1  J.(i2(i2 

93.9193 

S7.I-JO 

5.-;6  16      93.7590 

Mi.  'ill 

1.857S 

93,1112       86.315 

1700000 

4.1219 

93.8647 

87.063 

3.SM9       93.1013 

86.586 

15.0770 

98.386 

80.357 

1800000 

28,  15  Hi 

93.8011 

86.995 

t.8751 

93.6  107 

86.519 

12.9129 

98.3221 

86.190 

I!  100000 

17.9305 

93.725  1 

86.916 

9.5560 

93.5:1  is 

86.440 

10.752  1 

93.2167 

86.111 

•_'<)(  lOl  KM) 

7.8961 

93.6318 

7.6302 

93.  11  1  1 

86.343 

8.5946 

98.153C 

86.014 

2100000 

3  1.6!  is\! 

93.5102       86.69  1 

57116 

93.3191 

86.218 

6,1107 

93.031! 

85.889 

2300000 

21.1  129 

933375       S6.5IN       :t,s003       93.  II  61 

86.042 

-1.21)02 

93.858! 

S5.713 

.1000 

10.  51  Hi  > 

+93.0397  +86.217 

1.8964  -92.8786 

85.1  1  1 

2.1133 

-92.5601    -85,412 

70 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAY.    ARG,  9.  LOG.  9'.  LOG.  9". 

ARG.  1O.  LOG.  10'.  LOG.  1O".  ARG.  11.  LOG.  11'.  LOG.  1  1". 

0 

25.6590 

-94.5146  -87.461 

13.4695  -94.4492 

-87.396 

13.0788  +94.4033 

+87.348 

100000 

7.0583 

94.5001   87.443 

11.7147   94.4345 

87.378 

26.0864   94.3886 

87.330 

200000 

18.2*714 

94.4846   87.423 

9.9693   94.4190 

87.358 

12.2071   94.3732 

87.310 

300000 

29.4957 

94.4680   87.403 

8.2335   94.4025 

87.338 

25.1975   94.3567 

87.290 

400000 

10.9287 

94.4506 

87.382 

6.5076 

94.3850 

87.317 

11.3007  94.3393 

87.269 

500000 

22.1762 

94.4320 

87.360 

4.7917 

94.3664 

87.295 

24.2732   94.3206 

87.247 

600000 

3.6328 

94.4123 

87.336 

3.0862 

94.3467 

87.271 

10.3581   94.3009 

87.223 

700000 

14.9044 

94.3911 

87.311 

1.3911 

94.3254 

87.246 

23.3119   94.2797 

87.198 

800000 

26.1885 

94.3(583 

87.285 

25.3284 

94.3027 

87.220 

9.3778   94.2569 

87.172 

900000 

7.6823 

94.3438 

87.257 

23.6548 

94.2784 

87.192 

22.3122 

94.2324 

87.144 

1000000 

18.9920 

94.3175 

87.227 

21.9924 

94.2519 

87.162 

8.3583 

94.2061 

87.114 

1100000 

0.5119 

94.2887 

87.195 

20.3413 

94.2232 

87.130 

21.2726 

94.1772 

87.082 

1200000 

11.8481 

94.2575 

87.160 

18.7017 

94.1919 

87.095 

7.2982 

94.1457 

87.047 

1300000 

23.1979 

94.2230 

87.122 

17.0738 

94.1575 

87.057 

20.1915 

94.1114 

87.009 

1400000 

4.7587 

94.1853 

87.081 

15.4579 

94.1200 

87.016 

6.1959 

94.0734 

86.968 

1500000 

16.1365 

94.1428 

87.035 

13.8541 

94.0772 

86.970 

19.0676  94.0311 

86.922 

1600000 

27.5286 

94.0950 

86.984 

12.2626 

94.0295 

86.919 

5.0499   93.9833 

86.871 

1700000 

9.1325 

94.0405 

86.926 

10.6837 

93.9748 

86.861 

17.8993  93.9286 

86.813 

1800000 

20.5511 

93.9768 

86.859 

9.1175 

93.9112 

86.794 

3.8589   93.8649 

86.746 

1900000 

2.1879 

93.9009 

86.780 

7.5643 

93.8354 

86.715 

16.6851 

93.7892 

86.667 

2000000 

13.6398   93.8073 

86.683 

6.0243 

93.7417 

86.618 

2.6212  93.6954 

86.570 

2100000 

25.1073   93.6855 

86.558 

4.4976 

93.6199 

86493 

15.4235   93.5737 

86.445 

2200000 

6.7878   93.5127 

86.382 

2.9846 

93.4471 

86.317 

1.3354   93.4009   86.269 

2300000 

18.2872,  -93.2149 

-86.081 

1.4853 

-93.1492 

-86.016 

14.1131  +93.1030 

1 

+85.968 

DAY.   ARG.  19.  LOG.  13'.  LOG.  12 

".  ARG.  13.  LOG.  13'.  ARG.  14.  LOG.  14'.  ARG.  15.  Loo.  15'. 

0 

337.3723  +94.7409 

+87.655 

2.7557 

+93.279 

25.527 

+94.346   0.927 

-93.906 

100000 

164.6955 

94.7259 

87.637 

3.9081 

93.261 

3.816 

94.328 

6.772 

93.887 

200000 

338.6200 

94.7101 

87.617 

5.0600 

93.241 

11.363 

94.308 

12.618 

93.865 

300000 

165.9052 

94.6934 

87.597 

6.2114 

93.221 

18.904 

94.288 

4.276 

93.848 

400000 

339.7910 

94.6757 

87.576 

7.3623 

93.200 

26.438 

94.267 

10.128 

93.827 

500000 

167.0368 

94.6568 

87.554 

8.5127 

93.178 

4.703 

94.245 

1.790 

93.805 

600000 

340.8823 

94.6368 

87.530 

9.6625 

93.154 

12.224 

94.221 

7.646 

93.781 

700000 

168.0871 

94.6153 

87.505 

0.7273 

93.129 

19.738 

94.196 

13.505 

93.756 

800000 

341.8909 

94.5924 

87.479 

1.8760 

93.103 

27.246 

94.170 

5.175 

93.729 

900000 

169.0532 

94.5677 

87.451 

3.0242 

93.075 

5.483 

94.142 

11.039 

93.702 

1000000 

342.8138 

94.5410 

87.421 

4.1718 

93.045 

12.977 

94.112 

2.714 

93.672 

1100000 

169.9321 

94.5122 

87.389 

5.3188 

93.013 

20.463 

94.080 

8.583 

93.640 

1200000 

343.6479 

94.4806 

87.354 

6.4652 

92.978 

27.942 

94.045 

0.263 

93.605 

1300000 

170.7207 

94.4461 

87.316 

7.6110 

92.940 

6.149 

94.007 

6.138 

93.567 

1400000 

344.3903 

94.4079 

87.275 

8.7561 

92.899 

13.613 

93.966 

12.016 

93.526 

1500000 

171.4161 

94.3653 

87.229 

9.9006 

92.853 

21.068 

93.920 

3.704 

93.480 

1600000 

345.0379 

94.3173 

87.178 

0.9598 

92.802 

28.515 

93.869 

9.588 

93.429 

1700000 

172.0151 

94.2625 

87.120 

2.1030 

92.744 

6.691 

93.811 

1.283 

93.372 

1800000 

345.5877 

94.1987 

87.053 

3.2454 

92.677 

14.122 

93.744 

7.172 

93.304 

1900000 

172.5149 

94.1225 

86.974 

4.3871 

92.598 

21.545 

93.665 

13.064 

93.225 

2000000 

346.0367 

94.0287 

86.877 

5.5281 

92.501 

28.959 

93.568!   4.768 

93.128 

2100000 

172.9123 

93.9069 

86.752 

6.6684   92.376 

7.101 

93.443,  10.667 

93.003 

2200000 

346.3818 

93.7338   86.576 

7.8079   92.200 

14.498   93.267   2.378 

92.827 

2300000 

173.2044 

+93.4358  +86.275   8.9466'  +91.899 

21.885  +92.966   8.283 

-92.526 

71 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAY.        AHG.  16.    Loo.  16'.    ARG.  17.    LOG.  17'.  ARG.  18.  LOG.  18'.    ARG.  19.      LOG.  19'. 

0 

7.980      —94.361 

19.088      -93.889 

5.893 

-94.274 

20.567 

-94.8382 

100000 

0.435 

94.343 

21.679         93.871 

5.989 

94.256 

16.366 

94.8236 

200000 

7.151 

94.323 

24.273         93.851 

6.090 

94.236 

12.18S 

94.N080 

300000 

13.873 

94.303 

26.869 

93.831 

6.197 

94.216 

8.033 

94.7916 

400000 

6.348 

94.282 

2.145 

93.810 

6.308 

94.195 

3.902 

94.7742 

500000 

13.084 

94.260 

4.745 

93.788 

6.426 

94.173 

24.097 

94.7556 

600000 

5.572 

94.236 

7.348 

93.764 

6.549 

94.149 

20.016 

94.7358 

700000 

12.322 

94.211 

9.953         93.739 

6.678 

94.124 

15.960 

94.7146 

800000 

4.825 

94.185 

12.560         93.713 

6.814 

9  4.098 

11.930 

94.6919 

900000 

11.589 

94.157 

15.170 

93.685 

6.955 

94.070 

7.926 

94.6675 

1000000 

4.107 

94.127 

17.782 

93.655 

7.102 

94.040 

3.949 

94.6412 

1  100000 

10.887 

94.095 

20.397 

93.623 

7.256 

94008 

0.000 

94.6123 

1200000 

3.420 

94.060 

23.014 

93.588 

7.415 

93.973 

20.381 

94.5811 

1300000 

10.215 

94.022 

25.634 

93550 

7.582 

93.935 

16.489 

94.5  167 

1400000 

2.764 

93.981 

0.935 

93.509 

7.755 

93.894 

12.625 

94.5089 

1500000 

9.575 

93935 

3.560 

93.463 

7.935 

93.848 

8.791 

94.4665 

1600000 

2.141 

93.884 

6.189 

93.412 

8.121 

93.797 

4.987 

94.4188 

1700000 

8.969 

93.826 

8.820 

93.354 

8.315 

93  739 

1.213 

94.36  12 

1800000 

1.552 

93.759 

11.454 

98.287 

8.516 

93.672 

21.773 

i)  1.3007 

1900000 

8.398 

93.680 

14.091 

93.208 

8.723 

93.593 

18.062 

91.2243 

2000000 

0.998 

93.583 

16.731 

93.111 

8.938 

93.496 

14.384 

94.1309 

2100000 

7.862" 

93.458 

19.374 

92.986 

9.161 

93.371 

10.738 

94.0094 

2200000 

0.480 

93.282 

22.020 

92.810         9.391 

93195 

7.125 

93.8365 

2300000 

7.363 

-92.981 

24.669 

-92.509         9.628 

-92.894 

3.545 

-93.5387 

DAY.       ARG.9O.     Loo.SO'.    ARG.  91.   LoG.91'.    AUG.  99.   Loo.99'.    ARG.  23.     Loo.23'. 

0 

0.771 

—94.580 

129.77 

-95.438 

1.111 

-93.961 

3.32C 

i      -94.352 

100000 

8.353 

94.562 

57.51 

95.420 

18.43-J 

93.943 

7.067 

94.334 

200000 

1.628 

94.542 

1  17.00 

95.400 

8.62S 

93.923 

10.81 

94.314 

300000 

9.232 

94.522 

44.90 

95.380 

20.95- 

93.903 

14.567 

94.294 

400000 

2.529 

94.501 

104.55 

95.859 

6.157 

93.882 

18.327 

94.273 

500000 

10  155 

94.479 

32.61 

95.337 

23.  IS! 

93.86C 

22.0!)!, 

94.251 

600000 

3.475 

94.455 

92.42 

95.313 

8.6!)( 

93.83(1 

2.09S 

!>  1.227 

700000 

11.124 

94.430 

20.64 

95588 

26.03.r 

93.811 

5.67S 

94.202 

800000 

4.467 

94.404 

80.62 

95.36-2 

11.24? 

93.785 

!Ui.~)l 

94.176 

900000 

12.140 

94.376 

9.02 

!)5.23  1 

28.592 

93.75*7 

13.45! 

94.148 

1000000 

5.508 

94346 

69.18 

95.204 

13.811 

93.727 

17.25£ 

94.118 

1100000 

13.207 

94.314 

129.42 

95.172 

31.1  6-, 

93.695 

21.061 

94.086 

1200000 

6.600 

94.879 

58.09 

95.137 

16.387 

93.660 

1.106 

94.051 

1300000 

0.007 

94.341 

118.53 

95.0!)!) 

1.616 

93.622 

4.931 

94.013 

1  100000 

7.745 

94.200 

47.39 

95.058 

18.976 

93.581 

8.76S 

93.972 

1500000 

1.178 

94.154 

108.02 

95.012 

4.212 

93535 

12.60£ 

93.926 

1000000 

8.943 

94.103           37.08 

ill.itin          21.57! 

93.484 

16.468 

98.875 

17000(10 

2.405 

ill.  015            97.91 

91.  (103            lisvM 

93.42( 

20.806 

'98.817 

1800000 

10.198 

93.978 

27.17 

94.836          24.194 

93.359 

0.891 

93.750 

1900000 

3.688 

93.899 

88.20 

94.757 

9.444 

93.280 

4.27S 

!»:f.671 

2000000 

11.511 

93.802 

17.67 

!>  1.61,0 

26.824 

93.183 

8.15E 

93.574 

2100<><IO 

5.031 

93.677 

78.93 

94..r>:!.->          12.081 

93  05s 

12.0  H 

93.449 

2200000 

12>s3          93.50I 

8.61 

94.35!)         29.469 

92.882 

15.94*3 

93.273 

2300000 

6.l:d 

-93.200 

70.09 

-94.05s          14.733 

-92.581 

19.851 

-92.972 

72 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAY.        ARG.  24.     LOG.  24  .     ARG.  25.    LOG.  25'.  ARG.  26.  LOG.  26'.  ARC.  27.     LOG.  27'. 

0 

9.555 

-91.517 

2.427 

—94.248          3.825      —94.156            0.44 

-94.788 

100000 

10.685 

9  1.529 

7.724 

94.230 

0.459         94.138            0.20 

94.770 

200000 

11.825 

94.509 

3.660 

94.210 

2.919         94.118          25.80 

94.750 

300000 

12.975 

94.489 

8.967 

94.190 

5.384 

94.098          25.59 

94.730 

400000 

0.859 

94.468 

4.913 

94.169 

2.030 

94.077 

25.40 

94.709 

500000 

2.030 

94.446 

0.863 

94.147 

4.502 

94.055 

25.23 

94.687 

600000 

3.211 

94.422 

6.186 

94.123 

1.157 

94.031 

25.08 

94.663 

700000 

4.404 

94.397 

2.148 

94.098 

3.638 

94.006          24.94 

94.638 

800000 

5.607 

94.371 

7.4S2 

94.072 

0.302 

93.980 

24.82 

94.612 

900000 

6.822 

94.343 

3.454 

94.044 

2.792 

93.952 

24.72 

94.584 

1000000 

8.049 

94.313 

8.800 

94.014 

5.287 

93.922 

24.65 

94.554 

1  100000 

9.287 

94.281 

4.784 

93.982 

1.965 

93.890 

24.59 

94.522 

1200000 

10.538 

94.246 

0.774 

93.947 

4.469 

93.855 

24.55 

94.487 

1300000 

11.800 

94.208 

6.138 

93.909 

1.156 

93.817 

24.53 

94.449 

1400000 

13075 

94.167 

2.140 

93.868 

3.671 

93.776 

24.54 

94.408 

1500000 

1.086 

94.121 

7.516 

93.822 

0.368 

93.730 

24.56 

94.362 

1600000 

2.386 

94.070 

3.532 

93.771 

2.893 

93.679 

24.61 

94.311 

1700000 

3.700 

94.012 

8.921 

93.713 

5.423 

93.621 

24.68 

94.253 

1800000 

5.026 

93.915 

4.949 

93.646 

2.136 

93.551 

24.77 

94.186 

1900000 

6.367 

93.866 

0.984 

93.567 

4.677 

93.475 

24.89 

94.107 

2000000 

7.720 

93.769 

6.394 

&3.470 

1.401 

93.378 

25.03 

94.010 

2100000 

9.088 

93.614 

2.443 

93.345 

3.954 

93.253 

25.19 

93.885 

2200000 

10.470 

93.468 

7.866 

93.169 

0.689 

93.077 

25.38 

93.709 

2300000 

11.866 

-93.167 

3.929 

—92.868 

3.253 

-92.776 

25.59 

—93.408 

DAY.       ARG.  28.    LOG.  28'.    ARG.  29.   Loo.  29'.   ARG.  3D.    LOG.  3O7.    ARG.  31.    LOG.  31'. 

0 

33.941 

-94,465           8.071      -94.718 

9.741      +93.294 

13.80 

-f-93.857 

100000 

31.030 

94.447          12.988         94.730 

2.861 

93.276 

10.70 

93.839 

200000 

28.110 

94.427 

17.920 

94.710 

6.351 

93.256 

7.61 

93.819 

300000 

25.182 

94.407 

22.869 

94.690 

9.841 

93.236 

4.51 

93.799 

400000 

22.246 

94.386 

27.833 

94.669 

2.959 

93.215 

1.41 

93.778 

500000 

19.301 

94.364 

0.051 

94.617 

6.447 

93.193 

13.62 

93.756 

600000 

16.318 

94.310 

5.049 

94.623 

t.935 

93.169 

10.51 

93.732 

700000 

13.3^5 

94.315 

10.064         94.598 

3.051 

93.144 

7.40 

93.707 

800000 

10.413 

94.289 

15.097 

94.572 

6.537 

93.118 

4.28 

93.681 

900000 

7.432 

94.261 

20.148 

94.544 

10.023 

93.090 

1.17 

93.653 

1000000 

4.442 

94.231 

25.217 

94.514 

3.138 

93.060 

13.36 

93.623 

1  100000 

1.442 

94.199 

30.304 

94.482 

6.622         93.028 

10.24 

93.591 

1200000 

36.954 

94.164          2.617 

94.447 

10.106         92.993 

7.11 

93.556 

1300000 

33.934 

94.126 

7.773 

94.409 

3.218 

92.955 

3.98 

93.518 

1100000 

30.904 

94.085 

12.919 

94.368 

6.700 

92.914 

0.85 

93.477 

1500000 

27.863 

94.039 

18.081 

&L822 

10.182 

92.868 

13.03 

93.131 

1600000 

24.812 

93.988 

23.270 

91.271 

3.292 

92.817 

9.90 

93.380 

1700000 

21.750 

93.930         28.  176 

94213 

6.772 

92.759 

6.75 

93.322 

1800000 

18.677 

93.863 

0.940 

94.146 

10.252 

92.692 

3.61 

93.255 

1900000 

15.593 

93.784 

6.189 

94.067 

3.360 

92.613 

0.46 

93.176 

93.970 

2000000 

12.498 

93.687 

'  11.459 

6.838 

92.516 

12.63 

93.079 

2100000 

9.391 

93.562 

16.751 

93.845 

10315 

92.39  1 

9.48 

92.9.'.  1 

2200000 

6.272 

93.386 

22.066 

93.669 

3.420 

92.215 

6.32 

92.778 

2300000 

3.112 

-93.085 

27.403 

-93.368 

6.896 

+91.914 

3.16 

+92.477 

73 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAY.   ARG.  39.  LOG.  33'.  AHG.  33.  LOG.  33'.  ARG.  34.  LOG.  31'.  ARG.  35.  LOG.  35'. 

0 

12.55 

+94.405 

17.07 

-94.635 

5.54 

+94.314 

20.52 

-94.501 

100000 

15.58 

94.387 

4.04 

94.617 

6.52 

94.296 

13.56 

94.483 

200000 

1.97 

94.367 

23.47 

94.597 

7.49 

94.276 

6.61 

94.463 

300000 

4.99 

94.347 

10.46 

94.577 

8.45 

94.256 

23.62 

94.443 

400000 

7.99 

94.326 

29.91 

94.556 

9.41 

94.235 

16.69 

94.422 

500000 

11.00 

94.304 

16.92 

94.534 

10.37 

94.213 

9.76 

94.400 

600000 

13.99 

94.280 

3.95 

94.510 

11.31 

94.189 

2.85 

94.376 

700000 

0.35 

94.255 

23.43 

94.485 

12.25 

94.164 

19.89 

94.351 

800000 

3.33 

94.229 

10.48 

94.459 

13.18 

94.138 

13.00 

94.325 

900000 

6.31 

94.201 

30.00 

94.431 

14.11 

94.110 

6.12 

94.297 

1000000 

9.27 

94.171 

17.08 

94.401 

15.03 

94.080 

23.19 

94.267 

1100000 

12.23 

94.139 

4.17 

94.369 

15.94 

94.048 

16.33 

94.235 

1200000 

16.18 

94.104 

23.72 

94.334 

16.84 

94.013 

9.48 

94.200 

1300000 

1.49 

94.066 

10.84 

94.296 

17.74 

93.975 

2.64 

94.162 

1400000 

4.43 

94.025 

30.43 

94.255 

18.63 

93.934 

19.75 

94.121 

1500000 

7.35 

93.979 

17.58 

94.209 

19.51 

93.888 

12.93 

94.075 

1600000 

10.27 

93.928 

4.74 

94.158 

20.38 

93.837 

6.13 

94.024 

1700000 

13.18 

93.870 

24.37    94.100 

21.25 

93.779 

23.27 

93.966 

1800000 

16.08 

93.803 

11.57    94.033 

22.11 

93.712 

16.49 

93.899 

1900000 

2.33 

93.724 

31.23    93.954 

22.96 

93.633 

9.72 

93.820 

2000000 

5.21 

93.627 

18.46    93.857 

23.80 

93.536 

2.96 

93.723 

2100000 

8.08 

93.502 

5.71    93.7:w 

24.64 

93411 

20.16 

93.598 

2200000 

10.94 

93.326 

25.42    93.556    25.46 

93235 

13.43 

93.422 

2300000 

13.79 

+93.025 

12.70   -93.255    26.28 

+92.934 

6.71 

-93.121 

DAY.   ARG.  36.  LOG.  36'.  ARO.  37.  Loo.  37'.  ARG.  38.  LOG.  38'.  ARG.  39.  Loo.  39'. 

0 

12.32 

-94.237 

34.1 

+95.024 

8.2E 

-94.580 

23.7 

-94.79 

100000 

2.01 

94.219 

26.8 

95.006 

14.02 

94.562 

11.6 

94.77 

200000 

5.41 

94.199 

19.4 

94.986 

1.02 

94.542 

88.8 

94.75 

300000 

8.83 

94.179 

12.0 

94.966 

6.81 

94.522 

21.6 

94.73 

400000 

12.25 

94.158 

4.6 

94.945 

12.62 

94.501 

9.3 

94.71 

500000 

1.96 

94.136 

34.7 

94.923 

18.44 

94.479 

31.5 

94.69 

600000 

5.39 

94.112 

27.3 

94.899 

5.4? 

94.455 

19.2 

94.66 

700000 

8.84 

94.087 

19.8 

94.874 

11.32 

94.430 

6.9 

94.64 

800000 

12.29 

94.061 

12.2 

94.848 

17.18 

94.404 

29.0 

94.61 

900000 

2.03 

94.033 

4.7 

94.820 

4.26 

94.376 

16.6 

94.58 

1000000 

5.49 

91.003 

34.7 

94.790 

10.14 

94.346 

4.2 

94.55 

1100000 

8.96 

93.971 

27.1 

94.758 

16.03 

94.314 

26.2 

94.52 

1200000 

12.45 

93.936 

19.4 

94.723 

3.15 

94.279 

13.7 

94.49 

1300000 

2.22 

93.898 

11.7 

94.685 

9.07 

94.241 

1.3 

94.45 

1400000 

5.71 

93.857 

4.0 

94.641 

15.01 

94.200 

23.2 

94.41 

1500000 

9.22 

93.811 

33.9 

94.598 

2.17 

94.154 

10.7 

94.36 

1600000 

12.73 

93.760    26.1 

94.547 

8.13 

94.103 

32.6 

94.31 

1700000 

2.54 

93.702     18.3 

94.489 

14.11 

94.015 

20.0 

94.25 

1800000 

6.07!    93.6351    10.4 

94.422 

1.31 

93.978 

7.3 

94.19 

1900000 

9.61 

93.556 

2.5 

94.343 

7.32 

93.899 

29.2 

94.11 

2000KIIO 

13.16 

93.459 

32.2 

94.246 

13.34 

93.802 

16.5 

94.01 

3100000 

2.99 

!):i.:ni 

24.2 

94.121 

0.59 

93.677 

3.8 

93.89 

3900000 

6.56 

93.158 

16.2 

93.945 

6.64 

93.501 

25.5 

93.71 

ij:«H)000 

10.13 

-92.857 

8.1 

+93.644 

12.71 

-93.200 

12.8 

-93.41 

- 

74 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAY.   ARG.  4O.  LOG.  4O'.  ARG.  41.  LOG.  41'.  ARO.  43.  LOG.  49'.  ARG.  43.  LOG.  43'. 

0 

3.48 

+94.63 

9.23 

+94.61 

2.57 

-94.28     13.05 

—94.37 

100000 

1.19 

94.61 

3.02 

94.59 

4.93 

94.26      6.96 

94.35 

200000 

17.62 

94.59 

14.71 

94.57 

7.29 

94.24 

0.88 

94.33 

300000 

15.25 

94.57 

8.48 

94.55 

9.66 

94.22 

9.35 

94.31 

400000 

12.86 

94.55 

2.23 

94.53 

1.88 

94.20 

3.28 

94.29 

500000 

10.47 

94.53 

13.89 

94.51 

4.26 

94.18 

11.76 

94.27 

600000 

8.06 

94.51 

7.62 

94.49 

6.65 

94.16 

5.71 

94.25 

700000 

5.64 

94.48 

1.34 

94.46 

9.04 

94.13 

14.20 

94.22 

800000 

3.21 

94.45 

12.97 

94.43 

1.29 

94.10 

8.17 

94.19 

900000 

0.77 

94.43 

6.66 

94.41 

3.69 

94.08 

2.14 

94.17 

1000000 

17.15 

91.40 

0.34 

94.38 

6.10 

94.05 

10.66 

94.14 

1100000 

14.68 

94.36 

11.93 

94.34 

8.52 

94.01 

4.65 

94.10 

1200000 

12.19 

94.33 

5.59 

94.31 

0.80 

93.98 

13.18 

94.07 

1300000 

9.69 

94.29 

17.15 

94.27 

3.23 

93.94 

7.19 

94.03 

1400000 

7.18 

94.25 

10.78 

94.23 

5.66 

93.90 

1.20 

93.99 

1500000 

4.65 

94.20 

4.39 

94.18 

8.11 

93.85 

9.77 

93.94 

1600000 

2.10 

94.15 

15.91 

94.13 

0.41 

93.80 

3.80 

93.89 

1700000 

18.38 

94.10 

9.50 

94.08 

2.87 

93.75 

12.38 

93.84 

1800000 

15.81 

94.03 

3.07 

94.01 

5.34 

93.68 

6.43 

93.77 

1900000 

13.22 

93.95 

14.54 

93.93 

7.81 

93.60 

0.49 

93.69 

2000000 

10.61 

93.85 

8.08 

93.83 

0.15 

93.50 

9.09 

93.59 

2100000 

7.98 

93.73 

1.61 

93.71 

2.63 

93.38 

3.17 

93.47 

2200000 

5.34 

93.55 

13.03 

93.53 

5.13 

93.20 

11.80 

93.29 

2300000 

2.68 

+93.25 

6.53 

+93.23 

7.64 

-92.90 

5.89 

-93.99 

DAY.   ARG.  44.  ARG.  45.  ARG.  46.  ARG.  47.  ARG.  48.  LOG.  48'.  ARO.  49.  ARG.  5O. 

0 

4.8 

8.93 

3.6 

4.93 

6.86 

-94.66 

5.5 

19.8 

100000 

18.5 

11.33 

24.1 

2.95 

26.36 

94.64 

9.4 

1.3 

200000 

9.4 

13.74 

15.7 

0.97 

15.9B 

94.62 

0.5 

7.9 

300000 

0.3 

16.15 

7.2 

13.12 

5.54 

94.60 

4.4 

14.5 

400000 

14.1 

1.67 

27.7 

11.13 

25.09 

94.58 

8.3 

21.1 

500000 

5.1 

4.09 

19.2 

9.15 

14.71 

94.56 

12.3 

2.6 

600000 

18.9 

6.51 

10.7 

7.17 

4.3S 

94.54 

3.5 

9.2 

700000 

10.0 

8.93 

2.2 

5.20 

23.93 

94.51 

7.4 

15.7 

800000 

1.1 

11.36 

22.6 

3.22 

13.59 

94.48 

11.4 

22.3 

900000 

15.1 

13.79 

14.1 

1.24 

3.27 

94.46 

2.6 

3.8 

1000000 

6.2 

16.22 

5.5 

13.40 

22.8S 

94.43 

6.6 

10.3 

1  100000 

20.2 

1.76 

25.9 

11.43 

12.60 

94.39 

10.6 

16.8 

1200000 

11.5 

4.20 

17.3 

9.45 

2.32 

94.36 

1.9 

23.3 

1300000 

2.7 

6.64 

8.7 

7.48 

21.99 

94.33 

5.9 

4.7 

1400000 

16.8 

9.09 

0.1 

5.52 

11.74 

94.28 

10.0 

11.2 

1500000 

8.2 

11.54 

20.4 

3.54 

1.51 

94.23 

1.2 

17.6 

1600000 

22.3 

14.00 

11.8 

1.57 

21.23 

94.18 

5.3 

24.0 

1700000 

13.7 

16.46 

3.1 

13.74 

11.03 

94.13 

9.4 

5.4 

1800000 

5.2 

2.02 

23.4 

11.77 

0.85 

94.06 

0.7 

11.8 

1900000 

19.4 

4.49 

14.7 

9.81 

20.62 

93.98 

4.8 

18.2 

2000000 

10.9 

6.96 

6.0 

7.84 

10.47 

93.88 

8.9 

24.6 

2100000 

2.4 

9.44 

26.3 

5.88 

0.34 

93.76 

0.3 

6.0 

2200000 

16.8 

11.92 

17.5 

3.92 

20.n 

93.58 

4.4 

12.3 

2300000 

8.4 

14.41 

8.8 

1.96 

10.07 

—93.28 

8.6 

18.7 

75 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAY.   ARG.  51.  LOG.  51'.  ARG.  52.  ARG.  53.  LOG.  53'.  ARC.  54.  ARC.  55.  ARG.  56. 

0 

7.90 

—94.13 

7.92 

32.88 

+94.650     1.05 

5.90 

0.11 

100000 

15.10 

94.11 

16.01 

7.18 

94.632 

12.27 

4.85 

5.56 

200000 

4.10 

94.09 

24.10 

99.01 

94.612 

8.42 

3.79 

11.01 

300000 

11.32 

94.07 

6.96 

73.29 

94.592 

4.58 

2.74 

3.35 

400000 

0.33 

94.05 

15.05 

47.56 

94.571 

0.74 

1.68 

8.80 

500000 

7.56 

94.03 

23.14 

21.82 

94.549 

11.97 

0.62 

1.13 

600000 

14.79 

94.01 

5.99 

113.60 

94.525 

8.14 

19.19 

^6.59 

700000 

3.81 

93.98 

14.08 

87.82 

94.500 

4.31 

18.13 

12.05 

800000' 

11.05 

93.95 

22.16 

62.04 

94.474 

0.48 

17.07 

4.38 

900000 

18.29 

93.93 

5.02 

36.24 

94.446 

11.72 

16.01 

9.84 

1000000 

7.32 

93.90 

13.10 

10.43 

94.416 

7.90 

14.95 

2.18 

1100000 

14.58 

93.86 

21.18 

102.14 

94.384 

4.09 

13.89 

7.64 

1200000 

3.62 

93.83 

4.03 

76.30 

94.349 

0.27 

12.82 

13.10 

1300000 

10.88 

93.79 

12.11 

50.44 

94.311 

11.53 

11.76 

5.45 

1400000 

18.15 

93.75 

20.19 

24.57 

94.270 

7.73 

10.69 

10.91 

1500000 

7.20 

93.70 

3.04 

116.22 

94.224 

3.93 

9.63 

3.25 

1600000 

14.48 

93.65 

11.11 

90.31 

94.173 

0.13 

8.56 

8.72 

1700000 

3.54 

93.60 

19.19 

64.39 

94.115 

11.40 

7.49 

1.07 

1800000 

10.83 

93.53 

2.03 

38.45 

94.048 

7.61 

6.43 

6.53 

1900000 

18.12 

93.45 

10.11 

12.50 

93.969 

3.82 

5.36 

12.00 

2000000 

7.20 

93.35 

18.18 

104.07 

93.872 

0.04 

4.29 

4.35 

2100000 

1450 

9323 

1.02 

78.08 

93.747 

11.32 

3.22 

9.82 

2200000 

3.58 

93.05 

9.09 

52.07 

93.571 

7.55 

2.15 

2.17 

2300000 

10.90 

-92.75 

17.16 

26.04 

+93.270 

3.77 

1.07 

7.65 

DAY.   ABO.  57.  ARG.  58.  A  KG.  59.  ARG.  6O.  ARG.  61.  ARG.  63.  ARG.  63.  ARG.  64. 

0 

0.44 

6.20 

23.11 

10.63 

9.27 

1.09 

10.05 

32.84 

100000 

1237 

2.23 

2.72 

9.17 

4.33 

4.63 

9.04 

10.25 

200000 

7.31 

13.46 

21.29 

7.72 

13.01 

8.17 

8.03 

23.68 

300000 

2.27 

9.49 

0.89 

6.28 

8.07 

11.72 

7.02 

1.12 

400000 

14.21 

5.49 

19.45 

4.84 

3.14 

0.82 

6.01 

14.58 

500000 

9.18 

1.49 

38.0C 

3.41 

11.82 

4.37 

5.01 

28.05 

600000 

4.15 

12.72 

17.59 

1.99 

6.89 

7.92 

4.01 

5.65 

700000 

16.11 

8.69 

36.11 

0.57 

1.96 

11.47 

3.01 

19.06 

800000 

11.10 

4.66 

15.72 

21.49 

10.64 

0.58 

2.01 

32.59 

900000 

6.09 

0.63 

8491 

20.09 

5.72 

4.14 

1.01 

10.15 

1000000 

1.10 

11.82 

13.83 

18.69 

0.79 

7.70 

0.02 

23.72 

1100000 

13.09 

7.77 

32.36 

17.31 

9.48 

11.26 

12.66 

1.81 

1200000 

8.11 

3.71 

11.92 

15.93 

4.55 

0.38 

11.68 

14.92 

1300000 

3.14 

14.86 

30.43 

14.56 

13.24 

3.95 

10.69 

28.55 

1400000 

15.16 

10.8C 

9.96 

13.19 

8.32 

7.52 

9.71 

6.21 

1500000 

10.20 

6.71 

28.49 

11.84 

3.40 

11.09 

8.73 

19.88 

1600000 

5.26 

2.61 

8.03 

10.49 

12.09 

0.22 

7.75 

33.58 

1700000 

0.32 

13.75 

26.53 

9.15 

7.17 

3.79 

6.77 

11.30 

1800000 

12.37 

9.64 

6.06 

7.82 

2.26 

7.37 

5.80 

25.04 

1900000 

7.46 

5.5J 

24.55 

6.49 

10.95 

10.95 

4.83 

2.81 

2000000 

2.55 

1.36 

4.06 

5.18 

6.04 

0.09 

3.86 

16.60 

2100000 

14.64 

12.4€ 

22.54 

3.87 

1.12 

3.67 

2.89 

30.41 

•^•jooooo 

9.75 

8.33 

2.01 

2.57 

9.82 

7.26 

1.92 

8.26 

2300000 

4.87 

4.11 

20.51 

1.28 

4.91 

10.85 

0.96 

22.11 

76 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  «very  Hundred  Thousandth  Day  to  2300000. 


DAY.   ARG.  65.  ARG.  66.  AKG.  67.  LOG.  67'.  ARG.  68.  LOG.  68'.  ARG.  69.  LOG.  69'. 

0 

6.08 

15.4 

3.97 

-94.483     6.58 

-94.630 

151.6 

-95.993 

100000 

13.62 

26.5 

0.26 

94.465 

18.84 

94.612 

102.3 

95.S75 

200000 

6.69 

2.0 

24.01 

94.445 

3.43 

94.592 

53.3    95.955 

300000 

14.24 

13.2 

20.32 

94.425 

15.71 

94.572 

4.6 

95.935 

400000 

7.32 

24.3 

16.63 

94.404 

0.33 

94.551 

428.0 

95.914 

500000 

0.41 

35.5 

12.97 

94.382 

12.63 

94.529 

379.8 

95.892 

600000 

7.97 

11.0 

9.30 

94.358 

24.94 

94.505 

332.0 

95.868 

700000 

1.06 

22.2 

5.65 

94.333 

9.60 

94.480 

284.4 

95.843 

800000 

8.63 

33.4 

2.00 

94.307 

21.94 

94.454 

237.2 

95.817 

900000 

1.73 

9.0 

25.81 

94.279 

6.62 

94.426 

190.2 

95.789 

1000000 

9.30 

20.2 

22.19 

94.249 

18.99 

94.396 

143.6 

95.759 

1100000 

2.41 

31.4 

18.57 

94.217 

3.70 

94364 

97.3 

95.727 

1200000 

10.00 

7.0 

14.96    94.182 

16.09 

94.329 

51.4 

95.692 

1300000 

3.11 

18.2 

11.37    94.144 

0.83 

94.291 

5.8    95.654 

1400000 

10.70 

29.5 

7.78 

94.103 

13.25 

94.250 

432.4    95.613 

1500000 

3.83 

5.1 

4.21 

94.057 

25.69 

94.204 

387.5    95.567 

1600000 

11.43 

16.4 

0.65 

94.006 

10.47 

94.153 

342.9    95.516 

1700000 

4.56 

27.6 

24.54 

93.948 

22.94 

94.095 

298.7    95.458 

1800000 

12.16 

3.3 

21.00 

93.881 

7.75 

94028 

254.9    95.391 

1900000 

5.30 

14.6 

17.47 

93.802 

20.25 

93.949 

211.4 

95.312 

95.215 

2000000 

12.92 

25.9 

13.95 

93.705 

5.10 

93.852 

168.4 

2100000 

6.06 

1.6 

10.44 

93.580 

17.63 

93.727 

125.7 

95.090 

2200000 

13.69 

12.9 

6.95 

93.404 

2.52 

93.551 

83.4 

94.914 

2300000 

6.84 

24.3 

3.47 

-93.103 

15.08 

-93.250 

41.5 

-94.613 

DAY.   ARG.  7O.  Los.7O'.  ARG.  71.  ARG.  73.  ARG.  73.  LOG.  73'.  ARG.  74.  LOG.  74'. 

0 

228.4 

-95.096 

500.3 

85.6 

320.3   +96.432    1633 

+96.526 

100000 

300.9 

95.07S 

65.8 

364.6 

1777.3'    96.414     1443 

96.508 

200000 

43.5 

95.051- 

2]  5.3 

244.7 

1043.1 

96.394;    1252    96.488 

300000 

116.2 

95.036 

364.7 

124.8 

308.2 

96.374    10601    96.468 

400000 

188.8 

95.0H 

514.2 

4.9 

1762.9 

96.353 

866 

96.447 

500000 

261.4 

94.995 

79.8 

283.8 

1026.3 

96.331 

672 

96.425 

600000 

4.3 

94.97) 

229.2 

163.9 

289.0 

96.307 

477 

96.401 

700000 

77.0 

94.946 

378.7 

44.0 

1741.2 

96.282 

281 

96.376 

800000 

149.7 

94.92C 

1    528.1 

323.0 

1002.1 

96.256 

84 

96.350 

900000 

222.5 

94.89S 

93.7 

203.1 

262.2 

96.228 

3119 

96.322 

1000000 

295.3 

94.865 

243.2 

83.2 

1711.8 

96.198 

2919 

96.292 

1100000 

38.4 

94.83C 

I    392.6 

362.2 

970.1 

96.166 

2719 

96.260 

1200000 

111.3 

94.79E 

.    542.1 

242.2 

227.5 

96.131 

2517 

96.225 

1300000 

184.2 

94.751; 

107.6 

122.3 

1674.3 

96.093 

2314 

96.187 

1400000 

257.2 

94.716 

257.1 

2.4 

929.8 

96.052 

2110 

96.146 

1500000 

0.4 

94.67C 

I    406.6 

281.4 

184.3 

96.006 

1905 

96.100 

1600000 

73.4 

94.61E 

556.0 

161.5 

1628.2 

95.955 

1698. 

96.049 

1700000 

146.5 

94.56) 

121.0 

41.6 

880.8 

95.897 

1491 

95.991 

1800000 

219.7 

94.494 

271.0 

320.6 

132.3 

95.830 

1282 

95.924 

1900000 

292.9 

94.415 

.    420.5 

200.7 

1573.2 

95.751 

1071 

95.845 

2000000 

36.3 

94.3  If- 

(    570.0 

80.7 

822.6 

95.654 

860 

95.748 

2100000 

109.6 

94.195 

!     135.5 

359.7 

71.0 

95.529 

647 

95.623 

2200000 

183.0 

94.on 

285.0 

239.8 

1508.7 

95.353 

433 

95.447 

2300000 

256.3 

—  93.7H 

»     431.5 

119.9 

754.9 

+95  052 

217 

+95.146 

77 


TABLE    IV. 


Constants  of  Epochs  and  Arguments  for  every  Hundred  Thousandth  Day  to  2300000. 


DAY.       ARC.  73.    ARG.  76.    ARC.  78.      Loo.  78'.     ARG.  79.    ARG.  S».    ARG.  81.    LOG.  81'. 

0 

57844 

69646 

150.567 

-95.206 

81.9 

149.2 

16.37 

—95.025 

100000 

73091 

75172 

26.076 

95.188 

131.3 

288.0 

30.83 

95.007 

200000 

3584 

80362 

89.831 

95.168 

180.7 

113.6 

15.:i-2 

94.987 

300000 

18831 

86117 

153.631 

95.148 

230.4 

252.1 

59.83 

94.967 

400000 

34078 

91534 

29.276 

95.127 

280.2 

77.4 

74.38 

94.946 

500000 

49325 

1424 

93.169 

95.105 

330.2 

215.7 

88.96 

94.924 

600000 

64571 

6766 

157.111 

95.081 

380.3 

40.8 

10:5.57 

94.900 

700000 

798  IS 

12069 

32.899 

95.056 

430.6 

178.9 

118.21 

94.875 

800000 

10312 

17332 

96.910 

95.030 

42.8 

3.7 

8.67 

94.H  19 

900000 

25558 

22554 

161.031 

95.002 

93.4 

111.5 

23.38 

91.821 

1000000 

40805 

27735 

36.973 

94.972 

144.3 

279.2 

38.12 

91.791 

1  100000 

5605-2 

32874 

101.170 

94.940 

195.3 

103.6 

52.89 

94.759 

1200000 

71298 

37969 

165.  120 

94.905 

246.5 

211.0 

67.70 

94.724 

1300000 

1792 

43021 

41.525 

94.867 

297.9 

65.2 

82.55 

94.6S6 

1  400000 

17039 

48029 

105.886 

94.826 

319.5 

202.3 

97,43 

94.6  15 

1500000 

32286 

52991 

170.305 

94.780 

401.3 

26.2 

112.35 

9  1.599 

KiOOOOO 

475'« 

57908 

46.580 

94.729 

15.0 

163.0 

3.10 

91.517 

1700000 

6277H 

62777 

111.116 

94.671 

67.1 

299.7 

18.09 

1)1.190 

1800000 

780  2fi 

67599 

175.712 

94.604 

119.5 

123.2 

33.13 

94.483 

1900000 

8519 

72373 

52.167 

94.525 

172.1 

259.6 

48.20 

94.344 

2000000 

2376f 

77098 

116.887 

94.428 

225.0 

82.7 

63.32 

91.217 

2100000 

390  IS 

81773 

181.669 

94.303 

278.0 

218.8 

78,48 

94.12-2 

9000000 

5426C 

86397 

58.313 

94.127 

331.2 

41.7 

93.68 

03.946 

2300000 

6950S 

90969 

123.224 

-93.826 

384.7 

177.4 

108.92 

-93.645 

DAY.       ARG.  89.  ARG.  83.  ARG.  81.  ARG.  85.  ARG.  86.  ARG.  87.  ARG.  88.  ARG.  89.  ARG.  90. 

0 

8.720 

28.58 

9.80 

6.63 

28.32 

8.97 

12.82 

1.48 

12.4 

100000 

8.256 

38.75 

4.57 

2.47 

33.75 

11.51 

255 

2.92 

6.4 

200000 

7.801 

9.72 

18.50 

21.82 

0.87 

14.05 

6.95 

4.37 

0.5 

300000 

7.353 

19.91 

13.28 

17.65 

6.26 

2.38 

11.34 

5.82 

26.8 

400000 

6.913 

30.10 

8.06 

13.48 

11.64 

4.93 

1.06 

7.29 

20.9 

500000 

6.480 

1.08 

2.85 

9.31 

16.99 

7.48 

5.45 

8.76 

11.!) 

600000 

6.056 

11.29 

16.78 

5.13 

22.33 

10.01 

9.83 

10.21 

9.0 

700000 

5.611 

21.50 

11.57 

0.95 

27.65 

1260 

14.21 

11.73 

3.0 

800000 

5.288 

31.71 

6.37 

20.28 

32.95 

0.95 

3.91 

13.23 

29.4 

900000 

4.835 

2.72 

1.16 

16.10 

38.21 

:i.5-2 

8.28 

14.74 

•2:i.5 

1000000 

4.445 

12.95 

15.11 

11.91 

5.21 

6.09 

12  65 

16.25 

17.6 

1100000 

4.064 

23.18 

9.91 

7.71 

10.45 

8.67 

2.3  1 

17.78 

11.7 

1200000 

3.692 

33.  42 

4.71 

8.52 

15.67 

11.25 

6.70 

0.01 

1:500000 

3.330 

4.46 

18.66 

22.84 

20.87 

13.84 

11.05 

1.55 

82.2 

1400000 

2.877 

1J.71 

13.47 

18.64 

26.05 

2.22 

0.73 

3.11 

26.8 

1500000 

2.633 

21.97 

8.28 

14.44 

31.21 

4.82 

5.08 

4.68 

20.4 

16001100 

•2  :«)0 

8534 

3.10 

10.23 

36.:t  i 

7.12 

9.  12 

6.26 

1  1.5 

1700000 

l.!»7(i 

6,80 

17.0!) 

6.02 

3.17i         10.02 

13.75 

7.85 

8.6 

(800000 

1.662 

16.58 

11.88 

1.81 

8.261        l-2.<i:5 

3.  «2 

9.45 

2.8 

1900000 

1469 

26.87 

6.70 

21.12 

13.3-2 

1.04 

7.75 

11.07 

29.2 

9000000 

1.065 

37.17 

1.68 

16.90 

18.36 

3.66 

12.07 

12.69 

23.4 

2.1  00000 

0.783 

8.26 

16,60 

18,67 

2338 

6.29 

1.73 

14.33 

17.5 

2200000 

0.511 

18.57 

10.33 

8.45 

28.87 

8.93 

6.05 

15.98 

11.7 

2800000 

0.280 

28.89 

5.16 

4.23 

33.34 

11.56 

10.36 

17.64 

5.8 

78 


TABLE   Va 

ARGUMENT    75. 


Correction  of  Arguments 
Days.  ARG.  1.        2.        3.     6.   7.   8.   9.  1O.  11.  13.   Days. 

d. 

0.000 

Diff. 

0.00 

Diff. 

0.00 

Diff. 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

d. 

0 

0834 

186 

0119 

21 

0084 

20 

01 

01 

01 

00 

01 

01 

00 

100000 

1000 

0618 

160 

0098 

18 

0064 

17 

01 

01 

01 

00 

01 

01 

00 

99000 

2000 

0488 

135 

0080 

16 

0047 

15 

01 

01 

01 

00 

01 

01 

00 

98000 

3000 

0353 

109 

0064 

13 

0032 

12 

00 

00 

00 

00 

00 

00 

00 

97000 

4000 

0244 

83 

0051 

10 

0020 

9 

00 

00 

00 

00 

00 

00 

00 

96000 

5000 

0161 

56 

0041 

7 

0011 

6 

00 

00 

00 

00 

00 

00 

00 

95000 

6000 

0105 

30 

0034 

4 

0005 

3 

00 

00 

00 

00 

00 

00 

00 

94000 

7000 

0075 

4 

0030 

0 

0002 

0 

00 

00 

00 

00 

00 

00 

00 

93000 

8000 

0071 

22 

0030 

3 

0002 

2 

00 

00 

00 

00 

00 

00 

00 

92000 

9000 

0093 

48 

0033 

6 

0004 

5 

00 

00 

00 

00 

00 

00 

00 

91000 

10000 

0141 

77 

0039 

9 

0009 

8 

00 

00 

00 

00 

00 

00 

00 

90000 

11000 

0218 

103 

0048 

12 

0017 

11 

00 

00 

00 

00 

00 

00 

00 

89000 

12000 

0321 

129 

0060 

15 

0028 

14 

00 

00 

00 

00 

00 

00 

00 

88000 

13000 

0450 

155 

0075 

18 

0042 

17 

01 

00 

01 

00 

01 

01 

00 

87000 

14000 

0605 

181 

0093 

21 

0059 

19 

01 

00 

01 

00 

01 

01 

00 

86000 

15000 

0786 

202 

0114 

23 

0078 

21 

01 

00 

01 

00 

01 

01 

00 

85000 

16000 

0988 

223 

0137 

26 

0099 

23 

01 

00 

01 

01 

01 

01 

00 

84000 

17000 

1211 

244 

0163 

28 

0122 

26 

01 

00 

01 

01 

01 

01 

00 

83000 

18000 

1455 

265 

0191 

30 

0148 

29 

02 

01 

01 

01 

01 

02 

01 

82000 

19000 

1720 

282 

0221 

33 

0177 

32 

02 

01 

01 

02 

02 

02 

01 

81000 

20000 

2002 

298 

0254 

35 

0209 

33 

02 

01 

01 

02 

02 

02 

01 

80000 

21000 

2300 

313 

0289 

36 

0242 

34 

02 

01 

01 

02 

02 

02 

01 

79000 

22000 

2613 

326 

0325 

38 

0276 

35 

03 

01 

01 

03 

03 

03 

01 

78000 

23000 

2939 

337 

0363 

39 

0311 

35 

03 

01 

02 

03 

03 

03 

01 

77000 

24000 

3276 

348 

0402 

39 

0346 

36 

03 

01 

02 

04 

03 

03 

01 

76000 

25000 

3624 

355 

0441 

40 

0382 

37 

04 

01 

02 

04 

04 

04 

01 

75000 

26000 

3979 

360 

0481 

41 

0419 

38 

04 

01 

02 

04 

04 

04 

01 

74000 

27000 

4339 

363 

0522 

42 

0157 

39 

05 

01 

02 

04 

04 

04 

02 

73000 

28000 

4702 

365 

0564 

43 

0496 

40 

05 

02 

03 

05 

05 

05   02 

72000 

29000 

5067 

367 

0607 

43 

0536 

40 

06 

02 

03 

05 

05 

05 

02 

71000 

30000 

5434 

365 

0650 

42 

0576 

39 

07 

02 

03 

05 

05 

05 

02 

70000 

31000 

5799 

360 

0692 

41 

0615 

39 

07 

02 

03 

05 

06 

06 

02 

69000 

32000 

6159 

352 

0733 

40 

0654 

38 

08 

02 

03 

06 

06 

06 

02 

68000 

33000 

6511 

343 

0773 

40 

0692 

37 

08 

02 

04 

06 

06 

06 

02 

67000 

34000 

6854 

333 

0813 

39 

0729 

35 

09 

02 

04 

07 

07 

07 

03 

66000 

35000 

7187 

321 

0852 

38 

0764 

34 

09 

02 

04 

07 

07 

07 

03 

65000 

36000 

7508 

307 

0890 

36 

0798 

32 

09 

02 

04 

07 

07 

07 

03 

64000 

37000 

7815 

291 

0926 

34 

0830 

31 

10 

02 

04 

08 

07 

07 

03 

63000 

38000 

8106 

274 

0960 

31 

0861 

30 

10 

03 

05 

08 

08 

08 

03 

62000 

39000 

8380 

257 

0991 

29 

0891 

29 

11 

03 

05 

09 

08 

08 

03 

61000 

40000 

8637 

238 

1020 

27 

0920 

27 

11 

03 

05 

09 

08 

OS 

03 

60000 

41000 

8875 

217 

1047 

24 

0947 

24 

11 

03 

05 

09 

08 

08 

03 

59000 

42000 

9092 

194 

1071 

22 

0971 

21 

11 

03 

05 

09 

08 

08 

03 

58000 

43000 

9286 

170 

1093 

20 

0992 

17 

12 

03 

06 

09 

09 

09 

04 

57000 

44000 

9456 

144 

1113 

18 

1009 

14 

12 

04 

06 

10 

09 

09 

04 

56000 

45000 

9600 

118 

1131 

15 

1023 

12 

12 

04 

06 

10 

09 

09 

04 

55000 

46000 

9718 

93 

1146 

11 

1035 

9 

12 

04 

06 

10 

09 

09 

04 

54000 

47000 

9811 

67 

1157 

7 

1044 

7 

12 

04 

06 

10 

09 

09 

04 

53000 

48000 

9878 

41 

1164 

4 

1051 

5 

12 

04 

06 

10 

10 

10 

04 

52000 

49000 

9919 

14 

1168 

1 

1056 

3 

12 

04 

06 

10 

10 

10 

04 

51000 

50000 

9933 

1169 

1059 

12 

04 

06 

10 

10 

10 

04 

50000 

79 


TABLE   Vo. 

ARGUMENT    76. 


Correction  of  Arguments 
Days.  ARG.  1.        ».        3.     6.   7.   8.   9.  1O.  11.  13.   Days. 

d. 

0.00 

Diff. 

0.00 

IhiT 

0.00 

Dilf 

0.00  0.00 

0.00 

0.00 

0.00 

0.00 

0.00 

ii. 

0 

07832 

41 

0145 

5 

0067 

,  5 

00   07 

06 

01 

00 

01 

08 

100000 

1000 

07791 

16 

0140 

2 

0062 

2 

00 

07 

06 

01 

00 

01 

08 

99000 

2000 

07775 

8 

0138 

1 

0060 

1 

00 

07 

06 

01 

00 

01 

08 

9*000 

3000 

07783 

33 

0139 

4 

0061 

3 

00 

07 

06 

01 

00 

01 

OH 

97000 

4000 

07816 

58 

0143 

6 

0064 

6 

00 

07 

06 

01 

00 

01 

08 

9(iOOO 

5000 

07874 

82 

0149 

9 

0070 

9 

00 

07 

06 

01 

00 

01 

08 

95000 

6000 

07956 

105 

0158 

12 

0079 

11 

00 

07 

06 

01 

00 

01 

os 

9  1000 

7000 

08061 

127 

0170 

15 

0090 

II 

00 

07 

06 

01 

00 

01 

08 

93000 

8000 

08188 

149 

0185 

18 

0104 

16 

01 

07 

06 

02 

00 

01 

OS 

92000 

9000 

08337 

171 

0203 

21 

0120 

19 

01 

07 

06 

02 

00 

01 

08 

91  000 

10000 

08508 

194 

0224 

23 

0139 

21 

01 

07 

06 

02 

00 

01 

08 

MOM 

11000 

08702 

216 

0247 

25 

0160 

24 

01 

07 

06 

02 

00 

01 

OS 

89000 

12000 

08918 

239 

0272 

27 

0184 

26 

01 

07 

06 

02 

00 

01 

08 

88000 

13000 

09157 

261 

0299 

30 

0210 

28 

02 

OS 

07 

03 

01 

02 

09 

87000 

14000 

09418 

281 

0329 

32 

0238 

29 

02 

08 

07 

03 

01 

02 

09 

B8MO 

15000 

09699 

298 

0361 

34 

0267 

31 

02 

08 

07 

03 

01 

02 

09 

85000 

16000 

09997 

312 

0395 

35 

0298 

33 

02 

08 

07 

03 

01 

02 

09 

84000 

17000 

10309 

322 

0430 

37 

0331 

35 

02 

08 

07 

04 

02 

03 

09 

88000 

18000 

10631 

332 

0167 

39 

0366 

36 

03 

ON 

08 

04 

02 

03 

09 

S2000 

10000 

10963 

340 

0506 

40 

0402 

37 

03 

08 

08 

05 

02 

03 

09 

81000 

20000 

11303 

351 

0546 

41 

0439 

38 

01 

08 

08 

05 

03 

04 

0!) 

80000 

21000 

11654 

362 

0587 

42 

0477 

39 

04 

(is 

08 

05 

03 

04 

09 

7:)000 

22000 

120  161  272 

0690 

43 

0516 

40 

05 

08 

08 

06 

03 

04 

10 

7SOOO 

23000 

L9888  381 

0672 

11 

0556 

41 

05 

09 

09 

06 

04 

05 

10 

77000 

2  1000 

12769 

391 

0716 

44 

0597 

41 

06 

09 

09 

07 

04 

05 

10 

7(iOOO 

25000 

13160 

390 

0760 

44 

0638 

41 

06 

09 

09 

07 

04 

05 

10 

H88B 

26000 

13550 

388 

0804 

44 

0679 

41 

07 

09 

09 

07 

01 

05 

10 

74000 

27000 

1393s 

382 

0848 

44 

0720 

41 

07 

OS) 

09 

08 

05 

06 

10 

73000 

2SOOO 

1  1320 

374 

08M 

44 

07(il 

41 

08 

10 

10 

08 

05 

06 

10 

72(100 

29000 

14694 

366 

09M 

44 

0802 

40 

08 

10 

10 

09 

06 

07 

11 

71000 

30000 

15060 

360 

0980 

43 

68*9 

39 

09 

10 

10 

09 

06 

07 

11 

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15420 

855 

1023 

42 

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09 

10 

10 

09 

06 

07 

11 

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:i2000 

l.-)77:. 

3  19 

1065 

40 

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37 

10 

10 

10 

09 

07 

08 

11 

68000 

:i:!000 

16121   313 

1105 

39 

0956 

86 

10 

10 

11 

10 

07 

08 

11 

67000 

:t  1000 

Hi  467 

336 

1144 

37 

88M 

36 

11 

10 

11 

10 

07 

08 

11 

(iliOOO 

:!.->000 

16803 

321 

1181 

36 

1028 

31 

11 

10 

11 

10 

08 

09 

11 

(;:>ooo 

36000 

17121 

302 

1217 

M 

1062 

32 

11 

10 

11 

10 

08 

09 

11 

(il(X)O 

37000 

17426 

281 

lv!.-(| 

:(2 

1091 

80 

12 

10 

11 

11 

08 

09 

11 

63000 

88808 

17707 

259 

1288 

30 

1121 

28 

12 

11 

12 

11 

OB 

10 

12 

(  12000 

39000 

17966 

236 

1313 

29 

1152 

26 

13 

11 

12 

11 

09 

10 

12 

61000 

40000 

1820-.! 

218 

1342 

27 

117S 

24 

13 

11 

12 

12 

09 

10 

12 

60000 

41000 

1  >  120   200 

1369 

94 

1202 

22 

13 

11 

12 

12 

09 

10 

12 

5MMO 

12000 

Is,  ;-.!()    Is-.; 

1898 

21 

1  22  1 

20 

13 

11 

12 

12 

09 

10 

12 

:>sooo 

43000 

IssO-.'   |i;o 

mi 

18 

12  11 

17 

14 

11 

12 

13 

in 

11 

12 

57800 

11000 

189li  1   1  12 

1  132 

15 

1261 

15 

14 

II 

12 

13 

10 

11 

12 

58880 

45000 

19106   117 

1117 

M 

me 

12 

14 

II 

12 

13 

10 

11 

12 

55000 

46000 

19223   HS 

1  I.'.!) 

10 

I2S8    9 

14 

11 

12 

H 

10 

11 

12 

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»7ooo 

1!I311    60 

1  169    7 

121)7    6 

14 

11 

12 

13 

10 

11 

12 

53000 

18000 

19371    3.-I 

1  17;;   :. 

1303 

4 

14 

11 

12 

13 

10 

11 

12 

52000 

19000 

19106    10 

11N1 

2 

1307 

1 

14 

11 

12 

13 

10 

11 

12 

51000 

50000 

10416 

148B 

1308 

14 

11 

12 

13 

10 

11 

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50000 

80 


LONGITUDE     TABLES, 


EQUATIONS. 
TABLES  VI.-LXXXII. 


SECOND   AND   FOURTH   DIFFERENCES 


FOR  A  QUARTER  OF  A  DAT. 


TABLES  VI'.- XXXV".,  VI.™ - XXI.m 


TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  +  22639  '.2  sin.  x  +  769".5  sin.  2x  +  36".7  sin.  3x  +  2".0  sin.  4x  -f  O'M  sin.  5*. 

Period,  27.55455245  days. 


Da 

vs.             ( 

> 

1 

i 

2 

i 

3 

4 

]',-,   I'll. 

oi  ,1  1  ay. 

Equation. 

Log.  Dif 

l-J  i  u  ii  ion. 

Log.  Dif. 

Equation. 

Log.  Dif. 

K<[u;ilion. 

Log.  Dif. 

Initiation. 

lag.  Dif. 

.00 

60.87 

-0.5682 

274.44 

+0.9117 

1684.78 

+  1.3038 

4268.29 

+  1.4981 

7924.37 

+  1.6172 

.01 

57.17 

o.  5539 

282.60 

0.9180 

1704.91 

1.3065 

4299.78 

1.4995 

7965.79 

1  6182 

.02 

53.59 

05103 

290.88 

0.9213 

1725.16 

1.3090 

4331.37 

1.5011 

8007.31 

1.6192 

.03 

50.12 

0.5250 

299.28 

0-9304 

1745.53 

1.3113 

4363.07 

1.5025 

SO  is.  92 

1.6201 

.04 

46.77 

0.5092 

307.80 

0.9365 

1766.01 

1.3139 

4394.88 

1.5041 

8090.62 

1.6209 

.05 

43.54 

0.  l!»  I'.1 

316.44 

0.9425 

1786.61 

1.3164 

4426.80 

1  .5055 

8132.40 

1.6219 

.06 

40.42 

0.4771 

325.20 

0.9484 

1807.33 

1.3187 

1  I5S.S3 

1.5069 

8171.27 

1.6228 

.07 

37.4-.> 

0.4594 

334.08 

0.9512 

1828.16 

1.3212 

4190.96 

1.5084 

8216.23 

1.6237 

.08 

34.54 

0.  1  125 

:i  13  os 

0.9600 

1849.11 

1.3236 

4523.20 

1.5099 

8258.28 

1.6217 

.09 

31.77 

0.4232 

352.20 

0.9657 

1870.18 

1.3261 

4555.55 

1.5112 

N300.42 

1.6256 

.10 

29.12 

0.4048 

36  1  .44 

0.9713 

1891.37 

1.3281 

4588.00 

1.5127 

83  12.65 

1.6264 

.11 

26.5S 

0.383s 

370.SO 

O.!)7tis 

1912.67 

1.330N 

4620.56 

1.5110 

S3S1.96 

1.6274 

.12 

24.16 

0.3817 

380.28 

0.9827 

1934.0!* 

1.3332 

1(153.22 

1.5151 

S  127.36 

1  .6283 

.13 

21.86 

0.33s;> 

389.89 

0.9881 

1955.63 

1.3357 

4685.99 

1.5170 

8469.85 

1.6291 

.14 

19.68 

0.3160 

399.62 

0.9930 

1977.2!! 

1.3379 

4718.87 

1.5183 

8512.42 

1.6300 

.15 

17.61 

0.2900 

409.46 

0.9983 

1999.06 

1.3103 

4751.85 

1.5197 

8555.08 

16309 

.16 

15.66 

0.2625 

419.42 

1.0033 

2020.95 

1.3426 

4784.94 

1.5210 

8597.  S3 

1.6318 

.17 

13.88 

0.2355 

429.50 

1.0090 

2012.96 

1.3450 

4818.13 

1.5224 

S6  10.67 

1  .6327 

.18 

12.11 

0.2011 

439.71 

1.0140 

2065.0!) 

1.3172 

4851.13 

1.5238 

8683.5!) 

1.6335 

.19 

10.51 

0.1703 

450.04 

1.0191 

2087.33 

[.8495 

4884.84 

1.5251 

8726.59 

1.6311 

.20 

9.03 

0.1335 

160,49 

1.0237 

2109.6!) 

1.3516 

1!)  18.35 

1.5266 

8769.68 

1.6353 

.21 

7.67 

0.0969 

471.05 

1.0286 

2  132.  16 

1.353!) 

4951  97 

1.5278 

SM2.S6 

1.6361 

.22 

6.42 

0.0531 

481.73 

1  .033N 

2151.75 

1.3562 

4985.69 

1.5292 

8856.12 

1.6370 

.23 

5.29 

0.0013 

492.54 

1.0386 

2177.16 

1.35S3 

5019.51 

1.5306 

h899.  17 

1.6378 

.24 

4.28 

9.9512 

503.47 

1.0433 

2200.28 

1.3606 

5053.44 

1.5319 

89  42.90 

1.6386 

.25 

3.38 

9.8921 

514.52 

1.0479 

2223.22 

.8628 

50S7.  17 

1.5333 

8986.41 

1.6395 

.96 

2.60 

9.M  1!C> 

525.69 

1.0526 

2216.2S 

,3(!19 

5121.61 

1.5315 

!  1030.01 

1.6103 

.27 

1.94 

9.732  1 

536.98 

1.0569 

226!).i:> 

.3672 

5155,85 

1.5358 

9073.6!) 

1.6112 

.28 

1.40 

9.6232 

5  18.3s 

1.0618 

2292.7  1 

.3692 

5190.19 

1.5372 

9117.16 

1.6120 

.29 

0.98 

9.4914 

559.91 

1.0664 

2316.11 

.3715 

5224.64 

1.5384 

9161.31 

1.6128 

.30 

0.67 

9.2788 

571.56 

1.0708 

2339.66 

.3736 

5259.19 

1.5399 

9205.24 

1.6137 

.31 

0.48 

.8.8151 

583:33 

1.0749 

2363.30 

.3756 

5293.85 

1.5111 

9219.26 

1.6444 

.32 

0.41 

1-8.6990 

595.28 

1.0795 

2387.05 

.3779 

5328.61 

1.5121 

9293.36 

1.6152 

.33 

0.46 

9.20  1  1 

607.23 

1.0638 

2110.92 

.3799 

5363.  17 

1.5437 

9337.54 

1.6160 

.34 

0.62 

9.4  172 

619.36 

1.0881 

2  13  !.!)() 

,3820 

539".  1  1 

1.5150 

9381.  NO 

1.6168 

.:r> 

0.90 

9.6021 

631.61 

1.0923 

2459.00 

.3s  12 

5133.51 

1.5462 

9426.  1  1 

1.6476 

.:t(i 

130 

9.7160 

643.98 

1.0968 

21s:!.-.".' 

.3861 

51  68.  68 

1.5474 

9170.51! 

1.6484 

.37 

1.82 

9.8062 

656.  n 

1.1007 

2507.;.;. 

.3SS  1 

5503.95 

1.5JN7 

9515.06 

1.6498 

.38 

2.46 

9.8761 

669.08 

.1052 

2531.99 

.3903 

553!).  32 

1.5500 

955!).  65 

1.6500 

.39 

3.21 

9.9395 

681.82 

.10&9 

2556.55 

.3923 

5571,  Mi 

1.5512 

9601.32 

1.6508 

.40 

4.08 

9.9956 

691.67 

.1130 

2581.23 

.3943 

56  10  38 

1.5521 

96  19.07 

1.6515 

.41 

5.07 

o.oi53 

707.64 

.1168 

2606.02 

.3962 

5(i  16.06 

1.5537 

9693.  s!) 

1.6522 

.42 

6.18 

0.0899 

720.73 

.1209 

2630.  92 

.8982 

5681.84 

1.5519 

973N.79 

1  .6530 

.491 

7.11 

0.1303 

733.9  1 

.1249 

2655.9  1 

.1(101 

5717.72 

1  .556  1 

9783.77 

1.6539 

.11 

8.76 

0.1644 

7  17.27 

.1287 

2681.08 

.  1023 

5753.70 

1.5574 

<!"•>  N  1 

1.6517 

.45 

10.29 

0.1987 

760.72 

.1326 

2706.33 

1011 

5789.79 

1  ..v.st; 

9873.99 

1.6553 

.46 

1  IX) 

0.2-104 

77  1.29 

,13<i7 

2731.6!) 

.  1062 

5825.98 

1.5597 

9919.21 

1.6560 

.47 

18.50 

0.2601 

787.99 

.1  lo.-. 

2757.17 

.  1080 

5862.2$ 

1.5610 

9!'6I.50 

1.656S 

.48 

15.32 

0.2878 

SOI.  HI 

.1  no 

2>2.76 

.1101 

5898.68 

1.5622 

10009.87 

1.6577 

,1!) 

J7.26 

0.3139 

815.74 

.1476 

2MI.8.  17 

til!) 

51)35.  1  1 

1.5634 

10055.33 

1.6584 

.:,() 

19.3-2 

+0.33S5 

+  1.1513 

2831.29 

M    1138 

5!  (71.73 

(  1.5616 

10100.87 

+  1.6591 

S2 


TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  -J-  22G39".2  sin.  x  -{-  769".5  sin.  2z  -f-  36". 7  sin.  3x  -(-  2".0  sin.  4c  -}-  0".l  sin.  5x, 

Period,  27.55455245  days. 


Days.      O 

1 

2 

3 

4 

Decimal! 

of  .1  Da/. 

Equation. 

Log.  Dif. 

Equal  inn. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

.50 

19.32 

+0.3385 

829".79 

+I.15t3 

2834.29 

+1.4138 

5971.73 

+  1.5646 

10100.87 

+1.6591 

.51 

21.5D 

0.3017 

843.96 

1.1550 

2860.22 

1.4158 

6008.42 

1.5656 

10146.48  1.6598 

.52 

23.80 

0.3820 

858.25 

1.1587 

2886.27 

1.4176 

6045.20 

1.5668 

10192.17 

1.6606 

.53 

26.21 

0.4031 

872.66 

1.1620 

2912.43 

1.4194 

6082.08 

1.5681 

10237.94 

1.6614 

.54 

2b.74 

0.4232 

887.20 

1.1662 

2938.70 

1.4215 

6119.07 

1.5692 

10283.79 

1.6620 

.55 

31.39 

0  1  425 

901.86 

1.1694 

2965.09 

1.4232 

6156.16 

1.5703 

10329.71 

1.6627 

.56 

34  10 

0  460i> 

9.6.63  1.1730 

2991.59 

1.425: 

6193.34 

1.5714.'  10375.70 

1.6634 

.57 

37.05 

0.  1786 

9-SI.521  1.1764 

8018.21 

1.420S 

6230.62  1.5720i  I04.M.77 

1.6642 

.53 

40.06 

0.1955 

910.5:{j  1.1801 

3044.93 

1.4288 

6268.00 

1.5738 

10467.92 

1.6649 

.59 

43.19 

0.5119 

961.67 

1.1833 

3071.77 

1.4306 

6305.48 

1.5750 

10514.15 

1.6658 

.00 

46.44 

0.5276 

976.92 

1.1867 

3098.72 

1.4325 

6343.06 

1.5760 

10560.46 

1.6663 

.61 

49.81 

0.54  Hi 

992.29 

1.1900 

3125.79 

1.4343 

6380.73 

1.5771 

10606.84 

1.6670 

.62 

53.29 

0.55<53 

1007.78 

1.1934 

3152.97 

1.4300 

6418.50 

1.57S2 

10653.29 

1.6676 

.63 

56.89 

0.5705 

1023.39 

1.1967 

3180.26 

1.4378 

6456.37 

1.5794 

10099.81 

1.6684 

.64 

60.61 

0.5855 

1039.12 

1.2000 

3207.66 

1.4396 

6494.34 

1.5806 

10746.41 

1.6691 

.65 

64.46 

0.5988 

1054.97 

1.2034 

3235.18 

1.4414 

6532.41 

1.5817 

10793.09 

1.6698 

.66 

68.43 

0.6107 

1070  94 

1.2065 

3262.81 

1.4433 

6570.58 

1.5826 

10839.84 

1.6704 

.67 

72.51 

0.6232 

1087.03 

1.20J5 

3^90.56 

1.4  itb 

6608.83 

1.5838 

10886.66 

1.6711 

.68 

76.71 

0.0355 

1103.23 

1.2130 

3318.42 

1.4467 

6647.18 

1.5849 

10933.55 

1.6718 

.69 

81.03 

0.6474 

1119.56 

1.2161 

3346.39 

1.4484 

6685.63 

1.5861 

10980.52 

1.6725 

.70 

85.47 

0.6599 

1136.01 

1.2191 

3374.47 

1.4501 

6724.18 

1.5872 

11027.56 

1.6731 

.71 

90.04 

0.6702 

1152.57 

1.2225 

3402.66 

1.4518 

6762.83 

1.5882 

11074.67 

1.6737 

.72 

94.72 

0.6812 

1169.26 

1.2256 

3430.96 

1.4535 

6801.57 

1.5892 

11121.85 

1.6745 

.73 

99.52 

0.6920 

1186.07 

1.2284 

3459.37 

1.4553 

6840.40 

1.5903 

11109.11 

1.6752 

.74 

104.44 

0.7024 

1202.99 

1.2314 

3487.90 

1.4570 

6879.33 

1.5914 

11216.44 

1.6758 

.75 

109.48 

0.7126 

1220.03 

1.2:47 

3510.54 

1.1587 

G9!8."6 

1.592! 

112.13.f-! 

1.6764 

.76 

11464 

0.7226 

1237.20 

1.2375 

3545.29 

1.4602 

6957.48 

1.5935 

11311.31 

1.6771 

.77 

119.92 

0.7316 

1254.48 

1.2405 

3574.14 

1.4620 

6996.70 

1.5945 

11358.85 

1.6776 

.78 

125.31 

07419 

1271.89 

1.2  137 

S'lO'Vll 

1.4037 

7036.01 

1.5955 

1140645 

16783 

.79 

130.83 

0.7513 

1289.41 

1.2465 

3632.^0 

1.4652 

7075.41 

1.5966 

11454.13 

1.6790 

.80 

136.47 

0.7597 

1307.05 

1.2495 

3661.39 

1.4669 

7114.91 

1.5077 

11501.88 

1.6796 

.81 

142.22 

0.7  ;.>  i 

13J4.81 

1.2521 

3  190.69 

1.4S84 

7154.51 

1.5.87 

11549.70 

1.6802 

.82 

148.10 

0.7782 

1342.68 

1.2553 

3720.10 

1.4701 

7194.20 

1.5997 

11597.59 

1.6808 

.83 

154.10 

0.786* 

1360.68 

1.2582 

3749.62 

1.4719 

7233.98 

1.6007 

11645.54 

1.6814 

.84 

160.22 

0.7945 

1378.80 

1.2610 

3779.26 

1.4735 

7273.85 

1.6017 

11693.56 

1.0820 

.85 

166.45 

0.8035 

1397.04 

1.2637 

3809.01 

1.4749 

7313.82 

1.6027 

11741.65 

1.0828 

.86 

172.81 

0.8116 

1415.39 

1.2664 

3838.86 

1.4766 

7353.88 

1.6037 

1  1789.82 

1.6833 

.87 

179.29 

0.8195 

1433.86 

1.2693 

3868.82 

1.4781 

7394.03 

1.6047 

11838.05 

1.6838 

.88 

185.89 

0.8274 

1452.45 

1.2720 

3898.89 

1.4799 

7434.27 

1.6057 

11886.34 

1.6844 

.89 

•  192.61 

0.8351 

1471.16 

1.2749 

3929.08 

1.4814 

7474.61 

1.6067 

11934.70 

1.6851 

.90 

199.45 

0.8420 

1489.99 

1.2777 

3959.38 

1.4829 

7515.04 

1.6077 

11983.13 

1.6857 

.91 

206.40 

0.8500 

1508.94 

1.2801 

3989.78 

1.4844 

7555.56 

1.6086 

12031.63 

1.6862 

.92 

213.48 

0.8573 

1528.00 

1.2828 

4020.29 

1.4860 

7596.17 

1.6097 

12080.19 

1.6869 

.93 

220.68 

0.8645 

1547.18 

1.2858 

4050.91 

1.4875 

7636.88 

1.6107 

12128.82 

1.6875 

.94 

228.00 

0.8716 

1566.49 

1.2882 

4081.64 

1.4892 

7677.68 

1.6116 

12177.52 

1.6880 

.95 

235.44 

0.8785 

1585.91 

1.2909 

4112.48 

1.4907 

7718.57 

1.6126 

12226.28 

1.6887 

,96 

213.00 

0.8854 

1605.45 

1.2936 

4143.43 

1.4921 

7759.55 

1.6135 

12275.11 

1.0892 

.97 

250.68 

0.8921 

1625.11 

1.2961 

4174.48 

1.4936 

7800.62 

1.6145 

12324.00 

1.6897 

.98 

258.48 

0.8987 

1644.88 

1.2987 

4205.64 

1.4952 

7841.78 

1.6154 

12372.95 

1.6904 

.99 

266.40 

0.9053 

1664.77 

1.3012 

4236.91 

1.4966 

7883.03 

1.6164 

12421.97 

1.6910 

1.00 

274.44 

+0.9117 

1684.78 

+1.3038 

4268.29 

+1.4981 

7924.37 

+1.6172 

12471.06 

+1.6915 

83 


TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  -f  22639".2  sin.  x  -4-  769".5  sin.  2x  -f-  36".7  sin.  3x  -f  2".0  sin.  4x  +  0".l  sin.  5x. 

Period,  27.55455245  days. 


Da 

ys              < 

* 

< 

1 

I 

r 

i 

8 

o 

Decimals 
of  a  Day. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dir. 

Equation. 

Log.  Dif. 

Equation. 

lag.  Dif. 

.00 

12471.06 

+1.6915 

17650.56 

+1.7321 

23146.27 

+  1.7434 

28610.81 

+1.7267 

33099.81 

+1.6804 

.01 

12520.21 

1.6921 

17704.52 

1.7323 

23201.66 

1.7483 

28664.11 

1.7264 

33717.75 

1.0797 

.02 

12569.42 

1.6927 

17758.51 

1.7325 

23257.04 

1.7433 

28717.37 

1.7262 

33795.5- 

1.0791 

.03 

12618.70 

1.6932 

17812.52 

1.7328 

23312.42 

1.7133 

28770.60 

1.7258 

33813.35 

1.0785 

.04 

12668.04 

1.6937 

17866.57 

1.7331 

23367.80 

1.7432 

28823.79 

1.7255 

33891.05 

1.6779 

.05 

12717.44 

1.6942 

17920.66 

1.7333 

23423.17 

1.7132 

28876.94 

1.7251 

33938.68 

1.6772 

.06 

12766.90 

1.6949 

17971.77 

1.7335 

23478.54 

1.7432 

28930.04 

1.7249 

339S0.21 

1.0766 

.07 

12816.43 

1.6954 

18028.90 

1.7338 

23533.90 

1.7131 

28983.  1  1 

1.7848 

31033.73 

1.6700 

.08 

12866.02 

1.6959 

18083.07 

1.7340 

23589.25 

1.7431 

29036.14 

1.7212 

31081.15 

]  .0753 

.09 

12915.67 

1.6966 

18137.27 

1.7342 

23644.60 

1.7131 

29089.13 

1.7239 

34128.49 

1.0715 

.10 

12965.39 

1.6970 

18191.50 

1.7345 

23699.95 

1.7430 

29142.  Os 

1.7235 

34175.76 

1.6739 

.11 

13015.16 

1.6975 

18245.76 

1.7310 

23755.29 

1.7130 

29191.98 

1.7231 

34222.90 

1.0733 

.12 

13064.99 

1.6980 

18300.04 

1.7S49 

23810.02 

1.7129 

29247.84 

1.7228 

3  1270.09 

1  0720 

.13 

13114.88 

1.6986 

18354.35 

1.7351 

23865.94 

1.7428 

29300.66 

1.7225 

31317.15 

1.0720 

.14 

13164.84 

1.6991 

18408.69 

1.7354 

23921.25 

1.7428 

29353.44 

1.7221 

34364.14 

1.0713 

.15 

13214.85 

1.6996 

18463.06 

1.7355 

23976.56 

1.7427 

29406.18 

1.7217 

31111.05 

1.0700 

.16 

13261.92 

1.7001 

18517.45 

1.7358 

24031.86 

1.7426 

2945s.  s7 

1.7211 

34457.89 

1  0700 

.17 

13315.05 

1.7006 

18571.87 

1.7360 

24087.15 

1.7425 

29511.52 

1.7211 

3150100 

1.0092 

.18 

13365.24 

1.7010 

1862632 

1.7362 

24142,13 

1.7425 

29564.13 

1.7208 

31551  .35 

l.OOSO 

.19 

13415.48 

1.7017 

18680.79 

1.7363 

24197.70 

1.7424 

29616.70 

1.7204 

31597.97 

1.6679 

.20 

13465.79 

1.7021 

18735.28 

1.7366 

21252.96 

1.7423 

29669.22 

1.7199 

31614.51 

1.0072 

.21 

1351*).  15 

1.7026 

18789.80 

1.7308 

2130S.21 

1.7422 

29721.69 

1.7195 

310909s 

1.0005 

.22 

135(56.57 

1.7031 

1881  1.35 

1.7370 

21303.15 

1.7421 

29771.12 

1.7192 

31737.3S 

1.6658 

.23 

13617.05 

1.7036 

18898.92 

1.7372 

24418.68 

1.7421 

29826.51 

1.7188 

31783.70 

1.0051 

.24 

13667.58 

1.7011 

18953.52 

1.7374 

24473.89 

1.7120 

29878.85 

1.7185 

34829.95 

1.0614 

.25 

13718.17 

.7046 

19008.14 

1.7375 

21529.10 

1.7119 

29931.15 

1.7181 

31870.12 

1.6686 

.26 

1370s.  vj 

.7050 

19062.78 

1.7377 

2458l.:;t> 

1.74  IS 

299*-:!  .  !!> 

1.7177 

::  1922.21 

1.0630 

.27 

13s  19.52 

.7055 

19117.44 

1  7379 

21639.  is 

.7417 

30035.60 

1.7172 

3  I90S.23 

1.6622 

'.28 

13S70.2S 

.7060 

19172.13 

1  .73S  1 

2IU91.65 

.7416 

300S7.75 

1.7109 

35011.17 

1.6616 

.29 

13921.09 

.7065 

19226.84 

1.7382 

2  17  19.80 

.7416 

30139.  si; 

1.716-0 

3500001 

1.6608 

.30 

13971.96 

1.7069 

19281.57 

1.7381 

2  180  1.95 

.7414 

30191.93 

1.7161 

35105  s:j 

i.oooo 

.HI 

11022.  ss 

1.7074 

19330.32 

1.  73.stJ 

21SU0.08 

.7113 

30213.91 

1.7158 

35151.51 

1  0593 

.32 

14073.86 

1.7079 

19:5!)  109 

1  ::;SN 

21915.19 

.7112 

30295.91 

1.7153 

35197.17 

1.05NO 

.:!:{ 

11121.  Ml 

1  .70S4 

19I15.S9 

1.7390 

21970.29 

.7110 

303  17.82 

1.71  19 

"52  12.73 

.0579 

.34 

14175.98 

1.7087 

19500.71 

1.7390 

25025.3s 

.7409 

30399.69 

1.7145 

36388.81 

.0572 

.35 

11227.12 

1.7092 

19.-i55.51 

1.7392 

250M).  15 

.7108 

30151.51 

1.7140 

35333.02 

.0503 

.36 

1  I27S.31 

1.7096 

19610.39 

1.7391 

25135.50 

.7107 

30503.2N 

1.7137 

35378.9  1 

.0555 

.37 

1  1329  55 

.7101 

19005.27 

1.7390 

25190.5! 

.7  10U 

30555.00 

1.7132 

36434.18 

.0519 

.38 

1  13M».-,.~, 

.7105 

19720.17 

1.7397 

252  15.  5C 

.7  105 

30600.67 

1.7188 

35l09.:<5 

.05  1  1 

.39 

1  4  132.20 

.7111 

19775.08 

1.7398 

25300.57 

.7101 

30688.29 

1.7121 

3551  1.11 

.0533 

.40 

14483.61 

.7114 

19830.01 

1  .7  100 

25:!55.57 

.7  102 

30709.  SO 

1.7120 

35559.  15 

.0521 

.41 

1  1535.00 

.7118 

19884.96 

1.7102 

25110.51 

.7100 

30701.3s 

1.7110 

351,01.37 

.6518 

.1-2 

i  i.-»o  :•;; 

.7123 

199:19.93 

1.7403 

25465.49 

,7398 

30-12.85 

1.7112 

35(1  19.22 

.0510 

.13 

1403-  12 

.7127 

19991.91 

1  .7  105 

25520.  12 

.7898 

30-01.27 

1.7107 

35093.99 

.0502 

.11 

1  10-9.73 

.1191 

2011  19.92 

1.7408 

25575.3  1 

.7396 

::o9  i5.oi 

1.7102 

35738.08 

0191 

.48 

1J7  11  39 

,7188 

20101.91 

1.710(1 

25'  130.21 

.7391 

30900.95 

1.705)8 

35783.29 

.dlsO 

M 

14793.09 

.711(1 

20l.~>:i.97 

1.7IOS 

46685.  IS 

.7:193 

3  10  18  21 

1.7d9  1 

35827.81 

.0  179 

.17 

l  is  n  s.~, 

.7143 

2021.  -,.02 

1.7409 

257:19.  98 

.7391 

31009.12 

1.7088 

35872.20 

.0170 

.IN 

l  1S9U.05 

.71  Is 

20:70.09 

1.7110 

25791.89 

.7390 

31120.57 

1.7081 

35910.02 

1.6462 

.I'.i 

119  Is  51 

.7153 

20325.17 

1.7112 

2~>s|9.(,l 

,7388 

31171.07 

1  7080 

3511(10.90 

1  0151 

.50 

15000.12 

-f-l.71.~ili 

20:is().27 

(•1.7413 

25901.11 

h  1.7386 

31222.72 

+  1.7075 

30005.10 

II.  011(1 

1 

si 


TABLE  VI.    ARGUMENT  1. 


Equation  =  22655^.226  -4-  22639".2  sin.  x  -4-  769".5  sin.  2z  -j-  36".7  sin.  3x  -f-  2".0  sin.  4r/0)".l  shi. 

Period,  27.55455245  days. 


r  j>j»,«"_.*t 

Days.      5 

6 

7 

8 

v^*i'  urLi;i  J 
^»—  .  --= 

Decimals 
ul  a  Day. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif 

.50 

15000.42 

+  1.7156 

20380.27 

+1.7413 

25904.4  1 

+1.7386 

31222.72+1.7075 

36005.10 

+  1.6l4'i 

.51 

15052.37 

1.7160 

20435.38 

1.7413 

25959.22 

1.7385 

31273.71   1.7070 

360  19.22 

1.6439 

.52 

15101.37 

1.7164 

20190.50 

1.7415 

26013.98 

1.7383 

31324.65   1.7066 

36093.2fi 

1.64:!0 

.53 

15156.42 

1.7167 

20545.64 

1.7416 

26068.72 

1.7382 

31375.53   1.7062 

36137.21 

1.6422 

.54 

15208.51 

1.7171 

20600.79 

1.7417 

26123.44 

1.7379 

31426.36 

1.7057 

36181.08 

1.6414 

.55 

15260.65 

1.7176 

20655.96 

1.7418 

26178.13 

1.7378 

31477.14 

1.7052 

36224.87 

1.6405 

.56 

15312.84 

1.7180 

20711.14 

1.7419 

26232.80 

1.7376 

31527.86   1.7047 

36268.57 

1.6397 

.57 

15365.08 

1.7184 

20766.33!  1.7119 

26287.45 

1.7371 

31578.52  1.7042 

36312.19 

1.6389 

.58 

15417.36 

1.7187 

20821.53 

1.7420 

26342.07 

1.7372 

31629.12'  1.7037 

3635573 

1.6380 

.59 

15469.69 

1.7191 

20876.74 

1.7421 

26396.67 

1.7370 

31679.67 

1.703-2 

36399.18 

1.6372 

.60 

15522.06 

1.7195 

20931.96 

1.7422 

26451.25 

1.7368 

31730.16 

1.7027 

36442.55 

1.6363 

.61 

15574.48 

1.7198 

20987.19 

1.7423 

26505.80 

1.7366 

31780.60 

1.70-23 

36485.83 

1.6355 

.62 

15626.91 

1.7203 

21042.44 

1.7425 

26560.33 

1.7364 

31830.98 

1.7018 

36529.03 

1.6346 

.63 

15679.45 

1.7206 

21097.71 

1.7425 

26614.83 

1.7362 

31881.30 

1.7012 

36572.14 

1.6338 

.61 

15732.00 

1.7210 

21152.98 

1.7425 

20669.31 

1.7360 

31931.56 

1.7007 

36615.17 

1.6329 

.65 

15784.60 

1.7213 

21208.26 

1.7425 

26723.76 

1.7358 

31981.76 

1.7002 

36658.11 

1.6320 

.66 

15837.24 

1.7217 

21263.54 

1.7127 

26778.19 

1.7356 

32031.91 

1.6998 

36700.97 

1.6311 

.67 

15889.92 

1.7220 

21318.84 

1.7127 

26832.59 

1.7351 

32082.00 

1.6992 

36743.74 

1.6302 

.68 

15942.65 

1.7224 

21374.11 

1.7428 

26886.96 

1.7352 

32132.03 

1.6987 

36786.42 

1.6294 

.69 

15995.42 

1.7227 

21429.45 

1.7429 

26911.31 

1.7350 

32181.99 

1.6981 

36829.02 

1.6285 

.70 

16018.23 

1.7230 

21484.77 

1.7429 

26995.63 

1.7347 

32231.89 

1.6976 

3687  1  .53 

1.6276 

.71 

16101.08 

1.7233 

21540.10 

1.7430 

27049.92 

1.7345 

32281.74 

1.6972 

36913.95 

1  .6267 

.72 

16153.97 

1.7238 

21595.44 

1.7130 

27101.18 

1.7343 

32331.53 

1.6967 

36956.29 

1.6258 

.73 

16206.91 

1.7241 

2165078 

1.7431 

27158.42 

1.7341 

32381.26 

1.6961 

36998.54 

1.6249 

.74 

16259.89 

1.7215 

21706.13 

1.7431 

27212.63 

1.7339 

32430.93 

1.6955 

37040.70 

1.6240 

.75 

16312.91 

1.7248 

21761.48 

1.7432 

27266.81 

1.7336 

32480.53 

1.6950 

37082.78 

1.6231 

.76 

16365.97 

1.7250 

21816.84 

1.7432 

27320.96 

1.7331 

32530.07   1.6943 

37124.77 

1  .6222 

.77 

16419.06 

1.7251 

21872.20 

1.7432 

27375.08 

1.7330 

32579.54,  1.6939 

37166.67 

1.6213 

.78 

16172.20 

1.7257 

21927.57 

1.7433 

27429.16 

1.7329 

32628.96 

1.6933 

37208.48 

1.6203 

.79 

16525.38 

1.7-261 

21982.95 

1.7433 

27483.22 

1.7326 

32678.32 

1.6928 

37250.20 

1.6194 

.80 

16578.60 

1.7263 

22038.33 

1.7133 

27537.25 

1.7324 

32727.61 

1.6923 

37291.83 

1.6184 

.81 

16631.85 

1.7266 

22093.71 

1.7131 

27591.25 

1.7321 

32776.84;  1.6917 

37333.37 

1.6175 

.82 

16685.11 

1.7269 

22149.10 

1.7131 

27615.21 

1.7318 

32826.01   1.6911 

37374.82 

1.6166 

.83 

16738,47 

1.727:! 

2220  1.  19 

1.7131 

27699.14 

1.7316 

32875.11   1.6906 

37116.18 

1.6157 

.81 

16791.84 

1.7275 

22259.88 

1.7135 

27753.01 

1.7314 

32024.15 

1.6899 

37457.46 

1.6147 

.85 

16845.21 

1.727!) 

22315.28 

1  .7  135 

27806.91 

1.7311 

32973.12 

1.6894 

37498.65 

1.6137. 

.86 

16898.68 

1.7282 

22370.  CM 

1.7135 

27860.75 

1.7308 

33022.03  1.6888 

37539.74 

1.6128 

.87 

16952.16 

1.7285 

22126.08 

1.7135 

27914.55 

1.7306 

33070.88;  1.6882 

37580.74 

1.6118 

.88 

17005.68 

1.7288 

22481.1s 

1.7135 

27968.32 

1.7303 

33119.66  1.6876 

37621.65 

1.6109 

.89 

17059.23 

1.7290 

22536.8s 

1.7135 

28022.06 

1.7300 

33168.37 

1.6870 

37662:17 

1.6099 

.90 

17112.81 

1.7294 

22592.28 

1.7136 

28075.76 

1.7298 

33217.02 

1.6864 

37703.20 

1.6089 

.91 

17166,43 

1.7297 

226  17.69 

1.7135 

2s  1-29.43 

1.7294 

83265.60]  1.6859 

37743.84 

1.6080 

.92 

1722009 

1.7299 

2270:{.09 

1.7136 

28183.06 

1.7291 

33314.12   1.6852 

37784.39 

1.6069 

.93 

17273.78 

1.7302 

22758.50 

1.7135 

28286.65 

1.7289 

33362.57   1.6847 

37821.81 

.  1.6061 

.91 

17327.51 

17305 

•22-'  13.90 

1.7435 

28290.21 

1.7286 

33410.96 

1.6841 

37865.21 

1  .6050 

.95 

17381.27 

1.7307 

22869.30 

1.7135 

28313.71 

1.7282 

33159.28 

1.6834 

37905,18 

1.6040 

.96 

17  135.06 

1.7310 

22921.70 

1  .7  135 

28397.23 

1.7279 

33507.52 

1.6828 

37945.66 

1.6031 

.97 

17188.89 

1.7313 

22980.10 

1.7434 

28460.68 

1.7276 

33555  70 

1  .6822 

37985.7S 

1.6020 

.98 

17512.75 

1.7315 

23035  19 

1.7131 

28504.09 

1.7273 

33603.81 

1.6816 

38:125.74 

I.  WHO 

.99 

17596.61 

1.7318 

23090.88 

17134 

•28557.17 

1.7270 

33651.86 

1.6811 

38065.6  1 

1.6000 

1.00 

17650.56 

+  1.7322 

23116.27 

+  1.7131 

28610.81 

+  1.7267 

33699.84 

+  1.6801 

38105.45 

+  1.5989 

85 


TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  +  22639  '.2  sin.  x  -f  769".5  sin.  2x  +  36".7  sin.  3*  -f  2".0  sin.  4x  -f  0".l  sin.  5x. 

Period,  27.55455245  days. 


Da 

ys.           1 

0 

1 

1 

1 

3 

1 

» 

1 

4 

Decimals 
of  a  Day. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Bit 

.00 

38105.  i:> 

+  1.5988 

41582.33 

+1.4689 

43962-ss 

•  1.2.->31 

45160.73 

+0.7716 

45164.90 

-0.7679 

.01 

38145.16 

1.5979 

41611.77 

1.1673 

43980.79 

1.2502 

45166.64 

0.7627 

45159.04 

0.7760 

.02 

38184.78 

1.5968 

41641.10 

1.4657 

43!)!»s.5s 

1.217.') 

15172.43 

0.7536 

45153.07 

0.7839 

.03 

38224.30 

1.5958 

41670.32 

1.1(110 

44016.2(i 

1.2112 

45178.10 

0.7443 

15146.99 

0.7917 

.04 

38263.73 

1.5949 

41699.43 

1.4625 

44033.81 

1.2112 

45183.6.') 

0.7348 

45140.80 

0.8000 

.05 

38303.07 

.5937 

41728.  1  1 

1.4608 

44051.21 

1.2385 

45189.08 

0.7259 

45131.19 

0.8082 

.06 

38342.31 

.5927 

41757.33 

1.15!  10 

44068.  :>li 

1.2355 

451!)  1,10 

0.7152 

45128.06 

0.8156 

.07 

38381.46 

.5916 

41786.10 

1.1575 

44085.76 

1.2322 

45199.59 

0.7050 

15121.52 

0.8228 

.08 

::s  120.51 

.5906 

41814.77 

1.4557 

4  1  102.  s.-i 

1.2295 

45204.66 

0.6946 

45114.87 

0.8306 

.09 

38459.47 

.5895 

41843.33 

1.4539 

44119.79 

1.2263 

45209.61 

0.6839 

45108.10 

0.8376 

.10 

38498.33 

1.5884 

41871.77 

1.4523 

44136.63 

1.2232 

45214.44 

0.6739 

45101.22 

0.8445 

.11 

38537.09 

1.5874 

41900.10 

i.i:>o7 

44  15:;.  3;, 

1.2201 

15219.16 

0.6618 

45091.23 

0.8519 

.12 

38575.76 

1.5864 

41928.33 

1.4489 

4416!).!).-) 

1.2169 

45223.75 

0.6503 

45(187.12 

0.8585 

.13 

38614.34 

1.5852 

41956.44 

1.4470 

44186.43 

1.2138 

45228.22 

0.6385 

45079.90 

0.8651 

.14 

38652.82 

1.5811 

41984.43 

1.4454 

44202.79 

1.2106 

45232.57 

0.6274 

45072.57 

0.8722 

.15 

38691.20 

1.5830 

42012.32 

1.4436 

44219.03 

1.2076 

45236.81 

0.6149 

45065.12 

0.8785 

.16 

387-.J9.48 

1.5819 

42040.09 

1.4418 

44235.16 

1.2041 

I.VJtO.93 

0.6010 

45057.56 

0.8848 

.17 

3S767.67 

1.5808 

42067.75 

1.4401 

44251.16 

1.2009 

15214.92 

0.5888 

45019.S9 

0.8915 

.18 

38805.76 

1.5798 

42095.30 

1.4381 

44267.04 

1.1976 

45248.80 

0.5752 

45012.10 

0.8976 

.19 

38843.76 

1.5786 

42122.74 

1.4365 

44282.80 

1.1945 

45252.56 

0.5611 

45031.20 

0.9036 

.20 

38881.66 

1.3775 

42150.06 

1.4318 

41298.45 

1.1909 

45256.20 

0.5465 

45026.19 

0.9096 

.21 

38919.46 

1.5763 

42177.27 

1.1330 

41313.97 

1.1875 

45259.72 

0.5315 

45018.07 

0.9159 

.22 

38957.16 

1.5752 

42204.37 

1.4313 

44329.37 

1.1840 

45263.12 

0.5159 

45009.83 

0.9217 

.23 

38994.76 

1.5741 

42231.36 

1.1292 

41311.65 

1.1810 

45266.40 

0.4997 

45001.48 

0.9274 

.24 

39032.27 

1.5730 

42258.23 

1.4275 

44359.82 

1.1775 

45269.56 

0.4829 

44993.02 

0.9335 

.25 

39069.68 

1.5718 

42284.99 

1.4257 

41374.87 

1.1740 

45272.60 

0.4654 

44984.44 

0.9390 

.26 

39106.99 

1.5706 

42311.64 

1.1237 

113s!).M) 

1.1703 

45275.52 

0.4172 

44975.75 

0.9445 

.27 

39144.20 

1.5695 

42338.17 

1.4219 

44401.  (it) 

1.1668 

45278.32 

0.4298 

44966.95 

0.9199 

.28 

39181.31 

.5683 

42361.5!) 

.4200 

44419.28 

1.1632 

45281.01 

0.4099 

44958.04 

0.9552 

.29 

39218.32 

.5672 

42390.89 

.1181 

44433.84 

1.1599 

45283.58 

0.38.74 

44949.02 

0.9609 

.30 

39255.24 

.5659 

42417.08 

.4163 

44448.29 

1.1562 

45286.02 

0.3674 

44939.S8 

0.9661 

.31 

39292.05 

.5648 

I.'  113.16 

.4145 

44462.62 

1.1526 

4528S.35 

0.3444 

44930.63 

0.9713 

.32 

39328.76 

.5637 

42469.13 

.4125 

1  1  176.S3 

1.1486 

45290.56 

0.3201 

11921  27 

0.  97H3 

.33 

39365.38 

.5624 

42494.98 

.4106 

1  111)0.91 

1.1449 

45292.65 

0.2945 

44911.80 

0.9814 

.34 

39401.89 

1.5613 

42520.72 

.4085 

41501,s7 

1,1415 

45294.62 

0.2672 

44902.22 

0.9863 

.35 

39438.31 

1.5600 

42516.31 

1.4067 

11.  '>  18.72 

1.1377 

45296.47 

0.2405 

44892.53 

0.9917 

.36 

3!)  174.62 

1.5588 

42571.85 

1.4046 

1  1532.45 

1.1338 

45298.21 

0.206s 

1  ls.vj.7-J 

0.9961 

.37 

39510.83 

1.5576 

42597.21 

1.4028 

41516.06 

1.121)7 

45299.82 

0.1761 

11872.81 

1.0013 

.38 

311516.94 

1.5564 

42622.52 

1.4009 

44559.54 

1.1258 

45301.32 

0.1399 

1  1S62.78 

1.0060 

.39 

39q82.95 

1.6552 

I2ii  17.69 

1.3988 

44572.90 

1.1222 

45302.70 

0.1004 

44852.64 

1.0107 

.40 

39618.86 

i..-,:,io 

1267274 

1.3967 

44586.15 

1.1179 

45303.96 

0.0569 

US  12.39 

1.0151 

.11 

39651.67 

1.5528 

42697.67 

1.8949 

44599.27 

1.1142 

4530.-).  10 

O.OON6 

I  1832.03 

1.0199 

43 

39690.  ::s 

1.5515 

12722.49 

1.3929 

44612.28 

1.1099 

45306.12 

9.9590 

Iis-Jl.56 

1.0245 

.43 

39725.99 

1.5502 

127  17.20 

.8906 

44625.16 

1.1059 

15307.03 

9.8921 

14810.98 

1.0290 

.11 

3!»761.49 

1.5190 

42771.79 

:3888 

44637.92 

1.1021 

45307.81 

9.8261 

list  10.29 

1.0334 

.45 

39796.89 

1.5478 

42706.27 

.3867 

4-4650.  57 

1.0976 

15308.48 

9.7404 

44789.49 

1.0382 

.46 

39s32.ll) 

1.5465 

12.vJO.63 

.38  J5 

44663.0'.) 

1.  01)31 

15309.03 

9.633.') 

1  1778.57 

1.0422 

.47 

39867.39 

1.51.VJ 

12844.87 

.3825 

1167.-).  1!) 

1.0895 

15309.16 

9.5051 

1  1767.55 

1.0164 

48 

39902.  Is 

1.513!) 

I2s.i!l.00 

.3806 

41687.7- 

1.0849 

1530!  l.7s 

9.27  ss 

1475643 

1.0507 

.49 

3HD37.47 

1.5126 

I-JS93.02 

.37s  1 

4469!).!)  I 

1.0S06 

15309.97 

8.9031 

44745.18 

1.0554 

.50 

39972.3-i 

+  1.5111 

12!)lti.92 

+  1.3762 

44711.98 

+  1.0763 

i:>3  10.05 

+8.6021 

44733.82 

-1.0592 

86 


TABLE  VI.    ARGUMENT  1. 

Enimiion  =  22655".226  -(-  22639".2  sin.  x  -f  769".5  sin.  2z  -f  36".7  sin.  3z  -f  2".0  sin.  4a?  -f  0".l  sin.  5r. 

Period,  27.55455245  days. 


Days.     10 

11 

13 

13 

14 

Pucinuil. 
of  a  Day 

Equation. 

Lo?.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Lou.  Dif, 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

.50 

39972.36+1.541 

42916.92 

+  1.3762 

44711.9? 

+1.0763 

45310.05 

+8.602 

44733.85 

-1.0592 

.51 

40007.15 

1.5402 

42940.70 

1.3742 

44723.9( 

1.072; 

45310.01 

-9.204 

44722.3f 

1.0633 

.52 

400  41.  SI 

1.5388 

42964.37 

1.3720 

44735.71 

1.067o 

45309.85 

9.4314 

44710.7!) 

1.0675 

.53 

40076.42 

1.5376 

42987.92 

1.3699 

44747.39 

1.0630 

45309.58 

9.602 

44699.11 

1.0716 

.54 

40110.90 

1.5362 

43011.36 

1.3678 

44758.95 

1.0584 

45309.18 

9.7076 

44687.32 

1.0755 

.55 

40145.27 

1.534! 

43034.68 

1.3655 

44770.39 

1.0539 

45308.67!  9.7993 

44675.42 

1.0795 

.56 

40179.5 

1.5336 

43057.88 

1.3634 

44781.71 

1.0492 

45308.04  9.8692 

44663.41 

1.0835 

.57 

40213.70 

1.5323 

43080.97 

1.3612 

44792.91 

1.0445 

45307.30  9.9345 

44651.29 

1.0874 

.58 

40247.7C 

1.5310 

43103.94 

1.3591 

44803.99 

1.0399 

45306.441  9.9912 

44639.0r 

1.0913 

.59 

40281.72 

1.5297 

43126.80 

1.3568 

44814.95 

1.0351 

45305.46 

0.0414 

4  4626.72 

1.0948 

.60 

40315.58 

1.5282 

43149.5  4 

1.3545 

44825.79 

1.0302 

45304.36 

0.0864 

44614.28 

1.0990 

.61 

40349.33 

1.5268 

43172.16 

1.3522 

44836.51 

1.0253 

45303.14 

0.1239 

44601.72 

1.1025 

.62 

40382.97 

1.5255 

43194.66 

1.3500 

44847.11 

1.0203 

45301.81  0.1614 

44589.06 

1.10661 

.63 

40416.51 

1.5241 

43217.05 

1.3479 

4  4857.59 

1.0,149 

45300.36i  0.1959 

44576.28 

1.1100 

.64 

40449.94 

1.5228 

43239.33 

1.3456 

44867.94 

1.0103 

45298.79 

0.2279 

44563.40 

1.1133 

.65 

40483.27 

1.5214 

43261.49 

1.3430 

44878.18 

1.0051 

45297.10 

0.2553 

44550.42 

1.1173 

.66 

40516.49 

1.5201 

43283.52 

1.3408 

44888.30 

0.999C 

45295.30 

0.2833 

44537.32 

1.1206 

.67 

40549.61 

1.5186 

43305.44 

1.3387 

44898.29 

0.9948 

45293.38 

0.3096 

44524.12 

1.1245 

.68 

40582.62 

1.5173 

43327.25 

1.3363 

44908.17 

0.9890 

45291.34 

0.3324 

44510.80 

1.1277 

.69 

40615.53 

1.5159 

43348.94 

1.3338 

44917.92 

0.9841 

45289.19 

0.3560 

44497.38 

1.1309 

.70 

40648.33 

1.5145 

43370.51 

1.3314 

44927.56 

0.9786 

45286.92 

0.3766 

44483.86 

1.1348 

.71 

40681.03 

1.5131 

43391.96 

1.3292 

44937.08 

0.9727 

45284.54 

0.3979 

44470.22 

1.1380 

.72 

40713.62 

1.5116 

43413.30 

1.3267 

1  49  46.47 

0.9675 

45282.041  0.4183 

44456.48 

1.1415 

.73 

40746.  10 

1.5101 

43434.52 

1.3243 

44955.75 

0.9614 

45279.42 

0.4378 

44442.63 

1.1449 

.74 

40778.47 

1.5088 

43455.62 

1.3220 

44964.90 

0.9562 

45276.68 

0.4548 

44428.67 

1.1479 

.75 

40810.74 

1.5073 

43476.61 

1.3196 

44973.94 

0.9499 

45273.83 

0.4728 

44414.61 

1.1513 

.76 

40842.90 

1.5058 

43497.48 

1.3171 

44982.85 

0.9445 

45270.86 

0.4886 

44400.44 

1.1547 

.77 

40874.95 

1.5045 

43518.23 

1.3145 

44991.65 

0.9380 

45267.78!  0.5051 

44386.16 

1.1580 

.78 

40906.90 

1.5030 

43538.86 

1.3120 

45000.32 

0.9325 

45264.58  0.5211 

44371.77 

1.1611 

.79 

40938.74 

1.5015 

43559.37 

1.3096 

45008.88 

0.9258 

45261.26 

0.5353 

44357.28 

1.1644 

.80 

40970,47 

1.5001 

43579.77 

1.3071 

45017.31 

0.9196 

45257.83 

0.5502 

44342.68 

1.1676 

.81 

41002.10 

1.4984 

43600.05 

1.3045 

45025.62 

0.9133 

45254.28 

0.5647 

44327.97 

1.1706 

.82 

41033.61 

1,4970 

43620.21 

1.3018 

45033.81 

0.9069 

45250.6  Ij  0.5775 

44313.16 

1.1738 

.83 

41065.02 

1.4955 

43640.25 

1.2993 

45041.88 

0.9009 

45246.83 

0.5899 

44298.24 

1.1767 

.84 

41096.32 

1.1910 

43660.17 

1.2969 

45049.84 

0.8938 

45242.94 

0.6042 

44283.22 

1.1798 

.85 

41127.51 

1.4925 

43679.98 

1.2943 

45057.67 

0.8871 

45238.92 

0.6160 

44268.09 

1.1826 

.86 

41158.59 

1.4911 

43699.67 

1.2916 

45065.38 

0.8802 

45234.79 

0.6274 

44252.86 

1.1858 

.87 

41189.57 

1.489f> 

43719.24 

1.2889 

45072.97 

0.8733 

45230.55 

0.6395 

44237.52 

1.1889 

.88 

41220.44 

1.4880 

43738.69 

1.2863 

45080.  1  4 

0.8663 

45226.19 

0.6503 

44222.07 

1.1920 

.89 

41251.20 

1.4864 

43758.02 

1.2837 

45087.79 

0.8591 

45221.72 

0.6618 

44206.52 

1.1948 

.90 

41281.85 

1.4849 

43777.24 

1.2810 

45095.02 

0.8525 

45217.13 

0.6730 

44190.86 

1.1976 

.91 

41312.3!) 

1.4833 

43796.34 

1.2784 

45102.14|  0.8151 

45212.42  0.6830 

44475.10 

1.2007 

.92 

41342.82 

1.4817 

43815.32 

1.2756 

45  40!).  14  0.8370 

45207.60  0.6937 

44159.23 

1.2034 

.93 

41373.14 

1.4801 

43834.18 

1.2727 

15116.01  0.8287 

15-202.66  0.7033 

44143.26 

1.2062 

.94 

41403.35 

1.4787 

43852.92 

1.2700 

45122.75 

0.8215 

45197.61! 

0.7126 

44127.18 

1.2089 

.95 

41433.46 

1,4770 

43871.54 

1.2674 

45129.38 

0.8135 

4519-2.15 

0.7226 

44111.00 

1.2119 

.96 

41463.45 

1.4751 

43890.05 

1.2644 

15135.89 

0.8055 

45187.17  0.7324 

44094.71 

1.2146 

.97 

41  193.33 

1.4740 

4390S.  t:j 

1.2617 

45142.28 

0.7973 

45181.77  0.7412 

44078.32 

1.2175 

.98 

41523.11 

1.4722 

43926.70 

1.2589 

45148.55i  0.7889 

45176.'26:  0.7497 

44061.82 

1.2201 

.!)!) 

41552.77 

1.1707 

43944.85 

1.2560 

45151.70  0.7803 

45170.64  0.75S!) 

44045.22 

1.2227 

1.00 

41582.33  +1.4689 

43962.88  +1.2531 

45160.73  +0.7716 

45164.90-0.7679 

44028.52 

-1.2256 

87 

TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  +  22639  '.2  sin.  x  +  769".5  sin.  2x  -f  36".7  sin.  3*  -f  2".0  sin.  4*  -f  0".l  sin.  5*. 

Period,  27.55455245  days. 


Days.              1.7 

16 

17 

IS 

19 

1  '.  .   !!|>:i;  - 

ufa  k'. 

Equation. 

Log.  Dif. 

!'  I'Mlinn. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  mr. 

Equation. 

Log.  Dif. 

.00 

44028.52 

-1.2256 

41855.39 

-1.4235 

38787.01 

-1.5398 

34991.50 

-1.6129 

80664.69 

-1.6575 

.01 

11011.71 

1.2282 

11S28.87 

1.4251 

38752.35 

1.5106 

34950.  11) 

1.6135 

30609.25 

1.6579 

.02 

aew.ao 

1.230!) 

41802.26 

1.1264 

38717.63 

1.5110 

3  11)09.42 

1.6140 

30563.77 

1.6581 

.03 

13!.77.78 

1.2335 

41775.57 

1.4878 

38682.  N3 

1.5425 

3  1868.30 

1.6145 

30518.26 

1.6585 

.04 

43960.66 

1.2360 

41748.79 

1.4292 

38647.96 

1.5-133 

34827.13 

1.6151 

30472.71 

1.6588 

.05 

131!  13.44 

1.2385 

41721.92 

1.4308 

38613.02 

1.5443 

34785.91 

1.6157 

30427.13 

1.6591 

.06 

48996.12 

1.2412 

1161)4.96 

1.1322 

38578.00 

1.5452 

34744.63 

1.6163 

30381.52 

1.6594 

.07 

18908.69 

1.2437 

41667.91 

1.13.% 

38542.91 

1.5159 

84703.80 

1.6168 

30335.N8 

1.6598 

.08 

43891.16 

1.2462 

116*0.77 

1.1351 

38507.76 

1.5-469 

31661.91 

1.6174 

30290.20 

1.6600 

.09 

43873.53 

1.2490 

41613.54 

1.4364 

38472.53 

1.5178 

34620.48 

1.6179 

30244.49 

1.6603 

.10 

43855.79 

1.2514 

1  1  586.23 

1.4378 

38437.23 

t.5486 

34578.99 

1.6184 

30198.75 

1.6607 

.11 

4888736 

1.2541 

41558.83 

1.4393 

38401.85 

1.5495 

34537.45 

1.6189 

30152.97 

1.6610 

.12 

43820.00 

1.2565 

11581.33 

1.4406 

38366.41 

1.5503 

34495.86 

1.6196 

30107.16 

1.6613 

.13 

48801.95     1.2589 

41503.75 

1.4418 

38330.90 

1.5512 

34454.21 

1.6201 

30061.32 

1.6616 

.14 

43783.80 

1.2613 

41476.09 

1.4433 

38295.32 

1.5521 

34412.51 

1.6206 

30015.45 

1.6618 

.15 

43765.55 

1.2637 

41448.34 

1.4446 

38259.66 

1.5531 

34370.76 

1.6212 

29969.55 

1.6621 

.16 

13747.20 

1.2660 

41420.50 

1.4461 

38223.93 

1.5538 

31328.96 

1.6217 

21)1123.62 

1.6625 

.17 

43728.75 

1.2686 

11392.57 

1.1174 

38188.14 

1.5548 

34287.11 

1.6222 

29877.65 

1.6628 

.18 

13710.19 

1.2709 

41864.56 

1.4487 

38152.27 

1.5555 

34245.21 

1.6227 

29831.65 

1.6631 

.19 

43691.53 

1.2732 

41336.46 

1.4501 

38116.34 

1.5563 

34203.26 

1.6232 

29785.62 

1.6634 

.20 

43672.77 

1.2756 

41308.27 

1.4514 

38080.34 

1.5571 

34161.26 

1.6238 

29731  >.56 

1.6637 

51 

43653.91 

1.2779 

41279.99 

1.4527 

38041.27 

1.5581 

34119.20 

1.6243 

21)61)3,17 

1.6639 

.22 

43fi34.9.r> 

1.2801 

41251.63 

1.4541 

38008.12 

1.5588 

31077.10 

1.6848 

29647.35 

1.6642 

53 

43615.8!) 

1.2823 

41  223.  18 

1.4553 

37971.91 

1.5595 

84034.96 

1.625:! 

29601.20 

1.6645 

54 

43596.73 

1.2849 

41194.65 

1.4567 

37935.64 

1.5605 

33992.75 

1.6259 

29555.02 

1.6647 

.25 

13577.46 

1.2872 

41166.08 

1.1581 

37899.29 

1.5613 

33950.49 

1.6263 

29508.81 

1.6650 

.26 

i:i.-)58.09 

1.2894 

41137.32 

1.1593 

37862.87 

1.5622 

38908.19 

1.6268 

29462.57 

1.6653 

.27 

43538.62 

1.2913 

41108.38 

1.4605 

87826.88 

1.5629 

33865.8  1 

1.6274 

29416.30 

1.6656 

.28 

135  19.06 

1.2939 

41079.66 

1.1618 

87789.88 

1.5637 

33823.44 

1.6279 

29370.00 

1.6658 

.29 

•13499.39 

1.2961 

41050.70 

1.4631 

37753.21 

1.5645 

33780.99 

1.6284 

29323.68 

1.6661 

.30 

43479.62 

1.2980 

41021.65 

1.4643 

37716.53 

1.5651 

33738.49 

1.6289 

29277.33 

1.6664 

Al 

48469.76 

1.3001 

409!)2.52 

1.4657 

37679.77 

1.5660 

33695.94 

1.6293 

29230.94 

1.6666 

.32 

4M89.79 

1.3025 

40968.30 

l.ltiii!) 

37642.95 

1.5669 

88658.86 

1.6299 

29184.53 

1.6669 

.33 

43419.72 

1.3017 

40934.00 

1.4682 

37606.06 

1.5677 

33610.71 

1  .6303 

2913N.O!) 

1.6672 

.34 

•3399.55 

1.3067 

40904.61 

1.4693 

37569.10 

1.5684 

33568.02 

1.6308 

29091.62 

1.6675 

JB 

43379.29 

1.3090 

40875.14 

1.4706 

37532.08 

1.6692 

33525.28 

1.6312 

29045.12 

1.6677 

.36 

133.Vi.D2 

1.3111 

40845.59 

1.4719 

37494.99 

l.r.701 

88482.60 

1.6318 

28998.60 

1.6680 

.37 

13338.45 

1.3131 

40815.95 

1.1731 

87457.88 

1.5707 

331311.  6( 

1.6321 

28052.05 

1.6682 

.38 

4*117.89 

1.3152 

10786.23 

1.4742 

87420.61 

1.5715 

88896.79 

1  .6328 

28905.47 

1.6684 

.39 

13297.23 

1.3173 

10756.43 

1.4756 

37383.32 

1.5723 

33353.86 

1  .6332 

28N58.87 

1.6687 

.40 

43276.47 

1.3196 

40726.5  1 

1.1767 

87845.97 

1.5731 

33310.89 

1.6337 

28812.24 

1.6689 

.41 

•13255.60      I.32H 

40896.57 

1.4780 

87806.55 

1.5739 

33267.87 

1.6312 

28765.  .">!) 

1.6691 

.42 

13231.61     1.3232 

(0666.51 

1.4792 

3727  1  .06 

1.5746 

88224.84 

1.6346 

28718.91 

1.6694 

.13 

43213.;')!)      1.32.V> 

40636.87 

1.4803 

3723:!.-)  1 

1.5754 

33181.69 

1.6351 

98673.20 

1.6697 

.44 

I818&48 

1.3273 

40606.lt 

1.4814 

87196.89 

i.:.7(ii 

38188.68 

1.6355 

28625.46 

1.6699 

.45 

13171.  1M 

1.3296 

10675.86 

1.4827 

37158.21 

1.5768 

33095.  33 

1.6360 

28578.70 

1.6700 

.46 

43I49.N2      1.3311 

405  1.V  U 

I.|s3s 

37120.17 

1.577.") 

33052.  ON 

1.6361 

38581.92 

1.6703 

.47 

13I2*.37      1.3332 

10515.00 

1.4850 

87082.67 

1.5783 

88008.79 

1.6369 

28485.  1  1 

1.6706 

.48 

I3106.N3      1.3355 

IOIM.I." 

1.4861 

3701  l>0 

1.5791 

82965.4E 

1.6373 

28488.27 

1.6708 

M 

131  IX").  is      1.3373 

40458.82 

1.4872 

37006.861    1.5798 

.•{21)22.07 

1.637N 

2N391.41 

1.6709 

.50 

13063.11 

-1.3393 

10123.11 

-1.4886 

36968.N6 

-1.5806 

32878.64 

-1.6382 

28344.53 

-1.6713 

TABLE  VI.    ARGUMENT  1. 


Eq nation  =  22355".2-'3  -{-  22639'  .2  sin.  x  -f  769".5  sin.  2x  -{-  36".7  sin.  3x  -f  2".0  sin.  4*  -f  0".l  sin.  5x. 

Period,  27.55455245  days. 


Da 

i-s.      1 

3 

1 

6 

1 

7 

1 

8 

1 

9 

Decimals 
of  a  Day. 

Filiation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

!,.,«.  I)  if. 

Equation. 

Lug.  Dif. 

Equation. 

Log.  Dif. 

.50 

430(53.44 

-1.3393 

40423.11 

—1.4886 

36968.86 

-1.5806 

32878.64 

—1.6382 

28344.53 

-1.6713 

.51 

43041.60 

1.3412 

40392.31 

1.4897 

36930.79 

1.5812 

32835.17 

1.6387 

28297.62 

1.6715 

.52 

43019.66 

1.3430 

4036  1  .43 

1.4909 

36892.66 

1.5819 

32791.65 

1.6391 

28250.69 

1.6718 

.53 

42997.63 

1.3450 

403  0.47 

1.4920 

36854.47 

1.5827 

32748.09 

1.6396 

28203.73 

1.6719 

.54 

42975.50 

1.3470 

40299.43 

1.4931 

36816.22 

1.5834 

32704.48 

1.6400 

28156.75 

1.6721 

.55 

42953.27 

1.3487 

40268.31 

1.4942 

36777.90 

1.5841 

32660.83 

1.6404 

28109.75 

1.6724 

.56 

42930.95 

1.3506 

40237.11 

1.4953 

36739.52 

1.5848 

32617.14 

1.6408 

28062.72 

1.6725 

.57 

42908.53 

1.3526 

40205.83 

1.4963 

36701.08 

1.5856 

32573.41 

1.6413 

28015.67 

1.6727 

.58 

42886.01 

1.3543 

40174.47 

1.4975 

36662.57 

1.5863 

32529.63 

1.6417 

27968.60 

1.6729 

.59 

42863.40 

1.3560 

40143.03 

1.4985 

36624.00 

1.5869 

32485.81 

1.6421 

27921.51 

1.6732 

.60 

42840.70 

1.3581 

40111.51 

1.4997 

36585.37 

1.5876 

32441.95 

1.6426 

27874.39 

1.6734 

.61 

42817.89 

1.3598 

40079.'91 

1.5008 

36546.68 

1.5883 

32398.04 

1.6430 

27827.25 

1.6735 

.62 

42794.99 

1.3615 

40048.23 

1.5019 

36507.93 

1.5889 

32354.09 

1.6434 

27780.09 

1.6738 

.63 

42772.00 

1.3634 

40016.47 

1.5030 

36469.12 

1.5897 

32310.10 

1.6438 

27732.90 

1.6740 

.64 

42748.91 

1.3653 

39984.63 

1.5041 

36430.24 

1.5904 

32266.07 

1.6442 

27685.69 

1.6742 

.65 

42725.72 

1.3670 

39952.71 

1.5051 

36391.30 

1.5911 

32221.99 

1.6446 

27638.46 

1.6744 

.66 

42702.44 

1.3689 

39920.71 

1.5062 

36352.30 

1.5918 

32177.88 

1.6450 

27591.21 

1.6745 

.67 

42679.06 

1.3705 

39888.63 

1.5073 

36313.24 

1.5924 

32133.72 

1.6454 

27543.94 

1.6747 

.68 

42655.59 

1.3722 

39856.47 

1.5083 

36274.12 

1.5931 

32089.52 

1.6458 

27496.65 

1.6750 

.69 

42632.03 

1.3740 

39824.24 

1.5093 

36234.94 

1.5937 

32045.28 

1.6462 

27449.34 

1.6752 

.70 

42608.37 

1.3758 

39791.93 

1.5104 

36195.70 

1.5944 

32001.00 

1.6466 

27402.01 

1.6754 

.71 

42584.61 

1.3775 

39759.54 

1.5114 

36156.40 

1.5951 

31956.68 

1.6470 

27354.65 

1.6756 

.72 

42560.76 

1.3791 

39727.07 

1.5126 

36117.04 

1.5956 

31912.32 

1.6474 

27307.27 

1.6757 

.73 

42536.82 

1.3807 

39694.52 

1.5135 

36077.63 

1.5964 

31867.92 

1.6478 

27259.88 

1.6759 

.74 

42512.79 

1.3825 

39661.90 

1.5145 

36038.15 

1.5970 

31823.48 

1.6482 

27212,47 

1.6761 

.75 

42488.66 

1.3843 

39629.20 

1.5156 

35998.61 

1.5976 

31779.00 

1.6486 

27165.04 

1.6763 

.76 

42464.43 

1.3860 

39596.42 

1.5167 

35959.02 

1.5984 

31734.48 

1.6490 

27117.58 

1.6764 

.77 

42440.11 

1.3S7G 

39563.56 

1.5176 

35919.36 

1.5990 

31689.92 

1.6493 

27070.11 

1.6766 

.78 

42415.70 

1.3892 

39530.63 

.5186 

35879.64 

1.5996 

31645.32 

1.6497 

27022.62 

1.6768 

.79 

42391.20 

1.3908 

39497.62 

.5197 

35839.87 

1.6002 

31600.68 

1.6500 

26975.11 

1.6770 

.80 

42366.61 

1.3925 

39464.53 

.5206 

35800.04 

1.6009 

31556.01 

1.6504 

26927.58 

1.6771 

.81 

42341.92 

1.3943 

3!  143  1.37 

.5216 

35760.15 

1.6015 

31511.30 

1.6508 

26880.04 

1.6773 

.82 

42317.13 

1.3957 

39398.13 

.5225 

35720.20 

1.6021 

31466.55 

1.6512 

26832.47 

1.6775 

.83 

42292.26 

1.3974 

39364.82 

1.5236 

35680.20 

1.6027 

31421.76 

1.6516 

26784.89 

1.6776 

.84 

42267.29 

1.3989 

39331.43 

1.5246 

35640.14 

1.6033 

31376.93 

1.6520 

26737.29 

1.6777 

.85 

42242.23 

1,4006 

39297.96 

1.5255 

35600.02 

1.6040 

31332.06 

1.6522 

26689.68 

1.6780 

.86 

42217.08 

1.4021 

30261.42 

1.5264 

35559.84 

1.6045 

31287.16 

1.6526 

26642.04 

1.6781 

.  .87 

42191.84 

1.4037 

39230.81 

1.5275 

35519.61 

1.6052 

31242.22 

1.6530 

26594.39 

1.6782 

.88 

42166.51 

1.4053 

39197.12 

1.5285 

35479.32 

1.6057 

31197.24 

1.6534 

26546.72 

1.6783 

.89 

42141.08 

1.4068 

39163.35 

1.5294 

35438.98 

1.6064 

31152.22 

1.6537 

26499.01 

1.6785 

.90 

42115.56 

1.4084 

39129.51 

1.5305 

35398.58 

1.6070 

31107.17 

1.6511 

26451.34 

1.6787 

.91 

42089.95 

1.4099 

39095.59 

1.5314 

35358.12 

1.6077 

31062.08 

1.6544 

26403.62 

1.6789 

.92 

42064.25 

1.4114 

39061.60 

1.5324 

35317.60 

1.6083 

31016.96 

1.6548 

26355.88 

].(;?;;() 

.93 

42038.46 

1,4130 

39027.53 

1.5333 

35277.03 

1.6087 

30971.80 

1.6551 

26308.13 

1.6791 

.94 

42012.58 

1.4145 

38993.39 

1.5341 

35236.41 

1.6094 

30926.60 

1.6554 

26260.37 

1.6792 

.95 

41986.61 

1.4160 

38959.18 

1.5351 

35195.73 

1.6100 

30881.37 

1.6558 

26212.59 

1.6794 

.96 

41960.55 

1.4176 

3*924.89 

1.5361 

35154.99 

1.6106 

30836.10 

1.6561 

26164.79 

1.6795 

.97 

41934.39 

1,4191 

38890.53 

1.5370 

35114.20 

1.6112 

30790.80 

1.6565 

26116.98 

1.6796 

.98 

41908.14 

1.4205 

38856.09 

1.5379 

35073.35 

1.6117 

30745,46 

1.6568 

26069.16 

1.6798 

.99 

41881.81 

1.4219 

38821.59 

1.5388 

35032.45 

1.6122 

30700.09 

1.6571 

26021.32 

1.6799 

1.00 

41855.39 

-1.4235 

38787.01 

-1.5398 

34991.50 

-1.6129 

30654.69 

-1.6575 

25973.47 

-1.6800 

89 


TABLE  VI.    ARGUMENT  1. 


Equation  =  22655".226  -f  22639".2  sin.  x  -f  769".5  sin.  2*  +  36".7  sin.  3z  +  2'  .0  sin.  4x  -f  0".l  sin. 

Period,  27.55455245  days. 


Days.     3*5 

31 

33 

33 

34 

I)e«  inuls 
of  a  Day. 

Equation. 

Log.  Pit 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

.00 

25973.47 

-1.6800 

21150.89 

-1.6834 

16392.29 

-1.6682 

11901.99 

-1.6321 

7879".71 

-1.5705 

.01 

25925.60 

1.6801 

21102.64 

1.6834 

16345.72 

1.667!) 

11859.12 

1.6316 

7842.51 

1.5698 

.02 

25877.72 

1.6803 

21054.40 

1.6833 

16299.18 

1.6675 

11816.30 

1.6312 

7805.37 

1.5690 

.03 

25829.82 

1.6804 

21006.17 

1.6832 

16252.67 

1.6673 

1  1773.53 

1.6307 

7768.30 

1.5682 

.04 

25781.91 

1.6805 

20957.95 

1.6832 

16206.18 

1.6671 

11730.80 

1.6301 

7731.30 

1.5676 

.05 

25733.99 

1.6806 

20909.73 

1.6832 

16159.72 

1.6669 

11688.13 

1.6297 

7694.36 

1.5666 

.06 

25686.06 

1.6807 

20861.51 

1.6830 

16113.28 

1.6666 

11646.50 

1.6292 

7657.49 

1.5659 

.07 

25638.11 

1.6808 

20813.31 

1.6829 

16066.87 

1.6663 

11602.92 

1.6287 

7620.68 

1.5652 

.08 

25590.15 

1.6810 

20765.12 

1.6828 

16020.49 

1.6660 

11560.39 

1.6283 

7583.il  1 

1.5643 

.09 

25542.18 

1.6812 

20716.94 

1.6828 

15974.15 

1.6658 

11517.90 

1.6277 

7547.27 

1.5635 

.10 

25494.19 

1.6813 

20668.76 

1.6827 

15927.83 

1.6654 

11475.47 

1.6271 

7510.67 

1.5627 

.11 

25446.19 

1.6813 

20620.59 

1.6826 

15881.54 

1.6652 

11433.09 

1.6266 

7474.14 

1.5619 

.12 

25398.19 

1.6814 

20572.43 

1.6825 

15835.28 

1.6650 

11390.76 

1.6261 

7437.67 

1.5611 

.13 

25350.17 

1.6815 

20524.28 

1.6825 

15789.04 

1.6646 

11348.48 

1.6257 

7401.27 

1.5602 

.14 

25302.14 

1.6815 

20476.14 

1.6825 

15742.84 

1.6644 

11306.24 

1.6252 

7364.95 

1.5594 

.15 

25254.09 

1.6816 

20428.00 

1.6824 

15696.67 

1.6641 

11264.05 

1.6247 

7328.69 

1.5586 

.16 

25206.04 

1.6817 

20379.87 

1.6823 

15650.53 

1.6638 

11221.91 

1.6241 

7292.50 

1.5579 

.17 

25157.97 

1.6818 

20331.75 

1.6821 

15604.42 

1.6635 

11179.82 

1.6235 

7256.37 

1.5570 

.18 

25109.90 

1.6819 

20283.65 

1.6820 

15558.34 

1.6633 

11137.79 

1.6231 

7220.31 

1.5561 

.19 

25061.81 

1.6820 

20235.56 

1.6819 

15512.29 

1.6630 

1  1095.80 

1.6226 

7184.33 

1.5552 

.20 

25013.71 

1.6822 

20187.48 

1.6819 

15466.27 

1.6627 

11053.86 

1.6221 

7148.42 

1.5545 

.21 

24965.60 

1.6822 

20139.40 

1.6817 

15120.28 

1.6624 

11011.97 

1.6216 

7112.57 

1.5537 

.22 

24917.48 

1.6823 

20091.34 

1.6816 

15374.32 

1.6620 

10970.13 

1.6210 

7076.79 

1.5628 

.23 

24869.36 

1.6823 

20013.29 

1.6816 

15328.40 

1.6618 

10928.34 

1.6204 

7041.08 

1.5518 

.24 

24821.22 

1.6824 

19995.25 

1.6815 

15282.51 

1.6615 

10886.61 

1.6199 

7005.45 

1.5509 

.25 

24773.07 

1.6825 

19947.22 

1.6814 

15236.65 

1.6612 

10844.93 

1.6194 

6969.89 

1.5502 

.26 

24724.92 

1.6825 

19899.20 

1.6813 

15190.82 

1.6609 

10803.30 

1.6188 

6934.39 

1.5492 

.27 

24676.75 

1.6826 

19851.19 

1.6812 

15145.02 

1.6606 

10761.72 

1.6183 

6898.97 

1.5484 

.28 

24628.58 

1.6827 

19803.19 

1.6811 

15099.25 

1.6602 

10720.19 

1.6178 

6863.62 

1.5475 

.29 

24580.40 

1.6828 

19755.21 

1.6810 

15053.52 

U6598 

10678.71 

1.6173 

6828  34 

1.5466 

.30 

24532.21 

1.6829 

19707.24 

1.6809 

15007.82 

1.6597 

10637.28 

1.6167 

6793.13 

1.5458 

.31 

24484.02 

1.6830 

19659.28 

1.6807 

14962.15 

1.6593 

10595.91 

1.6162 

6757.99 

1.5450 

.32 

24435.81 

1.6831 

19611.31 

1.6806 

14916.52 

1.6591 

10554.59 

1.6155 

6722.92 

1.5441 

.33 

24387.60 

1.6832 

19563.41 

1.6805 

14870.91 

1.6587 

10513.33 

1.6150 

6687.92 

1.5431 

.34 

24339.38 

1.6833 

19515.49 

1.6803 

14825.34 

1.6583 

10472.12 

1.6144 

6653.00 

1.5422 

.35 

24291.15 

1.6833 

19467.59 

1.6802 

14779.81 

1.6580 

10130.96 

1.6139 

6618.15 

1.5413 

.30 

24242.92 

1.6834 

19419.70 

1.6801 

14734.31 

1.6578 

10389.85 

1.6133 

6583.37 

1.5404 

.37 

24194.68 

1.6835 

19371.82 

1.6801 

14688.84 

1.6575 

10318.80 

1.6127 

6548.66 

1.5395 

.38 

24146.43 

1.6835 

19838.06 

1.6799 

14643.40 

1.6570 

10307.81 

1.6121 

6514.03 

1.5386 

.39, 

24098.18 

1.6836 

19276.10 

1.6797 

14598.01 

1.6568 

10266.87 

1.6117 

6479.47 

1.5377 

.40 

24049.92 

1.6836 

19228.27 

1.6796 

14552.64 

1.6564 

10225.98 

1.6110 

6444.98 

1.5367 

.41 

24001.65 

1.6836 

19180.45 

1.6795 

14507.31 

1.6560 

10185.15 

1.6105 

6410.57 

1  .5358 

.42 

23953.38 

1.6837 

19132.64 

1.6793 

14462.02 

1.6557 

10144.37 

1.6098 

6376.23 

1  .53  18 

.43 

23905.10 

1.6837 

19084.85 

1.6791 

14416.76 

1.6553 

10103.65 

1.6093 

6311.97 

1  .5339 

.44 

23856.82 

1.6838 

19037.08 

1.6790 

14371.54 

1.6551 

10062.98 

1.6086 

6807.78 

1.5331 

.15 

23.s08.53 

1.6838 

18989.32 

1.6789 

14326.35 

1.6547 

10022.37 

1.6080 

6273.66 

1.5321 

.Hi 

23760.2  »   1.6839 

18941.57 

1.6788 

14281.20 

1.6543 

9981.82 

1.6075 

6389.61 

1.5311 

.47 

23711.9-1   I.(i.s3!l 

lsy»3.Nl  1.6786 

14236.08 

1.6540 

91)11.32 

1.6068 

6205.61 

1  .5302 

.Is 

23663.64  UM<> 

l^.sjd.13   1.6784 

14191.00 

1.6536 

9900.88 

1.6063 

6171.74 

1.5292 

.49 

23615.31   l.dsio 

1H7!IS.I1   1.6783 

14145.96   1.6532 

0860*49 

1.6056 

6137.92 

1.5281 

.50 

23.J67.03-  1.6841 

1M750.76 

-1.6781 

14100.96-1.6529 

9S20.16 

-1.6051 

6104.18 

-1.5271 

'JO 


TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  -f  22639".2  sin.  x  +  769".5  sin.  2x  +  36".7  sin.  3x  -f-  2".0  sin.  4c  -f  0".l  sin. 

Period,  27.55453245  days. 


Days.     2O 

21 

23 

23 

24 

Decimate 

of  a  Da) 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation 

Log  Dif 

Equaiion. 

Log.  Dif. 

.50 

23567.03 

-1.6841 

18750.76 

-1.6781 

14100.96 

-1.6529 

9820.16 

-1.6051 

6104.18 

-1.5271 

.51 

23518.71 

1.6841 

18703.10 

1.6781 

14055.99 

1.6525 

9779.88 

1.6043 

6070.52 

1.5263 

.52 

23470.40 

1.6841 

18655.45 

1.6779 

14011.06 

1.6522 

9739.67 

1  .6037 

6036.92 

1.5254 

.53 

23422.0* 

.6842 

18607.82 

1.6777 

13966.17 

1.6519 

9699.51 

1.6031 

6003.39 

1.5244 

.51 

23373.75 

.6842 

18560.21 

1.6775 

13921.31 

1.6515 

9659.41 

1.6026 

5969.94 

1.5233 

.55 

23325.43 

.6842 

18512.62 

1.6774 

13876.49 

1.6511 

9619.36 

1.6020 

5936.57 

1.5223 

.50 

23277.10 

.6842 

18465.04 

1.6772 

13831.71 

1.6507 

9579.37 

1.6013 

5903.28 

1.5214 

.57 

23228.76 

.6842 

18417.48 

1.6771 

13786.97 

1.6504 

9539.44 

1.6007 

5870.06 

1.5203 

.58 

23180.43 

1.6843 

18369.94 

1.6769 

13742.26 

1.6499 

9499.57 

1.6000 

5836.92 

1.5194 

.59 

23132.09 

1.6843 

18322.42 

1.6767 

13697.60 

1.6495 

9459.76 

1.5995 

5803.85 

1.5184 

.60 

23083.75 

1.6843 

18274.92 

1.6765 

13652.98 

1.6493 

9420.00 

1.5988 

5770.86 

1.5173 

.61 

23035.41 

1.6843 

18227.43 

1.6764 

13608.39 

1.6489 

9380.30 

1.5981 

5737.95 

1.5164 

.62 

22987.07 

1.6843 

18179.96 

1.6762 

13563.84 

1.6485 

9340.66 

1.5975 

5705.11 

15153 

.63 

22938.73 

1.6843 

18132.52 

1.6761 

13519.33 

1.6481 

9801.08 

1.5968 

5672.35 

1.5143 

.64 

22890.38 

1.6843 

18085.09 

1.6759 

13474.86 

1.6476 

9261.56 

1.5962 

5639.67 

1.5132 

.65 

22842.04 

1.6843 

18037.68 

1.6757 

13430*.44 

.6473 

9222.10 

1.5955 

5607.07 

1.5122 

.66 

22793.69 

1.6843 

17990.29 

1.6754 

13386.05 

.6469 

9182.70 

1.5949 

5574.55 

15112 

.67 

22745.34 

1.6843 

17942.93 

1.6754 

13341.70 

.6465 

9143.35 

1.5943 

5542.10 

1.5101 

.68 

22696.99 

1.6843 

17895.58 

1.6752 

13297.39 

.6461 

9104.06 

1.5935 

5509.73 

1.5091 

.69 

22648.64 

1.6843 

17848.25 

1.6750 

13253.12 

.6457 

9064.84 

1.5929 

5477.44 

1.5080 

.70 

22600.30 

1.6843 

17800.94 

1.6747 

13208.89 

.6452 

9025.68 

1.5923 

5445.23 

1.5070 

.71 

22551.95 

1.6843 

17753.66 

1.6745 

13164.71 

.6448 

8986.57 

1.5916 

5413.09 

1.5059 

.72 

22503.60 

1.6843 

17706.39 

1.6743 

13120.57 

1.6444 

8947.52 

1.5909 

5381.03 

1.5049 

.73 

22455.26 

1.6843 

17659.15 

1.6742 

13076.47 

1.6441 

8908.53 

1.5901 

5349.05 

1.5038 

.74 

22406.91 

1.6843 

17611.92 

1.6739 

13032.41 

1.6437 

8869.61 

1.5893 

5317.15 

1.5025 

.75 

22358.57 

1.6843 

17564.72 

1.6737 

12988.39 

1.6433 

8830.77 

1.5887 

5285.34 

1.5017 

.76 

22310.22 

1.6843 

17517.54 

1.6736 

12944.41 

1.6429 

8791.98 

1.5882 

5253.60 

1.5005 

.77 

22261.88 

1.6843 

17470.38 

16733 

12900.47 

1.6424 

8753.24 

1.5875 

5221.94 

1.4994 

.78 

22213.54 

1.6843 

17123.25 

1.6732 

12856.58 

1.6420 

8714.56 

1.5867 

5190.36 

1.4983 

.79 

22165.20 

1.6843 

17376.13 

1.6729 

12812.73 

1.6416 

8675.95 

1.5860 

5158.86 

1.4973 

.80 

22116.86 

1.6843 

17329.04 

1.6726 

12768.92 

1.6412 

8637.40 

1.5853 

5127.44 

1.4961 

.81 

22068.52 

1.6842 

17281.98 

1.0726 

12725.15 

1.6407 

8598.91 

1.5846 

5096.10 

1.4950 

.82 

22020.19 

1.6842 

17234.93 

1  6723 

12681.43 

1.6403 

8560.48 

1.5839 

5064.84 

1.4939 

.83 

21971.86 

1.6842 

17187.91 

1.6721 

12637.75 

1.6399 

8522.12 

1.5832 

5033.66 

1.4926 

.84 

21923.53 

1.6841 

17140.91 

1.6719 

12594.11 

1.6394 

8483.82 

1.5826 

5002.57 

1.4917 

.85 

21875.21 

1.6841 

17093.94 

1.6717 

12550.52 

1.6390 

8445.58 

1.5817 

4971.55 

1.4906 

.86 

21826.89 

1.6841 

17046.99 

1.6715 

12506.97 

1.6386 

8407.41 

1.5810 

4940.61 

1.4895 

.87 

21778.57 

1.6840 

17000.06 

1.6712 

12463.46 

1.6381 

8369.30 

1.5804 

4909.75 

1.4881 

.88 

21730.27 

1.6840 

16953.16 

1.6709 

12  120.00 

1.6376 

8331.25 

1.5795 

4878.98 

1.4870 

.89 

21681.97 

1.6840 

16906.28 

1.6707 

12376.59 

1.6372 

8293.27 

1.5788 

4848.29 

1.4857 

.90 

21633.66 

1.6839 

16859.43 

1.6705 

12333.22 

1.6368 

8255.35 

1.5782 

4817.69 

1.4847 

.91 

21585.36 

1.6839 

16812.60 

1.6703 

12289.89 

1.6364 

8217.49 

1.5773 

4787.16 

1.4836 

.92 

21537.06 

1.6839 

16765.79 

1.6700 

12246.60 

1.6359 

8179.70 

1.5765 

4756.71 

1.4823 

.93 

21488.77 

1.6838 

16719.01 

1.6698 

12203.36 

1.6351 

8141.98 

1.5759 

4726.35 

1.4811 

.94 

21440.49 

1.6838 

16672.26 

1.6695 

12160.17 

1.6349 

8104.32 

1.5752 

4696.07 

14800 

.95 

21392.21 

1.6837 

16625.54 

.6693 

12117.03 

1.6345 

8066.72 

1.5743 

4665.87 

1.4787 

.96 

21343.93 

1.6837 

16578.84 

.6691 

12073.93 

1.6341 

8029.19 

1.5737 

4635.76 

1.4775 

.97 

21295.66 

1.6836 

16532.16 

.6689 

12030.87 

1.6335 

7991.72 

1.5729 

4605.73 

1.4764 

.98 

21247.40 

1.6835 

16485.51 

.6686 

1  1987.87 

1.6331 

7954.32 

1.5721 

4575.78 

1.4752 

.99 

21199.14 

1.6834 

16438.89 

.6684 

11944.91 

1.6327 

7916.98 

1.5713 

4545.91 

1.4741 

1.00 

21150.89 

-1.6834 

16392.29 

—  .6682 

11901.99 

-1.6321 

7879.71 

-1.5705 

4516.12 

-1.4728 

91 


TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  -f  22639  '.2  sin.  x  -f  769".5  sin.  2x  -j-  36".7  sin.  3x  -f  2".0  sin.  4a>  -f-  0".l  sin.  5*. 

Period,  27.55455245  days. 


Days.         25 

96 

ar 

Decimals 
of  a  Day. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Los.  Dif. 

.00 

4516.12 

-1.4728 

1986.96 

-1.3126 

444.93 

-0.9996 

.01 

4486.42 

1.4716 

1966.12 

1.3104 

431.!)  t 

0.9948 

.02 

4456.80 

1.4702 

1945.98 

1.3083 

425.06 

0.9903 

.03 

4427.27 

1.4690 

1925.64 

1.3062 

415.28 

0.985  1 

.04 

4397.82 

1.4678 

1905.40 

1.3038 

405.61 

0.9800 

.05 

4368.46 

1.4666 

1885.27 

1.3018 

396.06 

0.9750 

.06 

4339.18 

1.4652 

1805.23 

1.2998 

886.82 

0.9699 

.07 

4309.99 

1.4640 

1845.29 

1.2976 

377.29 

0.9647 

.08 

4280.88 

1.4627 

1825.45 

1.2954 

368.07 

0.9590 

.09 

4251.86 

1.4615 

1805.71 

1.2932 

358.97 

0.9543 

.10 

4222.92 

1.4602 

1786.07 

1.2909 

349.97 

0.9-18-1 

.11 

4194.07 

1.4590 

1766.53 

1.2887 

341.09 

0.9430 

.12 

4165.30 

1.4576 

1747.09 

1.2865 

332.32 

0.9370 

.13 

4136.62 

1.4562 

1727.75 

1.2842 

323.67 

0.9320 

.14 

4108.03 

1.4549 

1708.51 

1.2819 

315.12 

0.9258 

.15 

4079.52 

1.4536 

1689.37 

1.2797 

306.69 

0.9201 

.16 

4051.10 

1.4524 

1670.33 

1.2772 

298.37 

0.9138 

.17 

4022.76 

1.4510 

1651.40 

1.2749 

290.17 

0.9085 

.18 

3994.51 

1.4498 

1632.57 

1.2725 

282.07 

0.9020 

.19 

3966.34 

1.4484 

1613.84 

1.2702 

274.09 

0.8960 

.20 

3938.26 

1.4470 

1595.21 

1.2679 

266.22 

0.8899 

.21 

3910.27 

1.4456 

1576.68 

1.2655 

258.46 

0.8831 

.22 

3882.36 

1.4444 

1558.25 

1.2630 

250.82 

0.8768 

.23 

3854.54 

1.4428 

1539.93 

1.2606 

243.29 

0.8698 

.24 

3826.82 

1.4415 

1521.71 

1.2582 

235.88 

0.8639 

.25 

3799.18 

1.4402 

1503.59 

1.2558 

228.57 

0.8567 

.26 

3771.62 

1.4389 

1485.57 

1.2534 

221.38 

0.8494 

.27 

37-4-4.15 

1.4373 

1467.65 

1.2506 

214.31 

0.8-126 

.28 

3716.78 

1.4360 

1449.84 

1.2482 

207.35 

0.8357 

.29 

3689.49 

1.4346 

1432.13 

1.2457 

200.50 

0.8287 

.30 

3662.29 

1.4332 

1414.52 

1.2430 

193.76 

0.8209 

.31 

3635.18 

1.4319 

1397.02 

1.2405 

187.14 

0.8136 

.32 

3608.15 

1.4305 

1379.62 

1.2380 

180.63 

0.8055 

.33 

3581.21 

1.4289 

1362.32 

1.2355 

174.24 

0.7980 

.34 

3554.36 

1.4273 

1345.12 

1.2327 

167.96 

0.7903 

.35 

3527.61 

1.4260 

1328.03 

1.2302 

161.79 

0.7818 

.36 

3500.94 

1.4345 

1811.04 

1.2273 

155.74 

0.7738 

.37 

3474.36 

L4281 

1294.16 

1.2248 

149.80 

0.7649 

.38 

3447.87 

1.4216 

1277.38 

1.2222 

143.98 

0.7566 

.39 

3421.47 

1.4202 

1260.70 

1.2193 

138.27 

0.7474 

.40 

3395.16 

1.4185 

124418 

1.2166 

132.68 

0.7388 

.41 

3368.94 

1.4171 

1227.66 

1.2138 

127.20 

0.7292 

.42 

3342.81 

1.4157 

1211.30 

1.2111 

121.84 

0.7202 

.43 

3316.77 

1.4142 

1195.04 

1.2081 

116.59 

0.7110 

.44 

3290.82 

1.4125 

1178.89 

1.2054 

111.45 

0.7007 

.45 

3264.97 

1.4111 

1162.84 

1.2028 

106.43 

0.6902 

.46 

3239.20 

1.4095 

1146.89 

1.1998 

101.53 

0.6803 

.47 

3213.52 

1.4079 

1131.05 

1.1967 

96.74 

0.6702 

.48 

3187.94 

1,4063 

1115.32 

1.1989 

92.06 

0.6590 

.49 

3162.45 

1.4048 

1099.69 

1.1909 

87.50 

0.6474 

.50 

3137.05 

-1.4038 

1084.17 

-1.1881 

83.06 

-0.6355 

92 


TABLE  VI.    ARGUMENT  1. 

Equation  =  22655".226  +  22639".2  sin.  x  +  769".5  sin.  2r  +  36".7  sin.  Sr  +  2".0  sin.  4*  -f  0".l  sin.  5x. 

Period,  27.55455245  days. 


Day 

s.      a 

B 

a 

6 

a 

7 

Decimals 
ot  a  Day. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

Equation. 

Log.  Dif. 

.50 

3137.05 

—1.4033 

1084.17 

-1.1881 

83.06 

-0.6355 

.51 

3111.74 

1.4017 

1068.75 

1.1850 

78.74 

0.6243 

.52 

3086.52 

1.4002 

1053.44 

1.1821 

74.53 

0.6128 

.53 

3061.3!) 

1.3984 

1038.23 

1.1790 

70.43 

0.5999 

.54 

3036.36 

1.3969 

1023.13 

1.1759 

66.45 

0.5877 

.55 

3011.42 

1.3954 

1008.14 

1.1730 

62.58 

0.5740 

.56 

2986.57 

1.3938 

993.25 

1.1697 

58.83 

0.5599 

.57 

2961.81 

1.3920 

978.47 

1.1668 

55.20 

0.5465 

.58 

2937.15 

1.3904 

963.79 

1.1635 

51.68 

0.5315 

.59 

2912.58 

1.3888 

949.22 

1.1602 

48.28 

0.5159 

.60 

2888.10 

1.3872 

934.76 

1.1568 

45.00 

0.5011 

.61 

2863.71 

1.3854 

920.41 

1.1538 

41.83 

0.4843 

.62 

2839.42 

1.3838 

906.16 

1.1507 

38.78 

0.4683 

.63 

2815.22 

1.3820 

892.01 

1.1473 

35.84 

0.4502 

.64 

2791.12 

1.3804 

877.97 

1.1436 

33.02 

0.4314 

.65 

2767.11 

1.3788 

864.05 

1.1405 

30.32 

0.4133 

.66 

2743.19 

1.3770 

850.23 

1.1373 

27.73 

0.3927 

.67 

2719.37 

1.3753 

836.51 

1.1335 

25.26 

0.3711 

.68 

2695.64 

1.3735 

822.91 

1.1303 

22.91 

0.3502 

.69 

2672.01 

1.3718 

809.41 

1.1268 

20.67 

0.3263 

.70 

2648.47 

1.3701 

796.02 

1.1232 

18.55 

0.3032 

.71 

2625.02 

1.3683 

782.74 

1.1199 

16.54 

0.2765 

.72 

2601.67 

1.3666 

769.56 

.1162 

14.65 

0.2480 

.73 

2578.41 

1.3647 

756.49 

.1127 

12.88 

0.2175 

1 

.74 

2555.25 

1.3630 

743.53 

.1089 

11.23 

0.1847 

.75 

2532.18 

1.3612 

730.68 

.1052 

9.70 

0.1523 

.76 

2509.21 

1.3593 

717.94 

.1014 

8.28 

0.1139 

.77 

2486.34 

1.3575 

705.31 

1.0976 

6.98 

0.0719 

.78 

2463.56 

1.3556 

692.79 

1.0941 

5.80 

0.0294 

.79 

2440.88 

1.3537 

680.37 

1.0902 

4.73 

9.9777 

.80 

2418.30 

1.3519 

668.06 

1.0864 

3.78 

9.9191 

.81 

2395.81 

1.3502 

655.86 

1.0824 

2.95 

9.8573 

.82 

2373.41 

1.3483 

643.77 

1.0785 

2.23 

9.7782 

.83 

2351.11 

1.3464 

631.79 

1.0745 

1.63 

9.6812 

.84 

2328.91 

1.3444 

619.92 

1.0705 

1.15 

9.5563 

.85 

2306.81 

1.3426 

608.16 

1.0664 

0.79 

9.3802 

.86 

2284.80 

1.3406 

596.51 

1.0626 

0.55 

9.1139 

.87 

2262.89 

1.3387 

584.96 

1.0580 

0.42 

-8.0000 

.88 

2241.08 

1.3367 

573.53 

1.0539 

0.41 

+9.0414 

.89 

2219.37 

1.3349 

562.21 

1.0496 

0.52 

9.3617 

.90 

2197.75 

1.3328 

551.00 

1.0457 

0.75 

9.5441 

.91 

2176.23 

1.3308 

539.89 

1.0411 

1.10 

9.6721 

.92 

2154.81 

1.3290 

528.90 

1.0367 

1.57 

9.7634 

.93 

2133.48 

1.3269 

518.02 

1.0323 

2.15 

9.8451 

.94 

2112.25 

1.3249 

507.25 

1.0282 

2.85 

9.9138 

.95 

2091.12 

1.3228 

496.58 

1.0233 

3.67 

9.9731 

.96 

2070.09 

1.3207 

486.03 

1.0187 

4.61 

0.0253 

.97 

2049.16 

1.3187 

475.59 

1.0140 

5.67 

0.0682 

.98 

2028.33 

1.3166 

465.26 

1.0094 

6.84 

0.1106 

.99 

2007.60 

1.3147 

455.04 

1.0047 

8.13 

0.1492 

1.00 

1986.96 

—1.3126 

444.93 

-0.9996 

9.54 

+0.1818 

93 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400  -f  4586".9  sin.  (2t  —  x)  -+-  31".2  sin.  (4/  —  2jr). 
Period,  31.81193574  days. 


Days.             O 

1 

9 

3 

4 

IV,-  111:1 

of  a  Day. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Bif. 

.00 

2.45 

—.28 

62.81 

+1.51 

3<><).3( 

+3.25 

7()7.0( 

+4.88 

1267.93 

+6.32 

.01 

2.17 

.27 

64.32 

1.52 

303.61 

tan 

711.94 

4.89 

1274.2E 

6.33 

.02 

1.90 

.25 

65.84 

1.54 

306.88 

3.28 

716.8: 

4.91 

1280.58 

6.35 

.03 

1.65 

.23 

67.38 

1.56 

310.16 

3.30 

721.74 

4.92 

128(>.»: 

(i.3(i 

.04 

1.42 

.21 

68.94 

1.58 

313.46 

3.32 

726.66 

4.94 

1293.2! 

6.37 

.05 

1.21 

.19 

70.52 

1.59 

316.78 

3.33 

731.60 

4.95 

1299.6C 

6.38 

.06 

1.02 

.17 

72.11 

1.62 

320.11 

3.35 

736.5f 

4.97 

1806.04 

6.40 

.07 

0.85 

.16 

73.73 

1.63 

323.46 

8J7 

741.52 

4.98 

1312.4^4 

(i.  J-2 

.08 

0.69 

.14 

75.36 

1.65 

326.83 

3.38 

746.50 

5.00 

1318.8C 

6.42 

.09 

0.55 

.12 

77.01 

1.66 

330.21 

3.40 

751.50 

5.02 

1325.28 

6.44 

.10 

0.43 

.10 

78.67 

1.68 

333.61 

3.42 

756.5-2 

5.03 

1331.72 

6.45 

.11 

0.33 

.09 

80.35 

1.70 

337.03 

3.44 

761.55 

5.05 

1338.17 

6.46 

.12 

0.24 

.07 

82.05 

1.72 

340.47 

3.45 

766.60 

5.06 

1S44.63 

li.ls 

.13 

0.17 

.05 

83.77 

1.74 

343.92 

3.47 

771.66 

5.07 

1351.11 

6.49 

.14 

0.12 

.03 

85.51 

1.75 

347.39 

3.48 

776.73 

5.10 

1357.60 

6.50 

.15 

0.09 

-.01 

87.26 

1.78 

350.87 

3.51 

781.83 

5.10 

1364.10 

6.52 

.16 

0.08 

.00 

89.04 

1.79 

351.38 

3.51 

786.93 

5.12 

1870.62 

6.53 

.17 

0.08 

+.02 

90.83 

1.80 

357.89 

3.54 

792.05 

5.14 

1377.15 

6.55 

.18 

0.10 

.04 

92.63 

1.83 

361.43 

3.55 

797.19 

5.15 

1383.70 

<;.;>.-> 

.19 

0.14 

.06 

94.46 

1.84 

364.98 

3.57 

802.34 

5.16 

1390.25 

6.56 

.20 

0.20 

.07 

96.30 

1.86 

368.55 

3.58 

807.50 

5.19 

1396.81 

<;.r.<> 

.21 

0.27 

.09 

98.16 

1.88 

372.13 

3.61 

812.69 

5.19 

1403.40 

6.59 

.22 

0.36 

.12 

100.04 

1.90 

375.74 

3.6-2 

817.88 

5.21 

1409.99 

6.61 

.23 

0.48 

.13 

101.94 

1.91 

879.86 

3.64 

823.0!) 

5.23 

1416.60 

6.61 

.24 

0.61 

.14 

103.85 

1.93 

383.00 

3.65 

828.32 

5.24 

1423.21 

6.63 

.25 

0.75 

.17 

105.78 

1.95 

386.65 

3.67 

833.56 

5.26 

1429.84 

6.65 

.26 

0.92 

.18 

107.73 

1.97 

390.32 

3.6!) 

888.82 

5.27 

1436.49 

6.66 

.27 

1.10 

.20 

109.70 

1.98 

394.01 

3.70 

Ml.  Oil 

5.29 

1443.15 

6.67 

.28 

1.30 

.22 

111.68 

2.00 

397.71 

3.72 

849.38 

5.30 

1449.82 

(i.li!) 

.29 

1.52 

.24 

113.68 

2.02 

401.43 

3.73 

854.68 

5.32 

1456.51 

6.69 

.30 

1.76 

.25 

115.70 

2.04 

405.16 

3.76 

860.00 

5.33 

1463.20 

6.70 

.31 

2.01 

.27 

117.74 

2.05 

408.92 

3.77 

N(;r,.:i:i 

5.3  1 

1469.90 

6.72 

.3-2 

2.28 

.30 

119.79 

2.07 

412.69 

8.78 

870.67 

5.36 

147(i.(i-J 

6.71 

.33 

2.58 

.30 

121.86 

2.09 

416.47 

3.80 

876.03 

5.38 

148.'(.:i(; 

6.74 

.3i 

2.88 

.33 

123.95 

2.11 

420.27 

3.82 

881.41 

;».:!!» 

1490.10 

6.76 

.35 

3.21 

.31 

126.06 

2.12 

424.09 

3.84 

886.80 

5.41 

1496.86 

6.77 

.36 

3.55 

.36 

IviS.lN 

'2.11 

4-27.!C{ 

8.85 

8!f2.-2  1 

5.  \-l 

1503.63 

6.78 

sn 

3.91 

.39 

130.32 

;>.!<; 

481.78 

:i,s7 

897.63 

.-..  1:1 

1510.41 

6.79 

.38 

4.80 

.39 

182.48 

2.18 

485.65 

3,88 

903.06 

5.45 

1517.20 

6.81 

.39 

4.69 

.42 

134.66 

2.20 

189.58 

:t.!»o 

908.51 

:,.  17 

1521.01 

6.81 

.40 

5.11 

.1:5 

136.86 

2.21 

44348 

3.92 

913.98 

r.,47 

1580.82 

6.83 

.41 

:>.:>  i 

.46 

l:(!l.()7 

.'.•.':! 

H7.3.-I 

3.!t3 

9J9.46 

6.50 

ir.:i7.(i.". 

6.85 

m 

6.00 

.17 

141.30 

•j.-r, 

151.28 

:{.!»:, 

!l'J  l.!»r> 

6.51 

1544.50 

6.85 

.43 

6,17 

.is 

i  i  :»..->.-> 

-,'.-,!<; 

165.28 

a97 

930.  t(i 

5.62 

1661.85 

6.87 

.11 

<;.!>:. 

..-)! 

ll.Vsl 

v!.v!!i 

159.20 

:!.!ts 

835.98 

5.5  1 

1658.22 

6.88 

.i:> 

7.111 

.r>-j 

118.10 

2.30 

n;:(.  I* 

!.()(> 

!U  1  .~f> 

6.66 

ir.C5.io 

O.ilO 

.46 

7.IIN 

.:.  i 

150.40 

•->.:(•,! 

467.18 

4.0-2 

947.07 

:».:.7 

1572.00 

6.90 

.17 

•v.VJ              .;,li 

L53.73 

2.3:! 

171.  "JO 

4.08 

!).-ivi.(i  1 

5.68 

1678.90 

6.!)2 

.|N 

9.08 

,:>s 

l  .->:>.():. 

2.85 

175.28 

1.05 

958.22 

5.60 

1585.82 

6.93 

M 

!l.6(i 

.60 

1.-.7.K) 

2.37 

I7!).-JN 

4.07 

963.82 

5.6  1 

1692.75 

6.93 

.50 

10.-2G 

-Mil 

ir.ii.77 

+2.3!) 

188.35 

+4.08 

969.43 

+5.62 

1699^8 

+6.96 

TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400  -f  4586".9  sin.   (2<  —  x)  +  31".2  sin.  (4t  —  2x}. 
Period,  31.81193574  days. 


Days.     O 

1 

2 

3 

4 

Decimals 
of  a  Diiy. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

.Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

.50 

10.26 

+  .61 

159.77 

+2.39 

483.35 

+4.08 

969*.43 

+5.62 

1599.68 

+6.96 

.51 

10.87 

.63 

162.16 

2.41 

487.43 

4.10 

975.05 

5.64 

1606.64 

6.96 

.52 

11.50 

.65 

164.57 

2.42 

491.53 

4.11 

980.69 

5.65 

1613.60 

6.98 

.53 

12.15 

.67 

166.99 

2.44 

495.64 

4.13 

986.34 

5.67 

1620.58 

6.98 

.54 

12.82 

.68 

169.43 

2.46 

499.77 

4.15 

992.01 

5.68 

1627.56 

7.00 

.55 

13.50 

.70 

171.89 

2.47 

503.92 

4.16 

997.69 

5.70 

1634.56 

7.02 

.56 

14.20 

.72 

174.36 

2.49 

508.08 

4.18 

1003.39 

5.71 

1641.58 

7.02 

.57 

14.92 

.74 

176.85 

2.51 

512.26 

4.19 

1009.10 

5.73 

1648.60 

7.04 

.58 

15.66 

.76 

179.36 

2.53 

516.45 

4.21 

1014.83 

5.74 

1655.64 

7.04 

.59 

16.42 

.77 

181.89 

2.54 

520.66 

4.23 

1020.57 

5.75 

1662.68 

,  7.06 

.60 

17.19 

.79 

184.43 

2.57 

524.89 

4.25 

1026.32 

5.77 

1669.74 

7.07 

.61 

17.98 

.81 

187.00 

2.57 

529.14 

4.26 

1032.09 

5.78 

1676.81 

7.09 

.62 

18.79 

.83 

189.57 

2.60 

533.40 

4.27 

1037.87 

5.80 

1683.90 

7.09 

.63 

19.62 

.85 

192.17 

2.62 

537.67 

4.30 

1043.67 

5.81 

1690.99 

7.11 

.64 

20.47 

.86 

194.79 

2.63 

541.97 

4.31 

1049.48 

5.83 

1698.10 

7.12 

.65 

21.33 

.88 

197.42 

2.65 

546.28 

4.32 

1055.31 

5.84 

1705.22 

7.13 

.66 

22.21 

.90 

200.07 

2.66 

550.60 

4.34 

1061.15 

5.85 

1712.35 

7.14 

.67 

23.11 

.92 

202.73 

2.68 

554.94 

4.36 

1067.00 

5.87 

1719.49 

7.15 

.68 

24.03 

.93 

205.41 

2.71 

559.30 

4.37 

1072.87 

5.88 

1726.64 

7.17 

.69 

24.96 

.96 

208.12 

2.71 

563.67 

4.38 

1078.75 

5.89 

1733.81 

7.17 

.70 

25.92 

.97 

210.83 

2.74 

568.05 

4.41 

1084.64 

5.91 

1740.98 

7.19 

.71 

26.89 

.99 

213.57 

2.75 

572.46 

4.42 

1090.55 

5.93 

1748.17 

7.20 

.72 

27.88 

1.00 

216.32 

2.77 

576.88 

4.44 

1096.48 

5.93 

1755.37 

7.21 

.73 

28.88 

1.03 

219.09 

2.78 

581.32 

4.45 

1102.41 

5.96 

1762.58 

7.22 

.74 

29.91 

1.04 

221.87 

2.81 

585.77 

4.47 

1108.37 

5.96 

1769.80 

7.23 

.75 

30.95 

1.06 

224.68 

2.82 

590.24 

4.48 

1114.33 

5.98 

1777.03 

7.25 

.76 

32.01 

1.08 

227.50 

2.84 

594.72 

4.50 

1120.31 

6.00 

1784.28 

7.25 

.77 

33.09 

1-10 

230.34 

2.85 

599.22 

4.52 

1126.31 

6.00 

1791.53 

7.27 

.78 

34.19 

1.11 

233.19 

2.88 

603.74 

4.53 

1132,31 

6.02 

1798.80 

7.28 

.79 

35.30 

1.13 

236.07 

2.89 

608.27 

4.54 

1138.33 

6.03 

1806.08 

7.28 

.80 

36.43 

1.15 

238.96 

2.91 

612.81 

4.57 

1  144.36 

6.05 

1813.36 

7.31 

.81 

37.58 

1.17 

241.87 

2.92 

617.38 

4.58 

1150.41 

6.07 

1820.67 

7.31 

.82 

38.75 

1.19 

244.79 

2.94 

621.96 

4.59 

1156.48 

6.07 

1827.98 

7.32 

.83 

39.94 

1.20 

247.73 

2.96 

626.55 

4.61 

1162.55 

6.09 

1835.30 

7.33 

.84 

41.14 

1.22 

250.69 

2.98 

631.16 

4.63 

1168.64 

6.11 

1842.63 

7.35 

.85 

42.36 

1.24 

253.67 

2.99 

635.79 

4.64 

1174.75 

6.12 

1849.98 

7.35 

.86 

43.60 

1.26 

256.66 

3.01 

640.43 

4.66 

1180.87 

6.13 

1857.33 

7.37 

.87 

44.86 

1.27 

259.67 

3.03 

645.09 

4.67 

1187.00 

6.14 

1864.70 

7.38 

.88 

46.13 

1.29 

262.70 

3.04 

649.76 

4.69 

1193.14 

6.16 

1872.08 

7.38 

.89 

47.42 

1.31 

265.74 

3.07 

654.45 

4.71 

1199.30 

6.17 

1879.46 

7.40 

.90 

48.73 

1.33 

268.81 

3.07 

659.16 

4.72 

1205.47 

6.18 

1886.86 

7.41 

.91 

50.06 

1.34 

271.88 

3.10 

663.88 

4.73 

1211.65 

6.20 

1894.27 

7.43 

.92 

51.40 

1.37 

274.98 

3.11 

668.61 

4.75 

1217.85 

6.22 

1901.70 

7.43 

.93 

52.77 

1.38 

278.09 

3.13 

673.36 

4.78 

1224.07 

6.22 

1909.13 

7.44 

.94 

54.15 

1.40 

281.22 

3.15 

678.14 

4.78 

1230.29 

6.24 

1916.57 

7.46 

.95 

55.55 

1.42 

284.37 

3.16 

682.92 

4.80 

1236.53 

6.25 

1924.03 

7.46 

.96 

56.97 

1.44 

287.53 

3.19 

687.72 

4.81 

1242.78 

6.27 

1931.49 

7.47 

.97 

58.41 

1.44 

290.72 

3.19 

692.53 

4.83 

1249.05 

6.28 

1938.96 

7.49 

.98 

59.85 

1.47 

293.91 

3.22 

697.36 

4.85 

1255.33 

6.29 

1946.45 

7.50 

.99 

61.32 

+1.49 

297.13 

+3.23 

702.21 

+4.85 

1261.62 

+6.31 

1953.95 

+7.50 

1.00 

62.81 

300.36 

707.06 

1267.93 

1961.45 

95 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400  -}-  4586".9  sin.  (2t  —  r)  -t-31".2  sin.  (4<  — 2*). 
Period,  31.81193574  days. 


Days.              .• 

6 

7 

8 

i 

Decimals 
of  a  Day 

Equal  ion. 

Dif. 

Equation. 

Dif 

Equation. 

Dif. 

Equation. 

Dif 

Equation. 

Dif. 

.00 

1961.45 

+7.52 

2760.43 

-1-8.42 

3633.06 

+8.98 

!.->  14.23 

+9.19 

5157.15 

+9.01 

.01 

1968.97 

7.53 

2768.85 

8.43 

3(i  12.0  1 

8.99 

4553.42 

9..18 

5466.16 

9.01 

.02 

1976.50 

7.54 

2777.28 

8.43 

3651.03)        8.99 

4562.60 

9.18 

5175.17 

9.01 

.03 

1984.04 

7.55 

2785.71 

8.44 

3660.02 

8.99 

4571.78 

9..18 

5484.18 

9.00 

.04 

1991.59 

7.55 

2794.15 

8.45 

3669.01 

8.99 

4580.96 

9.18 

5193.18 

9.00 

.05 

1999.14 

7.57 

2802.60 

8.45 

3678.00 

9.00 

45ilO.ll 

9.19 

5*02,18 

g.99 

.06 

2006.71 

7.58 

2811.05 

8.47 

3687.00 

9.01 

45U9.93 

8.18 

5511.17 

8.99 

.07 

2014.29 

7.59 

9819.52 

8.46 

:ii;i)6.01 

il.OO 

1608.51 

9.18 

55-20.16 

8.99 

.08 

2021.88 

7.61 

2827.98 

8.48 

3705.01 

!).()! 

l(J17.(i!) 

9.19 

55-29.15 

8.98 

.09 

2029.49 

7.61 

2836.46 

8.48 

3711.0-..' 

!».()•,' 

4686.88 

9.18 

5538.13 

8.98 

.10 

2037.10 

7.62 

2844.94 

8.49 

3723.0  1 

9.02 

4636.0(5 

9.18 

5547.11 

8.98 

.11 

2044.72 

7.63 

2853.43 

8.50 

3732.06 

il.O-J 

Ifll.-).-^! 

9.18 

5556.09 

8.97 

.12 

2052.35 

7.64 

•2861.93 

8.50 

3741.08 

8L02 

4651,1-2 

9.19 

55(15.  (Hi 

8.96 

.13 

2059.99 

7.66 

287(1.  13 

8.51 

3750.10 

!i.(i:{ 

4668.61 

9.18 

5571.02 

8.97 

.14 

2067.65 

7.66 

2878.94 

8.52 

37511.  13 

9.03 

4672.79 

9.18 

5683.99 

8.96 

.15 

2075.31 

7.67 

2887.46 

8.53 

3768.16 

9.04 

4681.97 

9.18 

5591.95 

8.95 

.16 

2082.98 

7.68 

2895.99 

8.53 

3777.20 

9.04 

4691.15 

9.18 

5600.90 

8.95 

.17 

2090.66 

7.69 

2904.52 

8.54 

3786.2  I 

9.04 

4700.33 

9.18 

6609.85 

8.95 

48 

2098.35 

7.71 

2913.06 

8.54 

8795.28 

9.04 

4709.51 

9.18 

5618.80 

8.94 

.19 

2106.06 

7.71 

2921.60 

8.55 

3804.32 

9.05 

4718.69 

9.17 

5627.74 

8.94 

.20 

2113.77 

7.72 

2930.15 

8.56 

3813.37 

9.05 

4727.86 

9.18 

563(i.(lN 

8.93 

.21 

2121.49 

7.73 

2938.71 

8.57 

3822.42 

9.06 

4737.04 

9.18 

5645.61 

8.93 

.22 

2129.22 

7.75 

2947.28 

8.57 

3831.48 

9.05 

4746.22 

9.18 

.565151 

8.93 

.23 

2136.97 

7.75 

2955.85 

8.58 

3*  10.53 

9.06 

4755.  10 

9.17 

5663.  17 

8.92 

A4 

2144.72 

7.76 

2964.43 

8.59 

3849.59 

9.07 

4764.57 

9.18 

5672.39 

8.92 

.25 

2152.48 

7.78 

2973.02 

8.59 

3858.66 

9.06 

4773.75 

9.17 

568L81 

8.91 

.26 

2160.26 

7.78 

2981.61 

8.60 

3867.72 

9.07 

4782.92 

9.18 

5690.22 

8.91 

.27 

2168.04 

7.79 

B990.21 

8.60 

3N76.79 

9.07 

1792,10 

9.17 

5699,13 

8.90 

.28 

2175.83 

7.80 

2998.81 

8.61 

3885.86 

9.08 

4801.27 

9.17 

5708.03 

890 

.29 

2183.63 

7.81 

3007.42 

8.62 

3894.94 

9.08 

4810.44 

9.17 

5716.93 

8.90 

.30 

2191.44 

7.82 

3016.04 

8.62 

3!M)  I.I  I-.' 

9.08 

481!).(il 

9.17 

5725.83 

8.89 

.31 

2199.26 

7.83 

3024.66 

8.63 

3913.  10 

9.08 

482H.7N 

9.17 

5731.7-2 

8.88 

.32 

2207.09 

7.84 

303:!.-2ii 

8.64 

1939.18 

9.09 

4837.!)-i 

9.17 

5748.60 

8.88 

.33 

2211.93 

7.85 

8041.98 

864 

393  1  .'27 

9.08 

is  17.  12 

9.17 

5752.  is 

8.88 

.34 

H3&78 

7.86 

3050.57 

865 

3940.35 

9.10 

4856.29 

9.16 

6711.36 

8.87 

.35 

2230.64 

7.87 

80MJ& 

8.65 

3!t  in.  ir. 

9.0!) 

4865.  15 

9.17 

5770.'23 

8.87 

.36 

•-".'.•{8.51 

7.88 

3067.83 

S.lw 

8968.54 

!).!() 

IS74.62 

9.16 

577!).  10 

8.86 

.37 

•.".'  ifi.:t!i 

7.89 

8076.54 

H.66 

3it<i7.6i 

9.10 

(883.78 

9,17 

5787.96 

8.85 

.38 

•2251.-2S 

1JBB 

30S.V20 

8.68 

3H76.7  1 

9.10 

1892.95 

9,16 

5796.81 

8.85 

.39 

B2S2.K 

7.!)1 

:t(>!)3.88 

8.67 

:(i)N.-,.Ni 

9.10 

(008.11 

9.16 

B805.66 

8.85 

.40 

8870.06 

7.92 

319&66 

8.6!) 

3!l!>  l.ill 

9.11 

IIM1.27 

9.16 

5SM.51 

8.8  1 

.11 

2278.00 

7.92 

3  1  1  1  .-2  1          8.69 

400  1.05          9.10 

1920.43 

9.16 

5823.35 

8.84 

.42 

2285.92 

7.94 

31111.93          8.70 

l(ii:i.i:»        9.11 

(929-59 

9.15 

5832.19 

N.Kt 

.43 

•2293.MH             7  .ill 

3I2M.63        s.7<> 

40-J-,'.2C          9.1-J 

1988.74 

9.16 

5841.02 

8.82 

.11 

•23(  >l.  MI        7.96 

:!i:f7.:!:f        8.71 

.|():(l.:{.s 

9.11 

4947.90 

11.15 

149.84 

8.83 

.15 

230!».7(i          7  Sli 

::ii(i.m        N.7-2 

HllO.li) 

9.12 

..7.05 

9.15 

0888.67 

s.si 

.K; 

2317.7-2          7.!)7 

3l5i.7i;        s7-2 

•KlliUil            il.l'J 

4966.80 

9.15 

6867.48 

8.81 

.1: 

•23-25.6!  i        7.ss 

:;n;:{.  is        s.73 

10.-iS.73         ').!-' 

.11(75.35          9.15 

5H7C.-2!) 

N.Sl 

.48 

eSSS-ft 

3172.21          'v7:t 

I(iii7.s:.          11.13 

•  liis  |.r,()          !).I5 

5885.10 

8.80 

.1!! 

2:m.<:<;        s.oo 

3iso.!»l         *.-;:{ 

4076.9N          D.I-J 

4993,65 

il.ll 

5893.90 

S.7!) 

.50 

2:;i:u;i;     H-H.OO 

31*11.67       -fS.75 

i(is(;.io 

+9.13 

6002.79 

+9.15 

5902.69 

+S.7!) 

96 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400  +  4586".9  sin.  (2t  —  x)  -t-31".2  sin.  (4* 
Period,  31.81193574  days. 


Days.      5 

6 

7 

8 

9 

Decimals 
of  a  Hay. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

.50 

234y".6fi 

+8.00 

3189.67 

+8.75 

4086.10 

+9.13 

5002.79 

+9.15 

5902.69 

+8.79 

.51 

2357.66;    8.02 

3198.42 

8.75 

4095.23 

9.13 

5011.94 

9.14 

5911.48 

8.79 

.52 

2365.68    8.03 

3^07.17 

8.76 

4104.36 

9.14 

5021.08 

9.14 

5920.27 

8.78 

.53 

2373.71  1    8.03 

3215.93 

8.75 

4113.50 

9.13 

5030.22 

9.14 

5929.05 

8.77 

.54 

2381.74 

8.04 

3224.68 

8.77 

4122.63 

9.14 

5039.36 

9.14 

5937.82 

8.77 

.55 

2389.78 

8.05 

3233.45 

8.77 

4131.77 

9.13 

5048.50 

9.13 

5946.59 

8.77 

.53 

2397.83 

8.07 

3242.22 

8.78 

4140.90 

9.14 

5057.63 

9.14 

5955.36 

8.75 

.57 

2405.90 

8.07 

3251.00 

8.78 

4150.04 

9.14 

5066.77 

9.13 

5964.11 

8.76 

.58 

2413.97 

8.08 

3259.78 

8.79 

4159.18 

9.15 

5075.90 

9.13 

5972.87 

8.75 

.59 

2422.05 

8.08 

3268.57 

8.79 

4168.33 

9.14 

5085.03 

9.12 

5981.62 

8.73 

.60 

2430.13 

8.10 

3277.36 

8.80 

4177.47 

9.15 

5094.15 

9.13 

5990.35 

8.73 

.61 

2438.23 

8.11 

3286.16 

8.80 

4186.62 

9.15 

5103.28 

9.12 

5999.08 

8.73 

.62 

2446.34 

8.11 

3294.96 

8.81 

4195.77 

9.15 

5112.40 

9.12 

6007.81 

8.73 

.63 

2454.45 

8.12 

3303.77 

8.82 

4204.92 

9.15 

5121.52 

9.12 

6016.54 

8.72 

.64 

2462.57 

8.13 

3312.59 

8.81 

4214.07 

9.15 

5130.64 

9.12 

6025.26 

8.71 

.65 

2470.70 

8.14 

3321.40 

8.83 

4223.22 

9.16 

5139.76 

9.11 

6033.97 

8.70 

.66 

2478.84 

8.15 

3330.23 

8.83 

4232.38 

9.15 

5148.87 

9.12 

6042.67 

8.71 

.67 

2486.99 

8.1-6 

3339.06 

8.83 

4241.53 

9.16 

5157.99 

9.10 

6051.38 

8.69 

.68 

2495.15 

8.17 

3347.89 

8.84 

4250.69 

9.16 

5167.09 

9.10 

6060.07 

8.69 

.69 

2503.32 

8.16 

3356.73 

8.85 

4259.85 

9.15 

5176.19 

9.11 

6068.76 

8.67 

.70 

2511.48 

8.18 

3365.58 

8.85 

4269.00 

9.17 

5185.30 

9.10 

6077.43 

8.68 

.71 

2519.66 

8.20 

3374.43 

8.85 

4278.17 

9.16 

5194.40 

9.11 

6086.11 

8.67 

.72 

2527.86 

8.20 

3383.28 

8.86 

4287.33 

9.16 

5203.51 

9.09 

6094.78 

8.66 

.73 

2536.06 

8.20 

3392.14 

8.87 

4296.49 

9.18 

5212.60 

9.10 

6103.44 

8.66 

.74 

2544.26 

8.22 

3401.01 

8.87 

4305.67 

9.15 

5221.70 

9.09 

6112.10 

8.65 

.75 

2552.48 

8.22 

3409.88 

8.87 

4314.82 

9.17 

5230.79 

9.09 

6120.75 

8.65 

.76 

2560.70 

8.23 

3418.75 

8.88 

4323.99 

9.17 

5239.88 

9.09 

6129.40 

8.64 

.77 

2568.93 

8.24 

3427.63 

8.88 

4333.16 

9.17 

5248.97 

9.08 

6138.04 

8.63 

.78 

2577.17 

8.25 

343(1.  f>l 

8.89 

4342.33 

9.17 

5258.05 

9.08 

6146.67 

8.63 

.79 

2585.42 

8.25 

3445.40 

8.89 

4351.50 

9.17 

5267.13 

9.08 

6155.30 

8.62 

.80 

2593.67 

8.27 

3454.29 

8.90 

4360.67 

9.17 

5276.21 

9.08 

6163.92 

8.61 

.81 

2601.94 

8.27 

3463.19 

8.90 

4369.84 

9.18 

5285.29 

9.07 

6172.53 

8.60 

.82 

261021 

8.28 

3  172.09 

8.91 

4379.02 

9.17 

5294.36 

9.07 

6181.13 

8.61 

.83 

2618.49 

8.29 

3481.00 

8.91 

4388.19 

9.17 

5303.43 

9.07 

6189.74 

8.59 

.84 

2626.78 

8.29 

3489.91 

8.91 

4397.36 

9.18 

5312.50 

9.07 

6198.33 

8.59 

.85 

2635.07 

8.31 

3498.82 

8.92 

4406.54 

9.17 

5321.57 

9.05 

6206.92 

8.58 

.86 

2643.38 

8.31 

3507.74 

8.92 

4415.71 

9.18 

5330.62 

9.06 

6215.50 

8.57 

.87 

2651.69 

8.32 

3516.66 

8.93 

4424.89 

9.18 

5339.68 

9.06 

6224.07 

8.57 

.88 

2660.01 

8.32 

3525.59 

8.94 

1434.07 

9.17 

5348.74 

9.05 

6232.64 

8.57 

.89 

2668.33 

8.34 

3534.53 

8.93 

4443.24 

9.18 

5357.79 

9.05 

6241.21 

8.55 

.90 

2676.67 

8.34 

3513.46 

8.94 

4152.42 

9.18 

5366.84 

9.04 

6249.76 

8.55 

.91 

2685.01 

8.35 

3552.40 

8.95 

4461.60 

9.18 

5375.88 

9.05 

6258.31 

8.54 

.92 

2693.36 

8.36 

3561.35 

8.95 

4470.78 

9.  IS 

5384.93 

9.04 

6266.85 

8.53 

.93 

2701  72 

8.37 

3570.30    8.95 

4479.96 

9.18 

5393.97 

9.03 

6275.38 

8.53 

.94 

2710.09 

8.37 

3579.25 

8.96 

4489.14 

9.19 

5403.00 

9.04 

6283.91 

8.52 

.95 

2718.46 

8.38 

3588.21 

8.96 

4498.33 

9.18 

5412.04 

9.03 

6292.43 

8.52 

.96 

2726.84 

8.39 

3597.17 

8.97 

4507.51 

9.18 

5421.07 

9.02 

6300.95 

8.50 

.97 

2735.23 

8.39 

3606.14 

8.97 

4516.69 

9.18 

5  130.09 

9.03 

6309.45 

8.50 

.98 

274362 

8.41 

3615.11 

8.97 

4525.87 

9.18 

5439.12 

9.02 

6317.95 

8.50 

.99 

2752.03 

+8.40 

3624.08 

+8.98 

4535.05 

+9.18 

5448.14 

+9.01 

6326.45 

+8.48 

1.00 

2760.  13 

3633.06 

4544.23 

5457.15 

6334.93 

TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400 -f- 4586".9  sin.  (2t  —  x)  -+-31".2  sin.  (4<  — 2i). 
Period,  31.81193574  days. 


Days.     1O 

11 

13 

13 

14 

Decimal! 
of  a  Day 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

.00 

6334.93 

+8.48 

7142.25 

+7.61 

7846.93 

+6.43 

8421.28 

+5.00 

8843.22 

+3.39 

.01 

6343.41 

8.47 

7149.86 

7.60 

7853.36 

6.42 

8426.28 

4.99 

8*  16.61 

3.37 

.02 

6351.88 

8.46 

7157.46 

7.58 

7869,78 

(i.  11 

8131.27 

4.98 

8849.98 

3.36 

.03 

6360.34 

8.46 

7165.04 

7.57 

7866.19 

<;.:!!> 

8  136.25 

4.95 

8853.3  1 

3.35 

.04 

6368.80 

8.45 

7172.61 

7.57 

7872.58 

6.38 

8441.20 

4.94 

8856.69 

3.32 

.05 

6377.25 

8.44 

7180.18 

7.55 

7878.96 

6.36 

8146.14 

4.93 

8860.01 

8.31 

.06 

6385.69 

8.43 

7187.73 

7.54 

7885.32 

6.35 

8451.07 

4.91 

8868.32 

3.29 

.07 

6394.12 

8.43 

7195.27 

7.53 

7891.67 

6134 

8455.98 

4.90 

8866.61 

3.27 

.08 

6402.55 

8.43 

7-.J02.80 

7.52 

7898.01 

6.32 

8480.88 

4.89 

8869:88 

3.26 

.09 

6410.98 

8.41 

7210.32 

7.52 

7904.33 

6.31 

8465.77 

4.87 

8873.14 

3.23 

.10 

6419.39 

8.41 

7217.84 

7.50 

7910.64 

6.30 

8470.64 

4.85 

8876.37 

3.22 

.11 

6427.80 

8.40 

7225.34 

7.49 

7916.94 

6.29 

8475.49 

4.84 

8879.59 

3.31 

.12 

6436.20 

8.39 

7232.83 

.  7.48 

7923.23 

6.27 

8480.33 

4.82 

8882.80 

3.19 

.13 

6444.59 

8.38 

7240.81 

7.46 

7929.50 

6.26 

8485.15 

4.80 

8885.99 

3.17 

.14 

6452.97 

8.38 

7247.77 

7.46 

7935.76 

6.24 

8489.95 

4.79 

8889.16 

3.15 

.15 

6461.35 

8.37 

7255.23 

7.45 

7942.00 

6.23 

8494.74 

4.78 

8892.31 

3.14 

.16 

646!  1.7-2 

8.36 

7262.68 

7.43 

7948.23 

6.22 

8499.52 

4.76 

8895.  15 

3.12 

.17 

6178.08 

8.35 

7-270.11 

7.43 

7954.45 

6.20 

8504.28 

•  4.74 

8898.57 

3.10 

.18 

6486.43 

8.35 

7277.54 

7.41 

7960.65 

6.19 

8509.02 

4.73 

8901.67 

3.09 

.19 

6494.78 

8.34 

7284.95 

7.41 

7966.84 

6.18 

8513.75 

4.71 

8904.76 

3.07 

.20 

6503.12 

8.33 

7292.36 

7.39 

7973.02 

6.17 

8518.46 

4.69 

8907.83 

3.05 

.21 

6511.45 

8.32 

1299.75 

7.39 

7979.19 

6.15 

8523.1.-) 

4.68 

8910.88 

3.03 

.22 

6519.77 

8.31 

7307.14 

7.37 

7985.34 

6.13 

8527.83 

4.67 

8913.91 

3.02 

.23 

6528.08 

8.31 

7314.51 

7.36 

7991.47 

6.12 

8532.50 

4.65 

8916.93 

3.00 

.24 

6536.39 

8.30 

7321.87 

7.35 

7997.59 

6.11 

8537.15 

4.63 

8919.93 

2.98 

.25 

6544.69 

8.29 

7329.22 

7.33 

8003.70 

6.10 

8541.78 

4.62 

8922.91 

2.97 

.26 

66B2.98 

8.28 

7336.55 

7.33 

8009.80 

6.08 

8546.40 

4.60 

8925.88 

2.95 

.27 

0561.26 

.  8.27 

7343.88 

7.31 

8015.88 

6.07 

8551.00 

4.58 

8928.83 

2.93 

.28 

6569.53 

8.27 

7351.19 

7.31 

8021.95 

6.05 

8555.58 

4.57 

8931.76 

2.91 

.29 

6577.80 

8.26 

7358.50 

7.30 

8028.00 

6.04 

8560.15 

4.55 

8934.67 

2.90 

.30 

6586.06 

8.25 

7365.80 

7.28 

8034.04 

6.03 

8564.70 

4.54 

8937.57 

2.88 

•  .31 

6594.31 

8.25 

7373.08 

7.27 

8040.07 

6.01 

8569.24 

4.52 

8940.45 

2.86 

.32 

6602.56 

8.23 

7880.85 

7.26 

M)  16.08 

6.00 

8573.76 

4.51 

8948.81 

2.85 

.33 

6610.79 

8.23 

7387.61 

7.24 

8082.08 

5.99 

8578.27 

4.49 

8946.16 

2.83 

.34 

6619.02 

8.21 

7394.85 

7.24 

8058.07 

5.97 

8582.76 

4.48 

8948.99 

2.81 

.35 

6627.23 

8.21 

7  102.09 

7.23 

8064.04 

5.96 

8587.24 

4.46 

8951.80 

2.79 

.36 

(i(i35.44 

8.20 

7409.82 

7.21 

8070.00 

5.94 

8991.70 

4.44 

8954.69 

2.78 

.37 

6643.64 

8.20 

7116.53 

7.20 

8075.94 

5.93 

8596.14 

4.43 

8957.37 

2.76 

.38 

6651.84 

8.18 

7  123.73 

7.20 

8081.87 

5.91 

8r)(M).;>7 

4,11 

8960.13 

2.74 

.39 

6660.02 

8.18 

7130.93 

7.18 

8087.78 

5.90 

8604.98 

4.39 

8962.87 

2.72 

.40 

6668.20 

8.17 

7138.11 

7.17 

9008.68 

5.89 

8609.37 

4.38 

8965.69 

2.71 

.41 

6676.37 

8.16 

7  1  15.28 

7.15 

§099.57 

5.87 

8613.75 

4.86 

8KIW.30     2.69 

.42 

66*4.53 

8.15 

7452.48 

7.15 

HI  05.44 

5.86 

sdl8.ll 

4.85 

MI70.99    2.67 

.43 

6692.68 

8.14 

7469.58 

7.13 

Mil.  30 

5.85 

8622.46 

l.:t:t 

8!)73.6(i    2.66 

.44 

6700.82 

8.14 

7166.71 

7.13 

8117.15 

5.83 

8626.79 

4.31 

897<i.:i-2 

2.61 

.45 

6708.96 

8.12 

7473.64 

7.11 

8122.98 

5.82 

8631.10 

4.30 

8978.96 

2.62 

M 

6717.08 

8.12 

7480.95 

7.09 

8128.su    5.80 

8635.  10 

4.28 

9981.68 

2.60 

.47 

8725.20 

8.11 

7488.04 

7.09 

sKil.liO    5.79 

8689.68 

4.27 

8984.18 

2.59 

.48 

t;7:i:{.:ti 

8.10 

7495.13    7.08 

8140.:i!l    5.77 

8643.95 

4.25 

ViMi.77    2.57 

.49 

i  Ml  1.11    8.09 

7.-.02.-J1    706 

8146.16    5.76 

8648.20 

4.24 

8!I89.3  1    2.55 

.50 

(!7  19.50 

-1-8.08 

7509.27 

-1-706 

8151.92 

+5.75 

86:V2.  1  1 

+4.22 

8991.8!) 

+2.53 

98 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587MOO  +  4586".9  sin.  (2t  —  x)+31".2  sin.  (4t — 2x). 
Period,  31.81193574  days. 


Days.     1O 

11 

12 

13 

14 

Decimals 

of  ;i  D;iy 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

i)if. 

Equation. 

Dif. 

Equation. 

Dif. 

.50 

6749.50 

+8.08 

7509.27 

+7.06 

8151.92 

+5.75 

8652.44 

+4.22 

8991.8 

+2.53 

.51 

6757.58 

8.07 

7516.33 

7.04 

8157.67 

5.73 

8656.6C 

4.20 

8994.4 

2.52 

.52 

6765  65 

8.06 

7523.37 

7.0: 

8163.4C 

5.7 

8660.8f 

4.18 

8996.9 

2.50 

.53 

6773.71 

8.06 

7530.40 

7.01 

8169.11 

5.70 

8665.04 

4.17 

8999.4 

2.48 

.54 

6781.77 

8.05 

7537.41 

7.01 

8174.81 

5.69 

8669.21 

4.15 

9001.9 

2.47 

.55 

6789.82 

8.04 

7544.42 

6.99 

8180.50 

5.68 

8673.36 

4.14 

9004.3 

2.44 

.5(i 

6797.86 

8.03 

7551.41 

6.98 

8186.18 

5.66 

8677.50 

4.12 

9006.8 

2.43 

.57 

6805.89 

8.02 

7558.39 

6.97 

8191.84 

5.64 

8681.62 

4.10 

9009.2 

2.41 

.58 

6813.91 

8.01 

7565.36 

6.96 

8197.48 

5.63 

8685.72 

4.09 

9011.6 

2.40 

.59 

6821.92 

8.01 

7572.32 

6.95 

8203.11 

5.62 

8689.8 

4.07 

9014.0 

2.37 

.60 

6829.93 

7.99 

7579.27 

6.93 

8208.73 

5.60 

8693.88 

4.06 

9016.44 

2.36 

.61 

6837.92 

7.98 

7586.20 

6.92 

8214.3: 

5.59 

8697.94 

4.04 

9018.8 

2.35 

.62 

6845.90 

7.98 

7593.12 

6.91 

8219.92 

5.57 

8701.98 

4.02 

9021.1 

2.32 

.63 

6853.88 

7.96 

7600.03 

6.90 

8225.49 

5.56 

8706.00 

4.01 

9023.4 

2.31 

.64 

6861.84 

7.96 

7606.93 

6.89 

8231.05 

5.54 

8710.01 

3.99 

9025.7 

2.29 

.65 

6869.80 

7.95 

7613.82 

6.86 

8236.59 

5.53 

8714.00 

3.97 

9028.07 

2.27 

.66 

6877.75 

7.93 

7620.68 

6.86 

8242.12 

5.52 

8717.97 

3.96 

9030.3 

2.26 

.67 

6885.68 

7.93 

7627.54 

6.85 

8247.64 

5.50 

8721.93 

3.94 

9032.60 

2.23 

.68 

6893.61 

7.92 

7634.39 

6.84 

8253.14 

5.48 

8725.87 

3.92 

9034.83 

2.22 

.69 

6901.53 

7.92 

7641.23 

6.83 

8258.62 

5.47 

8729.79 

3.91 

9037.0o 

2.21 

.70 

6909.45 

7.90 

7648.06 

6.81 

8264.09 

5.46 

8733.70 

3.89 

9039.26 

2.18 

.71 

6917.35 

7.89 

7654.87 

6.80 

8269.55 

5.44 

8737.59 

3.88 

9041.44 

2.17 

.72 

6925.24 

7.88 

7661.67 

6.78 

8274.99 

5.43 

8741.47 

3.86 

9043.6 

2.15 

.73 

6933.12 

7.87 

7668.45 

6.78 

8280.42 

5.41 

8745.33 

3.84 

9045.76 

2.13 

.74 

6940.99 

7.86 

7675.23 

6.76 

8285.83 

5.39 

8749.17 

3.82 

9047.89 

2.11 

.75 

6948.85 

7.86 

7681.99 

6.75 

8291.22 

5.38 

8752.99 

3.81 

9050.00 

2.10 

.76 

6956.71 

7.84 

7688.74 

6.73 

8296.60 

5.37 

8756.80 

3.80 

9052.10 

2.08 

.77 

6964.55 

7.83 

7695.47 

6.73 

8301.97 

5.35 

8760.60 

3.77 

9051.18 

2.06 

.78 

6972.38 

7.83 

7702.20 

6.71 

8307.32 

5.34 

8764.37 

3.76 

9056.24 

2.05 

.79 

6980.21 

7.82 

7708.91 

6.70 

8312.66 

5.32 

8768.13 

3.74 

9058.29 

2.02 

.80 

6988.03 

7.80 

7715.61 

6.69 

8317.98 

5.31 

8771.87 

3.73 

9060.31 

2.01 

.81 

6995.83 

7.80 

7722.30 

6.68 

8323.29 

5.29 

8775.60 

3.71 

9062.32 

1.99 

.82 

7003.63 

7.78 

7728.98 

6.66 

8328.58 

5.28 

8779.31 

3.69 

9064.31 

1.97 

.83 

7011.41 

7.78 

7735.64 

6.65 

8333.86 

5.26 

8783.00 

3.68 

9066.28 

1.96 

.84 

7019.19 

7.76 

7742.29 

6.63 

8339.12 

5.25 

8786.68 

3.66 

9068.24 

1.94 

.85 

7026.95 

7.76 

7748.92 

6.63 

8344.37 

5.24 

8790.34 

3.64 

9070.18 

1.92 

.86 

7034.71 

7.75 

7755.55 

6.61 

8349.61 

5.21 

8793.98 

3.62 

9072.10 

1.90 

.87 

7042.46 

7.73 

7762.16 

6.59 

8354.82 

5.20 

8797.60 

3.61 

9074.00 

1.89 

.88 

7050.19 

7.73 

7768.75 

6.59 

8360.02 

5.19 

8801.21 

3.60 

9075.89 

1.87 

.89 

7057.92 

7.72 

7775.34 

6.58 

8365.21 

5.17 

8804.81 

3.57 

9077.76 

1.85 

.90 

7065.64 

7.71 

7781.92 

6.56 

8370.38 

5.16 

8808.38 

3.56 

9079.61 

1.83 

.91 

707:i.:i:) 

7.69 

7788.48 

6.51 

8375.54 

5.15 

8811.94 

3.55 

9081.44 

1.81 

.92 

7081.04 

7.69 

7795.02 

6.54 

8380.69 

513 

8815.49 

3.52 

9083.25 

1.80 

.93 

7088.73 

7.68 

7801.56 

6.52 

8385.82 

5.10 

8819.01 

3.51 

9085.05 

1.78 

.94 

7096.41 

7.66 

7808.08 

6.51 

8390.92 

5.10 

8822.52 

3.49 

9086.83 

1.76 

.95 

7104.07 

7.66 

7814.59 

6.49 

8396.02 

5.08 

882601 

3.48 

9088.59 

1.74 

.96 

7111.73 

7.64 

7821.08 

6.48 

8401.10 

5.07 

8829.49 

3.46 

9090.33 

1.73 

.97 

7119.37 

7.64 

7827.56 

6.48 

8406.17 

5.05 

8832.95 

3.44 

9092.06 

1.71 

.98 

7127.01 

7.63 

7834.04 

6.45 

8411.22 

5.04 

8836  39 

3.42 

9093.77 

1.69 

.99 

713164 

+7.61 

7840.49 

+6.44 

8416.26 

+5.02 

8839.81 

+3.41 

9095.46 

+  1.67 

1.00 

7142.25 

7846.93 

8421.28 

8843.22 

9097.13 

99 


TABLE  VII.    ARGUMENT  2. 

Equation  —  4587".400  -f  4586".9  sin.  (2t  —  x)  -+-  31".2  sin.  (4*  —  2*). 
Period,  31.81193574  days. 


Days.             l.» 

16 

17 

18 

19 

Decimal* 
of  a  Day. 

Equation. 

Dif. 

Equation. 

Dif. 

Equutiun. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

.00 

9097.13 

+1.65 

9174".30 

-  .13 

9073.11 

-1.90 

8798.89 

—3.58 

8363.46 

—5.11 

.01 

9098.78 

1.64 

9174.17 

.15 

9071.21 

1.91 

8795.31 

3.60 

8358.35 

5,18 

.02 

9100.42 

1.62 

9174.02 

.17 

9069.30 

1.91 

8791.71 

3.61 

8353.22 

5.14 

.03 

9102.04 

1.60 

9173.85 

.19 

9067.36 

1.95 

8788.  1< 

3.63 

8348.08 

5.16 

.04 

9103.64 

1.59 

9173.66 

.20 

9065.41 

1.97 

8784.47 

3.65 

8848JS 

5.17 

.05 

9105.23 

1.57 

9173.46 

.22 

9063.  1  1 

1.99 

8780.82 

3.66 

8337.75 

5.18 

.06 

9106.80 

1.55 

9173.21 

.24 

9061.15         2.00 

8777.16 

3.68 

8332.57 

5.20 

.07 

9108.35 

1.53 

9173.00 

.26 

9059.45!        2.03 

8773.48 

3.69 

8327.37 

5.21 

.08 

9109.88 

1.51 

9172.74 

.27 

9057.  12 

2.04 

8769.79 

3.71 

8322.16 

5.23 

.09 

9111.39 

1.49 

9172.47 

.30 

9055.38 

2.05 

8766.08 

3.72 

8316.93 

5.24 

.10 

9112.88 

1.48 

9172.17 

.31 

9053.33 

2.07 

8762.36 

3.75 

8311.69 

5.26 

.11 

9114.36 

1.46 

9171.86 

.33 

9051.26 

2.09 

8758.61 

3.76 

8306.43 

5.27 

.12 

9115.82 

1.44 

9171.53 

.34 

9049.17 

2.11 

8751.85 

3.77 

8301.16 

5.28 

.13 

9117.26 

1.42 

9171.19 

.37 

9047.06 

2.13 

8751.08 

3.79 

8395.68 

5.30 

.14 

9118.68 

1.41 

9170.82 

.38 

9044.93 

2.14 

8747.29 

3.81 

8290.58 

5.31 

.15 

9120.09 

1.39 

9170.44 

.40 

9012.79 

2.16 

8743.48 

3.82 

8285.27 

5.33 

.16 

9121.48 

1.37 

9170.04 

.42 

9040.63 

2.18 

8739.66 

3.81 

8279.94 

5.34 

.17 

9122.85 

1.35 

9169.62 

.44 

9038.45 

2.19 

8735.82 

3.85 

8:m.60 

5.35 

.18 

9124.20 

1.34 

9169.18 

.45 

9036.26 

2.21 

8731.97 

3.87 

8269.25 

5.37 

.19 

9125.54 

1.31 

9168.73 

.47 

9034.05 

2.22 

8728.10 

3.88 

6868,88 

5.38 

.20 

9126.85 

1.30 

9168.26 

.49 

9031.83 

2.25 

8724.22 

3.90 

8258.50 

5.40 

.21 

9128.15 

1.29 

9167.77 

.51 

9029.58 

226 

8720.32 

8.92 

8253.10 

5.41 

.22 

9129.44 

1.26 

9167.26 

.52 

9027.32 

2.28 

8716.40 

3.94 

8247,69 

5.42 

.23 

9130.70 

1.25 

9166.74 

.55 

9025.04 

2.30 

8712.46 

5.95 

82  12.27 

5.4  1 

.24 

9131.95 

1.22 

9166.19 

.56 

9022.74 

2.31 

8708.51 

3.96 

8236.83 

5.45 

.25 

9133.17 

1.21 

9165.63 

.58 

9020.43 

2.33 

8704.55 

3.98 

8231.3s 

5.47 

.26 

9134.38 

1.20 

9165.05 

.59 

9018.10 

2.35 

8700.57 

4.00 

822;').!)  1 

5.48 

.27 

9135.58 

1.17 

9164.46 

.62 

9015.75 

2.37 

8696.57 

4.01 

8220.  13 

;-)..->() 

.28 

9136.75 

1.16 

9163.84 

.63 

9013.3s 

2.38 

8893.66 

4.03 

8214.93 

5.50 

.29 

9137.91 

1.14 

9163.21 

.65 

9011.00 

2.40 

8688.53 

4.01 

820!).  13 

5.52 

.30 

9139.05 

1.12 

9162.56 

.67 

9008.60 

2.42 

8684.49 

4.06 

8203.91 

5.51 

.31 

9140.17 

1.10 

9161.89 

.68 

9006.18 

2.43 

8680.43 

4.08 

8198.87 

5.55 

.32 

9141.27 

1.09 

9161.21 

.70 

9003.7:> 

2.45 

8676.35 

4.09 

8192.82 

5.56 

.33 

9142.36 

1.06 

9160.51 

.73 

9001.30 

2.47 

N(i72.26 

4.10 

8187.26 

5.57 

.34 

9143.42 

1.05 

9159.78 

.74 

8998.83 

2.48 

8668.16 

4.12 

8181.6!) 

5.59 

.35 

9144.47 

1.04 

9159.04 

.75 

8996.35 

2.50 

8661.01 

4.14 

8176.10 

5.61 

.36 

9145.51 

1.01 

1)158.29 

.78 

8993.N5 

9L6S 

8859.90 

4.15 

8170.11) 

5.62 

.37 

9146.52 

1.00 

!»1;-)7.51 

.79 

Hi)!)  1.33 

2.51 

8655.75 

4.17 

8164.87 

5.63 

.38 

9147.52 

.98 

9156.72 

.81 

N!M8.79 

2.5:') 

8651.58 

4.19 

815934 

5.  (it 

.39 

9148.50 

.96 

9155.91 

.82 

8986.24 

2.57 

8647.39 

4.20 

8153.60 

5.66 

.40 

9149.4'6 

.94 

9155.09 

B6 

8983.  67 

2.59 

8643.19 

4.21 

8147.94 

5.67 

.41 

9150.40 

.92 

9151.21 

.86 

8981.08 

2.60 

8688.98 

4.23 

8  1  12.27 

5.68 

.42 

9151.32 

.91 

!)  153.38 

.88 

807VI- 

2.62 

8634.75 

1.21 

8186,59 

5.70 

.43 

9152.23 

.89 

9152.50 

.90 

H!)75.Ni; 

2.6  I 

8630.51 

4.26 

8180.89 

5.71 

.44 

9153.12 

.87 

9151.60 

.92 

8973.22 

2.66 

8626.25 

4.28 

8125.18 

5.73 

.45 

9153.99 

.85 

9150.68 

.94 

8970.56 

2.67 

8621.97 

4.29 

8119.45 

5.74 

.46 

9154.84 

.84 

9149.74 

.95 

8967.89 

2.69 

8617.68 

4.31 

8113.71 

5.75 

.47 

9155.68 

.81 

9118.7!) 

.97 

8965.20 

2.70 

Mi  13.37 

1.33 

8107.96 

5.77 

.48 

9156.49 

.80 

9147.82 

.99 

8962.50 

2.72 

8609.04 

1.31 

8102.19 

5.78 

.49 

9157.29 

.78 

9146.83 

1.00 

81)59.78 

2.71 

8604.70 

4.86 

8096.41 

5.79 

.50 

9158.07 

-i-  .77 

911 

-1.02 

8957.01 

-2.76 

860().3:> 

—4.37 

8090.62 

—5.80 

100 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400 -j- 4586".9  sin.   (2<— *)  4-31".2  sin.  (4<  —  2*), 
Period,  31.81193574  days. 


Days.     15 

16 

17 

IS 

19 

Decimals 
of  a  Day. 

Equation. 

Oif. 

Equation. 

Dir 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dir. 

.50 

9158.07 

+  .77 

9145.83 

—1.02 

8957.04 

-2.76 

8600.35 

—4.37 

8090.62 

—5.80 

.51 

9158.84 

.74 

9144.81 

1.04 

8954.28 

2.77 

8595.98 

4.38 

8084.82 

5.82 

.52 

9159.58 

.73 

9143.77 

1.06 

8951.51 

2.79 

8591.60 

4.40 

8079.00 

5.83 

.53 

9160.31 

.71 

9142.71 

1.08 

8948.72 

2.80 

8587.20 

4.42 

8073.17 

5.85 

.54 

9161.02 

.69 

9141.63 

1.10 

8945.92 

2.83 

8582.78 

4.43 

8067.32 

5.86 

.55 

9161.71 

.68 

9140.53 

1.11 

8943.09 

2.84 

8578.35 

4.45 

8061.46 

5.87 

.56 

9162.39 

.65 

9139.42 

1.12 

8940.25 

2.85 

S573.<.0 

4.46 

8055.59 

5.88 

.57 

9163.01 

.64 

9138.30 

1.15 

8937,10 

2.88 

8569.44 

4.47 

80W.71 

5.90 

.58 

9163.68 

.62 

9137.15 

1.16 

8934.52 

2.89 

8564.97 

4.49 

8043.81 

5.91 

.59 

9164.30 

.60 

9135.99 

1.19 

8931.63 

2.90 

8560.48 

4.51 

8037.90 

5.93 

.60 

9164.90 

.59 

9134.80 

1.20 

8928.73 

2.92 

8555.97 

4.52 

8031.97 

5.93 

.61 

9165.49 

.56 

9133.60    1.22 

8925.81 

2.94 

8551.45 

4.54 

8026.04 

5.95 

.62 

9166.05 

.55 

9132.38 

1.23 

8922.87 

2.96 

8546.91 

4.55 

8020.09 

5.97 

.63 

9166.60 

.53 

9131.15 

1.2-5 

8919.91 

2.98 

8542.36 

4.57 

8014.12 

5.97 

.64 

9167.13 

.51 

9129.90 

1.27 

8916.93 

2.99 

8537.79 

4.58 

8008.15 

5.99 

.65 

9167.64 

.50 

9128.63 

1.29 

8913.94 

3.00 

8533.21 

4.60 

8002.16 

6.00 

.66 

9168.14 

.48 

9127.34 

1.31 

8910.94 

3.03 

8528.61 

4.62 

7996.16 

6.02 

.67 

9168^62 

.46 

9126.03 

1.32 

8907.91 

3.0  [ 

8523.99 

4.63 

7990.14 

6.03 

.68 

9169.08 

.44 

9124.71 

1.34 

8904.87 

3.05 

8519.36 

4.64 

7984.11 

6.04 

.69 

9169.52 

.42 

9123.37 

1.36 

8901.82 

3.07 

8514.72 

4.65 

7978.07 

6.05 

.70 

9169.94 

.40 

9122.01 

1.37 

8898.75 

3.09 

8510.07 

4.67 

7972.02 

6.07 

.71 

9170.34 

.39 

9120.64 

1.40 

8895.66 

3.11 

8505.40 

4.69 

7965.95 

6.08 

.72 

9170.73 

.37 

9119.24 

1.41 

8892.55 

3.12 

8500.71 

4.70 

7959.87 

6.09 

.73 

9171.10 

.35 

9117.83 

1.43 

8889.43 

3.14 

8496.01 

4.72 

7953.78 

6.11 

.74 

9171.45 

.33 

9116.40 

1.44 

8886.29 

3.16 

8491.29 

4.73 

7947.67 

6.12 

.75 

9171.78 

.32 

9114.9T 

1.47 

8883.13 

3.17 

8486.56 

4.74 

7941.55 

6.13 

.76 

9172.10 

.30 

9113.49 

1.48 

8879.96 

3.19 

8481.82 

4.77 

7935.42 

6.14 

.77 

9172.40 

.28 

9112.01 

1.50 

8876.77 

3.21 

8477.05 

4.78 

7929.28 

6.16 

.78 

9172.68 

.26 

9110.57 

1.52 

R^7.?.5() 

3.20 

8472.27 

4.79 

7923.12 

6.17 

.79 

9172.94 

.24 

9108.99 

1.53 

8870.34 

3.24 

8467.48 

4.80 

7916.95 

6.18 

.80 

9173.18 

.23 

9107.46 

1.55 

8867.10 

3.25 

8462.68 

4.82 

7910.77 

6.19 

.81 

9173.41 

21 

(Ji05.91 

1.57 

8.J68.S5 

3.27 

8457.86 

4.S- 

7904.58 

6.21 

.82 

9173.62 

.19 

9104.34 

1.58 

8860.58 

3.29 

8453.02 

4.85 

7898.37 

6.22 

.83 

9173.81 

.17 

9102.76 

1.61 

8857.29 

3.31 

8448.17 

4.87 

7892.15 

6.23 

.84 

9173.98 

.15 

9101.15 

1.62 

8853.98 

3.32 

8443.30 

4.88 

7885.92 

6.24 

.85 

9174.13 

.14 

9099.53 

1.64 

8850.66 

3.33 

8438.42 

4.89 

7879.68 

6.26 

.86 

9174.27 

.12 

9097.89 

1.66 

8847.33 

3.36 

8433.53 

4.91 

7873.42 

6.27 

.87 

9174.39 

.10 

9096.23 

1.67 

8843.97 

3.37 

8428.62 

4.93 

7867.15 

6.28 

.88 

9174.49 

.08 

9094.56 

1.69 

8840.60 

3.38 

8423.69 

4.94 

7860.87 

6.29 

.89 

9174.57 

.07 

9092.87 

1.71 

8837.22 

3.40 

8418.75 

4.95 

7854.58 

6.31 

.90 

9174.64 

.05 

9091.16 

1.73 

8833.82 

3.42 

8413.80 

4.97 

T848.27 

6.32 

.91 

9174.69 

.03 

9089.43 

1.74 

8830.40 

3.44 

8408.83 

4.99 

7841.95 

6.33 

.92 

9174.72 

+  .01 

9087.69 

1.76 

8826.96 

3.45 

8403.84 

5.00 

7835.62 

6.34 

.93 

9174.73 

-  .01 

9085.93 

1.78 

8823.51 

3.47 

8398.84 

5.01 

7829.28 

6.35 

.94 

9174.72 

.03 

9084.15 

1.80 

8820.04 

3.48 

8393.83 

5.02 

7822.93 

6.37 

.95 

9174.69 

.04 

9082.35 

1.81 

8816.56 

3.50 

8388.81 

5.04 

7816.56 

6.38 

.96 

917465 

.06 

9080.54 

1.83 

8813.06 

3.52 

8383.77 

5.06 

7810.18 

6.39 

.97 

9174.59 

.08 

9078.71 

1.85 

8809.54 

3.53 

8378.71 

5.07 

7803.79 

6.40 

.98 

917451 

.10 

9076.86 

1.87 

8806.01 

3.55 

8373.64 

5.08 

7797.39 

6.42 

.99 

9174.41 

—  .11 

9074.99 

-1.88 

8802.46 

—3.57 

8368.56 

-5.10 

7790.97 

-6.43 

1.00 

L 

9174.30 

9073.11 

8798.89 

8363.46 

7784.54 

101 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400  -f-  4586".9  sin.  (2<  — z) -t-31".2  sin.  (4«  —  2x). 
Period,  31.81193574  days. 


Days.            2O 

21 

99 

23 

21 

Decimals 

ofii  F>.iy. 

Equation. 

Dif. 

Equal  ion. 

Dif. 

Equation. 

Dir. 

Equation. 

Dif. 

Equation. 

Dif. 

.00 

7781.51 

-6.45 

7084.88 

-7.51 

6291.42 

—8.30 

5  134.21 

-8.79 

45  15.3! 

-8.94 

.01 

7778.09|        6.45 

7077.37 

7.53 

6283.12 

8.32 

5425.42 

8.79 

4536.4! 

8.93 

.0-2 

7771.64 

6.46 

7069.84 

7.;>i 

0274.80 

8.32 

5416.63 

8.7! 

U527.K 

8.94 

.03 

7765.18 

6.48 

7062.30 

7.51 

6266.48 

8.33 

5107.81 

8.80 

4518.58 

8.93 

.04 

7758.70 

6.49 

7054.76 

7.56 

6258.15 

8.33 

5399.04 

8.80 

•1509.6a 

8.94 

.05 

7752.21 

6.50 

7017.20 

7.56 

6249.82 

8.34 

5390.24 

8.80 

4500.7 

8.93 

.06 

7745.71 

6.51 

7039.64 

7.58 

6241.48 

8.35 

5381.44 

8.80 

•1191.78 

8.94 

.07 

7739.80 

6.63 

7032.06 

7.58 

6233.13 

8.35 

537-->.(i  1 

8.81 

4482,8 

8.93 

.08 

7732.67 

6.53 

7024.48 

7.59 

6224.78 

8.36 

5363.8! 

8.81 

447:!.!) 

8.93 

.09 

7726.14 

6.55 

7016.89 

7.60 

6216.42 

8.37 

5355.02 

8.81 

4464.98 

8.94 

.10 

7719.59 

6.56 

7009.29 

7.62 

6208.05 

8.37 

5346.21 

8.82 

4456.0 

8.93 

.11 

7713.03 

6.57 

7001.67 

7.62 

6199.68 

8.37 

5337.3! 

8.82 

4447.1 

8.93 

.12 

7706.46 

6.59 

6994.05 

7.62 

6191.31 

8.3J 

5328.57 

8.82 

4438.18 

8.93 

.13 

7699.87 

6.59 

6986.43 

7.64 

6182.92 

8.39 

5319.7" 

8.83 

1  l-.29.-jr 

8.93 

.14 

7693.28 

6.61 

6978.79 

7.65 

6174.53 

8.39 

5310.92 

8.83 

4  120.32 

8.93 

.15 

7686.67 

6.62 

6971.14 

7.65 

61fifi.lt 

8.40 

5302.09 

8.82 

4411.39 

8.93 

.16 

7680.05 

6.63 

6963.49 

7.67 

6157.71 

8.41 

5293.27 

8.81 

410-J.  II 

8.93 

.17 

7673.42 

6.64 

6955.82 

7.67 

6149.33 

8.41 

6284.4! 

8.83 

4393.5! 

8.93 

.18 

7666.78 

6.66 

6948.15 

7.68 

6110.92 

8.42 

5275.1  K 

S.s| 

4381.(i( 

8.93 

.19 

7660.12 

6.66 

6940.47 

7.69 

6132.50 

8.42 

5266.76 

8.84 

4375.67 

8.92 

.20 

7653.46 

6.68 

6932.78 

7.71 

6124.08 

8.43 

5257.92 

8.84 

4366.75 

8.93 

.21 

7616.78 

6.69 

6925.07 

7.70 

6i  ir>.<;r> 

8.11 

.VJ  19.08 

8.85 

4357.82 

8,93 

.22 

7640.09 

6.70 

6917.37 

7.72 

6107.21 

8.44 

52  10.23 

8.85 

4348.89 

8,92 

.23 

7633.3!) 

6.71 

6909.65 

7.73 

6098.77 

8.44 

5231.38 

8.85 

4339.97 

8,92 

.24 

7626.68 

6.73 

6901.92 

7.73 

6090.33 

8.46 

5222.53 

8.85 

4331.05 

8.92 

.25 

7619.95 

6.73 

6894.19 

7.75 

6081.87 

8.46 

5213,68 

8.85 

4322.13 

8.92 

.26 

76  1SJ2S 

6.75 

688(1.  1  1 

7.75 

(1073,1  1 

8.46 

5204.83 

8.86 

4313.21 

8.92 

.27 

7601  i.n 

6.75 

6878.69 

7.76 

6064.95 

8.47 

5195.97 

8.86 

4304.29 

8.92 

.28 

7599.72 

6.78 

iiVTO.93 

7.77 

6056.48 

8.48 

5187.11 

8.86 

4295.37 

8i92 

.29 

7592.94 

6.78 

6868.16 

7.78 

60  18.00 

8.48 

5178.25 

8.87 

4286.45 

8.92 

.30 

7586.16 

6.79 

6855.38 

7.79 

6039.52 

8.48 

5169.38 

8.86 

4277.53 

8.92 

.31 

7579.37 

(i.80 

6847.59 

7.79 

6031.04 

N.I!) 

5160.52 

8.87 

42fi8.fi  1 

8.91 

.3-J 

757-'.:.7 

6.82 

6639.80 

7.81 

6022.55 

8.50 

5151.65 

8.87 

4259,7( 

8.91 

.33 

7565.75 

6.82 

6831.!)!) 

7.81 

601  i.or. 

8.50 

5  1  12.78 

8>7 

4250.79 

8.91 

.34 

7558.93 

6.84 

6824.18 

'  >-J 

6005.55 

8.51 

5133.!)  1 

8.88 

194,1.88 

8.91 

.35 

75.VJ.09 

6.85 

6816.36 

7.83 

5997.04 

8.5  i 

5125.03 

8.88 

4232.97 

8.91 

.36 

75  15.2  I 

6,86 

6808.63 

7.83 

5988.53 

8.5'J 

5116.15 

8.87 

4224.06 

8.91 

.37 

7.->:ix:(s 

fi.N7 

6800.70 

7.85 

6980.01 

8.52 

5107.28 

9.89 

1215.15 

8.91 

.38 

7531.51 

6.88 

679235 

7.85 

5971.49 

N.53 

5098.39 

8.88 

1206.24 

8.00 

.39 

7624.63 

6.89 

6785.00 

7.87 

5962.96 

8.5  1 

5089.51 

8.88 

4197.34 

8.91 

.40 

7517.74 

6.91 

6377,13 

7.87 

5954.42 

8.53 

.-.080.63 

8.SII 

4188.  in 

8.90 

.41 

761CL83 

6.91 

6769.26 

7.88 

6945.89 

S..V, 

5071.71 

8.s:i 

4179.53 

8.90 

.42 

7503.92 

6.93 

6761.38 

7.88 

5937.31 

s.:-.-, 

5062.85 

8.8(1 

4170.63 

8.90 

M 

7I9<;.!»9 

6.93 

6753.50 

7.!)() 

5928.79 

s.:,r, 

5053.96 

8.89 

4161.73 

8.90 

.44 

7490.06 

6.95 

67  15.60 

7.90 

5920.-J  1 

8.56 

5045.01 

8.89 

4J52^3 

8.90 

.45 

7IS3.11 

6.96 

8787.70 

7.!)-,' 

Q011.68 

8.56 

5036.18 

8.110 

1  1  13.93 

8.89 

.46 

7  176.15 

11.97 

C729.78 

7.91 

5903.12 

8.57 

5027.28 

8.89 

ii  :!.->.()  1 

8.8!) 

.47 

71U9.18 

tl.!is 

6731.87 

7.!t:t 

5894.55 

8.57 

5018.39 

8.90 

4126.15 

8.89 

.48 

7  Ki'J.-JO 

6.99 

6713.94 

7.93 

5885.98 

s.;,s 

5009.49 

8.!IO 

4117.26 

8.8!) 

.49 

7155.21 

7.01 

6706.01 

7.!):> 

5877.  10 

8.59 

.-,000.-,!) 

S.ilO 

4108.37 

8.8!) 

.50 

:  n-vjo 

-7.01 

669846 

-7.95 

5868.81 

-8.58 

1991.69 

—8.90 

101)9.48 

-8.88 

I 

I 

102 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400  +  4586",9  sin.  (2t  —  ac)  +  31".2  sin.  (4/  —  Zx). 
Period,  31.81193574  days. 


Days.     QO 

21 

32 

23 

•   34 

Deelmala 

of  a  Day. 

Equation. 

Dif. 

£  liiation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

.50 

7448.20   -7.01 

6698.06 

-7.95 

5868".81 

-8.58 

4991.69 

-8.90 

4099".48 

—  aes 

.51 

7441.19    7.02 

6690.11 

7.96 

5860.23 

8.60 

4982.79 

'8.91 

4090.60 

asg 

.52 

7434.17    7.01 

6682.15 

7.96 

5851.63 

8.59 

4973.88 

8.91 

4081.71 

8.88 

.53 

7127.13    7.04 

6674.19 

7.98 

5843.04 

8.61 

4964.97 

8.90 

4072.83 

8.88 

.54 

7420.09 

7.06 

6666.21 

7.98 

5834.43 

8.60 

4956.07 

8.91 

4063.95 

8.88 

.55 

7413.03 

7.06 

6658.23 

7.99 

5825.83 

8.61 

4947.16 

8.91 

4055.07 

8.87 

.56 

7405.97J    7.08 

6650.24 

8.00 

5817.22 

8.62 

4938.25 

8.91 

404G.20 

8.87 

.57 

7398.S9 

7.09 

66  12.24 

8.01 

5808.60 

8.62 

4:  (29.31    8.92 

4037.33 

8.88 

.58 

7391.80 

7.10 

6634.23 

8.01 

5799.98 

8.63 

4920.42 

8.91 

4028.45 

8.87 

.59 

7381.70 

7.11 

6626.22 

8.02 

5791.35 

8.63 

4911.51 

8.91 

4019.58 

8.87 

.60 

7377.59 

7.12 

6618.20 

8.03 

5782.72 

8.63 

4902.60 

8.92 

4010.71 

8.86 

.61 

7370.47 

7.13 

66W.17I    8.03 

5774.09 

8.64 

4893.68 

8.92 

4001.85 

8.86 

.62 

7363.34 

7.14 

6602.14    8.04 

5765.45 

8.64 

4884.76 

8.91 

3992.99 

8.86 

.63 

7356.20 

7.15 

6594.10    8.06 

5756.81 

8.65 

4875.85 

8.92 

3984.13 

8.86 

.64 

7349.05 

7.16 

6586.04 

8.06 

5748.16 

8.65 

4866.93 

8.92 

3975.27 

8.86 

.65 

7341.89 

7.17 

6577.98 

8.07 

5739.51 

8.66 

4858.01 

8.93 

3966.41 

8.85 

.66 

7334.72 

7.18 

6569.91 

8.07 

5730.85 

8.66 

4849.08 

8.92 

3957.56 

8.85 

.67 

7327.54 

7.20 

6561.84 

8.08 

5722.19 

8.6G 

4840.16 

8.92 

3948.71 

8.85 

.68 

7320.34 

7.20 

6553.76 

8.09 

5713.53 

8.67 

4831.24 

8.92 

3939.86 

8.85 

.69 

7313.14 

7.21 

6545.67 

8.10 

5704.86 

8.67 

4822.32 

8.93 

3931.01 

8.85 

.70 

7305.93 

7.23 

6537.57 

8.10 

539G.19 

8.08 

4313.39 

8.93 

3922.16 

8.84 

.71 

7298.70 

7.23 

6529.47 

8.11 

5687.51 

8.68 

4804.46 

8.92 

3913.32 

8.84 

.72 

7291.47 

7.25 

6521.36 

8.12 

5678.83 

8.69 

4795.54 

8.93 

3904.48 

8.84 

.73 

7284.22 

7.25 

6513.24 

8.12 

5670.14 

8.69 

4786.61 

8.93 

3895.64 

8.83 

.74 

7276.97 

7.26 

6505.12 

8.14 

5661.45 

8.69 

4777.68 

8.93 

3886.81 

8.83 

.75 

7269.71 

7.28 

649G.9S 

8.11 

5652.76 

8.70 

4718.75 

s.gn 

3877.9^ 

8.83 

.76 

7262.43 

7.28 

6488.84 

8.14 

5644.06 

8.70 

4759.82 

8.93 

3869.15 

8.83 

.77 

7255.15 

7.30 

6480.70 

8.16 

5635.36 

8.70 

4750.89 

8.93 

3860.32 

8.82 

.78 

7247.85 

7.31 

6472.5  ' 

8.16 

r.'v.'A'i'j 

8.7! 

4741.96 

8.93 

3851.50 

8.82 

.79 

7210.51 

7.32 

6464.38 

8.10 

5ol7.bo 

8.72 

4733.03 

8.93 

3842.68 

8.82 

.80 

7233.22 

7.S2 

6456.2<>. 

8.18 

5609.23 

8.72 

4724.10 

8.9  1 

3833.86 

8.82 

.81 

722590 

7.3! 

6  i  18.0  1 

8.18 

r>  ;;><>.  5i 

8.72 

1715.16 

!  .9-5 

3825.04 

8.81 

.82 

7218.57 

7.35 

6439.86 

8.19 

5591.79 

8.72 

4706.23 

8.93 

3816.23 

8.81 

.83 

7211.22 

7.35 

6431.67 

8.20 

5583.07 

8.73 

4697.30 

8.94 

3807.42 

8.81 

.84 

7203.87 

7.36 

6423.47 

8.20 

5574.34 

8.73 

4688.36 

8.93 

3798.61 

8.80 

.85 

7196.51 

7.38 

6415.27 

8.21 

5565.61 

8.74 

4679.43 

8.94 

3789.81 

8.80 

.86 

7189.13 

7.38 

6407.06 

8.22 

5556.87 

8.74 

4670.49 

8.93 

3781.01 

8.80 

.87 

7181.75 

7.39 

6398.84 

8.22 

5548.13 

8.74 

4661.56 

8.94 

3772.21 

8.79 

.88 

7174.36 

7.40 

6390.62 

8.23 

5539.39 

8.75 

4652.62 

8.93 

3763.42 

8.79 

.89 

7166.96 

7.42 

6382.39 

8.24 

5530.64 

8.75 

4643.69 

8.94 

3754.63 

8.79 

.90 

7159.54 

7.42 

6374.15 

8.24 

5521.89 

8.75 

4634.75 

8.93 

3745.84 

8.79 

.91 

7152.12 

7.43 

6335.91 

8.25 

5513.14 

8.76 

4625.82 

8.94 

3737.05 

8.78 

.92 

7141.69 

7.44 

6357.66 

8.26 

5504.38 

8.76 

4616.88 

8.94 

3728.27 

8.78 

.93 

7137.25 

7.45 

6349.40 

8.26 

5495.62 

8.76 

4607.94 

8.93 

3719.49 

8.77 

.94 

7129.80 

7.46 

6341.14 

8.27 

5486.86 

8.77 

4599.01 

8.94 

3710.72 

8.77 

.95 

7122.34 

7.48 

6332.87 

8.28 

5478.09 

8.77 

4590.07 

8.94 

3701.95 

8.77 

.96 

7114.86 

7.48 

6324.59 

8.28 

5469.32 

8.77 

4581.13 

8.93 

3693.18 

8.77 

.97 

7107.38 

7.49 

6316.31 

8.29 

5460.55 

8.78 

4572.20 

8.94 

3684.41 

8.76 

.98 

7099.89 

7.50 

'  6308.02 

8.29 

•SW51.77 

8.78 

4563.26 

8.93 

3675.65 

8.76 

.99 

7092.39 

-7.51 

6299.73 

—8.31 

5442.99 

-8.78 

4554.33 

-8.94 

3666.89 

—8.75 

1.00 

7084.88 

6291.42 

5434.21 

4545.39 

3658.14 

103 


TABLE  VII.    ARGUMENT  2. 


Equation  =  4587".400  -f  4586".9  sin.  (2t  —  x)  +  3l".2  sin.  (4t  —  2*). 
Period,  31.81193574  days. 


Days.           23 

96 

ar 

28 

29 

Decimals 
of  a  Day 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif. 

Equation. 

Dif 

Et]uation. 

Dif. 

.00 

3658.14 

-8.76 

2805.57 

-8.24 

2019.69 

—7.42 

1330.30 

—6.31 

763.97 

-4.96 

.01 

36  19.38 

8.75 

2797.33 

8.23 

2012.27 

7.41 

1323.99 

6.30 

759.01 

4.95 

.02 

3640.63 

8.74 

2789.10 

8.23 

2004.86 

7,10 

1317.69 

6.29 

754.06 

4.93 

.03 

3631.89 

8.74 

2780.87 

8.22 

1997.46 

7.39 

1311.40 

6.28 

749.13 

4.92 

.04 

3623.15 

8.74 

2772.65 

8.21 

1990.07 

7.38 

1305.12 

6.26 

744.31 

4.91 

.05 

3614.41 

8.73 

2764.44 

8.21 

1982.69 

7.36 

1298.86 

6.25 

739.30 

4.89 

.06 

3605.68 

8.73 

2756.23 

8.20 

1975.33 

7.36 

1292.61 

6.24 

731.11 

4.87 

.07 

3596.95 

8.73 

2748.03 

8.19 

1967.97 

7.35 

1286.37 

6.23 

729.51 

4.86 

.08 

3588.22 

8.72 

2739.84 

8.19 

1960.62 

7.35 

1280.14 

6.21 

724.68 

4.85 

.09 

3579.50 

8.72 

2731.65 

8.18 

1953.27 

7.33 

1273.93 

6.20 

719.83 

4.82 

.10 

3570.78 

8.72 

2723.47 

8.17 

1945.94 

7.32 

1267.73 

6.19 

715.01 

4.82 

.11 

3562.06 

8.71 

2715.30 

8.17 

1938.62 

7.31 

1261.51 

6.18 

710.19 

4.80 

.12 

3553.35 

8.71 

2707.13 

8.'16 

1931.31 

7.30 

1255.36 

6.16 

705.39 

4.79 

.13 

3544.64 

8.70 

2698.97 

8.15 

1924.01 

7.29 

1249.20 

6.15 

700.60 

4.77 

.14 

3535.94 

8.70 

2690.82 

8.14 

1916.72 

7.28 

1243.05 

6.14 

695.83 

4.76 

.15 

3527.24 

8.69 

2682.68 

8.14 

1909.44 

7.27 

1236.91 

6.13 

691.07 

4.73 

.16 

3518.55 

8.69 

2674.54 

8.12 

1902.17 

7.26 

1230.78 

6.11 

686.34 

4.73 

.17 

3509.86 

8.69 

2666.42 

8.13 

1894.91 

7.25 

1224.67 

6.10 

681.61 

4.71 

.18 

3501.17 

8.69 

2658.29 

8.11 

1887.66 

7.24 

1218.57 

6.09 

676.90 

4.70 

.19 

3492.48 

8.68 

2650.18 

8.11 

1880.42 

7.23 

1212.48 

6.07 

672.20 

4.68 

.20 

3483.80 

8.67 

2642.07 

8.10 

1873.19 

7.22 

1206.41 

6.06 

667.52 

4.67 

.21 

3475.13 

8.68 

2633.97 

8.09 

1865.97 

7.21 

1200.35 

6.05 

662.85 

4.65 

.22 

3466.45 

8.66 

2625.88 

8.09 

1858.76 

7.20 

1194.30 

6.04 

658.20 

4.63 

.23 

3457.79 

8.67 

2617.79 

8.08 

1851.56 

7.18 

1  188.26 

6.02 

653.57 

4.63 

.24 

3449.12 

8.65 

2609.71 

8.07 

1844.38 

7.18 

1182.24 

6.01 

648.94 

4.60 

.25 

3440.47 

8.66 

2601.64 

8.06 

1837.20 

7.17 

1176.23 

6.00 

644.34 

4.59 

.26 

3431.81 

8.65 

2593.58 

8.06 

1830.03 

7.16 

1170.23 

5.98 

639.75 

4.58 

.27 

3123.16 

8.64 

258552 

805 

1822.87 

7.1.r> 

1161.25 

5.97 

635.17 

4.56 

.28 

3  U  4.52 

8.64 

2577.47 

8.04 

1815.72 

7.13 

115M.2S 

6.96 

630.61 

4.55 

.29 

3405.88 

8.64 

2569.43 

8.03 

1808.59 

7.13 

1152.32 

5.95 

626.06 

4.63 

.30 

3397.24 

8.63 

2561.10 

8.03 

1801.46 

7.11 

1140.37 

5.93 

621.53 

4.51 

.31 

3388.61 

8.63 

2553.37 

8.01 

1794.35 

7.11 

1  140.44 

5.90 

617.02 

i.r.i 

.32 

3379.98 

8.63 

25ir>.3(i 

8.01 

1787.24 

7.09 

1131.51 

5.92 

612.51 

4.  IN 

.33 

3371.35 

8.82 

2537.35 

8.01 

1780.15 

7.0!) 

1  12M.C2 

6.89 

608.03 

4.48 

.34 

3362.73 

8.61 

2529.34 

7.99 

1773.06 

7.07 

1122.73 

5.88 

603.55 

4.45 

.35 

3351.12 

8.61 

2521.3.-) 

7.99 

1765.99 

7.06 

1116.85 

5.S7 

599.10 

l.ll 

.:«; 

33i:>.:>i 

8.60 

2513.86 

7.98 

1768.96 

7.06 

1110.98 

5.85 

5!)  l.fili 

1.12 

.37 

3:«3<;.!ii 

8.60 

2605.88 

7.97 

1751.87 

7.01 

1106.18 

5.N  I 

690.24 

l.ll 

.38 

332V3I 

8.60 

2497.41 

7.96 

1744.68 

7.03 

1099.99 

f).H3 

685.88 

•1.3!) 

.39 

3319.71 

8.59 

248!).  ir> 

7.96 

1737.80 

7.02 

1093.  It! 

5.81 

5s  1  .  1  1 

•I.3N 

.40 

3311.12 

9.69 

2481.48 

7.98 

1730.78 

7.01 

1087.66 

6.80 

577.(Hi 

4.37 

.41 

3:«>2.r.3 

8.66 

2473.64 

7.91 

1723.77 

<;.!)!) 

1081.88 

5.7!) 

572.69 

1.31 

.42 

32!)3.ic> 

8.57 

2465.60 

7.1)3 

1716.78 

(I.!)!) 

1076.06 

5.77 

668.85 

4.34 

.13 

8886.88 

2457.67 

7.!)3 

1709.79 

g.98 

1070.29 

5.76 

664.01 

4.31 

.44 

3276.8  1 

8.57 

•_'  1  19.74 

7.91 

1702.81 

6.96 

1061.53 

5.7.') 

669.70 

4.30 

.45 

32i  Iv.'l 

8.56 

•Jill.  S3 

7.91 

1CW.86 

6.96 

1058.78 

5.73 

:,.-,:..  10 

4.29 

.it; 

8359.68 

8.66 

2438.9(2 

7.!)2 

l(iss>!(          «;.<!  | 

10)3.08 

5.72 

551.11 

4.27 

.47 

32:.  i.i-.' 

8.55 

2426.08 

7  -!» 

1681.95     .•   (1.1)3 

1017.33 

5.71 

546.84 

4.26 

.4fi 

32I2..Y7 

8.68 

2418.18 

7.89 

lli7:i.<T_'*        (i.!)2 

104L63 

6.69 

5  12.58 

4.24 

.49 

323102 

•V.M 

','110.24 

7.K7 

1668.10 

<;.!>! 

1086.98 

5.68 

538.3  1 

4.22 

.50 

9085.48 

-8.51 

2102.37 

-7.87 

1661.19 

-6.90 

1030.25 

-5.67 

534.12 

-4.21 

101 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400 -f  4586".9  sin.  (2t  —  x)  +  31".2  sin.  (4t  — 
Period,  31.81193574  days. 


Days.     23 

3G 

37 

38 

39 

Decimals 

i>f  a  Day. 

Kquiuiim. 

Dif. 

Equation. 

Dif. 

Equal  tod. 

Dir 

Equation. 

Dir 

Equation. 

Dif. 

.50 

32^:>.  is 

-8.51 

2402.37 

-7.87 

1661.1! 

-6.90 

1830.Q 

-5.6 

534.1 

-4.21 

.51 

3216.91 

8.53 

2394.50 

7.86 

1654.29 

6.89 

HB4.5 

5.6 

529.9 

4.19 

.52 

3208.41 

8.53 

2386.64 

7.85 

1647.4C 

6.88 

1018.9 

5.6 

525.7 

4.18 

.53 

3199.88 

8.52 

2378.79 

7.84 

W40.52 

6.86 

1013.2 

5.6 

521.5 

4.16 

.54 

3191.36 

8.51 

2370.95 

7.83 

1633.66 

6.86 

1007.6 

5.6 

517.3 

4.15 

.55 

3182.85 

8.50 

2363.12 

7.83 

1626.80 

6.8 

1002.0 

5.5 

513.2 

4.13 

.56 

3174.35 

8.52 

2355.29 

7.82 

1619.96 

6.8 

996.4 

5.5 

509.1 

4.11 

.57 

3165.83 

8.50 

2347.47 

7.80 

1613.12 

6.82 

990.8 

5.5 

504.9 

4.11 

.58 

3157.33 

8.49 

2339.67 

7.80 

1606.30 

6.81 

985.3 

5.5 

500.8 

4.08 

.59 

3148.84 

8.49 

2331.87 

7.80 

1599.49 

6.80 

979.7 

5.54 

496.8 

4.07 

.60 

8140.35 

8.49 

2324.07 

7.78 

1592.69 

6.78 

974.20 

5.53 

492.7 

4.05 

.61 

3131.86 

8.47 

2316.29 

7.78 

1585.91 

6.78 

968.6" 

5.52 

488.6 

4.04 

.62 

3123.39 

8.48 

2308:51 

7.76 

1579.13 

6.76 

963.15 

5.50 

484.6 

4.02 

.63 

3114.91 

8.46 

2300.75 

7.76 

1572.37 

6.76 

957.6. 

5.49 

480.6 

4.01 

.64 

3106.45 

8.46 

2292.99 

7.75 

1565.61 

6.74 

952.16 

5.47 

476.6 

3.98 

.65 

3097.99 

8.46 

2285.24 

7.74 

1558.87 

6.73 

946.69 

5.46 

472.6 

3.98 

.66 

3089.53 

8.45 

2277.50 

7.73 

1552.14 

6.72 

941.23 

5.45 

468.6 

3.96 

.67 

3081.08 

8.45 

2269.77 

7.72 

1545.42 

6.71 

935.78 

5.43 

464.6 

3.94 

.68 

3072.63 

8.44 

2262.05 

7.72 

1538.71 

6.69 

930.35 

5.42 

460.7 

3.93 

.69 

3064.19 

8.43 

2254.33 

7.70 

1532.02 

6.69 

924.93 

5.40 

456.8 

3.91 

.70 

3055.76 

8.43 

2246.63 

7.70 

1525.33 

6.67 

919.53 

5.39 

452.9 

3.89 

.71 

3047.33 

8.42 

223893 

7.69 

1518.66 

6.66 

914.14 

5.39 

449.02 

3.88 

.72 

3038.91 

8.42 

2231.24 

7.68 

1512.00 

6.65 

908.75 

5.35 

445.1 

3.87 

.73 

3030.49 

8.41 

2223.56 

7.67 

1505.35 

6.64 

903.40 

5.35 

441.27 

3.84 

.74 

3022.08 

8.40 

2215.89 

7.66 

1498.71 

6.62 

898.05 

5.34 

437.4. 

3.83 

.75 

3013.68 

8.40 

2208.23 

7.65 

1492.09 

6.62 

892.71 

5.32 

433.60 

3.82 

.76 

3005.28 

8.39 

2200.58 

7.64 

1485.47 

6.60 

887.39 

5.31 

429.78 

3.80 

.77 

2996.89 

8.38 

2192.94 

7.64 

1478.87 

6.59 

882.08 

5.29 

425.98 

3.78 

.78 

2988.51 

8.38 

2185.30 

7.62 

1472.28 

6.58 

876.79 

5.28 

422.20 

3.77 

.79 

2980.13 

8.38 

2177.68 

7.62 

1465.70 

6.57 

871.51 

5.26 

418.43 

3.75 

.80 

2971.75 

8.37 

2170.06 

7.60 

1459.13 

6.56 

866.25 

5.25 

414.68 

3.74 

.81 

2963.38 

8.36 

2162.46 

7.60 

1452.57 

6.54 

861.00 

5.24 

410.94 

3.72 

.82 

2955.02 

8.36 

2154.86 

7.59 

1446.03 

6.53 

855.76 

5.22 

407.22 

3.70 

.83 

2946.66 

8.35 

2147.27 

7.58 

1439.50 

6.52 

850.54 

5.20 

403.52 

3.69 

.84 

2938.31 

8.34 

2139.69 

7.57 

1432.98 

6.51 

845.34 

520 

399.83 

3.67 

.85 

2929.97 

8.34 

2132.12 

7.5P 

1426.47 

6.49 

810.14 

5.18 

396.16 

3.65 

.86 

2921.63 

8.33 

2124.56 

7.55 

1419.98 

6.49 

834.96 

5.16 

392.51 

3.64 

.87 

2913.30 

8.33 

2117.01 

7.55 

1413.49 

6.47 

829.80 

5.15 

388.87 

3.62 

.88 

2904.!)7 

8.32 

2109.46 

7,53 

1407.02 

6.46 

824.65 

5.14 

385.25 

361 

.89 

2896.65 

8.31 

2101.93 

7.52 

1400.56 

6.45 

819.51 

5.12 

381.64 

3.59 

.90 

2888.34 

8.31 

2094.41 

7.52 

1394.11 

6.43 

814.39 

5.11 

378.05 

3.58 

.91 

2880.03 

8.30 

2086.89 

7.50 

1387.68 

6.43 

809.28 

5.09 

374.47 

3.56 

.92 

2871.73 

8.29 

2079.39 

7.50 

1381.25 

6.41 

804.19 

5.08 

370.91 

3.54 

.93 

2863.44 

8.29 

2071.89 

7.48 

1374.84 

6.40 

799.11 

5.06 

367.37 

3.53 

.94 

2855.15 

8.28 

2064.41 

7.48 

1368.44 

6.38 

794.05 

5.05 

363.84 

3.51 

.95 

2846.87 

8.27 

2050.93 

7.47 

1362.06 

6.38 

78900 

5.04 

360.33 

3.49 

.96 

2838.60 

8.27 

2049.46 

7.45 

1355.68 

6.36 

783.96 

5.02 

356.84 

3.48 

.97 

2830.33 

8.26 

2042.01 

7.45 

1349.32 

6.35 

778.94 

5.00 

353.36 

3.46 

.98 

2822.07 

8.25 

2031.56 

7.44 

1342.97 

6.34 

773.94 

4.99 

349.90 

3.44 

.99 

2813.82 

—8.25 

2027.12 

-7.43 

1336.63 

-6.33 

768.95 

-4.98 

346.46 

-3.43 

1.00 

2805.57 

2019.69 

1330.30 

763.97 

343.03 

105 


TABLE  VII.    ARGUMENT  2. 

Equation  =  45S7".400 -f- 4586".9  sin.  (2t— x)  +  3P.2  sin.  (4t  —  2*). 
Period,  31.81193574  days. 


Days.                                            3O 

31 

Decimals 
of  a  Day. 

Equation. 

Difference. 

Equation. 

Difference. 

.00 

346.03 

-3.41 

84".67 

-1.72 

.01 

339.62 

3.40 

82.95 

1.70 

.02 

336.22 

3.38 

81.25 

1.69 

.03 

332.84 

3.36 

79.56 

1.66 

.04 

329.48 

3.35 

77.90 

1.66 

.05 

326.13 

3.33 

76.24 

1.63 

.06 

322.80 

3.31 

74.61 

1.61 

.07 

319.49 

3.30 

73.00 

1.60 

.08 

316.19 

3.28 

71.40 

1.58 

.09 

312.91 

3.27 

69.82 

1.56 

.10 

309.64 

3.25 

68.26 

1.54 

.11 

306.39 

3.23 

66.72 

1.53 

.12 

303.16 

3.22 

65.19 

1.51 

.13 

299.94 

3.19 

63.68 

1.49 

.14 

296.75 

3.19 

62.19 

1.48 

.15 

293.56 

.      3.16 

60.71 

1.45 

.16 

290.40 

3.15 

59.26 

1.44 

.17 

287.25 

3.14 

57.82 

1.42 

.18 

284.11 

3.11 

56.40 

1.41 

.19 

281.00 

3.10 

54.99 

1.38 

50 

277.90 

3.08 

53.61 

1.37 

.21 

274.82 

3.07 

52.24 

1.35 

.22 

271.75 

3.05 

50.89 

1.34 

53 

268.70 

3.03 

49.55 

1.31 

.24 

265.67 

3.02 

48.24 

1.30 

55 

262.65 

3.00 

46.94 

1.28 

.26 

259.65 

2.98 

45.66 

1.27 

57 

256.67 

2.97 

44.39 

1.24 

58 

253.70 

2.95 

43.15 

1.23 

59 

250.75 

2.93 

41.92 

1.21 

.30 

247.82 

2.92 

40.71 

1.19 

.31 

244.90 

2.90 

39.52 

1.18 

.32 

242.00 

2.88 

38.34 

1.15 

.33 

239.12 

2.87 

37.19 

1.14 

.34 

236.25 

2.85 

36.05 

1.13 

.35 

233.40 

2.83 

34.92 

1.10 

.36 

230.57 

2.82 

33.82 

1.09 

.37 

227.75 

2.80 

32.73 

1.07 

.38 

224.95 

2.78 

31.66 

1.05 

.39 

222.17 

2.77 

30.61 

1.03 

.40 

219.40 

2.74 

29.58 

1.02 

.41 

216.66 

2.74 

28.56 

1.00 

.42 

213.92 

2.71 

27.56 

.98 

.43 

211.21 

2.70 

26.58 

.96 

.44 

208.51 

2.68 

25.62 

.94 

.45 

205.83 

2.65 

24.68 

.93 

.46 

203.18 

2.64 

23.75 

.91 

.47 

200.54 

2.63 

22.84 

.89 

.48 

1!)7.91 

2.62 

21.95 

.88 

.49 

195.29 

2.62 

21.07 

.85 

.50 

192.67 

-2.58 

20.22 

.  -  .84 

106 


TABLE  VII.    ARGUMENT  2. 

Equation  =  4587".400  -f  4586".9  sin.  (2«  — x)  +  31".2  sin.  (4i  — 2*). 
Period,  31.81193574  days. 


Days.                                                 SO 

31 

Pficimala 
of  a  Day. 

Equation. 

Difference. 

Equation. 

Difference. 

.50 

192.67 

—2.58 

20.22 

—.84 

.51 

190.09 

2.56 

19.38 

.82 

.52 

187.53 

2.54 

18.56 

.80    • 

.53 

184.99 

2.53 

17.76 

.79 

.54 

182.46 

2.51 

16.97 

.77 

.55 

179.95 

2.50 

16.20 

.75 

.56 

177.45 

2.48 

15.45 

.73 

.57 

174.97 

2.46 

14.72 

.71 

.58 

172.51 

2.44 

14.01 

.70 

.59 

170.07 

2.42 

13.31 

.67 

.60 

167.65 

2.41 

12.64 

.67 

.61 

165.24 

2.40 

11.97 

.64 

.62 

162.84  * 

2.37 

11.33 

.62 

.63 

160.47 

2.36 

10.71 

.61 

.64 

158.11 

2.34 

10.10 

.59 

.65 

155.77 

2.33 

9.51 

.57 

.66 

153.44 

2.31 

8.94 

.56 

.67 

151.13 

2.29 

8.38 

.53 

.68 

148.84 

2.27 

7.85 

.52 

.69 

146.57 

2.25 

7.33 

.50 

.70 

144.32 

2.25 

6.83 

.48 

.71 

142.07 

2.22 

6.35 

.47 

.72 

139.85 

2.20 

5.88 

.44 

.73 

137.65 

2.19 

5.44 

.43 

.74 

135.46 

2.17 

5.01 

.41 

.75 

133.29 

2.15 

4.60 

.40 

.76 

131.14 

2.14 

4.20 

.37 

.77 

129.00 

2.12 

3.83 

.36 

.78 

126.88 

2.10 

3.47 

.34 

.79 

124.78 

2.08 

3.13 

.32 

.80 

122.70 

2.06 

2.81 

.30 

.81 

120.64 

2.05 

2.51 

.29 

.82 

118.59 

2.04 

2.22 

.27 

.83 

116.55 

2.01 

1.95 

.25 

.84 

114.54 

2.00 

1.70 

.23 

.85 

112.54 

1.98 

1.47 

.21 

.86 

110.56    - 

1.96 

1.26 

.20 

.87 

108.60 

1.94 

1.06 

.18 

.88 

106.66 

1.93 

.88 

.16 

.89 

104.73 

1.91 

.72 

.14 

1.89 

.90 

102.82 

.58 

.12 

.91 

100.93 

1.88 

.46 

.11 

.92 

99.05 

1.86 

.35 

.09 

.93 

97.19 

1.84 

.26 

.08 

.94 

95.35 

1.82 

.18 

.05 

.95 

93.53 

1.81 

.13 

.03 

.96 

91.72 

1.79 

.10 

-.02 

.97 

89.93 

1.77 

.08 

.00 

.98 

88.16 

1.76 

.08 

+.02 

.99 

86.40 

-1.73 

.10 

+.03 

1.00 

84.67 

.13 

107 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02  —  122".l  sin.  I  +  2371".0  sin.  2t  -f  0".9  sin.  3t  -f  14".4  sin.  4<. 

Period,  29.530587997  days. 


Days.             O 

1 

3 

• 

4 

S 

uf  a  Day. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

MB 

Equation. 

Diflr. 

Equation. 

Diff 

Equation. 

Dim 

.00 

2211.80 

10.42 

3243.69 

9.91 

4133.61 

7.61 

4723.41 

3.98 

4913.02 

0.28 

4676.85 

4.41 

.01 

2222.22 

10.42 

3253.60 

989 

4141.22 

7.58 

4727.39 

3.94 

4912.74 

0.32 

4673.44 

4.44 

.02 

2232.6  1 

10.42 

3263  i!) 

9.87 

4148.80 

7.55 

4731.33 

3.91 

4912.42 

0.36 

1668.00 

4.48 

.03 

2243.06 

10.43 

3273.36 

9.85 

4156.35 

7.51 

4735.24 

3.86 

4912.06 

0.40 

1663.52 

4.52 

.04 

2253.49 

10.43 

3283.21 

9.84 

4163.86 

7.48 

4739.10 

3.82 

4911.66 

0.45 

4659.00 

4.55 

.05 

2263.92 

10.44 

3293.05 

9.83 

4171.34 

7.45 

4742.92 

3.78 

4911.21 

0.49 

4654.45 

4.59 

.06 

2274.36 

10.44 

3302.88 

9.81 

4178.79 

7.42 

17  16.70 

3.71 

4910.72 

0.54 

4648.86 

4.63 

.07 

2284.80 

10.44 

3312.69 

9.80 

4186.21 

7.39 

4750.44 

3.70 

4910.18 

0.58 

4645.23 

4.67 

.08 

2295.24 

10.45 

3322.49 

9.78 

4193.60 

7.36 

4751.11 

3.66 

4909.60 

0.62 

1640.56 

4.70 

.09 

2305.69 

10.44 

3332.27 

9.76 

4200.96 

7.33 

4757.80 

3.62 

4908.98 

0.66 

4686.86 

4.74 

.10 

2316.13 

10.45 

3342.03 

9.74 

4208.29 

7.30 

4761.42 

3.57 

4908.32 

0.71 

4631.12 

4.78 

.11 

2326.58 

10.45 

3861.77 

9.73 

4215.59 

7.26 

4764.99 

3.52 

4907.61 

0.75 

4626.34 

4.82 

.12 

2337.03 

10.46 

3361.50 

9.71 

4222.85 

7.23 

4768.51 

3.49 

4906.86 

0.79 

4621.52 

4.85 

.13 

2317.1!) 

10.46 

3371.21 

9.70 

4230.08 

7.19 

4772.00 

3.45 

4906.07 

O.HI 

4616.67 

4.89 

.14 

2357.95 

10.45 

3380.91 

9.68 

4237.27 

7.16 

4775.45 

3.41 

4905.23 

0.88 

4611.78 

4.93 

.15 

2368.40 

10.46 

3390.59 

9.66 

4244.43 

7.13 

4778.86 

3.37 

4904.35 

0.92 

4606.85 

4.97 

.16 

2378.86 

10.47 

3  100.25 

9.65 

4251.56 

7.11 

4782.23 

3.32 

4903.43 

0.96 

4601.88 

5.00 

.17 

2389.33 

10.46 

3409.90 

9.63 

4258.67 

7.06 

47S5.55 

3.29 

4902.47 

1.01 

4596.88 

5.0  1 

.18 

2399.79 

10.46 

3419.53 

9.61 

4265.73 

7.04 

4788.84 

3.2  1 

4901.46 

1.05 

4591.84 

5.07 

.19 

2410.25 

10.46 

3429.14 

9.59 

4272.77 

7.00 

4792.08 

3.20 

4900.41 

1.10 

4486.77 

5.11 

.20 

2420.71 

10.46 

3438.73 

9.57 

4279.77 

6.97 

4795.28 

3.16 

4899.31 

1.13 

4581.66 

5.15 

.21 

2431.17 

10.47 

3448.30 

9.56 

4286.74 

6.93 

4798.44 

312 

4898.18 

1.18 

4576.51 

5.19 

.22 

2441.64 

10.47 

3i:>7.s6 

9.54 

4293.67 

691 

4801.56 

3.07 

4897.00 

1.23 

4571.32 

5.22 

.23 

2452.11 

10.47 

3467.40 

9.52 

4300.58 

6.87 

4804.63 

3.03 

4895.77 

1.26 

1566.10 

5.25 

.24 

2462.58 

10.46 

3476.92 

9.50 

4307.45 

6.84 

4807.66 

2.99 

4894.51 

1.32 

4560.85 

5.30 

.25 

2473.04 

10.47 

3486.42 

9.48 

4314.29 

6.80 

4810.65 

2.95 

4893.19 

1.35 

4SS5.55 

5.33 

.26 

2IS3.51 

10.47 

3495.90 

9.46 

4321.09 

6.77 

4813.60 

2.91 

4891.84 

1.39 

4560.22 

5.36 

.27 

2493.98 

10.46 

3505  30 

9.44 

4327.86 

6.73 

4816.51 

2.86 

1890.45 

1.43 

4544.86 

5.40 

.28 

2504.44 

10.46 

3514.80 

9.43 

4334.59 

6.70 

4819.37 

3.83 

4889.02 

1.48 

•1539.  16 

5.43 

.29 

2514.90 

10.46 

3524.23 

9.40 

4311.29 

6.67 

4822.19 

2.79 

4887.54 

1.52 

4*84.03 

5.  17 

.30 

2525.36 

10.46 

3533.63 

9.39 

43  17.96 

6.63 

4824.98 

2.74 

4886.02 

1.56 

4528.56 

5.51 

.31 

2535.82 

10.46 

3543.02 

9.37 

1351.59 

6.60 

4827.72 

2.69 

4884.46 

161 

4523.05 

5.54 

.32 

2646.28 

10.46 

3662,39 

9.34 

4361.10 

6.56 

4830.41 

2.  (if) 

4882.85 

1.65 

1*17.51 

5.57 

.33 

2556.74 

10.46 

3561.73 

9.32 

4367.76 

6.52 

4833.06 

2.62 

4881.20 

1.69 

4511.94 

5.61 

.34 

2567.20 

10.45 

3571.05 

9.31 

4374.27 

6.49 

4835.68 

2.57 

4879.51 

1.73 

4506.33 

5.65 

.35 

2577.65 

10.45 

3580.36 

9.28 

13s().7(i 

6.46 

4838.25 

2.52 

4877.78 

1.77 

4000.68 

5.68 

.36 

2588.10 

10.45 

3589.64 

9.26 

I3S7.22 

6.43 

is  10.77 

2.  IN 

4876.01 

1.82 

4496.00 

5.72 

.37 

2598.55 

10.45 

3698.90 

!».2I 

4393.616 

6.39 

4848.25 

2.44 

4874.19 

1.86 

1  IS9.2S 

5.7  1 

.38 

2609.00 

10.44 

36os.i  i 

9.22 

4400.04 

6.35 

4845.69 

2.  10 

4872.33 

1.90 

4488.54 

5.79 

.39 

2619.44 

10.44 

3617.36 

9.20 

4406.39 

6.32 

4848.09 

2.36 

4870.43 

1.94 

4477.75 

5.82 

.40 

2629.88 

10.44 

3626.56 

9.18 

1112.71 

6.28 

4850.45 

2.31 

4868.49 

1.98 

4471.93 

5.85 

.41 

2610.32   10.43 

3635.71      9.16 

11  ls.it!) 

6.25 

4852.76 

2.27 

1866.51 

2.03 

1466.08 

5.N9 

.42 

2650.75    10.43 

36111)0      9.14 

1  12.-..2  1 

6.21 

4855.03 

2.23 

1864.48 

2.07 

1460.19 

5.92 

.43 

2661.1s 

10.13 

3<;;>i.oi    9.11 

1431.45 

6.1N 

4857.26 

2.19 

1862.41 

2.11 

1454.27 

5.95 

.44 

2671.61 

10.43 

3863.15 

9.09 

1  137.63 

6.14 

4859.45 

2.14 

4860.30 

2.15 

1  1  1S.32 

5.99 

.45 

2682.01 

10  12 

3672.24 

9.07 

1113.77 

6.10 

4861.59 

2.10 

1868.16 

2.20 

1  1  12.33 

6.02 

.46 

261)2,16    10.41 

36s  1.31      i'.or, 

1  1  I9.N7 

6.07 

4863.69 

2.06 

l.s:,5.!i:.      2.21 

1136.31 

0.06 

.47 

2702.  N7    10.41 

361)036      9.03 

1455.94 

6.03 

4865.75 

2.01 

1853.71 

2.27 

4480.25 

6.09 

.48 

2713.2N    10.40 

3(iil!l.39      9.00 

4161.97      5.9!) 

4867.76 

197 

IN.",  Ml 

2.32 

1121.16 

6.13 

.49 

2723.6s    10.10 

370S.3!)      8.97 

1467.96 

5.95 

1869.78 

1.02 

IN  10.  12      2.37 

II  IN.  03 

6.16 

.50 

273  l.(  is 

10.10 

3717.36     8.95 

1173!)! 

5.93 

4871.66 

1.89 

1846.75 

2.41 

4411.87 

6.19 

ION 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02  —  122".l  sin.  t  -f-  2371".0  sin,  2«  -f-  0".9  sin.  3t  -j-  14".4  sin.  4«. 

Period,  29.530587997  days. 


Days.     O 

1 

2 

3 

4 

S 

Decimals 
of  a  Day 

Kqualion 

DiflT. 

Equation. 

DilT. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

.50 

2734.08 

10.40 

3717.36 

8.95 

4173.91 

5.93 

4871.65 

1.89 

.  4846.75 

2.41 

441187 

6.19 

.51 

2744.48!  10.3!) 

3726.31  8.93 

4179.84 

5.88 

4873.54 

1.84 

4844.34  2.44 

4405.68 

6.22 

.52 

2754.87  j  10.39 

3735.24  8.91 

4485.72 

5.85 

4875.38 

1.80 

4841.90  2.49 

4399.46 

6.26 

.53 

276526  10.3H 

3744.15  8.89 

4491.57 

5.81 

4877.18 

1.76 

4839.41  2.53 

4393.20 

6.28 

.51 

2775.61 

10.37 

3753.01 

8.86 

4197.38 

5.78 

4878.94 

1.71 

4836.86 

2.57 

4386.92  6.32 

.55 

2786.01 

10.37 

3761.90 

8.84 

4503.16 

5.74 

4880.65 

1.67 

4834.31 

2.61 

4380.60 

6.35 

.56 

2796.38  10.37 

3770.71  8.81 

4508.SO 

5.70 

4882.3-2 

1.63 

4831.701  2«5 

4374.25 

6.39 

.57 

2806.75 

,  10.35 

3779.55  8.79 

4514.60 

5.67 

4883.95 

1.59 

4*29.05'  2.70 

4«67.86 

6.42 

.58 

2817.10 

10.35 

3788.34  8.77 

4520.27 

5.62 

4885.54 

1.51 

4826.35  2.73 

4361.44 

6.45 

.59 

2827.45 

10.34 

3797.11 

8.74 

4525.89 

5.59 

4887.08 

1.50 

4823.62 

2.77 

4354.99 

6.48 

.60 

2837.79 

10.33 

3805.85 

871 

4531.48 

5.56 

4888.58 

1.45 

4820.85 

2.82 

4348.51 

651 

.61 

2848.12 

10.33 

3814.56  8.68 

4537.04 

5.50 

4890.03 

1.41 

4818.03  2.86 

4342.00 

6.55 

.62 

2858.45 

10.32 

3823.24 

8.67 

4542.54 

5.48 

4891.44 

1.37 

4815.17  2.90 

4335.45 

658 

.63 

2868.77 

10.31 

3831.91 

8.64 

4518.02 

5.44 

4892.81 

1.33 

4812.27 

2.93 

4328.87 

661 

.64 

2879.08 

10.30 

3810.55 

8.62 

4553.46 

5.40 

4894.14 

1.28 

4809.31 

2.98 

4322.26 

6.64 

.65 

2889.38 

10.30 

3849.17 

8.59 

4558.86 

5.36 

4895.42 

1.23 

4806.36 

3.03 

4315.62 

6.67 

.66 

2899.68 

10.29 

3857.76 

8.57 

456  t.22 

5.33 

4896.65 

1.20 

4803.33 

3.07 

4308.95 

6.71 

.67 

2909.97 

10.28 

3866.33 

8.51 

4560.55 

5.29 

4897.85 

1.15 

4800.26 

3.10 

4302.24 

6.73 

.68 

2920.25 

10.28 

3874.87 

8.51 

4571.84 

5.25 

4899.00 

1.11 

4797.16 

3.14 

4295.51 

6.76 

.69 

2930.53 

10.26 

3883.38 

8.49 

4580.09 

5.21 

4900.11 

1.07 

4794.02 

3.18 

4288.75 

6.80 

.70 

2940.79 

10.25 

3891.87 

8.46 

4585.30 

5.17 

4901.18 

1.02 

4790.84 

3.23 

4281.95 

6.83 

.71 

2951.04 

10.25 

3900.33 

8.43 

4590.47 

5.13 

4902.20 

0.98 

4787.61 

3.26 

4275.12 

6.86 

.72 

2961.29 

10.24 

3908.76 

8.41 

4595.60 

5.10 

4903.18 

0.94 

4784.35 

3.30 

4268.26 

6.89 

.73 

2971.53 

10.22 

3917.17 

8.38 

4600.70 

5.06 

4904.12 

0.89 

4781.05 

3.35 

4261.37 

6.92 

.74 

2981.75 

10.21 

3925.55 

8.35 

4605.76 

5.01 

4905.01 

0.85 

4777.70 

3.38 

4254.45 

6.96 

.75 

2991.96 

10.20 

3933.90 

8.33 

4610.77 

4.98 

4305.86 

0.81 

4771.  32 

3.43 

4247.  19 

6.98 

.76 

3002.16 

10.19 

3942.23 

8.30 

4615.75 

4.94 

4906.67 

0.76 

4770.89 

3.46 

4240.51 

7.01 

.77 

3012.35 

10.18 

3950.53 

8.27 

4620.69 

4.90 

4907.43 

0.72 

4767.43 

3.51 

4233.50 

7.04 

.78 

3022.53 

10.17 

3958.80 

g.25 

4625.59 

4.S1 

400R15 

0.68 

4763.92 

3.54 

4226.46 

7.07 

.79 

3032.70 

10.16 

3967.05 

8.22 

4630.45 

4.83 

4908.83 

0.64 

4760.38 

3.58 

4219.39 

7.09 

.80 

3042.86 

10.16 

9975.97 

8.19 

4635.°8 

4.79 

4909.47 

0.59 

475^.80 

3.6"? 

4212.30 

7.13 

.81 

3053.02 

10.15 

3983.  l:j 

8.16 

4610.07 

4.71 

4910.06 

(,.54 

4753.17  366 

4205.17 

7.16 

.82 

3063.17 

10.14 

3991.62 

8.13 

4644.81 

4.71 

4910.60 

0.50 

4749.51 

3.71 

4198.01 

7.19 

.83 

3073.31 

10.13 

3999.75 

8.11 

4649.52 

4.66 

4911.10 

0.46 

4745.80 

3.75 

4190.82 

7.22 

.84 

3083.44 

10.12 

4007.86 

8.08 

4654.18 

4.63 

4911.56 

0.41 

4742.05 

3.78 

4183.60 

7.24 

.85 

3093.56 

10.10 

4015.94 

8.04 

4658.81 

4.59 

4911.97 

0.37 

4738.27 

3.82 

4176.36 

7.27 

.86 

3103.66 

10.09 

4023.98 

8.02 

4663.40 

4.54 

4912.34 

0.34 

4734.45 

3.86 

4169.09 

7.30 

.87 

3113.75 

10.07 

4032.00 

7.99 

4667.94 

4.51 

4912.68 

0.29 

4730.59 

3.90 

4161.79 

7.33 

.88 

3123.82  10.06 

4039.99 

7.97 

4672.45 

4.46 

4912.97 

0.24 

4726.69 

3.94 

4154.46 

7.36 

.89 

3133.88 

10.05 

4047.96 

7.93 

4676.91 

4.43 

4913.21 

0.20 

4722.75 

3.98 

4147.10 

7.39 

.90 

3143.93 

10.03 

4055.89 

7.91 

4681.34 

4.39 

4913.41 

0.15 

4718.77 

4.02 

4139.71 

7.42 

.91 

3153.96  10.03 

4063.80 

7.88 

4685.73 

4.35 

4913.56 

0.12 

4714.75!  4.06 

4132.29 

744 

.92 

3163.99  10.01 

4071.68  7.85 

4690.08 

4.31 

4913.68 

0.07 

4710.69  4.09 

4124.85 

7.47 

.93 

3174.00  10.00 

4079.53  7.81 

4694.39 

4.26 

4913.75 

0.03 

4706.60  4.13 

4117.38 

7.50 

.94 

3184.00 

9.99 

4087.31 

7.79 

4698.65 

4.23 

4913.78 

0.02 

4702.47 

4.17 

4109.88 

7.52 

.95 

3193.99 

9.97 

4095.13 

7.76 

4702.88 

4.19 

4913.76 

0.06 

4698.30! 

4.21 

4102.36 

7.56 

.96 

3203.96 

9.96 

4102.89  7.73 

4707.07 

4.15 

4913.701  0.10 

4694.09  4.26 

1091.80 

7.58 

.97 

3213.92  9.94 

4110.62  7.70 

4711.22 

4.10 

4913.60  0.15 

4689.83  4.29 

4087.22 

7.60 

.98 

3223.86  9.92 

4118.32  7.66 

4715.32  4.07 

4913.45  0.19 

4685.54  4.32 

4079.62 

7.65 

.99 

3233.78  9.91 

4125.98  7.63 

1719.39 

4.02 

4913.26 

0.21 

4681.22 

4.37 

4071.97 

7.67 

1.00 

3343.69 

9.91 

4133.61 

7.61 

4723.41 

3.98 

4913.02 

0.28 

4676.85 

4.41 

4064.30 

7.69 

1 

109 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02  —  122".l  sin.  t  +  2371".0  sin.  2<  +  0".9  sin.  3t  -f  14".4  sin.  4<. 

Period,  29.530587997  days. 


Days.            6 

7 

8 

9 

1O 

11 

Decimals 
of  a  Day. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Did 

Equation. 

Diff. 

.00 

4064.30 

7.69 

3187.42 

9.62 

2199.82 

9.86 

1271.82 

8.41 

563.98 

5.50 

201.50 

1.59 

.01 

4056.61 

7.71 

3177.80 

9.62 

2189.96 

9.85 

1263.41 

8.39 

558.48 

5.47 

199.91 

1.56 

.02 

4048.90 

7.75 

3168.18 

9.63 

2180.11 

9.85 

1255.02 

8.37 

553.01 

5.43 

198.35 

1.51 

.03 

4041.15     7.77 

3158.55 

9.64 

2170.26 

9.84 

1246.65 

8.35 

547.58 

5.40 

196.84 

1.47 

.04 

4033.38 

7.79 

3148.91 

9.65 

2160.42 

9.83 

1238.30 

8.32 

5  12.  IN 

5.36 

195.37 

1.43 

.05 

4025.59 

7.82 

3139.26 

9.66 

2150.59 

9.83 

1229.98 

8.30 

536.82 

5.32 

193.94 

1.38 

.06 

4017.77 

7.85 

3129.60 

9.67 

2140.76 

9.82 

1221.68 

8.28 

531.50 

5.29 

192.56 

1.35 

.07 

4009.92 

7.88 

3119.93 

9.68 

2130.94 

9.81 

1213.40 

8.25 

526.21 

5.25 

191.21 

1.30 

.08 

4002.04 

7.90 

3110.25 

9.69 

2121.13 

9.80 

1205.15 

8.23 

520.96 

5.22 

189.91 

1.26 

.09 

3994.14 

7.92 

3100.56 

9.70 

2111.33 

9.80 

1  196.92 

8.21 

515.74 

5.18 

188.65 

1.21 

.10 

3986.22 

7.95 

3090.86 

9.71 

2101.53 

9.79 

1188.71 

8.18 

510.56 

5.15 

187.44 

1.18 

.11 

3978.27 

7.97 

3081.15 

9.72 

2091.74 

9.78 

1180.53 

8.16 

505.41 

5.11 

186.26 

1.13 

.12 

3970.30 

8.00 

3071.43 

9.72 

2081.96 

9.78 

1172.37 

8.14 

500.30 

5.07 

185.13 

1.09 

.13 

3962.30 

8.03 

3061.71 

9.74 

207-'.  IS 

9.76 

1164.23 

8.11 

495.23 

5.04 

184.04 

1.05 

.14 

3954.27 

8.05 

3051.97 

9.75 

2062.42 

9.76 

1156.12 

8.09 

490.19 

5.00 

182.99 

1.00 

.15 

3946.22 

8.07 

3042.22 

9.75 

2052.66 

9.75 

1148.03 

8.06 

485.19 

4.97 

181.99 

0.95 

.16 

3938.15 

8.10 

3032.  17 

9.76 

2042.91 

9.74 

1139.97 

8.04 

480.22 

4.92 

181.01 

0.92 

.17 

3930.05     8.13 

3022.71 

9.77 

2033.17 

9.73 

1131.93 

8J31 

175.30 

4.89 

180.12 

0.88 

.18 

3921.92     8.14 

3012.94 

9.78 

2023.44 

9.72 

112392 

7.99 

470.41 

4.86 

179.24 

0.84 

.19 

3913.78 

8.17 

3003.16 

9.79 

2013.72 

9.71 

1115.93 

7.96 

465.55 

4.82 

178.40 

0.79 

.20 

3905.11! 

8.20 

2993.37 

9.80 

2004.01 

9.71 

1  107.97 

7.94 

460.73 

4.78 

177.61 

0.75 

.21 

3897.41      8.22 

2983.57 

9.80 

1994.30 

9.69 

1100.03 

7.91 

455.95 

4.74 

176.86 

0.71 

.22 

3SN1U9     8.21 

2979.77 

9.81 

1984.61 

9.68 

10112.12 

7.89 

451.21 

4.71 

176.15 

0.67 

.23 

3880.95     8.27 

2963.96 

9.82 

1974.93 

9.68 

1084.23 

7.86 

446.50 

4.67 

175.48 

0.62 

.24 

3872.68 

8.29 

2954.14 

9.82 

1965.25 

9.66 

1076.37 

7.83 

441.83 

4.62 

174,86 

0.58 

.25 

3864.39 

8.31 

2944.83 

983 

1955.59 

9.65 

lOfiS.51 

7.80 

437.22 

4.59 

17428 

0.5  1 

.26 

385608     8.34 

2934.49 

9.84 

1945.94 

9.65 

1060.74 

7.80 

432.62 

4.56 

173.71 

0.50 

.27 

3817.74     8.36 

292  1.65 

9.85 

1936.29 

9.63 

1052.91 

7.75 

428.06 

4.52 

173.24 

0.45 

.28 

3839.38     8.38 

2914.80 

9.85 

1926.66 

9.62 

1015.1!) 

7.71 

423.54 

4.48 

172.79 

0  12 

.29 

3831.00 

8.40 

2904.95 

9.85 

1917.04 

9.61 

1037.  15 

7.70 

419.06 

4.45 

172.37 

0.36 

.30 

3822.60 

8.43 

2895.10 

9.87 

1907.43 

9.60 

1029.75 

7.68 

414.61 

4.40 

17201 

0.33 

.31 

:is||.i7     s.  i:. 

2885.23 

9.87 

189743 

9.58 

1022.07 

7.65 

410.21 

4.37 

1  71.68 

0.28 

.32 

3*05.72     8.47 

2875.86 

9.87 

LNNK.25 

9.58 

101  1.12 

7.62 

405.8  4 

4.33 

171.40 

0.24 

.33 

3797.25     8.50 

2MI5.  1!) 

9.88 

1N7S.67 

9.56 

1006.80 

7.60 

401.51 

4.30 

171.16 

0.20 

.34 

3788.75 

8.51 

2855.61 

9.89 

1869.11 

9.56 

999.20 

7.57 

397.21 

4.25 

170.96 

0.15 

.35 

3780  24 

8.53 

2845.72 

9.89 

1859.55 

!).:>! 

991.63 

7.51 

392.96 

4.22 

170.81 

0.12 

.36 

1177  1  .7  I      f*.5(i 

2S35.83 

9.90 

1850.01 

9.53 

984.09 

7.52 

3SS.7  1 

4.18 

170.69 

0.07 

.37 

37<;:».i5    ,s.5* 

2825.93 

9.90 

1840.48 

9.5) 

976.57 

7.49 

38456 

'4.14 

170.62 

0.08 

.38 

3754JP7 

8.60 

2816.03 

9.91 

1831.97 

9.50 

iKiil.Os 

7.  Hi 

:i.so.  12 

4.10 

170.5!) 

0.02 

.39 

::7  »5.!i7 

8.62 

2806.12 

9.9  1 

1821.47 

D.ll) 

961.62 

7.43 

376.32 

4.06 

170.61 

0.05 

.40 

3787.35 

8.65 

2796.21 

9.92 

1811.98 

9.48 

954.19 

7.40 

372.26 

4.02 

170.66 

0.10 

.41 

372S.70      fvfii; 

27N6.2!» 

!)  !)2 

L  802.60 

!).  17 

946.79 

7.38 

3GN.2  1 

3.99 

170.76 

0.14 

.42 

3720.01      Nil- 

2776.37 

9.92 

1793.03 

9.45 

939.41 

7,85 

3(i  1.25 

8.95 

170.90 

0.19 

.i:t 

3711.36     8.70 

27i;ii  15 

9.93 

1783.58 

it.  11 

932.06 

7.:  12 

360.30 

3.90 

171.09 

0.23 

.44 

3702.66 

8.73 

2756.52 

9.93 

1771.11 

9.43 

924.74 

7.2!) 

;{5(i.  ID 

8.87 

171.32 

0.27 

.15 

S69&93 

8.75 

•.'-,  i-;.-," 

9.93 

1764.71 

9.41 

917.45 

7.2(1 

852.58 

3.s:i 

171.59 

0.31 

.46 

3685.18 

8.71 

27.-f6.d6 

9.94 

1755.30 

9.40 

910.19 

7  .23 

31N.70 

3.80 

171.90 

0.35 

.47 

3676.41 

8.78 

2726.72 

9.94 

1715.HO      9.3s 

902.96 

7.21 

344.90 

3.75 

172.25 

0  10 

.48 

3667.63 

8.81 

2716.78 

9.94 

173fi  52 

9.36 

895.75 

7.17 

841.15 

3.70 

172.65 

0.  15 

.49 

3658.82 

8.83 

2706.84 

9.115 

1727.16 

9.35 

888.58 

7.11 

3:17.  15 

3.67 

173.10 

0.49 

.50 

3649.99 

8.81 

2696.89 

!l  !I5 

1717.81 

9.85 

881.44 

7.12 

833.78 

8.64 

173.5!) 

0.52 

110 


TABLE  VIII.    ARGUMENT  3. 


Equation  =  2457".02  —  122  '.1  sin.  t  -f  2371".0  sin.  2«  -f  0".9  sin.  3t  -f  14  '.4  sin.  4f. 

Period,  29.530587997  days. 


Days.     6 

7 

8 

9 

10 

11 

Decimals 
of  a  Day. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff 

ii 

n 

it 

K 

n 

.50 

3649.99 

8.84 

2696.89 

9.95 

1717.81 

9.35 

881.44 

7.12 

333.78 

3.64 

173.59 

0.52 

.51 

3641.15 

8.87 

2686.94 

9.95 

1708.46 

9.32 

874.32 

7.09 

330.14 

3.59 

174.11 

0.57 

.52 

3632.28 

8.88 

2676.99 

9.96 

1699.14 

9.31 

867.23 

7.05 

326.55 

356 

174.68 

0.61 

.53 

36-23.40 

8.90 

2667.03 

9.95 

1689.83 

9.30 

860.  18 

7.03 

322.99 

3.51 

175.29 

0.65 

.54 

3614.50 

8.92 

2657.08 

9.96 

1680.53 

9.28 

853.15 

7.00 

319.48 

3.48 

175.94 

0.70 

.55 

3605.58 

8.94 

2647.12 

9.96 

1671.25 

9.27 

846.15 

6.97 

316.00 

3.44 

176.64 

0.74 

.56 

3596.6  1  8.96 

2607.16 

9.96 

1661.98 

9.'25 

839.18 

6.94 

312.5! 

3.10 

177.38 

0.78 

.57 

3587.68 

8.97 

26-27.20 

996 

1652.73 

9.23 

832.2  1 

6.91 

309.  l(i  3.35 

178.16 

0.82 

.58 

3578.71 

8.99 

2617.24 

9.97 

1643.50 

9.22 

825.33 

6.88 

305.81 

3.32 

178.98 

0.86 

.59 

3569.72 

9.01 

2607.27 

9.96 

1634.28 

9.21 

818.45 

6.85 

302.49 

3.28 

179.84 

0.92 

.60 

3560.71 

9.03 

2597.31 

9.97 

1625.07 

9.18 

811.60 

6.81 

299.21 

3.24 

180.76 

0.95 

.61 

3551.68 

9.05 

2587.34 

9.96 

1615.89 

9.17 

804.79 

6.79 

29597  3.20 

181.71 

0.99 

.62 

3542.63 

9.06 

2577.38 

9.97 

1606.72 

9.16 

798.00 

6.76 

292.77  3.15 

182.70 

1.04 

.63 

3533.57 

9.08 

2567.41 

9.97 

1597.56 

9.14 

791.24 

6.72 

289.62  3.12 

183.74 

1.08 

.64 

3524.49 

9.10 

2557.44 

9.97 

1588.42 

9.12 

784.52 

6.70 

286.50 

3.08 

184.82 

1.12 

.65 

3515.39 

9.12 

2547.47 

9.96 

1579.30 

9.10 

777.82 

6.66 

283.42 

3.03 

185.94 

1.17 

.66 

3506.27 

9.13 

2537.51 

9.97 

1570.20 

9.09 

771.16 

6.63 

280.39 

2.99 

187.11 

1.21 

.67 

3497.14 

9.15 

2527.54 

9:97 

15Sj.ll 

9.07 

764.53 

6.60 

277.40 

2.96 

188.32 

1.25 

.68 

3487.99 

9.16 

2517.57 

9.97 

1552.04 

9.06 

757.93 

6.57 

274.44 

2.92 

189.57 

1.29 

.69 

3478.83 

9.18 

2507.60 

9.96 

1542.98 

9.03 

751.36 

6.54 

271.52 

2.87 

190.86 

1.33 

.70 

3469.65 

9.20 

2497.64 

9.97 

1533.95 

9.02 

744.82 

6.50 

268.65 

2.84 

192.19 

1.38 

.71 

3460,45 

9.21 

2487.67 

9.96 

1524.93 

9.00 

738.32 

6.48 

265.81 

2.78 

193.57 

1.42 

.72 

3451.24 

9.23 

2477.71 

9.97 

1515.93 

8.98 

731.84 

6.44 

263.03 

2.76 

194.99 

1.46 

.73 

3442.01 

9.25 

2467.74 

9.96 

1506.95 

8.97 

725.40 

6.41 

260.27 

2.71 

196.45 

1.50 

.74 

3432.76 

9.26 

2457.78 

9.96 

1497.98 

8.94 

718.99 

6.38 

257.56 

2.68 

197.95 

1.55 

.75 

3423.50 

9.28 

2447.S2 

9.96 

1489.04 

8.93 

712.61 

6.35 

25  1.88 

2.53 

19i  .50 

1.58 

.76 

3414.22 

9.29 

2437.86 

9.95 

1480.11 

8.91 

706.26 

6.31 

252.25 

2.58 

201.08 

1.63 

.77 

3404.93 

9.31 

2427.91 

9.96 

1471.20 

8.89 

699.95 

6.27 

249.67 

2.54 

202.71 

1.69 

.78 

3395.62 

9.32 

2417.95 

£.95 

116:31 

8.^7 

093.68  '  fi.24 

247.13 

2.52 

204.40 

1.70 

.79 

3386.30 

9.33 

2408.00 

9.95 

1453.44 

8.85 

687.44 

6.22 

244.61 

2.47 

206.10 

1.75 

.80 

3376.97 

9.35 

239S.05 

995 

1444.59 

8.83 

681.22 

6.18 

249.14 

2.4r: 

207.85 

1.80 

.81 

3367.62 

9.37 

23S8.10 

9.95 

1435.7J 

8.81 

675.04 

6.15 

23;,.  71 

2.37 

209.65 

1.84 

.82 

3358.25 

9.38 

2378.15 

9.94 

1426.95 

8.80 

668.89 

6.12 

237.34 

2.34 

211.49 

189 

.83 

3348.87 

9.39 

2368.21 

9.93 

1418.15 

8.77 

662.77 

6.08 

235.00 

2.31 

213.38 

1.93 

.84 

3339.48 

9.41 

2358.28 

9.94 

1409.38 

8.75 

656.69 

6.05 

232.69 

2.26 

215.31 

1.97 

.85 

333007 

9.42 

2348.34 

9.93 

1400.63 

8.74 

650.64 

6.02 

230.43 

2.22 

217.28 

2.00 

.86 

3320.65 

9.43 

2338.41 

9.93 

1391.89 

8.71 

644.62 

5.98 

228.21 

2.18 

219.28 

2.05 

.87 

3311.22 

9.45 

2328.48 

9.92 

1383.18 

8.69 

638.64 

5.95 

226.03 

2.13 

221.33 

2.10 

.88 

3301.77 

9.46 

2318.56 

9.92 

1374.49 

8.67 

632.69 

5.91 

223.90 

2.10 

223.43 

2  13 

.89 

3292.31 

9.47 

2308.64 

9.92 

1365.82 

8.65 

626.78 

5.88 

221.80 

2.05 

225.56 

2.18 

.90 

3282.84 

9.49 

2298.72 

9.91 

1357.17 

8.64 

620.90 

5.85 

219.75 

2.02 

227.74 

2.21 

.91 

3273.35 

9.50 

2288.81 

9.91 

1348.53 

8.61 

615.05 

5.82 

217.73 

1.97 

229.95 

226 

.92 

3263.85 

9.51 

2278.90 

9.90 

1339.92 

8.58 

609.23 

5.77 

215.76|  1.93 

232.21 

2.30 

.93 

3254.34 

9.52 

2269.00 

9.90 

1331.34 

8.57 

603.46 

5.75 

213.83   1.88 

234.51 

2.34 

.94 

3244.82 

9.54 

2259.10 

9.89 

1322.77 

8.55 

597.71 

5.71 

211.95 

1.85 

236.85 

2.39 

.95 

3235.28 

9.55 

2249.21 

9.89 

1314.22 

8.52 

592.00 

5.68 

210.10 

1.81 

239.24 

2.42 

.96 

3225.73 

9.56 

2239.32 

9.88 

1305.70 

8.51 

586.32 

5.64 

208.29   1.76 

241.66 

2.47 

.97 

3216.17 

9.57 

2229.44 

9.88 

1297.19 

8.48 

580.68 

5.60 

206.53   1.72 

244.13 

2.51 

.98 

3206.60 

9.58 

2219.56 

9.87 

1288.71 

8.46 

575.08 

557 

204.81   1.68 

246.64 

2.55 

.99 

3197.02 

9.60 

2209.69 

9.87 

1280.25 

8.43 

569.51 

5.53 

203.13:  1.63 

249.19 

2.60 

1.00 

3187.42 

9.62 

2199.82 

9.86 

1271.82 

8.41 

563.98 

5.50 

201.50 

1.59 

251.79 

2.63 

111 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02  —  122".l  sin.  /  -f  2371".0  sin.  2t  +  0".9  sin.  3/  -f  14".4  sin. 

Period,  29.530587997  days. 


Days.            19 

13 

14 

IS 

16 

17 

Decimal's 
ufa  Day. 

Equation. 

Diff. 

Equation 

Diff 

Equation. 

Diff. 

Bqtwtion. 

Dilf. 

Equation. 

Diff 

Equation. 

Diir. 

.00 

251.79 

2.63 

709.32 

6.41 

1492.67 

9.03 

2457.02 

9.96 

348  L36 

9.02 

1201.72 

6.39 

.01 

254.42 

2.67 

715.73 

6.45 

1501.70 

9.05 

2466.98 

9.95 

3430.38 

9.00 

1211.11 

0.34 

.02 

257.09 

2.72 

722.18 

6.48 

1510.75 

9.06 

2476.93 

9.96 

3i3!).:ts 

8.97 

4217.45 

6.32 

jQ8 

259.81 

2.75 

728.66 

6.62 

1519.81 

9.09 

2486.89 

!).!).-> 

:i  1  IH.35 

8.96 

1223.77 

6.28 

.04 

262.56 

2.80 

735.18 

6.51 

1528.90 

9.10 

2496.84 

9.96 

3157.31 

8.93 

4230.05 

6.25 

.05 

265.36 

2.84 

741.72 

6.58 

1538.00 

9.12 

2506.80 

9.95 

3166.24 

8.92 

4236.30 

6.22 

.06 

268.20 

2.88 

748.30 

6.62 

1517.12 

913 

2516.75     9.95 

:!i7r>.ifi 

8.91 

12  12.52 

6.18 

.07 

271.08 

2.92 

754.92 

6.64 

1556.25 

9.16 

2686.70 

9.96 

3184.07 

8.86 

1218.70 

(i.15 

.08 

274.00 

2.96 

761.56 

6.68 

1565.41 

9.17 

2536.66 

9.95 

'3l!)2.93 

8.86 

1254.85 

6.11 

.09 

276.96 

3.01 

768.24 

6.70 

1574.58 

9.18 

2516.61 

9.91 

3501.79 

8.85 

4260.96 

6.08 

.10 

279.97 

3.05 

774.94 

6.74 

1583.76 

9.21 

2556.55 

9.95 

3510.61 

8.81 

4267.01 

0.01 

.11 

283.02 

3.09 

781.68 

6.78 

1592.97 

9.23 

256&50 

9.95 

3319.45 

8.80 

127:5.08 

6.01 

.12 

286.11 

3.12 

788.46 

6.81 

1602.20 

9.24 

2576.45 

9.95 

3528.25 

8.78 

4279.09 

5.98 

.13 

289.23 

3.17 

795.27 

6.83 

1611.44 

9.25 

2586.40 

9.9  1 

:!.->:{7.o:5 

8.75 

12Sf..()7 

5.94 

.14 

292.40 

3.21 

802.10 

687 

1620.69 

9.27 

2596.34 

9.93 

:!.-.  15.7s 

8.74 

4291.01 

5.91 

.15 

295.61 

3.25 

808.97 

6.90 

1629.96 

9.28 

2606.27 

9.94 

3554.52 

8.71 

4296.92 

5.88 

.16 

298.86 

3.2S 

815.87 

6.93 

1639.24 

9.31 

2616.21 

9.93 

3583.23 

8.70 

1302.80 

5.8  1 

.17 

302.14 

&aa 

822.80 

6.96 

1648.55 

931 

2686,14 

9.93 

357  1.93 

8.67 

1308.64 

5.  SO 

.18 

:«):>.  n 

3.37 

829.76 

6.99 

1657.86 

!).33 

26:56.07 

!).!»:! 

3580.60 

8.65 

131  1.11 

5.76 

.19 

308.84 

3.41 

836.75 

7.02 

1667.19 

9.35 

2646.00 

9.92 

3589.25 

8.61 

4320.20 

5.73 

.20 

312.25 

3.46 

843.77 

7.05 

1676.54 

9.36 

2655.92 

9.91 

3597.89 

8.61 

1325.93 

5.70 

.21 

31571 

:i.  ID 

850.82 

708 

1685.90 

9.3N 

2665.83 

932 

3606.50 

8.58 

1331.63 

5.00 

.22 

319.20 

3.53 

857.90 

7.12 

1695.28 

9.39 

2675.75 

991 

3616.08 

S.:,7 

1337.29 

5.63 

SB 

322.73 

:i.r>7 

865.02 

7.11 

1704.67 

9.41 

2685.66 

990 

3623.65 

$.53 

4342.92 

:>..» 

.24 

326.30 

3.62 

872.16 

7.18 

1714.08 

9.42 

2695.56 

9.91 

3632.18 

8.53 

i:iis.r>(i 

5.56 

.25 

329.92 

3.65 

879.34 

7.21 

1723.50 

9.44 

2705,17 

9.90 

3640J1 

8.49 

1354.06 

5.52 

.26 

:t:i:5..r>7 

3.69 

886.55 

7.23 

17:52.!)  1 

a.45 

2715.37 

9.89 

364920 

8.48 

4359.58 

5,  IS 

an 

337.26 

8.73 

893.78 

7.26 

1712.:5() 

9.46 

2725.26 

9.89 

3657.68 

8.45 

436506 

5.44 

.28 

310.99 

3.77 

901.01 

7.30 

1751.85 

9.47 

27:55.15 

9.88 

3066  13 

8.43 

4370.50 

5.  1  1 

.29 

844.96 

3.81 

908.34 

7.32 

1761.32 

!).!!) 

2715.03 

9.87 

307  1.56 

8.41 

4375.91 

5.37 

.30 

348.57 

3.85 

915.66 

7.35 

1770.81 

9.50 

2754.90 

9.87 

3682.97 

8.38 

1381.28 

5.3  1 

.31 

352.  12 

&89 

933.01 

7.:iN 

1780,31 

9.52 

276  1.77 

9.86 

3091.35     s:i(| 

4386.63 

5.30 

.32 

356.31 

3.93 

930.39 

7.41 

178953 

9.52 

2771.fi:! 

9.86 

:50!)!).7l     s.:»:i 

1391.95 

5.27 

.:5:{ 

360.24 

3.97 

937.88 

7.11 

1799.36 

9.54 

2784.49 

9.85 

3708.01     8.31 

1397.19 

5  23 

.31 

364.21 

4.01 

!)  15.2  I 

7.KJ 

1808.89 

9.56 

2794.34 

9.80 

3716.35 

8.29 

4402.42 

5.1!) 

.35 

368.22 

4.06 

952.70 

7.80 

lsis.tr, 

9.57 

2801.18 

9.84 

3721.  Cl 

8.26 

4407.61 

5  15 

.36 

872.26 

4.09 

960.20    7.r>:{ 

1828.03 

!>..->s 

2SI  1.02 

9.s:s 

3732.!K)     s.-.'| 

1412.76 

5.12 

.37 

:t70.:57 

4.12 

967.73:    7.56 

1837.60 

!i  :,s 

6.83 

3711.11     8.21 

1117.  ss 

5.0N 

.38 

380.49 

4.17 

97659 

7.58 

1847.18 

9.60 

2833.68 

9JS& 

37»!».:!5      8.19 

1422.96 

5.0  1 

.39 

384.66 

4.20 

98&S7 

7.61 

1856.78 

9.61 

2843.50 

9.81 

15757.51 

8.17 

1  I2N.OO 

5.01 

.40 

:;ss.86 

L24 

WO.  is 

7.63 

1866.39 

9.62 

2853.ai 

8.80 

3765,71 

8,14 

4433.01 

4.97 

.41 

3ii3  Id      i.2s 

9fl8.ll 

7.67 

1876.01 

9.64 

2803.ll 

!>.7i) 

:i77:i.sr, 

s.ll 

1  137.98 

4.98 

.42 

3i»7.38 

Lie 

1005.7s      7.  (i!» 

1885.65 

9.64 

2872i90 

9.79 

37S1.!I6      Mi:' 

4442.91 

1.89 

.43 

401.70 

4.J6 

101:5.17 

7.72 

iyi5.29     <).(;;, 

•Js-vj.Oi)      !).77 

:i7i)0.()5     8.06 

1447.80 

4.85 

.44 

406.0G 

I  in 

1021.19 

7.7.-. 

1904.94 

9.67 

2S!I2.  10 

9.77 

3796.11 

5.04 

1  152.05 

4.82 

.45 

410.46 

l.ll 

102s.!>l 

7.77 

1914.61 

9.67 

2902.23 

9.76 

3806,15 

s.dl 

tt.T7.17 

4.78 

.46 

111.IM 

1.17 

1036.71 

7.  so 

1!)212S      'Mill 

2!)  ll.il!)     !).75 

:!sn.i(i     7.9!) 

1  102  25 

4.74 

.17 

419.37 

L52 

Kill..-)! 

I!t:53.!i7      !).70 

21)21.71      !l.71 

:!s-r.M5     7.  lit! 

M66.99 

4.71 

.48 

123.8J 

1.50 

l  o:,2.:t  i 

l!ii:t.07      9.71 

2!l31.ls      «l.71 

:5s:5().ll      7.93 

1171.70 

4.66 

.49 

\aa  i: 

L.80 

1000.111      7  Mi 

1953.38 

9.71 

2!)  11.  22      !).7:i 

:!s:tsoi     7.H-2 

1  170.150 

4.64 

.50 

13344 

t.63 

lo:is.os      7.91 

1963.09 

9.7:5 

2950.95 

9.71 

3845.96 

7.ss 

1  is  !.()() 

4.59 

112 


TABLE  VIII.    ARGUMENT  3. 


Equation  =  2457".02  —  122".  1  sin.  t  -f  2371".0  sin.  2t  -J-  0".9  sin.  3t  -}-  14".4  sin.  4«. 

Period,  29.530587997  days. 


Days.     13 

13 

14 

15 

16 

17 

Decimals 
of  a  Day. 

Equation. 

Diff. 

Equation. 

DM 

Eqaulon. 

Diff. 

Equation. 

Diff 

Equation. 

Diff. 

Equation. 

Diff. 

.50 

433.04 

4.63 

1068.08 

7.91 

1963.09 

9.73 

2950.95 

9.71 

3845.96 

7.88 

4481.00 

4.59 

.51 

437.67 

4.66 

1075.99 

7.94 

1972.82 

9.73 

2960.66 

9.71 

3853.84 

7.85 

4485.59 

4.56 

.52 

4  12.33 

4.71 

1083.93 

7.96 

1982.55 

9.74 

2970.37 

9.69 

3861.69 

7.83 

4490.15 

4.51 

.53 

447.04 

4.74 

1091.89 

7.98 

1992.29 

9.76 

2980.06 

9.69 

3869.52 

7.80 

4494.66 

4.47 

.54 

451.78 

4.78 

1099.87 

8.01 

2002.05 

9.76 

2989.75 

9.67 

3877.33 

7.77 

4499.13 

4.44 

.55 

456.56 

4.82 

1107.88 

8.04 

2011.81 

9.76 

2999.42 

9.67 

3885.10 

7.74 

4503.57 

4.40 

.56 

461.38 

4.85 

1115.92 

8.06 

2021.57 

9.78 

3009.09 

9.65 

3892.84 

7.72 

4507.97 

4.36 

.57 

466.23 

4.89 

1123.98 

8.09 

2031.35 

9.78 

3018.74 

9.65 

3900.56 

7.69 

4512.33 

4.32 

.58 

471.12 

4.93 

1132.07 

8.12 

2041.13 

9.80 

3028.39 

9.63 

3908.25 

7.67 

4516.65 

4.28 

.59 

476.05 

4.97 

1140.19 

8.14 

2050.93 

9.80 

3038.02 

9.62 

3915.92 

7.63 

4520.93 

4.24 

.60 

481.02 

5.01 

1148.33 

8.16 

2060.73 

9.81 

3047.64 

9.61 

3923.55 

7.61 

4525.17 

4.21 

.61 

486.03 

5.04 

1156.49 

8.19 

2070.54 

9.82 

3057.25 

9.60 

3931.16 

7.59 

4529.38 

4.17 

.62 

491.07 

5.08 

1164.68 

8.22 

2080.36 

9.82 

3066.85 

9.60 

3938.75 

7.56 

4533.55 

4.13 

.63 

496.15 

5.10 

1172.90 

8.23 

2090.18 

9.83 

3076.45 

9.58 

3946.31 

7.52 

4537.68 

4.08 

.64 

501.25 

5.17 

1181.13 

8.26 

2100.01 

9.84 

3086.03 

9.56 

3953.83 

7.50 

4541.76 

4.05 

.65 

506.42 

5.20 

1189.39 

8.29 

2109.85 

9.84 

3095.59 

9.55 

3961.33 

7.47 

4545.81 

4.01 

.66 

511.62 

5.23 

1197.68 

8.31 

2119.69 

9.85 

3105.14 

9.54 

3968.80 

7.43 

4549.82 

3.97 

.67 

516.85 

5.26 

1205.99 

8.33 

2129.54 

9.86 

3114.68 

9.53 

3976.23 

7.41 

4553.79 

393 

.68 

522.11 

5.30 

1214.32 

836 

2139.40 

9.86 

3124.21 

9.51 

3983.64 

7.38 

4557.72 

3.89 

.69 

527.45 

5.32 

1222.68 

8.39 

2149.26 

9.87 

3133.72 

9.50 

3991.02 

7.35 

4561.61 

3.85 

.70 

532.77 

5.35 

1231.07 

8.41 

2159.13 

9.87 

3143.22 

9.49 

3998.37 

7.33 

4565.46 

3.81 

.71 

533.12 

5.41 

1239.48 

8.42 

2169.00 

9.88 

3152.71 

9.47 

4005.70 

7.29 

4569.27 

3.77 

.72 

513.53 

5.44 

1247.90 

8.46 

2178.88 

9.89 

3162.18 

9.46 

4012.99 

7.26 

4573.04 

3.73 

.73 

54S.97 

5.49 

1256.36 

8.47 

2188.77 

9.90 

3171.64 

9.45 

4020.25 

7.23 

4576.77 

3.69 

.74 

554.46 

5.51 

1264.83 

8.50 

2198.67 

9.90 

3181.09 

9.44 

4027.48 

7.21 

4580.46 

3.66 

.75 

559.97 

5.5fi 

1273.33 

8.52 

2208.57 

9.90 

3190.53 

9.43 

4034.69 

7.18 

4584.12 

3.61 

.76 

565.53 

5.59 

1281.85 

8.54 

2218.47 

9.90 

3199.96 

9.40 

4041.87 

7.14 

4587.73 

3.57 

.77 

571.12 

5.62 

1290.39 

8.56 

2228.37 

9.91 

3209.36 

9.39 

4049.01 

7.12 

4591.30 

3.54 

.78 

576.74 

5.66 

1298.95 

8.59 

2238.28 

9.91 

3218.75 

9.38 

4056.13 

7.08 

4594.84 

3.49 

.79 

582.40 

5.70 

1307.54 

8.61 

2248.19 

9.92 

3228.13 

9.36 

4063.21 

7.05 

4598.33 

3.45 

.80 

588.10 

5.73 

1316.15 

8.63 

2258.11 

9.92 

3237.49 

9.35 

4070.26 

7.02 

4601.78 

3.41 

.81 

593.83 

5.77 

1324.78 

8.65 

2268.03 

9.93 

3246.84 

9.33 

4077.28 

6.99 

4605.19 

3.37 

.82 

599.60 

5.80 

1333.43 

8.68 

2277.96 

9.93 

3256.17 

9.32 

4084.27 

6.96 

4608.56 

3.33 

.83 

605.40 

5.84 

1342.11 

8.69 

2287.89 

9.93 

3265.49 

9.30 

4091.23 

6.93 

4611.89 

3.29 

.84 

611.24 

5.87 

1350.80 

8.71 

2297.82 

9.93 

3274.79 

9.28 

4098.16 

6.90 

4615.18 

3.25 

.85 

617.11 

5.91 

1359.51 

8.74 

2307.75 

9.94 

3284.07 

9.27 

4105.06 

6.87 

4618.43 

3.20 

.86 

623  02 

5.94 

1368.25 

876 

2317.69 

9.95 

3293.34 

9.26 

4111.93 

6.84 

4621.63 

3.17 

.87 

628.96 

5.98 

1377.01 

8.77 

2327.64 

9.94 

3302.60 

9.24 

4118.77 

6.81 

4624.80 

3.14 

.88 

631.94 

6.01 

1385.78 

8.81 

2337.58 

9.94 

3311.84 

9.22 

4125.58 

6.77 

4627.94 

3.08 

.89 

640.95 

6.04 

1394.57 

8.82 

2347.52 

9.95 

3321.06 

9.21 

4132.35 

6.74 

4631.02 

3.05 

.90 

646.99 

6.08 

1403.41 

8.83 

2357.47 

9.95 

3330.27 

9.19 

4139.09 

6.71 

4634.07 

3.00 

.91 

653.07 

6.12 

1412.24 

8.SO 

2367.42 

9.95 

3339.46 

9.17 

4145.80 

6.67 

4637.07 

2.96 

.92 

659.19 

6.14 

1421.10 

8.88 

2377.37 

9.95 

3348.63 

9.15 

4152.47 

6.65 

4640.03 

2.92 

.93 

66533 

6.19 

1429.98 

8.90 

2387.32 

9.95 

3357.78 

9.14 

4159.12 

6.61 

4642.95 

2.88 

.94 

671.52 

6.21 

1438.88 

8.91 

2397.27 

9.96 

3366.92 

9.11 

4165.73 

6.58 

4645.83 

2.84 

.95 

677.73 

6.25 

1447.79 

8.94 

2407.23 

9.95 

3376.03 

9:10 

4172.31 

6.55 

4648.67 

2.80 

.96 

683.98 

6.28 

1456.73 

8.95 

2417.18 

9.96 

3385.13 

9.09 

4178.86 

6.51 

4651.47 

2.75 

.97 

690.26 

6.32 

1465.68 

8.98 

2427.14 

9.96 

3394.22 

9.07 

4185.37 

6.48 

4654.22 

2.72 

.98 

696.58 

6.35 

1474.66 

8.99 

2437.10 

9.96 

3403.29 

9.04 

4191.85 

6.45 

4656.94 

2.67 

.99 

702.93 

6.39 

1483.65 

9.02 

2447.06 

9.96 

3412.33 

9.03 

4198.30 

6.42 

4659.61 

2.64 

1.00 

70J.32 

6.41 

1492.67 

9.03 

2457.02 

9.96 

3421.36 

9.02 

4204.72 

6.39 

4662.25 

2.59 

113 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02  —  122".l  sin.  t  -f  2371".0  sin.  2<  +  0".9  sin.  St  -\-  14".4  sin.  41. 

Period,  29.530587997  davs. 


Days.    18 

19 

20 

91 

22 

23 

Decimals 
of  a  Day. 

Equation. 

DifT. 

Equation. 

Hiir 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equal  ion. 

Diff. 

.00 

4662.25 

2.59 

4712.54 

1.64 

4350.06 

5.53 

3642.21 

8.43 

2714.21 

9.86 

1726.64 

9.60 

.01 

4664.84 

2.53 

4710.90 

1.68 

4344.53 

5.58 

8683.78 

8.46 

2704.35 

9.87 

1717.01 

9.58 

.02 

4667.39 

2.51 

4709.22 

1.72 

4338.95 

5.60 

3625.32 

8.48 

2694.48 

9.88 

1707.46 

9.57 

.03 

4669.90 

2.47 

4707.50 

1.76 

4333.35 

5.65 

3616.81 

8.51 

2684.60 

9.88 

1697.89 

9.56 

.04 

4672.37 

2.42 

4705.74 

1.81 

4327.70 

5.67 

3608.33 

8.52 

2674.72 

9.89 

1688.33 

9.55 

.05 

4674.79 

2.39 

4703.93 

1.85 

4322.03 

5.71 

3599.81 

8.55 

2664.83 

9.89 

1678.78 

9.54 

.06 

467.7.18 

2.3  1 

4702.08 

1.88 

4316.32 

5.75 

3591.26 

8.57 

2654.94 

9.90 

1669.24 

9.53 

.07 

4679.52 

2.30 

4700.20 

1.93 

4310.57 

577 

3582.69 

8.58 

2645.04 

9.91 

1659.71 

9.51 

.08 

4681.82 

2.26 

4698.27 

1.98 

4304.80 

5.82 

3574.11 

8.61 

2635.14 

9.91 

1650.20 

9.50 

.09 

4684.08 

2.21 

4696.29 

2.01 

4298.98 

5.85 

3565.50 

8.63 

2625.23 

9.91 

1640.70 

9.48 

.10 

4686.29 

2.18 

4694.28 

2.05 

4293.13 

5.88 

3556.87 

8.66 

2615.32 

9.92 

1631.22 

9.48 

.11 

4688.47 

2.13 

4692.23 

2.10 

4287.25 

5.91 

3548.21 

8.67 

2605,40 

9.92 

1621.74 

9.46 

.12 

4690.60 

2.10 

4690.13 

2.14 

4281.34 

5.95 

3539.54 

8.69 

2595.48 

9.92 

1612.28 

9.45 

.13 

4692.70 

2.05 

4687.99 

2.17 

4275.39 

5.99 

3530.85 

8.72 

2585.56 

9.93 

1602.83 

9.43 

.14 

4694.75 

2.01 

4685  82 

2.22 

4269.40 

6.01 

3522.13 

8.73 

2575.63 

9.93 

1593.40 

9.42 

.15 

4696.76 

1.97 

4683.60 

2.25 

4263.39 

6.05 

3513.40 

8.75 

2665,70 

9.93 

1583.98 

9.41 

.16 

4698.73 

1.93 

4681.35 

2.31 

4257.34 

6.08 

3501.65 

8.78 

2565.77 

9.94 

1574.57 

9.39 

.17 

4700.66 

1.88 

4679.04 

2.34 

4251.26 

6.12 

3495.87 

8.79 

2545.88 

9.95 

1565.18 

9.38 

.18 

4702.54 

1.84 

4676.70 

2.38 

4245.14 

6.15 

3487.08 

8.81 

2685.88 

9.94 

1555.80 

9.37 

.19 

4704.38 

1.80 

4674.32 

2.43 

4238.99 

6.18 

3478.27 

8.83 

2525.94 

9.94 

1546.48 

9.35 

.20 

4706.18 

1.75 

4671.89 

2.47 

4232.81 

6.22 

3469.44 

8.86 

2516.00 

9.96 

1537.08 

9.33 

.21 

4707.93 

1.72 

4669.42 

2.50 

IMV!';  .')!! 

6.24 

3460.58 

8.87 

2506.04 

9.95 

1527.75 

9.33 

.22 

4709.65 

1.67 

4666.92 

2.55 

4230.35 

6.28 

3451.71 

8.89 

2496.09 

9.95 

1518.42 

9.30 

.23 

471132 

1.63 

4664.37 

2.59 

4314.07 

6.32 

3  1  12.S2 

8.90 

2isi;.i  i 

9.96 

1509.12 

9.29 

.24 

4712.95 

1.59 

4661.78 

2.63 

4207.75 

6.33 

3133.92 

8.93 

2176.18 

9.96 

1499.83 

9.28 

.25 

4714.51 

1.54 

4659.15 

2.67 

4201.42 

6.38 

3424.99 

8.95 

2466.22 

9.96 

1490.55 

9.26 

.26 

4716.08 

1.50 

4656.48 

2.72 

4195.01 

6.41 

3110.01 

8.96 

2456.26 

9.96 

1481.29 

9.25 

.27 

4717.58 

1.46 

4653.76 

2.75 

4168.63 

6.44 

3407.08 

8.98 

2446.30 

9.96 

1472.04 

9.23 

.28 

471  9.01 

1.42 

4651.01 

2.79 

4182.19 

6.48 

8898.10 

9.00 

2436.34 

9.97 

1462.81 

9.21 

.29 

4720.46 

1.38 

4648.22 

2.84 

4175.71 

6.50 

3389.10 

902 

2426.37 

9.96 

1453.60 

9.20 

.30 

4721.84 

1.33 

4645.38 

2.87 

4169.21 

6.54 

3380.08 

9.03 

2416.41 

9.97 

1444.40 

9.18 

.31 

4723.17 

1.29 

4642.51 

2.92 

4162.67 

6.57 

3371.05 

9.06 

2  406.44 

9.97 

1435.22 

9.16 

.32 

47-JI.46 

1.26 

4639.59 

2.95 

4156.10 

6.60 

3361.99 

9.07 

2396.47 

9.97 

1426.06 

9.15 

.33 

4725.72 

1.21 

4636.64 

2.99 

4149.50 

663 

3352.92 

9.09 

2386.50 

9.96 

1416.91 

9.13 

.34 

4726.93 

1.16 

4688.65 

3.02 

4142.87 

6.66 

3343.83 

9.10 

2376.51 

9.97 

1407.78 

9.12 

.35 

4728.09 

1.12 

4630.63 

3.10 

4136.21 

6.70 

3331.73 

9.12 

236(5.57 

9.97 

1398.66 

9.10 

.36 

4729.21 

1.08 

4627.53 

3.12 

4129.51 

6.72 

8835.61 

9.14 

2856.60 

9.97 

1889.56 

9.08 

.37 

4730.29 

1.04 

4624.41 

3.16 

1193.79 

6.76 

3316.47 

9.16 

2346.63 

9.97 

1880.48 

9.06 

.38 

4731.33 

0.99 

4621.25 

3.19 

4116.03 

6.79 

3307.31 

9.17 

2386.66 

9.96 

1871.43 

9.05 

.39 

4732.32 

0.95 

4618.06 

3.--.'  1 

4109.24 

6.81 

3298.14 

9.18 

2326.70 

9.97 

1362.37 

9.03 

.40 

1733.27 

0.91 

4614.82 

us 

4102.43 

6.85 

3288.96 

921 

2316.73 

9.97 

1858.34 

9.01 

.41 

47.'5  1.  IN 

0.87 

4611.51 

3.32 

4095.58 

6.88 

3279.75 

9.22 

2306.76 

9.96 

1311.33 

8.99 

.42 

4735.05 

0.82 

460822 

3.35 

1088.71 

691 

3270.53 

9.23 

2296.80 

9.96 

1335.31 

8.98 

.43 

4735.87 

0.78 

4601.87 

3.40 

4081.79 

6.94 

3261.30 

9.25 

2286.84 

9.96 

1826.36 

8.95 

.44 

4736.65 

0.74 

4601.47 

3.44 

4074.85 

6.97 

3252.05 

9.27 

2276.88 

9.96 

1317.41 

8.94 

.45 

4737.39 

0.70 

4598.03 

3.47 

4067.88 

7.00 

3242.78 

9.28 

2266.92 

9.96 

1308.47 

8.92 

.46 

473S.O! 

0.65 

4594.56 

8.59 

4060.88 

7.03 

3233.50 

9.30 

2256.96 

9.96 

1299.55 

8.90 

.47 

173x71 

0.61 

4591.04 

3.56 

4058.85 

7.06 

3224.20 

!».31 

2247.00 

9.95 

1290.65 

8.88 

.48 

173!>.3f 

0.57 

4587.48 

3.59 

4046.79 

7.08 

3214.89 

9.32 

2237.05 

9.95 

1281.77 

8.87 

.49 

4739.9;. 

0.54 

4588.89 

8.68 

4039.71 

7.11 

3205.57 

9.84 

2227.10 

9.95 

1272.90 

8.85 

.50 

47  10.  If 

0.47 

4580.26 

3.67 

4032.60 

7.15 

3196.23 

9.35 

2217.15 

9.95 

1264.05 

8.82 

114 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02  —  122".  1  sin.  t  +  2371". 0  sin.  2t  +  0".9  sin.  3t  +  14".4  sin.  4*. 

Period,  29.530587997  days. 


Days.     1  8 

19 

20 

21 

22 

23 

Decimal* 

of  a  Day. 

K>iii;iiiou. 

Diff 

Equation. 

Diir. 

Equation. 

Biff. 

Ki|u;Uiim, 

DiflT. 

Equation 

r>i  ir. 

Equation. 

Diff. 

.50 

4740.46 

0.47 

4580.26 

3.67 

4032.60 

7.15 

3196.23 

9.35 

2217.15 

9.95 

1264.05 

8.82 

.51 

4740  93 

0,45 

4576.59 

3.71 

4025.45 

7.17 

3186.88 

9.37 

2207.20 

9.94 

1255.23 

8.81 

.52 

4741.38 

0.40 

4572.88 

3.75 

4018.28 

7.21 

3177.51 

9.39 

2197.26 

9.94 

1246.42 

8.79 

.53 

4741.78 

0.35 

4569.13 

3.80 

4011.07 

7.23 

3168.12 

9.40 

2187.32 

9.94 

1237.63 

8.77 

.54 

4742.13 

0.32 

4565.33 

3.83 

4003.84 

7.26 

3158.72 

9.41 

2177.38 

9.93 

1228.86 

8.75 

.55 

4742.45 

0.27 

4561.50 

3.86 

3996.58 

7.29 

3149.31 

9.42 

2167.45 

9.93 

1220.11 

8.72 

.56 

4742.72 

0.21 

4557.64  3.91 

3989.29 

7.32 

3139.89 

9.43 

2157.52 

9.93 

1211.39 

8.70 

.57 

4742.93 

0.20 

4553.73  3.95 

3981.97 

7.35 

3130.46 

9.46 

2147.59 

9.93 

1202.69 

8.68 

.58 

4743.13 

0.14 

4549.78  3.98 

3974.62 

7.38 

3121.00 

9.47 

2137.66 

9.91 

1194.01 

8.66 

.59 

4743.27 

0.10 

4545.80 

4.03 

3967.24 

7.40 

3111.53 

9.48 

2127.75 

9.92 

1185.35 

8.65 

.60 

4743.37 

0.05 

4541.77 

4.06 

3959.84 

7.43 

3102.05 

9.49 

2117.83 

9.91 

1176.70 

8.62 

.61 

4743.42 

0.02 

4537.71 

4.10 

3952.41 

7.46 

3092.56 

9.50 

2107.92 

9.91 

1168.08 

8.60 

.62 

4743.44 

0.03 

4533.61 

4.14 

3944.95 

7.49 

3083.06 

9.52 

2098.01 

9.90 

1159.48 

8.58 

.63 

4743.41 

0.07 

4529.47 

4.18 

3937,46 

7.52 

3073.54 

9.52 

2088.11 

9.90 

1150.90 

6.56 

.64 

4743.34 

0.12 

4525.29 

4.22 

3929.94 

7.54 

3064.02 

9.54 

2078.21 

9.89 

1  142.34 

8.53 

.65 

4743.22 

0.14 

4521.07 

4.26 

3922.40 

7.57 

3054.48 

9.56 

2068.32 

9.89 

1133.81 

852 

.66 

4743.08 

0.20 

4516.81 

4.29 

3914.83 

7.60 

3044.92 

9.56 

2058.43 

9.88 

1125.29 

8.49 

.67 

4742.88 

0.24 

'4512.52 

4.33 

3907.23 

7.62 

3035.36 

9.58 

2048.55 

9.87 

1116.80 

8.47 

.68 

4742.64 

0.29 

4508.19 

4.37 

3899.61 

7.65 

3025.78 

9.59 

2038.68 

9.87 

110833 

8.45 

.69 

4742.35 

0.32 

4503.82 

4.40 

3891.96 

7.68 

3016.19 

9.59 

2028.81 

9.86 

1099.88 

8.43 

.70 

4742.03 

0.37 

4499.42 

4.45 

3884.28 

7.70 

3006.60 

9.61 

2018.95 

9.86 

1091.45 

8.40 

.71 

4741.66 

0.42 

4494.97 

4.48 

3876.58 

7.73 

2996.99 

9.62 

2009.09 

9.85 

1083.05 

8.39 

.72 

4741.24 

0.45 

4490.49 

4.52 

3868.85 

7.76 

2987.37 

9.64 

1999.24 

9.85 

1074.66 

8.35 

.73 

4740.79 

0.50 

4485.97 

4.55 

3861.09 

7.78 

2977.73 

9.64 

1989.39 

9.84 

1066.31 

8.34 

.74 

4740.29 

0.54 

4481.42 

4.59 

3853.31 

7.81 

2968.09 

9.65 

1979.55 

9.83 

1057.97 

8.31 

.75 

4739.75 

0.58 

4476.83 

4.63 

3845.50 

7.84 

2958.44 

9.66 

1969.72 

9.82 

1049.66 

8.29 

.76 

4739.17 

0.62 

4472.20 

4.67 

3837.66 

7.86 

2948.78 

9.68 

1959.90 

9.82 

1041.37 

8.27 

.77 

4738.55 

0.67 

4467.53 

4.71 

3829.80 

7.89 

2939.10 

9.68 

1950.08 

9.81 

1033.10 

8.24 

.78 

4737.88 

0.71 

4462.82 

4.74 

3821.91 

7.91 

2929,42 

9.70 

1940.27 

9.81 

1024  86 

8.22 

.79 

4737.17 

0.75 

4458.08 

4.78 

3814.00 

7.94 

2919.72 

9.70 

1930.46 

9.79 

1016.64 

8.20 

.80 

4736.42 

0.79 

4453.30 

4.82 

3806.06 

7.96 

2910.02 

9.71 

1920.67 

9.79 

1008.44 

8.17 

.81 

4735.63 

0.84 

4448.48 

4.86 

3798.10 

7.99 

2900.31 

9.72 

1910.88 

9.78 

1000.27 

8.15 

.82 

4734.79 

0.85 

4443.6-2 

4.89 

3790.11 

8.01 

2890.59 

9.73 

1901.10 

9.77 

992.12 

8.12 

.83 

4733.94 

0.94 

4438.73 

4.92 

3782.10 

8.04 

2880.86 

9.74 

1891.33 

9.76 

984.00 

8.10 

.84 

4733.00 

0.96 

4433.81 

4.97 

3774.06 

8.06 

2871.12 

9.75 

1881.57 

9.75 

975.90 

8.07 

.85 

4732.04 

100 

4428.84 

5.00 

3766.00 

.8.09 

2861.37 

9.76 

1871.82 

9.75 

967.83 

8.05 

.86 

4731.04 

1.05 

4423.84 

5.04 

3757.91 

8.11 

2851.61 

9.76 

1862.07 

9.74 

959.78 

8.03 

.87 

4729.99 

1.09 

4418.80 

5.07 

37  19.80 

8.14 

2841.85 

9.78 

1852.33 

9.72 

951.75 

8.00 

.88 

4728.90 

1.13 

4413.73 

5.11 

3741.66  8.15 

2832.07 

9.78 

1842.61 

9.72 

943.75  7.97 

.89 

4727.77 

1.18 

4408.62 

5.14 

3733.51 

8.19 

2822.29 

9.79 

1832.89 

9.71 

935.78 

7.95 

.90 

4726.59 

1.22 

4403.48 

5.19 

3725.32 

820 

2812.50 

9.80 

1823.18 

9.70 

927.83 

7.93 

.91 

4725.37 

1.25 

4398.29 

5.21 

3717.12 

8.24 

2802.70 

9.80 

1813,48 

9.69 

919.90  7.90 

.92 

4724.12 

1.31 

439308 

5.26 

3708.88 

8.25 

2792.  90 

9.82 

1803.79 

9.68 

912.00  7.87 

.93 

4722.81 

1.34 

4387.82 

5.29 

3700.63 

8.28 

2783.08 

9.82 

1794.11 

9.67 

904.13  7.85 

.94 

4721.47 

1.39 

4382.53 

5.32 

3692.35 

8.30 

2773.26 

9.82 

1784.44 

9.66 

896.28 

7.82 

.95 

4720.08 

'1.42 

4377.21 

5.36 

3684.05 

8.32 

2763.44 

9.84 

1774  78 

9.65 

888.46: 

7.79 

.96 

4718.66 

1.47 

4371.85 

5.40 

3675.73 

8.35 

2753.60 

9.84 

1765.13 

9.64 

880.67|  7.77 

.97 

4717.19 

1.52 

4366.45 

5.43 

3667.38 

8.37 

2743.76 

9.84 

1755.49 

9.63 

872.90  7.74 

.98 

4715.67 

1.55 

4361.02 

5.47 

3659.01 

8.39 

2733.92 

9.86 

1745.86 

9.61 

865.16 

7.72 

.99 

4714.12 

1.58 

4355.55 

5.49 

3650.62 

8.41 

2724.06 

9.85 

1736.25  9.61 

857.44 

7.70 

1.00 

4712.54 

1.64 

4350.06 

5.53 

3642.21 

8.43 

2714.21 

9.86 

1726.64 

9.60 

849.74 

7.66 

115 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02  —  122".  1  sin.  t  -f  2371".0  sin.  2t  +  0".9  sin.  3t  -f  14" A  sin.  4t. 

Period,  29.530587997  days. 


Days.          34 

99 

M 

37 

28 

39 

Decimals 
of  a  Day. 

Equation. 

Biff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation, 

Diff. 

Equation. 

Diff. 

.00 

849.74 

7.66 

237.19 

4.36 

i'.02 

.23 

190.64 

4.02 

780.43 

7.64 

1670.35 

9.91 

.01 

812.08 

7.64 

232.83 

4.33 

0.79 

.19 

194.66 

4.07 

788.07 

7.66 

1680.26 

9.93 

.02 

834.44 

7.61 

228.50 

4.29 

0.60 

.15 

198.73 

4.10 

795.73 

7.70 

1690.19 

9-95 

.03 

826.83 

7.58 

224.21 

4.24 

0.45 

.10 

202.83 

4.15 

803.43 

7.73 

1700.11 

9-95 

.04 

819.25 

7.55 

219.97 

4.21 

0.35 

.06 

206.98 

4.19 

811.16 

7.76 

1710.09 

9.98 

.05 

811.70 

7.53 

215.76 

4.18 

0.29 

.00 

211.17 

4.23 

818.92 

7.78 

1720.07 

9.98 

.06 

804.17 

7.50 

211.58 

4.13 

0.29 

.01 

215.40 

4.26 

826.70 

7.82 

1730.05 

10.00 

.07 

796.67 

7.47 

207.45 

4.10 

0.30 

.07 

219.66 

4.31 

834.52 

7.85 

1740.05 

10.01 

.08 

789.20 

7.44 

203.35 

4.05 

0.37 

.12 

828.97 

4.35 

842.37 

7.88 

1750.06 

10.03 

.09 

781.76 

7.42 

199.30 

4.02 

0.49 

.15 

228.32 

4.39 

850.25 

7.91 

1760.09 

10.04 

.10 

774.34 

7.39 

195.28 

3.98 

0.64 

.20 

232.71 

4.43 

858.16 

7.94 

1770.13 

10.05 

.11 

766.95 

7.36 

191.30 

3.94 

0.84 

.25 

237.14 

4.46 

866.10 

7.97 

1780.18 

10.06 

.12 

759.59 

7.33 

187.36 

3.90 

1.09 

.28 

241.60 

4.51 

874.05 

7.99 

1790.24 

10.07 

.13 

752.26 

7.30 

183.46 

3.86 

1.37 

.33 

246.11 

4.55 

882.04 

8.02 

1800.31 

10.08 

.14 

744.96 

7.28 

179.60 

3.82 

1.70 

.38 

250.66 

4.58 

890.06 

8.05 

1810.39 

10.10 

.15 

737.68 

7.24 

175.78 

3.79 

2.08 

.41 

255.24 

4.63 

898.11 

808 

1820.49 

10.11 

.16 

730.44 

7.21 

171.99 

3.74 

2.49 

.45 

259.87 

4.67 

906.19 

8.11 

1830.60 

10.12 

.17 

723.23 

7.19 

168.25 

3.71 

2.94 

.51 

264.51 

4.71 

914.30 

8.14 

is  10.  72 

10.14 

.18 

716.04 

7.16 

164.5  1 

3.66 

3.45 

.55 

269.25 

4.74 

922.44 

8.16 

1850.86 

10.14 

.19 

708.88 

7.13 

160.88 

3.62 

4.00 

.59 

273.99 

4.79 

930.60 

8.19 

1861.00 

10.16 

.20 

701.75 

7.10 

157.26 

3.59 

4.59 

.63 

278.78 

4.82 

938.79 

8.22 

1871.16 

10.16 

.21 

694.65 

7.06 

153.67 

I!..-)  I 

5.23 

.68 

28360 

4.87 

it  17.  01 

8.25 

1881.32 

10.18 

.22 

687.59 

7.04 

150.13 

351 

r,.!)(i 

.72 

2SN.  17 

4.90 

955.26 

8.27 

1891.50 

10.19 

.23 

680.55 

7.01 

146.62 

3.46 

6.62 

.76 

398.87 

1.91 

963.53 

8.30 

1901.69 

10.20 

.24 

673.54 

6.99 

143.16 

3.43 

7.38 

.81 

298.31 

4.97 

971.83 

8.32 

1911.89 

10.20 

.25 

666.55 

6.95 

139.73 

3.38 

8.19 

.85 

303.28 

5.02 

980.15 

8.35 

1922.09 

10.21 

.26 

659.60 

6.92 

136.35 

3.35 

9.04 

.89 

308.30 

5.05 

988.50 

8.38 

1932.30 

10.22 

.27 

652.68 

6.89 

133.00 

3.30 

9.93 

.94 

313.35 

5.10 

996.88 

8.41 

1942.52 

10.24 

.28 

645.79 

686 

129.70 

3.27 

10.87 

.98 

318.45 

5.13 

1005.29 

8.44 

1952.76 

10.25 

.29 

638.93 

6.82 

12643 

&39 

11.85 

1.02 

323.58 

5.17 

1013.73 

8.46 

1963.01 

10.25 

.30 

632.11 

6.80 

123.21 

3.18 

12.87 

1.07 

328.75 

5.21 

1022.19 

8.48 

1973.26 

10.27 

.31 

625.31 

6.77 

120.03 

3.14 

13.94 

1.11 

333.96 

5.25 

1030.67 

8.52 

1983.53 

10.27 

.32 

618.54 

6.73 

116.89 

3.11 

15.05 

1.14 

339.21 

5.29 

1039.19 

8.54 

1998.80 

10.28 

.33 

611.81 

6.71 

113.78 

3.06 

16.19 

1.20 

84460 

5.33 

1047.73 

8.56 

2001.08 

10.29 

.34 

605.10 

6.67 

110.72 

3.03 

17.39 

1.21 

349.83 

5.36 

1056.29 

8.59 

2014.37 

10.30 

.35 

598.43 

6.64 

107.69 

2.97 

18.63 

1.28 

355.19 

5.40 

1064.88 

8.62 

808417 

10.30 

.36 

591.79 

6.61 

104.72 

2.94 

19.91 

1.33 

360.59 

5.43 

1073.50 

8.64 

203  1.97 

10.32 

.37 

585.18 

6.58 

101.78 

2.90 

21.24 

1.36 

366.02 

5.48 

1082.14 

8.66 

20152S     10.32 

.38 

578.60 

6.54 

98.88 

2.86 

22.60 

1.42 

371.50 

5.52 

1090.80 

8.69 

2055.60 

10.33 

.39 

572.06 

6.52 

96.02 

2.81 

24.02 

1.45 

377.02 

5.55 

1099.49 

8.72 

2065.98 

10.33 

.40 

565.54 

6.48 

93.21 

2.78 

25.47 

1.50 

382.57 

5.59 

1108.21 

8.74 

2076.26 

10.34 

.41 

559.06 

6.45 

90.43 

2.73 

26.97 

1.51 

388.16 

5.63 

1116.95 

8.76 

2086.60 

10.35 

.42 

552.61 

6.42 

87.70 

2.70 

88.5] 

159 

:i!>:i7!> 

5.66 

1125.71 

8.79 

2096.95 

10.36 

.43 

516.19 

6.38 

85.00 

2.65 

30.10 

L63 

399.45 

5.70 

1184.50 

8.82 

2107.31 

10.36 

.44 

539.81 

6.36 

82.35 

2.61 

31.72 

1.68 

405.15 

5.74 

1143.32 

8.83 

2117.67 

10.37 

.45 

533.45 

6.32 

79.74 

2.r»7 

33.40 

1.71 

410.89 

5.78 

1152.15 

8.87 

2128.01 

10.37 

.46 

527.13 

6.29 

77.17 

2.53 

35.  1  1 

1.76 

416.67 

5.81 

1161.02 

8.88 

2138.41 

10.38 

.47 

520.84 

6.25 

74.64 

2.48 

36.87 

1.80 

422.48 

5.85 

1169.90 

8.91 

2148.79 

10.39 

.is 

614.69 

6.22 

72.16 

2.  15 

38.67 

l.Nl 

428.33 

5.89 

1178.81 

8.93 

2159.18 

10.39 

.111 

508.81 

6.20 

69.71 

2.11 

40.51 

1.88 

434.22 

5.91 

1187.74 

8.95 

2169.57 

10.3!) 

.50 

502.17 

6.16 

67.30 

2.36 

42.39 

1.93 

440.13 

5.96 

1196.69 

8.98 

2179.96 

10.40 

116 


TABLE  VIII.    ARGUMENT  3. 

Equation  =  2457".02—  122".l  sin.  <-f  2371".0  sin.  2<  -f  0".9  sin.  3t  -\-  U"A  sin. 

Period,  29.530587997  days. 


Days.    24 

25 

26 

27 

28 

29 

Decimals 
of  a  Day. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

.50 

502.17 

6.16 

67.30 

2.36 

42.39 

1.93 

440.13 

5.96 

1196.69 

8.98 

2179.96 

10.40 

.51 

496.01 

6.12 

64.94 

2.32 

44.32 

1.97 

446.09 

5.99 

1205.67 

9.00 

2190.36 

10.41 

.52 

489.89 

6.09 

62.62 

2.28 

46.29 

2.01 

452.08 

6.03 

1214.67 

9.03 

2200.77 

10.41 

.53 

483.80 

6.06 

60.34 

2.24 

48.30 

2.06 

458.11 

6.07 

1223.70 

9.04 

2211.18 

10.41 

.54 

477.74 

6.02 

58.10 

2.19 

50.36 

2.10 

464.18 

6.11 

1232.74 

9.07 

2221.59 

10.42 

.55 

471.72 

5.99 

55.91 

2.16 

52.46 

2.14 

470.29 

6.14 

1241.81 

9.09 

2232.01 

10.43 

.56 

465.73 

5.95 

53.75 

2.11 

54.60 

2.19 

476.43 

6.17 

1250.90 

9.12 

2242.44 

10.43 

.57 

459.78 

5.92 

51.64 

2.07 

56.79 

2.23 

482.60 

6.21 

1260.02 

9.13 

2252  87 

10.43 

.58 

453.86 

5.89 

49.57 

2.02 

59.02 

2.27 

488.81 

6.25 

1269.15 

9.16 

2263.30 

10.44 

.59 

447.97 

5.85 

47.55 

1.99 

61.29 

2.32 

495.06 

6.28 

1278.31 

9.18 

2273.74 

10.43 

.60 

442.12 

5.82 

45.56 

1.94 

63.61 

2.35 

501.34 

6.31 

1287.49 

9.20 

2284.17 

10.44 

.61 

436.30 

5.79 

43.62 

1.90 

65.96 

2.39 

507.65 

6.36 

1296.69 

9.21 

2294.61 

10.44 

.62 

430.51 

5.75 

41.72 

1.86 

68.35 

2.44 

514.01 

6.39 

1305.90 

9.24 

2305.05 

10.45 

.63 

424.76 

5.71 

39.86 

1.82 

70.79 

2.49 

520.40 

6.42 

1315.14 

9.27 

2315.50 

10.45 

.64 

419.05 

5.68 

38.04 

1.77 

73.28 

2.52 

526.82 

6.47 

1324.41 

9.28 

2325.95 

10.45 

.65 

413.37 

5.65 

36.27 

1.73 

75.80 

2.57 

533.29 

6.48 

1333.69 

9.31 

2336.40 

1046 

.66 

407.72 

5.61 

34.54 

1.69 

78.37 

2.61 

539.77 

6.53 

1343.00 

9.32 

2346.86 

10.45 

.67 

402.11 

5.57 

32.85 

1.65 

80.98 

2.66 

5  1(5.30 

6.56 

1352.32 

9.35 

2357.31 

1046 

.68 

390.5  1 

5.54 

31.20 

1.60 

83.64 

2.69 

552.86 

6.60 

1361.67 

9.36 

2367.77 

10.46 

.69 

391.00 

5.51 

29.60 

1.57 

86.33 

2.74 

559.46 

6.63 

1371.03 

9.39 

2378.23 

10.46 

.70 

385.49 

5.47 

28.03 

1.52 

89.07 

2.79 

566.09 

6.67 

1380.42 

9.40 

2388.69 

10.46 

.71 

380.02 

5.43 

26.51 

1.47 

91.86 

2.82 

572.76 

6.70 

1389.82 

9.43 

2399.15 

10.46 

.72 

374.59 

5.40 

25.04 

1.44 

94.68 

2.86 

579.46 

6.73 

1399.25 

9.44 

2409.61 

10.47 

.73 

369.19 

5.36 

23.60 

1.39 

97.54 

2.91 

586.19 

6.77 

1408.69 

9.47 

2420.08 

10.47 

.74 

363.83 

5.34 

22.21 

1.36 

100.45 

2.94 

592.96 

6.80 

1418.16 

9.48 

2430.55 

10.46 

.75 

35849 

5.29 

20.85 

1.31 

103.39 

2.99 

599.7G 

6.8  i 

1427.64 

9.49 

0441.01 

10.47 

.76 

353.20 

5.26 

19.54 

1.26 

106.38 

3.04 

606.60 

6.87 

1437.13 

9.52 

2451.48 

10.47 

.77 

347.94 

5.22 

18.28 

1.22 

109.42 

3.07 

613.47 

6.90 

1446.65 

9.54 

2461.95 

10.46 

.78 

342.72 

5.18 

17.06 

1.18 

112.49 

3.12 

620.37 

6.94 

1456.19 

9.56 

2472.41 

10.47 

.79 

337.54 

5.15 

15.88 

1.14 

115.61 

3.16 

627.31 

6.97 

1465.75 

9.57 

2482.88 

10.46 

.80 

332.39 

5.11 

14.74 

1.09 

118.77 

3.20 

634.28 

7.00 

1475.32 

9.50 

2493.33 

10.47 

.81 

327.28 

5.07 

13.65 

1.05 

121.U7 

3.24 

611.28 

7.04 

1481  9i 

9.61 

2503.80 

10.46 

.82 

322.21 

5.04 

12.60 

1.01 

125.21 

3.29 

648.32 

7.06 

1494.52 

9.63 

2514.26 

10.47 

.83 

317.17 

5.00 

11.59 

.97 

128.50 

3.32 

655.38 

7.10 

1504.15 

9.65 

2524.73 

10.46 

.84 

312.17 

4.97 

10.62 

.92 

131.82 

3.37 

662.48 

7.13 

1513.80 

9.66 

2535.19 

10.46 

.85 

307.20 

4.93 

9.70 

.88 

135.19 

3.41 

669.61 

7.17 

1523.46 

9.68 

2545.65 

10.46 

.86 

302.27 

4.89 

8.82 

.83 

138.60 

3.44 

676.78 

7.19 

1533.14 

9.69 

2556.11 

10.46 

.87 

297.38 

4.85 

7.99 

.80 

142.04 

3.49 

683.97 

7.23 

1542.83 

9.71 

2566.57 

10.45 

.88 

292.53 

4.82 

7.19 

.75 

145.53 

3.54 

691.20 

7.27 

1552.54 

9.74 

2577.02 

10.46 

.89 

287.71 

4.78 

6.44 

.71 

149.07 

3.57 

698.47 

7.29 

1562.28 

9.74 

2587.48 

10.45 

.90 

282.93 

4.74 

5.73 

.66 

152.64 

3.62 

705.76 

7.33 

1572.02 

9.77 

2597.93 

10.44 

.91 

278.19 

4.70 

5.07 

.62 

156.26 

3.65 

713.09 

7.36 

1581.79 

9.78 

2608.37 

10.44 

.92 

273.49 

4.67 

4.45 

.58 

159.91 

3.70 

720.45 

7.39 

1591.57 

9.79 

2618.81 

10.44 

.93 

268.82 

4.63 

3.87 

.53 

163.61 

3.74 

727.84 

7.42 

1601.36  9.81 

2629.25 

10.44 

.94 

264.19 

4.59 

3.34 

.50 

167.35 

3.78 

735.26 

7.45 

1611.17 

9.82 

2639.69 

10.44 

.95 

259.60 

4.56 

2.84 

.45 

171.13 

3.82 

742.71 

7.48 

1620.99 

9.85 

2650.13 

10.43 

.96 

255.04 

4.51 

2.39 

.40 

174.95 

3.87 

750.19 

7.52 

1630.84  9.86 

2660.56 

10.43 

.97 

250.53 

4.48 

1.99 

.36 

178.82 

3.90 

757.71 

7.55 

1640.701  9.87 

2670.99 

10.42 

.98 

246.05 

4.44 

1.63 

.32 

182.72 

3.94 

765.26 

7.57 

1650.57 

9.88 

2681.41 

10.42 

.99 

241.61 

4.42 

1.31 

.29 

186.66 

3.98 

772.83 

7.60 

1660.45 

9.90 

2691.83 

10.42 

1.00 

237.19 

4.36 

1.02 

.23 

190.64 

4.02 

780.43 

7.64 

1670.35 

9.91 

2702.25 

10.42 

117 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670".3  sin.  z  —  7".9  sin.  2z. 
Period,  365.259687  days. 


Days.      O 

10 

90 

30 

40 

Pays. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

I 

0.0 

1340.68 

+.04 

1334.19 

-.16 

1307.89 

-.37 

1262.33 

—.55 

1198.72 

-.73 

0.1 

1340.72 

.03 

1334.03 

.17 

1307.52 

.36 

1261.78 

.55 

1197.99 

.72 

0.2 

1340.75 

.03 

1333.86 

.17 

1307.16 

.37 

1261.23 

.55 

1197.27 

.72  ' 

0.3 

1340.78 

.03 

1333.69 

.17 

1306.79 

.36 

1260.68 

.56 

1196.55 

.73 

0.4 

1340.81 

.02 

1333.52 

.17 

1306.43 

.37 

1260.12 

.55 

1195.82 

.73 

0.5 

1340.83 

.03 

1333.35 

.18 

1306.06 

.37 

1259.57 

.56 

1195.09 

.73 

0.6 

1340.86 

.02 

1333.17 

.18 

1305.69 

.38 

1259.01 

.56 

1194.31 

.73 

0.7 

1340.88 

.02 

1332.99 

.18 

1305.31 

.37 

1258.45 

.56 

1193.6! 

.73 

0.8 

13-40.90 

.02 

1332.81 

.18 

1304.94 

.38 

1257.89 

.57 

1192.90 

.74 

0.9 

1340.92 

.01 

1332.63 

.18 

1304.56 

.38 

1257.32 

.56 

1192.16 

.74 

1.0 

1340.93 

.02 

1332.45 

.19 

1304.18 

.38 

1256.76 

.57 

1191.42 

.73 

1.1 

1340.95 

.01 

1332.26 

.18 

1303.80 

.38 

1256.19 

.57 

1190.6! 

.74 

1.2 

1340.96 

.01 

1332.08 

.19 

1303.42 

.39 

1255.62 

.57 

1189.95 

.74 

1.3 

1340.97 

.01 

1331.89 

.19 

1303.03 

.38 

1255.05 

.57 

1189.21 

.75 

1.4 

1340.98 

.00 

1331.70 

.19 

1302.65 

.39 

1254.48 

.58 

1  188.46 

.74 

1.5 

1340.98 

.00 

1331.51 

.20 

1302.26 

.39 

1253.90 

.57 

1187.72 

.75 

1.6 

1340.98 

+.01 

1331.31 

.20 

1301.87 

.40 

1263.33 

.58 

1186.97 

.74 

1.7 

1340.99 

.00 

1331.11 

.20 

1301.47 

.39 

1252.75 

.58 

118653 

.75 

1.8 

1340.99 

-.01 

1330.91 

.20 

1301.08 

.40 

1252.17 

.58 

1185.48 

.75 

1.9 

1340.98 

.00 

1330.71 

.21 

1300.68 

.40 

1251.59 

.59 

1184^3 

.75 

2.0 

1340.98 

.01 

1330.50 

.20 

1300.28 

.40 

1251.00 

.58 

1183.98 

.76 

2.1 

1340.97 

.00 

1330.30 

.20 

1299.88 

.40 

1250.42 

.59 

1183.22 

.76 

2.2 

1340.97 

.01 

1330.10 

.21 

1299.48 

.40 

1249.83 

.59 

1182.46 

.75 

2.3 

1340.96 

.01 

1829.89 

.21 

1299.08 

.41 

1249.21 

.59 

1181.71 

.76 

2.4 

1340.95 

.02 

1329.68 

.22 

1298.67 

.41 

1248.65 

.59 

1  180.95 

.76 

2.5 

1340.93 

.01 

1329.46 

.21 

1298.26 

.41 

1248.06 

.59 

1180.19 

.76 

2.6 

1340  92 

.02 

1329.25 

.22 

1297.85 

.41 

1247*17 

.60 

1179.43 

.77 

2.7 

1340.90 

.02 

1329.03 

.22 

121)7.44 

.41 

1246.87 

.60 

1178.66 

.76 

2.8 

1340.88 

.03 

1328.81 

.22 

1297.03 

.42 

1246.27 

.60 

1177.90 

.77 

2.9 

1340.85 

.02 

1328.59 

.22 

1296.61 

.41 

1245.67 

.60 

1177.13 

.77 

3.0. 

1340.83 

.03 

1328.37 

.23 

1296.20 

.42 

1245.07 

.60 

1176.36 

.77 

3.1 

1340.80 

.03 

1328.14 

.22 

1295.78 

.42 

1244.47 

.61 

1175.59 

.77 

.'{.-,' 

1340.77 

.03 

1327.92 

.28 

1295.36 

.42 

1243.86 

.60 

117482 

.77 

3.3 

1340.71 

.03 

1327.69 

.23 

1294.94 

.43 

1243.26 

.<!! 

1  174.05 

.78 

3.4 

1340.71 

.03 

1327.46 

.24 

1294.51 

.43 

1242.65 

.61 

1  173.27 

.77 

3.5 

1340.68 

.04 

1327.22 

.23 

1294.08 

.43 

1242.04 

.61 

1  172.50 

.78 

3.6 

1340.64 

.01 

1326.99 

.24 

1298.65 

.43 

1241,43 

.62 

1171.72 

.78 

3.7 

1340.60 

.04 

13526,75 

.24 

1293.22 

.43 

1240.81 

.61 

1170.94 

.78 

:i.s 

1340.56 

.04 

1326.51 

.24 

1292.79 

.43 

1240.20 

.62 

1170.16 

.78 

:j.!» 

1310.52 

.04 

1326.27 

.24 

1292.36 

.44 

1239.58 

.62 

1169.38 

.79 

4.0 

1340.48 

.05 

1326.03 

.24 

1291.92 

.44 

1238.96 

.62 

1168.59 

.78 

4.1 

mo.  n 

.05 

1325,79 

.25 

1291.48 

.44 

1238.34 

.62 

1167.81 

.79 

LS 

1340.38 

.05 

1326.64 

£5 

1291.04 

.44 

1237.72 

.62 

11  07.02 

.79 

4.3 

1340..TJ 

.05 

1325.39 

.25 

1290.60 

.44 

1237.10 

.63 

1166.23 

.79 

4.4 

1340.28 

.05 

1326.04 

M 

1290.16 

.45 

1236.47 

.63 

1165.44 

.79 

45 

1340.23 

.06 

1324.79 

.26 

1289.71 

.45 

1235.8  1 

.68 

1164.65 

.79 

4.6 

1340.17 

.00 

1324,63 

.25 

1289.26 

.45 

1235.21 

.63 

1163.86 

.80 

4.7 

mo.  ii 

.06 

132438 

.26 

1288.81 

.45 

1234.58 

,63 

1163.06 

.79 

4.8 

]  310.05 

.o<; 

1324,02 

.26 

1288.36 

.45' 

1288.95 

.68 

1102.27 

.80 

4.9 

1339.99 

.00 

1323.76 

.27 

1287.91 

.46 

1238.32 

.(il 

1161.47 

.80 

5.0 

1339.93 

-.07 

1323.49 

—.26 

1287.45 

-.45 

1232.118 

-.64 

1160.67 

-.80 

118 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670". 3  sin.  z  —  7".9  sin.  2z. 
Period,  365,259687  days. 


Days.      O 

10 

M 

30 

40 

Days. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

I)  fference. 

d. 

5.0 

1339.93 

-.07 

1323.49 

-.26 

1287.45 

-.45 

1232.68 

-.64 

1160.67 

-.80 

5.1 

1339.86 

.07 

1323.23 

.27 

1287.00 

.46 

1232.04 

.64 

'  1159.87 

.80 

5.2 

1339.79 

.07 

1322.96 

.26 

1286.54 

.46 

1231.40 

.64 

1159.07 

.81 

5.3 

1339.72 

.07 

1322.70 

.27 

1286.08 

.47 

1230.76 

.64 

1158.26 

.80 

5.4 

1339.65 

.07 

1322.43 

.28 

1285.61 

.46 

1230.12 

.64 

1157.46 

.81 

5.5 

1339.58 

.08 

1322.15 

.27 

1285.15 

.47 

1229.48 

.65 

1156.65 

.81 

5.6 

1339.50 

.07 

1321.88 

.27 

128  L68 

.47 

1228.83 

.65 

1155.84 

.80 

5.7 

1339.43 

.08 

1321.61 

.28 

1281.21 

.47 

1228.18 

.65 

1155.04 

.82 

5.8 

1339.35 

.09 

1321.33 

.28 

1283.74 

.47 

1227.53 

.65 

1154.22 

.81 

5.9 

1339.26 

.08 

1321.05 

.29 

1283.27 

.47 

1226.88 

.65 

1153.41 

.81 

6.0 

1339.18 

.09 

1320.76 

.28 

1282.80 

.48 

1226.23 

.66 

1152.60 

.82 

6.1 

1339.09 

.08 

1320.48 

.29 

1282.32 

.47 

1225.57 

.65 

1151.78 

.81 

6.2 

1339.01 

.09 

1320.19 

.28 

1281.85 

.48 

1224.92 

.66 

1150.97 

.82 

6.3 

1338.92 

.10 

1319.91 

.29 

1281.37 

.48 

1224.26 

.66 

1150.15 

.82 

6.4 

1338.82 

.09 

1319.62 

.30 

1280.89 

.49 

1223.60 

.66 

1149.33 

.82 

6.5 

1338.73 

.10 

1319.32 

.29 

1280.40 

.48 

1222.94 

.67 

1148.51 

.83 

6.6 

1338.63 

.09 

1319.03 

.30 

1279.92 

.49 

1222.27 

.66 

1147.68 

.82 

6.7 

1338.54 

.10 

1318.73 

.29 

1279.43 

.49 

1221.61 

.67 

1146.86 

.83 

6.8 

1338.44 

.10 

1318.44 

.30 

1278.94 

.49 

1220.94 

.67 

1  146.03 

.83 

6.9 

1338.34 

.11 

1318.14 

.30 

1278.45 

.49 

1220.27 

.67 

1145.20 

.82 

7.0 

1338.23 

.10 

1317.84 

.31 

1277.96 

.49 

1219.60 

.67 

1144.38 

.84 

7.1 

1338.13 

.11 

1317.53 

.30 

1277.47 

,  .50 

1218.93 

.67 

1143.54 

.83 

7.2 

1338.02 

.11 

1317.23 

.31 

1276.97 

.50 

1218.26 

.68 

1142.71 

.83 

7.3 

1337.91 

.11 

1316.92 

.31 

1276.47 

.50 

1217.58 

.68 

1141.88 

.84 

7.4 

1337.80 

.12 

1316.61 

.31 

1275.97 

.50 

1216.90 

.68 

1141.04 

.83 

7.5 

1337.G8 

.11 

1316.30 

.32 

1275.47 

.50 

1216.22 

.68 

1140.21 

.84 

7.6 

1337.57 

.12 

1315.98 

.31 

1274.97 

.51 

1215.54 

.68 

1139.37 

.84 

7.7 

1337.45 

.12 

1315.67 

.32 

1274.46 

.51 

1214.86 

.68 

1138.53 

.84 

7.8 

1337.33 

.12 

1315.35 

.32 

1-275.95 

.51 

1214.18 

.69 

1137.69 

.84 

7.9 

1337.21 

.13 

1315.03 

.32 

1273.44 

.51 

1213.49 

.68 

1136.85 

.85 

8.0 

1337.08 

.12 

1314.71 

.32 

1272.93 

.51 

1212.81 

.09 

1136.00 

.84 

8.1 

1336*96 

.13 

1314.39 

.33 

1272.42 

.51 

1212.12 

.69 

1135.16 

.85 

8.2 

1336.83 

.18 

1314.06 

.32 

1271.91 

.52 

1211.43 

.70 

1134.31 

.85 

8.3 

1336.70 

.13 

1313.74 

.33 

1271.39 

.52 

1210.73 

.69 

1133.46 

.84 

8.4 

1336.57 

.13 

1313.41 

.33 

1270.87 

.52 

1210.04 

.70 

1132.62 

.86 

8.5 

1336.44 

.14 

1313.08 

.34 

1270.35 

.52 

1209.34 

.69 

1131.76 

.85 

8.6 

1336.30 

.14 

1312.74 

.33 

1269.83 

.52 

1208.65 

.70 

1130.91 

.85 

8.7 

1336.16 

.14 

1312.41 

.34 

1269.31 

.53 

1207.95 

.70 

1130.06 

.86 

8.8 

1336.02 

.14 

1312.07 

.33 

1268.78 

.53 

1207.25 

.71 

1129.20 

.85 

8.9 

1335.88 

.15 

1311.74 

.34 

1268.25 

.53 

1206.54 

.70 

1128.35 

.86 

9.0 

1335.73 

.14 

1311.40 

.35 

1267.72 

.53 

1205.84 

.70 

1127.49 

.86 

9.1 

1335.59 

.15 

1311.05 

.34 

1267.19 

.53 

1205.14 

.71 

1126.63 

.86 

9.2 

1335.44 

.14 

1310.71 

.35 

1266.66 

.54 

1204.43 

.71 

1125.77 

.86 

9.3 

1335.30 

.16 

1310.36 

.34 

1266.12 

.53 

1203.72 

.71 

1124.91 

.87 

9.4 

1335.14 

.15 

1310.02 

.35 

1265.59 

.54 

1203.01 

.71 

1124.04 

.86 

9.5 

1334.99 

.16 

1309.67 

.36 

1265.05 

.54 

1202.30 

.71 

1123.18 

.87 

9.6 

1334.83 

.16 

1309.31 

.35 

1264.51 

.54 

1201.59 

.72 

1122.31 

.87 

9.7 

1334.67 

.15 

1308.96 

.36 

1263.97 

.55 

1200.87 

.72 

1121.44 

.87 

9.8 

1334.52 

.16 

1308.60 

.36 

1263.42 

.54 

1200.15 

.71 

1120.57 

.87 

9.9 

1334.36 

-.17 

1308.24 

—.35 

1262.88 

—.55 

1199.44 

-.72 

1119.70 

-.87 

10.0 

1334.19 

1307.89 

1262.33 

1198.72 

1118.83 

119 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670 '.500 —  670".3  sin.  z  —  7''.9  sin.  2z. 
Period,  365^59687  days. 


Da 

vs.          «5 

» 

64 

> 

7< 

» 

81 

9 

•) 

» 

Days. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference 

Equation. 

Difference. 

Equation. 

Difference. 

I 

0.0 

1118.83 

-.87 

1025.03 

-1.00 

920.14 

—1.09 

80f.4S 

—1.16 

690.38 

-1.18 

0.1 

1117.96 

.88 

1024.03 

1.00 

919.05 

1.10 

N00.26 

1.15 

<i,s!).'.!0 

1.18 

0.2 

1  1  17.08 

.87 

1023.03 

1.00 

917.95 

1.09 

805.11 

1.16 

688.02 

.18 

0.3 

1116.21 

.88 

1022.03 

1.01 

916.S6 

1.10 

803.98 

149 

686.84 

.18 

0.4 

1115.33 

.88 

1021.02 

1.00 

915.76 

1.10 

802.80 

1.16 

685.66 

.18 

0.5 

1114.45 

.89 

1020.02 

1.01 

914.66 

1.09 

801.64 

1.16 

081.18 

.18 

0.6 

1113.56 

.87 

1019.01 

1.00 

913.57 

1.10 

800.48 

1.15 

Os:j..-io 

.17 

0.7 

1112.69 

.89 

1018.01 

1.01 

912.47 

1.10 

7:)!).:',:! 

1.16 

682.18 

.18 

0.8 

1111.80 

.88 

1017.00 

1.01 

911.37 

1.10 

798.17 

1.16 

(ISO.!).-) 

.19 

0.9 

1110.92 

.89 

1015.99 

1.00 

910.27 

1.10 

797.01 

1.16 

679.76 

1.18 

1.0 

1110.03 

.88 

1014.99 

1.01 

909.17 

1.11 

795.85 

1.16 

678.58 

1.17 

1.1 

1109.15 

.89 

1013.98 

1.02 

908.06 

1.10 

794.69 

1.16 

677.41 

1.18 

1.2 

1108.26 

.89 

1012.96 

1.01 

906.96 

1.10 

793.53 

1.16 

676.23 

1.19 

.3 

1107.37 

.89 

1011.95 

1.01 

905.86 

1.11 

7!»2.:i7 

1.16 

075.01 

1.18 

.4 

1106.48 

.90 

1010.94 

1.01 

!)01.7:> 

1.10 

791.21 

1.16 

(i7:i.Nti 

1.18 

.5 

1  105.58 

.89 

1009.93 

1.02 

903.65 

1.11 

790.05 

1.16 

072.08 

1.18 

.6 

1  104.69 

.90 

1008.91 

1.02 

902.51 

1.10 

788.S9 

1.16 

671.50 

1.18 

.7 

1103.79 

.89 

1007.89 

1.01 

901.44 

1.11 

787.73 

1.16 

670.32 

1.18 

1.8 

1102.90 

.90 

1006.88 

1.02 

900.33 

1.11 

786.57 

1.17 

669.14 

1.18 

1.9 

1102.00 

.90 

1005.86 

I.OB 

899.22 

1.11 

785.40 

1.16 

667.96 

1.18 

2.0 

1101.10 

.90 

1004.84 

1.02 

898.11 

1.10 

784.24 

1.16 

660.78 

1.18 

2.1 

1  100.20 

.90 

1003.82 

1.03 

897.01 

1.11 

783.08 

1.16 

665.60 

1.18 

2.2 

1099.30 

.91 

1002.79 

1.02 

895.90 

1.12 

781.92 

1.17 

OOI.lv! 

1.18 

2.3 

1098.39 

.90 

1001.77 

1.02 

894.78 

1.11 

780.75 

1.16 

663.24 

1.18 

2.4 

1097.49 

.91 

1000.75 

1.03 

893.67 

1.11 

779.59 

1.17 

662.06 

1.18 

2.5 

1096.58 

.91 

999.72 

1.02 

892.56 

1.11 

778.42 

1.16 

660.88 

1.18' 

2.6 

1095.67 

.91 

!l!ts.7() 

1.03 

891.45 

1.11 

777.26 

1.17 

(15!).  70 

1.18 

2.7 

1094.76 

.91 

997.67 

1.03 

890.34 

1.12 

776.09 

1.16 

658.89 

1.18 

2.8 

1093.85 

.91 

996.64 

1.03 

889.22 

1.11 

774.93 

1.17 

057.31 

1.IS 

2.9 

1092.94 

.91 

995.61 

1.03 

888.11 

1.12 

773.70 

1.16 

656.16 

1.18 

3.0 

1092.03 

.91 

994.58 

1.03 

886.99 

1.11 

772.60 

1.17 

654.98 

1.18 

3.1 

1091.12 

.92 

993.55 

1.03 

885.88 

1.12 

771.43 

1.17 

633.80 

1.18 

3.2 

1090.20 

.92 

992.52 

1.03 

884.76 

1.12 

770.26 

•  1.16 

652.62 

1.18 

3.3 

1089.28 

.91 

991.49 

1.04 

883.64 

1.11 

769.10 

1.17 

661(44 

1.18 

3.4 

10HS.37 

.92 

990.45 

1.03 

882.53 

1.12 

767.93 

1.17 

650.26 

1.18 

3.5 

1087.45 

.92 

989.42 

1.01 

881.41 

1.12 

766.76 

1.17 

019.08 

1.18 

3.6 

10M(i.:»:t 

.93 

988<M 

1.03 

880.29 

1.12 

765.59 

1.17 

647.«0 

1.18 

3.7 

los:».(i(t 

.92 

98TJM 

1.04 

879.17 

1.12 

764.43 

1.16 

010.72 

1.18 

3.8 

1084.68 

.92 

986.81 

1.04 

878.05 

1.13 

703.20 

1.17 

645,54 

1.18 

M 

1083.76 

.93 

985.27 

1.04 

876.92 

1.12 

762.09 

1.17 

01  l.:t(i 

1.17 

4.0 

10S-JS.! 

.93 

984.23 

1.04 

875.80 

.12 

700.92 

1.17 

<ii:i.l!i 

1.18 

4.1 

losi.no 

.92 

988.19 

1.01 

874.68 

.12 

759.75 

1.17 

(it'.'.  01 

1.1N 

4.2 

lONO.il.- 

.93 

983.  HI 

i.or. 

S7&M 

.13 

75s.5s 

1.17 

(i  IO.S3 

1.18 

4.3 

IONO.O.-, 

.94 

iisl.10 

1.01 

872.43 

.12 

757.41 

1.17 

639.65 

us 

4.4 

107ii.Il 

.93 

98061 

1.05 

s7  1  .:<  I 

.13 

756.24 

1.17 

<i:!s.  17 

1.18 

45 

107s.  1- 

.93 

!»7!).()1 

.01 

870.18 

.12 

755.07 

1.17 

637.29 

1.18 

•l.ii 

1077.-J.'. 

.94 

977.97 

.().-> 

860:66 

.13 

768,90 

1.17 

686.11 

1.18 

4.7 

H)7»;.:;i 

.93 

976.92 

.0:, 

867  A3 

.11 

788.78 

1.17 

634.93 

1.18 

4.8 

1076.88 

.94 

975.87 

.05 

866.80 

.It 

7.r»i.r.r, 

1.18 

633.75 

1.17 

4.9 

107l.lt 

.94 

974.82 

.05 

865.67 

.12 

76O88 

1.17 

632.5.S 

1.18 

5.0 

1073.50 

-M 

973.77 

-  .05 

864.55 

-1.13 

7  19.21 

-1.17 

631.40 

—1.18 

120 


TABLE  IX.    ARGUMENT  4. 


Equation  =  670".500  —  670".3  sin.  z  —  7".9  sin.  2z. 
Period,  365.259687  days. 


Days.           5O 

60 

70 

SO 

9O 

Days. 

Kiiuaiion. 

Difference. 

Equation. 

tUffMMMi 

Equation. 

Difference. 

Equation. 

Difference. 

Equal  ioi1. 

Difference. 

d. 

5.0 

1073.50 

-  .94 

973.77 

-1.05 

864.55 

-1.13 

749.21 

-1.17 

631.40 

—1.18 

5.1 

1072.56 

.94 

972.72 

1.05 

863.42 

1.13 

748.04 

1.17 

630.22 

1.18 

5.2 

1071.62 

.94 

971.67 

1.05 

862.29 

1.13 

746.87 

1.17 

629.04 

1.18 

5.3 

1070.68 

.94 

970.62 

1.06 

861.16 

1.13 

745.70 

1.18 

627.86 

1.18 

5.4 

1069.74 

.95 

969.56 

1.05 

860.03 

1.14 

744.52 

1.17 

626.68 

1.17 

5.5 

1068.79 

.95 

968.51 

1.06 

858.89 

1.13 

743.35 

'  1.17 

625.51 

1.18 

5.6 

1067.84 

.94 

967.45 

1.05 

857.76 

1.13 

742.18 

1.18 

624.33 

1.18 

5.7 

1066.90 

.95 

966.40 

1.06 

856.63 

1.13 

741.00 

1.17 

623.15 

1.17 

5.8 

1065.95 

.95 

965.34 

1.06 

855.50 

1.14 

739.83 

L17 

621.98 

1.18 

5.9 

1065.00 

.95 

964.28 

1.05 

854.36 

1.13 

738.66 

1.18 

620.80 

1.18 

6.0 

1064.05 

.95 

963.23 

1.06 

853.23 

1.14 

737.48 

1.17 

619.62 

1.17 

6.1 

1063.10 

.96 

962.17 

1.06 

852.09 

1.13 

736.31 

1.18 

618.45 

1.18 

6.2 

1062.14 

.95 

961.11 

1.07 

850.96 

1.14 

735.13 

1.17 

617.27 

1.18 

6.3 

1061.19 

.96 

960.04 

1.06 

849.82 

1.14 

733.96 

1.18 

616.09 

1.17 

6.4 

1060.23 

.95 

958.98 

1.06 

848.68 

1.13 

732.78 

1.17 

614.92 

1.18 

6.5 

1059.28 

.96 

957.92 

1.07 

847.55 

1.14 

731.61 

1.18 

613.74 

1.17 

6.6 

1058.32 

.96 

956.85 

1.07 

846.41 

1.14 

730.43 

1.17 

612.57 

1.18 

6.7 

1057.36 

.96 

955.78 

1.06 

845.27 

1.14 

729.26 

1.18 

611.39 

1.18 

6.8 

1056.40 

.97 

954.72 

1.07 

844.13 

1.14 

728.08 

1.17 

610.21 

1.17 

6.9 

105543 

.96 

953.65 

1.07 

842.99 

1.14 

726.91 

1.18 

609.04 

1.18 

7.0 

1054.47 

.96 

952.58 

1.06 

841.85 

1.14 

725.73 

1.17 

607.86 

1.17 

7.1 

1053.51 

.97 

951.52 

1.07 

840.71 

1.14 

724.56 

1.18 

606.69 

1.18 

7.2 

1052.54 

.97 

950.45 

1.08 

839.57 

1.14 

723.38 

1.18 

605.51 

1.17 

7.3 

1051.57 

.97 

949.37 

1.07 

838.43 

1.14 

722.20 

1.18 

604.34 

1.17 

7.4 

1050.60 

.96 

948.30 

1.07 

837.29 

1.14 

721.02 

1.17 

603.17 

1.18 

'7.5 

1049.64 

.97 

947.23 

1.07 

836.15 

1.15 

719.85 

1.18 

601.99 

1.17 

7.6 

1048.67 

.98 

946.16 

1.08 

835.00 

1.14 

718.67 

1.18 

600.82 

1.18 

7.7 

1047.69 

.97 

945.08 

1.07 

833.86 

1.15 

717.49 

1.17 

599.64 

1.17 

7.8 

1046.72 

.97 

944.01 

1.08 

832.71 

1.14 

716.32 

1.18 

598.47 

1.17 

7.9 

1045.75 

.98 

942.93 

1.07 

831.57 

1.14 

715.14 

1.18 

597.30 

1.17 

8.0 

1044.77 

.98 

941.86 

1.08 

830.43 

1.15 

713.96 

1.18 

596.13 

1.18 

8.1 

1043.79 

.97 

940.78 

1.08 

829.28 

1.14 

712.78 

1.18 

594.95 

1.17 

8.2 

1042.82 

.98 

939.70 

1.08 

828.14 

1.15 

711.60 

1.17 

593.78 

1.17 

8.3 

1041.84 

.98 

938.62 

1.08 

826.99 

1.15 

710.43 

1.18 

592.61 

1.17 

8.4 

1040.86 

.98 

937.54 

1.08 

825.84 

1.15 

709.25 

1.18 

591.44 

1.18 

8.5 

1039.88 

.98 

936.46 

1.08 

824.69 

1.15 

708.07 

1.18 

590.26 

1.17 

8.6 

1038.90 

.99 

935.38 

1.09 

823.54 

1.15 

706.89 

1.18 

589.09 

1.17 

8.7 

1037.91 

.99 

934.29 

1.08 

822.39 

1.14 

705.71 

1.18 

587.92 

1.17 

8.8 

1036.92 

.98 

933.21 

1.09 

821.25 

1.15 

704.53 

1.17 

586.75 

1.17 

8.9 

1035.94 

.99 

932.12 

1.08 

820.10 

1.15 

703.36 

1.18 

585.58 

1.17 

9.0 

1034.95 

.98 

931.04 

1.09 

818.95 

1.16 

702.18 

1.18 

584.41 

1.17 

9.1 

1033.97 

.99 

929.95 

1.08 

817.79 

1.15 

701.00 

1.18 

583.24 

1.17 

9.2 

103298 

.99 

928.87 

1.09 

816.64 

1.15 

699.82 

1.18 

582.07 

1.17 

9.3 

1031.99 

.99 

927.78 

1.09 

815.49 

1.15 

698.64 

1.18 

580.90 

1.17 

9.4 

1031.00 

.99 

926.69 

1.09 

814.34 

1.15 

697.46 

1.18 

579.73 

1.17 

9.5 

1030.01 

1.00 

925.60 

1.09 

813.19 

1.16 

696.28 

1.18 

578.56 

1.17 

9.6 

1029.01 

.99 

924.51 

1.09 

812.03 

1.15 

695.10 

1.18 

577.39 

1.11 

9.7 

1028.02 

1.00 

923.42 

1.09 

810.88 

1.15 

693.92 

1.18 

576.22 

1.16 

9.8 

1027.02 

1.00 

922.33 

1.10 

809.73 

1.16 

692.74 

1.18 

575.06 

1.17 

9.9 

1026.02 

_  .99 

921.23 

-1.09 

808.57 

-1.15 

691.56 

-1.18 

573.89 

-1.17 

10.0 

1025.03 

920.14 

807.42 

690.38 

572.72 

121 


TABLE  IX.    ARGUMENT   4. 

Equation  =  670".500  —  670".  3   sin.  z  —  7".9  sin.  2z. 
Period,  365.259687  days. 


Da 

vs.         1C 

K> 

.       11 

0 

IS 

•0 

i: 

to 

1^ 

10 

Uiys 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

a. 
0.0 

572.72 

-1.16 

458.14 

—1.12 

350.24 

-1.01 

252.36 

-.92 

167.49 

-.77 

0.1 

571.56 

1.17 

457.02 

1.11 

:fi!).-jo 

1.03 

251.44 

.91 

166.72 

.77 

0.2 

570.39 

1.17 

455.91 

1.12 

348.17 

1.03 

250.53 

.92 

165.9!) 

.77 

0.3 

569.22 

1.17 

•151.71) 

1.12 

347.14 

1.03 

249.61 

.91 

165.18 

.77 

0.4 

568.05 

1.16 

453.67 

1.11 

346.  1  1 

1.03 

248.70 

.92 

164.41 

.77 

0.5 

566.89 

l.tl 

452.56 

1.12 

345.08 

1.03 

247.78 

.91 

163.6 

.77 

0.6 

565.72 

1.16 

451.44 

1.11 

344.05 

1.03 

246.87 

.91 

HW.S7 

.76 

0.7 

564.56 

1.17 

450.33 

1.11 

343.02 

1.03 

2  15.9( 

.91 

Ki2.ll 

.76 

0.8 

56339 

1.16 

449.22 

1.12 

341.99 

1.02 

245.05 

.90 

16L8S 

.76 

0.9 

562.23 

1.17 

448.10 

1.11 

340.97 

1.02 

244.15 

.91 

160.59 

.77 

1.0 

561.06 

1.16 

446.99 

1.11 

339.95 

1.03 

243.24 

.90 

159.82 

.75 

1.1 

559.90 

1.16 

445.88 

1.11 

338.92 

1.02 

242.34 

.91 

159.07 

.76 

1.2 

558.74 

1.17 

444.77 

1.11 

337.90 

1.02 

241.43 

.90 

158.31 

.75 

1.3 

557.57 

1.16 

443.66 

1.11 

336.88 

1.02 

240.53 

.90 

157.50 

.76 

1.4 

556.41 

1.16 

442.55 

1.11 

335.86 

1.02 

239.63 

.90 

156.80 

.75 

1.5 

555.25 

.16 

441.44 

1.10 

334.84 

1.02 

238.73 

.90 

150.0." 

.75 

1.6 

554.09 

.17 

440.34 

1.11 

333.S2 

1.02 

237.83 

.89 

155.3( 

.75 

1.7 

552.92 

.16 

439.23 

1.11 

332.80 

1.01 

236.91 

.90 

154.5f 

.75 

1.8 

551.76 

.16 

438.12 

1.10 

331.79 

1.02 

236.04 

.89 

153.80 

.74 

1.9 

550.60 

.16 

437.02 

1.11 

330.77 

1.01 

235.15 

.89 

153.06 

.75 

2.0 

549.44 

.16 

435.91 

1.10 

329.76 

1.02 

234.26 

.89 

152.31 

.74 

2.1 

548.28 

.16 

434.81 

1.10 

328.74 

1.01 

233.37 

.89 

151.57 

.74 

2.2 

547.12 

1.16 

433.71 

1.10 

327.73 

1.01 

232.48 

.89 

150.83 

.74 

2.3 

515.96 

1.16 

432.6  1 

1.11 

326.72 

1.01 

231.59 

.89 

150.0! 

.74 

2.4 

544.80 

1.16 

431.50 

1.10 

325.71 

1.01 

230.70 

.88 

149.35 

.73 

2.5 

543.64 

1.15 

430.40 

1.10 

324.70 

1.01 

229.82 

.89 

148.62 

.74 

2.6 

542.49 

1.16 

429.30 

1.10 

323.69 

1.00 

228.93 

.88 

147.88 

.73 

2.7 

541.33 

1.16 

428.20 

1.09 

322.69 

1.01 

228.05 

.88 

147.15 

.73 

2.8 

540.17 

1.16 

427.11 

1.10 

321.6H 

1.00 

227.17 

.88 

146.42 

.73 

2.9 

539.01 

1.15 

426.01 

1.10 

320.68 

1.00 

226.29 

.88 

145.69 

.73 

3.0 

537.86 

1.16 

424.91 

1.10 

319.68 

1.01 

225.41 

.88 

144.96 

.72 

3.1 

536.70 

1.15 

423.81 

1.09 

318.67 

1.00 

224.53 

.87 

144.24 

.73 

3.2 

535.55 

1.16 

422.72 

1.10 

317.67 

1.00 

223.66 

.88 

143.51 

.72 

3.3 

534.39 

1.15 

421.62 

1.09 

316.67 

1.00 

222.78 

.87 

142.79 

.72 

3.4 

533.24 

1.16 

420.53 

1.09 

315.67 

.99 

221.91 

.87 

142.07 

.72 

3.5 

532.08 

1.15 

419.44 

1.10 

314.68 

1.00 

221.04 

.87 

141.35 

.72 

3.6 

530.93 

1.16 

418.34 

1.09 

313.6N 

1.00 

220.17 

.87 

140.63 

.72 

3.7 

529.77 

1.15 

417.25 

1.09 

312.68 

.99 

219.30 

.87 

189.91 

.71 

3.8 

528.62 

1.15 

416.16 

1.09 

311.69 

.99 

218.43 

.87 

139.20 

.71 

3.9 

527.47 

1.15 

415.07 

1.09 

310.70 

.99 

217.56 

.86 

138.49 

.72 

4.0 

526.32 

1.16 

413.98 

1.08 

309.71 

1.00 

216.70 

.86 

137.77 

.71 

4.1 

525.16 

1.15 

412.90 

1.09 

308.71 

.99 

215.84 

.87 

137.06 

.70 

4.2 

524.01 

1.15 

411.81 

1.09 

307.72 

.98 

214.97 

.86 

186.36 

.71 

4.3 

522.86 

1.15 

410.72 

1.06 

306.71 

.99 

21411 

.85 

135.65 

.70 

4.4 

521.71 

1.15 

409.64 

1.09 

305.75 

.99 

213.26 

.86 

134.95 

.71 

45 

520.56 

1.15 

408.55 

1.08 

304.76 

.98 

212.40 

.86 

134.24 

.70 

>    4.6 

519.41 

1.15 

407.47 

1.09 

303.7N 

.99 

211.51 

.85 

138.54 

.70 

4.7 

518.26 

1.15 

406.38 

1.08 

302.79 

.98 

210.69 

.86 

132.84 

.70 

4.8 

517.11 

1.14 

405.30 

1.08 

301.81 

.98 

209.83 

.85 

132.14 

.69 

4.9 

515.91 

1.15 

401.22 

1.08 

300.83 

.98 

208.98 

.85 

131.45 

.70 

5.0 

514£8 

-1.15 

408.14 

-1.08 

299.85 

—  .98 

208.13 

-.85 

130.75 

-.69 

TABLE  IX.    ARGUMENT  4. 


Equation  —  670".500  —  670".3   sin.  z  —  7".9  sin.  2z. 
Period,  365.259687  days. 


Buys.         1OO 

110 

190 

130 

140 

Days. 

Equation. 

Difference, 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Different1!;. 

Equal  ion. 

Difference. 

d. 
5.0 

514.82 

-1.15 

403.14 

-1.08 

299.85 

-.98 

208".  13 

-.85 

130.75 

-.69 

5.1 

513.67 

1.15 

402.06 

1.08 

298.87 

.98 

207.28 

.85 

130.06 

.69 

5.2 

512.52 

1.14 

400.98 

l.OS 

297.89 

.98 

206.43 

.84 

129.37 

.69 

5.3 

511.38 

1.15 

399.90 

1.08 

296.91 

.97 

205.59 

.85 

128.68 

.69 

5.4 

510.23 

1.14 

398.82 

1.07 

295.94 

.98 

204.74 

.84 

127.99 

.69 

5.5 

509.09 

1.15 

397.75 

1.08 

294.96 

.97 

203.90 

.84 

127.30 

.68 

5.6 

507.94 

1.14 

396.67 

1.07 

293.99 

.98 

203.06 

.84 

126.62 

.69 

5.7 

506.80 

1.15 

395.60 

1.08 

293.01 

.97 

202.22 

.84 

125.93 

.68 

5.8 

505.65 

1.14 

394.52 

1.07 

292.04 

.97 

201.38 

.84 

125.25 

.68 

5.9 

504.51 

1.14 

393.45 

1.07 

291.07 

.96 

200.54 

.83 

124.57 

.68 

6.0 

503.37 

1.14 

392.38 

1.08 

290.11 

.97 

199.71 

.84 

123.89 

.67 

6.1 

502.23 

1.14 

391.30 

1.07 

289.14 

.97 

198.87 

.83 

123.22 

.68 

6.2 

501.09 

1.15 

390.23 

1.07 

288.17 

.96 

198.04 

.83 

122.54 

.67 

6.3 

499.94 

1.13 

389.16 

1.07 

287.21 

.97 

197.21 

.83 

121.87 

.67 

6.4 

498.81 

1.15 

388.09 

1.06 

286.24 

.96 

196.38 

.83 

121.20 

.67 

6.5 

497.66 

1.13 

387.03 

1.07 

285.28 

.96 

195.55 

.83 

120.53 

.67 

6.6 

496.53 

1.14 

385.96 

1.07 

284.32 

.96 

194.72 

.83 

119.86 

.66 

6.7 

495.39 

1.14 

384.89 

1.06 

283.36 

.96 

193.89 

.82 

119.20 

.67 

6.8 

494.25 

1.14 

383.83 

1.07 

282.40 

.96 

193.07 

.82 

118.53 

.66 

6.9 

493.11 

1.14 

382.76 

1.06 

281.44 

.96 

192.25 

.82 

117.87 

.66 

7.0 

491.97 

1.13 

381.70 

1.06 

280.48 

.95 

191.43 

.82 

117.21 

.66 

7.1 

490.84 

1.14 

380.64 

1.06 

279.53 

.96 

190.61 

.82 

116.55 

.66 

7.2 

489.70 

1.13 

379.58 

1.06 

278.57 

.95 

189.79 

.82 

115.89 

.66 

7.3 

488.57 

1.14 

378.52 

1.06 

277.62 

.95 

188.97 

.81 

115.23 

.65 

7.4 

487.43 

1.13 

377.46 

1.06 

276.67 

.95 

188.16 

.82 

114.58 

.66 

7.5 

486.30 

1.14 

376.40 

1.06 

275.72 

.95 

187.34 

.81 

113.92 

.65 

7.6 

485.16 

1.13 

375.34 

1.06 

274.77 

.95 

186.53 

.81 

113.27 

.65 

7.7 

4*4.03 

1.13 

374.28 

1.05 

273.82 

.95 

185.72 

.81 

112.62 

.64 

7.8 

482.90 

1.13 

373.23 

1.06 

272.87 

.94 

184.91 

.81 

111.98 

.65 

7.9 

481.77 

1.13 

372.17 

1.05 

271.93 

.95 

184.10 

.80 

111.33 

.64 

8.0 

480.64 

1.14 

371.12 

1.05 

270.98 

.94 

183.30 

.81 

110.69 

.65 

8.1 

479.50 

1.12 

370.07 

1.06 

270.04 

.94 

182.49 

.80 

110.04 

.64 

8.2 

478.38 

1.13 

369.01 

1.05 

269.10 

.94 

181.69 

.80 

109.40 

.64 

8.3 

477.25 

1.13 

367.96 

1.05 

268.16 

.94 

180.89 

.80 

108.76 

.63 

8.4 

476.12 

1.13 

366.91 

1.05 

267.22 

.94 

180.09 

.80 

108.13 

.64 

8.5 

474.99 

1.13 

365.86 

1.05 

266.28 

.94 

179.29 

.80 

107.49 

.63 

8.6 

473.86 

1.13 

364.81 

1.04 

265.34 

.93 

178.49 

.89 

106.86 

.63 

8.7 

472.73 

1.12 

363.77 

1.05 

264.41 

.94 

177.70 

.80 

106.23 

.63 

8.8 

471.61 

1.13 

362.72 

1.05 

263.47 

.93 

176.90 

.79 

105.60 

.63 

8.9 

470.48 

1.12 

361.67 

1.04 

262.54 

.93 

176.11 

.79 

104.97 

.63 

9.0 

469.36 

1.13 

360.63 

1.05 

261.61 

.93 

175.32 

.79 

104.34 

.62 

9.1 

468.23 

1.12 

359.58 

1.04 

260.68 

.93 

174.53 

.79 

103.72 

.63 

9.2 

467.11 

1.13 

358.54 

1.04 

259.75 

.93 

173.74 

.78 

103.09 

.62 

9.3 

465.98 

1.12 

357.50 

1.04 

258.82 

.93 

172.96 

.79 

102.47 

.62 

9.4 

464.86 

1.12 

356.46 

1.04 

257.89 

.92 

172.17 

.78 

101.85 

.62 

9.5 

463.74 

1.12 

355.42 

1.04 

256.97 

.93 

171.39 

.78 

101.23 

.61 

9.6 

462.62 

1.12 

354.38 

1.04 

256.04 

.92 

170.61 

.78 

100.62 

.62 

9.7 

461.50 

1.12 

353.34 

1.04 

255.12 

.92 

169.83 

.78 

100.00 

.61 

9.8 

460.38 

1.12 

352.30 

1.03 

254.20 

.92 

169.05 

.78 

99.39 

.61 

9.9 

459.26 

-1.12 

351.27 

-1.03 

253.28 

-.92 

168.27 

-.78 

98.78 

-.61 

10.0 

458.14 

350.24 

252.36 

167.49 

98.17 

123 


TABLE  IX.    ARGUMENT  4. 


Equation  =  670".500  —  670".3  sin.  z  —  7".9  sin.  2z. 
Period,  365.259687  days. 


Days.          ISO 

I  GO 

17O 

ISO 

190 

Day.. 

Equation. 

Difference. 

Equal  ion. 

Difference. 

Equation. 

I)i  fore  Lire. 

Equation. 

Difference. 

Equation. 

Difference. 

d. 

0.0 

98.17 

-.61 

46.36 

-.42 

13.47 

-.23 

0.28 

-.03 

6.94 

+.16 

0.1 

97.56 

.61 

45.94 

.42 

13.24 

.22 

0.25 

.03 

7.K 

.17 

0.2 

96.95 

.60 

45.52 

.42 

13.02 

.23 

0.22 

.03 

7.27 

.17 

0.3 

96.35 

.60 

45.10 

.42 

12.79 

.23 

0.19 

.02 

7.44 

.17 

0.4 

95.75 

.60 

44.68 

.42 

12.56 

.22 

0.17 

.03 

7.61 

.18 

0.5 

95.15 

.60 

44.26 

.41 

12.34 

.22 

0.14 

.02 

7.79 

.17 

0.6 

94.55 

.60 

43.85 

.42 

12.12 

.22 

0.12 

.02 

7.96 

.18 

0.7 

93.95 

.59 

43.43 

.41 

11.90 

.21 

0.10 

.02 

8.14 

.18 

0.8 

93.36 

.60 

43.0-2 

.41 

11.69 

.22 

0.08 

.02 

8.32 

.18 

0.9 

92.76 

.59 

42.61 

.41 

11.47 

.21 

0.06 

.01 

8.50 

.18 

1.0 

92.17 

.59 

42.20 

.40 

11.26 

.21 

0.05 

.01 

8.68 

.19 

1.1 

91.58 

.59 

41.80 

.40 

11.05 

.21 

0.04 

.01 

8.87 

.19 

1.2 

90.99 

.58 

41.40 

.40 

10.84 

.20 

0.03 

.01 

9.06 

.18 

1.3 

90.41 

.59 

41.00 

.40 

10.64 

.21 

0.02 

.00 

9.24 

.20 

1.4 

89.82 

.58 

40.60 

.40 

10.43 

.20 

0.02 

-.01 

9.44 

.19 

1.5 

89.24 

.58 

40.20 

.40 

10.23 

.20 

0.01 

.00 

9.63 

.19 

1.6 

88.66 

.58 

39.80 

.39 

10.03 

.20 

0.01 

.00 

9.82 

.20 

1.7 

88.08 

.58 

39.41 

.39 

9.83 

.20 

0.01 

.00 

10.02 

.20 

1.8 

87.50 

.58 

39.02 

.39 

9.63 

.19 

0.01 

+.01 

10.22 

.20 

1.9 

86.92 

.57 

38.63 

.39 

9.44 

.20 

0.02 

.01 

10.42 

.20 

2.0 

86.35 

.57 

38.24 

.39 

9.24 

.19 

0.03 

.01 

10.62 

.21 

2.1 

85.78 

.57 

37.85 

.38 

9.05 

.19 

0.04 

.01 

10.83 

.21 

2.2 

85.21 

.57 

37.47 

.38 

8.86 

.18 

0.05 

.01 

11.04 

.20 

2.3 

84.64 

.56 

37.09 

.38 

8.68 

.19 

0.06 

.01 

11.24 

.22 

2.4 

84.08 

.57 

36.71 

.38 

8.49 

.18 

0.07 

.02 

11.46 

.21 

2.5 

83.51 

.56 

36.33 

.38 

8.31 

.18 

0.09 

.01 

11.67 

.21 

2.6 

82.95 

.56 

35.95 

.37 

8.13 

.18 

0.10 

.02 

11.88 

.22 

2.7 

82.39 

.56 

35.58 

.38 

7.95 

.17 

0.12 

.03 

12.10 

.22 

2.8 

81.83 

.56 

35.20 

.37 

7.78 

.18 

0.15 

.02 

12.32 

.22 

2.9 

81.27 

.56 

34.83 

.37 

7.60 

.17 

0.17 

.03 

12.54 

.22 

3.0 

80.71 

.55 

34.46 

.36 

7.43 

.17 

0.20 

.03 

12.76 

.22 

3.1 

80.16 

.55 

34.10 

.37 

7.26 

.17 

0.23 

.03 

12.98 

.23 

3.2 

79.61 

.55 

33.73 

.36 

7.09 

.17 

0.26 

.03 

13.21 

.23 

3.3 

79.06 

.55 

33.37 

.36 

6.92 

.16 

0.29 

.03 

13.44 

.23 

3.4 

78.51 

.55 

33.01 

.36 

6.76 

.17 

0.32 

.04 

13.67 

.23 

3.5 

77.96 

.55 

32.65 

.36 

6.59 

.16 

0.36 

.04 

13.90 

.23 

3.6 

77.41 

.54 

32.29 

.35 

6.43 

.16 

0.40 

.04 

14.13 

.24 

3.7 

76.87 

.54 

31.94 

.36 

6.27 

.15 

0.44 

.04 

14.37 

.23 

3.8 

76.33 

.54 

81.66 

.35 

6.12 

.16 

0.48 

.04 

14.60 

.24 

3.9 

75.79 

.54 

31.23 

.35 

5.96 

.15 

0.52 

.05 

14.84 

.24 

4.0 

75.25 

.54 

30.88 

.35 

5.81 

.15 

0.57 

.05 

15.08 

.25 

4.1 

74.71 

.53 

30.53 

.31 

5.66 

.15 

0.62 

.05 

1  5.:u 

.24 

4.2 

74.18 

.53 

30.19 

J6 

5.51 

.15 

0.67 

.05 

15.57 

.25 

4.3 

73.65 

.53 

29.84 

M 

5.36 

.14 

0.72 

.05 

15.82 

.25 

4.4 

73.12 

.53 

29.50 

.34 

5.22 

.15 

0.77 

.06 

16.07 

.25 

4.5 

72.59 

.53 

29.16 

.31 

5.07 

.14 

0.83 

.06 

16.32 

.25 

4.6 

72.06 

.52 

28.82 

M 

4.93 

.14 

0.89 

.06 

16.57 

.26 

4.7 

71.54 

M 

28.49 

.34 

4.79 

.13 

0.95 

.06 

16.83 

.25 

4.8 

71.01 

.52 

28.15 

.33 

4.f>6 

.14 

1.01 

.06 

17.08 

.26 

4.9 

70.49 

.52 

27.82 

.33 

4.52 

.13 

1.07 

.07 

17.34 

.26 

5.0 

69.97 

-.52 

27.49 

-.33 

4.39 

-.13 

1.14 

+.07 

17.60 

+.26 

124 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670".3   sin.  z  — 7".9  sin.  2z. 
Period,  365.259687  days. 


Days.          ISO 

1GO 

170 

18O 

190 

Days. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

<1. 

5.0 

69.97 

—.52 

27.49 

—.33 

4.39 

—.13 

• 

1.14 

+.07 

17.60 

+.26 

5.1 

69.45 

.51 

27.16 

.33 

4.26 

.13 

1.21 

.07 

17.86 

.27 

5.2 

68.94 

.52 

26.83 

.32 

4.13 

.13 

1.28 

.07 

18.13 

.26 

5.3 

68.42 

.51 

26.51 

.32 

4.00 

.12 

1.35 

.07 

18.39 

.27 

54 

67.91 

.51 

26.19 

.32 

3.88 

.13 

1.42 

.08 

18.66 

.27 

55 

67.40 

.51 

25.87 

.32 

3.75 

.12 

1.50 

.08 

18.93 

.27 

5.6 

66.89 

.50 

25.55 

.32 

3.63 

.12 

1.58 

.08 

19.20 

.28 

5.7 

66.39 

.51 

25.23 

.31 

3.51 

.11 

1.66 

.08 

19.48 

.27 

5.8 

65.88 

.50 

24.92 

.31 

3.40 

.12 

1.74 

.08 

19.75 

.28 

5.9 

65.38 

.50 

24.61 

.31 

3.28 

.11 

1.82 

.09 

20.03 

.28 

6.0 

64.88 

.50 

24.30 

.31 

3.17 

.11 

1.91 

.08 

20.31 

.28 

6.1 

64.38 

.50 

23.99 

.31 

3.06 

.11 

1.99 

.09 

20.59 

.28 

6.2 

63.88 

.49 

23.68 

.31 

2.95 

.11 

2.08 

.10 

20.87 

.29 

6.3 

63.39 

.50 

23.37 

.30 

2.84 

.10 

2.18 

.09 

21.16 

.28 

6.4 

62.89 

.49 

23.07 

.30 

2.74 

.11 

2.27 

.09 

21.44 

.29 

6.5 

62.40 

.49 

22.77 

.30 

2.63 

.10 

2.36 

.10 

21.73 

.29 

6.6 

61.91 

.49 

22.47 

.29 

2.53 

.10 

2.46 

.10 

22.02 

.30 

6.7 

61.42 

.48 

22.18 

.30 

2.43 

.09 

2.56 

.10 

22.32 

.29 

6.8 

60.94 

.49 

21.88 

.29 

2.34 

.10 

2.66 

.10 

22.61 

.30 

6.9 

60.45 

.48 

21.59 

.29 

2.24 

.09 

2.76 

.11 

22.91 

.29 

7.0 

59.97 

.48 

21.30 

.29 

2.15 

.09 

2.87 

.11 

23.20 

.30 

7.1 

59.49 

.48 

21.01 

.29 

2.06 

.09 

2.98 

.11 

23.50 

.31 

7.2 

59.01 

.48 

20.72 

.28 

1.97 

.09 

3.09 

.11 

23.81 

.30 

7.3 

58.53 

.47 

20.44 

.29 

1.88 

.08 

3.20 

.11 

24.11 

.31 

7.4 

58.06 

.48 

20.15 

.28 

1.80 

.09 

3.31 

.12 

24.42 

.30 

7.5 

57.58 

.47 

19.87 

.28 

1.71 

.08 

3.43 

.11 

24.72 

.31 

7.6 

57.11 

.47 

19.59 

.28 

1.63 

.08 

3.54 

.12 

25.03 

.31 

7.7 

56.64 

.46 

19.31 

.27 

1.55 

.08 

3.66 

.12 

25.34 

.32 

7.8 

56.18 

.47 

19.0  1 

.28 

1.47 

.07 

3.78 

.12 

25.66 

.31 

7.9 

55.71 

.46 

18.76 

.27 

1.40 

.07 

3.90 

.13 

25.97 

.32 

8.0 

55.25 

.47 

18.49 

.27 

1.33 

.OS 

4.03 

.13 

26.29 

.32 

8.1 

54.78 

.46 

18.22 

.27 

1.25 

.06 

4.16 

.13 

26.61 

.32 

8.2 

54.32 

.45 

17.95 

.26 

1.19 

.07 

4.29 

.13 

26.93 

.32 

8.3 

53.87 

.46 

17.69 

.27 

1.12 

.07 

4.42 

.13 

27.25 

.33 

8.4 

53.41 

.46 

17.42 

.26 

1.05 

.06 

4.55 

.13 

27.58 

.32 

8.5 

52.95 

.45 

17.16 

.26 

0.99 

.06 

4.68 

.14 

27.90 

.33 

8.6 

52.50 

.45 

16.90 

.25 

0.93 

.06 

4.82 

.14 

28.23 

.33 

8.7 

52.05 

.45 

16.65 

.26 

0.81? 

.06 

4.96 

.14 

28.56 

.33 

8.8 

51.60 

.45 

16.39 

.25 

0.81 

.05 

5.10 

.14 

28.89 

.34 

8.9 

51.15 

.44 

16.14 

.26 

0.76 

.06 

5.24 

.15 

29.23 

.33 

9.0 

50.71 

.44 

15.88 

.25 

0.70 

.05 

5.39 

.14 

29.56 

.34 

•  9.1 

50.27 

.44 

15.63 

.24 

0.65 

.05 

5.53 

.15 

29.90 

.34 

9.2 

49.83 

.44 

15.39 

.25 

0.60 

.05 

5.68 

.15 

30.24 

.34 

9.3 

49.39 

.44 

15.14 

.24 

0.55 

.04 

5.83 

.15 

30.58 

.34 

9.4 

48.95 

.44 

14.90 

.25 

0.51 

.04 

5.98 

.16 

30.92 

.34 

9.5 

48.51 

.43 

14.65 

.24 

0.47 

.05 

6.14 

.15 

31.26 

.35 

9.6 

48.08 

.43 

14.41 

.23 

0.42 

.04 

6.29 

.16 

31.61 

.35 

9.7 

47.65 

.43 

14.18 

.24 

0.38 

.03 

6.45 

.16 

31.96 

.35 

9.8 

47.22 

.43 

13.94 

.23 

0.35 

.04 

6.61 

.16 

32.31 

.35 

9.9 

46.79 

—.43 

13.71 

-.24 

0.31 

-.03 

6.77 

+.17 

32.66 

+.36 

10.0 

46.36 

13.47 

0.28 

6.94 

33.02 

125 


TABLE  IX.    ARGUMENT  4, 

Equation  =  670".500  —  670".3  sin.  z  — 7".9  sin.  2:. 
Period,  365.259687  days. 


Da 

ys.         20 

O 

21 

O 

29 

>0 

23 

(0 

2J 

0 

Days. 

Equation. 

Difference 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

d. 

0.0 

33.0-2 

+.35 

77.53 

+.51 

139.00 

+.69 

215.49 

+.83 

30  i.7'2 

+  .95 

0.1 

33.37 

.36 

78.07 

.53 

139.69 

.70 

216.32 

.81 

305.67 

.95 

0.2 

33.73 

.36 

78.60 

.54 

140.39 

.70 

217.16 

.83 

306.6-2 

.95 

0.3 

34.09 

.36 

79.14 

.54 

141.09 

.69 

217.99 

.84 

307.57 

.95 

0.4 

34.45 

.37 

79.68 

.54 

141.78 

.70 

218.83 

.84 

308.52 

.95 

0.5 

34.82 

.36 

80.22 

.57) 

142.48 

.71 

219.67 

.84 

309.47 

.95 

0.6 

35.18 

.37 

80.77 

.55 

143.19 

.70 

220.51 

.84 

310.4-2 

.96 

0.7 

35.55 

.37 

81.32 

.54 

143.89 

.70 

221.35 

.84 

311.38 

.95 

0.8 

35.92 

.37 

81.86 

.55 

144.59 

.71 

222.19 

.85 

31-2.33 

.96 

0.9 

36.29 

.37 

82.41 

.54 

145.30 

.71 

223.04 

.84 

313.-2!) 

.96 

.0 

36.66 

.38 

82.95 

.55 

146.01 

.70 

223.88 

.85 

314.25 

.95 

.1 

37.04 

.37 

83.50 

.55 

146.71 

.72 

-2-2  1.73 

.84 

315.20 

.96 

.2 

37.41 

.38 

84.05 

.55 

147.43 

.71 

225.57 

.85 

316.16 

.96 

.3 

37.79 

.38 

84.60 

.56 

148.14 

.71 

226.42 

.85 

317.12 

.96 

.4 

38.17 

.38 

85.16 

.56 

148.85 

.72 

227.27 

.85 

318.0N 

.97 

.5 

38.55 

.39 

85.72 

.56 

149.57 

.71 

228.12 

£5 

319.05 

.96 

.6 

38.94 

.38 

86.28 

.56 

150.28 

.72 

228.97 

.86 

320.01 

.90 

.7 

39.32 

.39 

86.84 

.56 

151.00 

.72 

•2-2!).H3 

.85 

320.97 

.97 

.8 

39.71 

.39 

87.40 

.56 

151.72 

.72 

230.68 

.86 

321.94 

.96 

.9 

40.10 

.39 

87.96 

.57 

152.44 

.72 

'231.5-1 

.86 

322.90 

.97 

2.0 

40.49 

.39 

88.53 

.56 

153.16 

.73 

232.40 

.85 

323.87 

.96 

2.1 

40.88 

.40 

89.09 

.57 

153.89 

.72 

233.25 

.86 

324.  H3 

.98 

2.2 

41.28 

.39 

89.66 

.57 

154.61 

.73 

234.11 

.86 

325.81 

.97 

2.3 

41.67 

.40 

90.23 

.58 

155.34 

.73 

•2:f  t.!>7 

.87 

326.78 

.97 

2.4 

42.07 

.40 

90.81 

.57 

156.07 

.73 

235.84 

.86 

327.75 

.97 

2.5 

42.47 

.40 

91.38 

.58 

156.80 

.73 

236.70 

.86 

328.72 

.97 

2.6 

42.87 

.41 

91.96 

.57 

157.53 

.73 

237.56 

.87 

329.69 

.98 

2.7 

43.28 

.40 

92.53 

.58 

158.26 

.73 

238.43 

.87 

330.67 

.97 

2.8 

43.68 

.41 

93.11 

.58 

158.99 

.74 

239.30 

.86 

331.64 

.98 

2.9 

44.09 

.41 

93.69 

.58 

159.73 

.74 

240.16 

.87 

332.6-2 

.97 

3.0 

44.50 

.41 

94.27 

.59 

160.47 

.73 

241.03 

.87 

333.59 

.98 

3.1 

44.91 

.41 

94.86 

.58 

161.20 

.74 

241.90 

.88 

331.:.- 

.98 

3.2 

45.32 

.41 

95.44 

.59 

161.94 

.74 

242.78 

.87 

335.55 

.98 

3.3 

45.73 

.42 

96.03 

.59 

162.68 

.75 

M8J05 

•   .87 

336.53 

.98 

3.4 

46.15 

.42 

96.62 

.59 

163.43 

.74 

244.52 

.88 

337.51 

.98 

3.5 

46.57 

.4-2 

97.21 

.59 

164.17 

.75 

245.40 

.87 

H&49 

.98 

3.6 

46.99 

.42 

97.80 

.60 

164.92 

.74 

246.27 

.88 

339.  17 

.98 

3.7 

47.41 

.42 

9N.  10 

.59 

'165.66 

.75 

247.15 

£8 

840.45 

.99 

3.8 

47.83 

.43 

98.99 

.60 

166.41 

.75 

248.03 

.88 

841.44 

.98 

3.9 

48.26 

.43 

99.59 

.60 

167.16 

.75 

248.91 

.88 

84242 

.99 

4.0 

48.69 

.42 

100.19 

.60 

167.91 

.75 

249.79 

.88 

343.41 

.98 

4.1 

49.11 

.41 

100.79 

.60 

168.66 

.76 

250.67 

.89 

844.39 

.99 

4.2 

49.55 

,i:i 

101.3!) 

.60 

169.42 

.75 

251.56 

.88 

845.38 

.!)9 

4.3 

49.98 

,i:( 

101.99 

.61 

170.17 

.76 

•2-.-2,l  1 

.89 

:il(i.:!7 

.!)!) 

1.1 

50.41 

.44 

102.60 

.60 

170.93 

.76 

2.r>3.33 

£8 

847.36 

.99 

4.6 

50.85 

.44 

103.20 

.61 

171.69 

.76 

264.21 

.89 

3-48.35 

.99 

4.6 

51.39 

.41 

108.81 

.61 

179.46 

.7(i 

•2:>f>.  10 

.89 

840.34 

.99 

4.7 

51.78 

.1  1 

104.48 

.61 

173.  -21 

.7<i 

255.99 

.89 

350.33 

.99 

4.8 

5-2.17 

.11 

io;,.o:t 

.61 

J73.<»7 

.77 

066.88 

,89 

35  1  .3-2 

1.00 

Hi 

:>-,>.<;  i 

.11 

lO.YIi  1 

.(i-2 

174.74 

.76 

257.77 

.90 

852-32 

.99 

5.0 

.-,.•<.().-> 

+.  i:> 

10(i.-2(i 

+.61 

175.50 

+.77 

•2.r>s.67 

+.89 

85&31 

+  1.00 

126 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500— 670".  3  sin,  *  — 7".9  sin.  2z. 
Period,  365.259687  days. 


Days.          2OO 

aiO 

330 

33O 

Mt 

Days. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference 

Equation. 

Difference 

Equation. 

Difference. 

d. 

5.0 

53.05 

+.45 

106.26 

+.61 

175.50 

+.77 

258.61/ 

+.89 

353.3 

+1.00 

5.1 

53.50 

.45 

106.87 

.62 

176.27 

.77 

259.56 

.90 

354.3 

1.00 

5.2 

53.95 

.45 

107.49 

.62 

177.01 

.77 

260.46 

.89 

355.3 

.99 

5.3 

54.40 

.45 

108.11 

.62 

177.81 

.77 

261.35 

.90 

356.3C 

1.00 

5.4 

54.85 

.46 

108.73 

.63 

178.58 

.77 

262.23 

.90 

357.30 

1.00 

5.5 

55.31 

.45 

109.36 

.63 

179.35 

.77 

263.15 

.90 

358.30 

1.00 

5.6 

55.76 

.46 

109.99 

.62 

180.12 

.78 

264.05 

.90 

359.30 

1.00 

5.7 

56.22 

.46 

110.61 

.62 

180.90 

.77 

264.95 

.90 

3G0.30 

1.00 

5.8 

56.68 

.46 

111.23 

.63 

181.67 

.78 

265.85 

.90 

361.30 

1.00 

5.9 

57.14 

.46 

111.86 

.63 

182.45 

.78 

266.75 

.91 

362.30 

1.01 

6.0 

57.60 

.46 

112.49 

.64 

183.23 

.78 

267.66 

.90 

363.31 

1.00 

6.1 

58.06 

.47 

113.13 

.63 

184.01 

.78 

268.56 

.91 

364.31 

1.01 

6.2 

58.53 

.47 

113.76 

.63 

184.79 

.78 

269.47 

.91 

365.32 

1.00 

6.3 

59.00 

.47 

114.39 

'  .64 

185.57 

.79 

270.38 

.91 

366.32 

1.01 

6.4 

59.47 

.47 

115.03 

.64 

186.36 

.78 

271.29 

.91 

367.33 

1.01 

6.5 

59.94 

.47 

115.67 

.64 

187.14 

.79 

272.20 

.91 

368.34 

1.  00 

6.6 

60.41 

.48 

116.31 

.64 

187.93 

.79 

273.11 

.91 

369.34 

1.01 

6.7 

60.89 

.47 

116.95 

.65 

188.72 

.79 

274.02 

.91 

370.35 

1.01 

6.8 

61.36 

.48 

117.60 

.64 

189.51 

.79 

274.93 

.92 

371.36 

1.01 

6.9 

61.84 

.48 

118.24 

.65 

190.30 

.79 

275.85 

.91 

372.37 

1.02 

7.0 

62.32 

.49 

118.89 

.64 

191.09 

.80 

276.76 

.92 

373.39 

1.01 

7.1 

62.81 

.48 

'119.53 

.65 

191.89 

.79 

277.68 

.92 

374.40 

1.01 

7.2 

63.29 

.49 

120.18 

.66 

192.68 

.80 

278.60 

.91 

375.41 

1.02 

7.3 

63.78 

.48 

120.84 

.65 

193.48 

.80 

279.51 

.92 

376.43 

1.01 

7.4 

64.26 

.49 

121.49 

.65 

194.28 

.80 

280.43 

.93 

377.44 

1.02 

7.5 

64.75 

.49 

122.14 

.66 

195.08 

.80 

281.36 

.92 

378.1') 

1.01 

7.6 

65.24 

-49 

122.80 

.66 

195.88 

.80 

282.28 

.92 

379.47 

1.02 

7.7 

65.73 

.50 

123.46 

.66 

196.68 

.80 

283.20 

.92 

380.49 

1.02 

7.8 

66.23 

.49 

124.1-2 

.66 

187.18 

.81 

284.12 

.93 

381.51 

1.02 

7.9 

66.72 

.50 

124.78 

.66 

198.29 

.80 

285.05 

.92 

382.53 

1.02 

8.0 

67.22 

.50 

125.44 

.66 

199.09 

.81 

2^5.97 

.93 

383.55 

1.02 

8.1 

67.72 

.50 

126.10 

.67 

199.90 

.81 

286.90 

.93 

384.57 

1.02 

8.2 

68.22 

.50 

126.77 

.66 

200.71 

.81 

287.83 

.93 

385.59 

1.02 

8.3 

68,72 

.51 

127.43 

.67 

201.52 

.81 

288.76 

.93 

386.61 

1.02 

8.4 

69.23 

.51 

128.10 

.67 

202.33 

.81 

289.69 

.93 

387.63 

1.03 

8.5 

69.74 

.50 

128.77 

.67 

203.14 

.82 

290.62 

.93 

388.66 

1.02 

8.6 

70.24 

.51 

129.44 

.68 

203.96 

.81 

291.55 

.94 

389.68 

1.03 

8.7 

70.75 

.52 

130.12 

.67 

204.77 

.82 

292.49 

.93 

390.71 

1.02 

8.8 

71.27 

.51 

130.79 

.67 

205.59 

.82 

293.42 

.94 

391.73 

1.03 

8.9 

71.78 

.51 

131.46 

.68 

206.41 

.82 

294.36 

.93 

392.76 

1.03 

9.0 

72.29 

.52 

132.14 

.68 

207.23 

.82 

295.29 

.94 

39379 

1.03 

9.1 

72.81 

.52 

132.82 

.68 

208.05 

.82 

296.23 

.94 

394.82 

1.02 

9.2 

73.33 

.52 

133.50 

.68 

208.87 

.82 

297.17 

.94 

395.84 

1.03 

9.3 

7385 

.52 

134.18 

.69 

209.69 

.83 

298.11 

.94 

396.87 

1.04 

9.4 

74.37 

.52 

134.87 

.68 

210.52 

.82 

299.05 

.94 

397.91 

1.03 

9.5 

74.89 

.53 

135.55 

.69 

211.34 

.83 

299.99 

.95 

398.94 

1.03 

9.6 

75.42 

.52 

136.24 

.69 

212.17 

.83 

300.94 

.94 

399.97 

1.03 

9.7 

75.94 

.53 

136.93 

.69 

213.00 

.83 

301.88 

.95 

401.00 

1.04 

9.8 

76.47 

.53 

137.62 

.69 

213.83 

.83 

302.83 

.94 

402.04 

1.03 

9.9 

77.00 

+.53 

138.31 

+.69 

214.66 

+.83 

303.77 

+.95 

403.07 

+1.04 

10.0 

77.53 

139.00 

215.49 

304.72 

404.11 

127 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670".3  sin.  *  —  7".9  sin.  2z. 
Period,  365.259687  days. 


Days.         2tfO 

26O 

2TO 

2SO 

290 

Daya. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference, 

Equation. 

Difference. 

Equation. 

Dhl'crence. 

d. 

0.0 

404.11 

+  1.03 

510.84 

+1.10 

681.96 

+  1.12 

784.41 

+  1.12 

845.11 

+1.09 

0.1 

405.14 

1.04 

511.94 

1.09 

623.0S 

1.13 

735.53 

1.12 

846.20 

1.09 

0.2 

406.18 

1.03 

513.03 

1.10 

624.21 

1.12 

736.65 

1.12 

8  17.2! 

1  .08 

0.3 

407.21 

1.04 

514.13 

1.09 

625.3.'} 

1.13 

737.77 

1.12 

8i8.:i7 

1.09 

0.4 

408.25 

1.04 

515.22 

1.10 

626.46 

1.12 

738.89 

1.12 

8  !!».!( 

1.08 

0.5 

409.29 

1.04 

516.32 

1.10 

627.58 

1.12 

740.01 

1.12 

850.54 

1.09 

0.6 

410.33 

1.04 

517.42 

1.09 

628.70 

1.13 

741.13 

1.12 

851.63 

1.08 

0.7 

411.37 

1.04 

518.51 

1.10 

629.83 

1.12 

742.25 

1.12 

852.71 

1.09 

0.8 

412.41 

1.04 

519.61 

1.10 

630.95 

1.13 

743.37 

1.12 

853.80 

1.08 

0.9 

413.45 

1.05 

520.71 

1.09 

632.08 

1.12 

744.49 

1.12 

854.88 

1.09 

1.0 

414.50 

1.04 

521.80 

1.10 

633.20 

1.12 

745.61 

1.12 

855.97 

1.08 

1.1 

415.54 

1.04 

522.90 

1.10 

<i:i  1.32 

1.13 

746.73 

1.12 

857.0f 

1.08 

1.2 

416.58 

1.05 

524.00 

1.10 

635.45 

1.12 

747.85 

1.12 

858.13 

1.08 

1.3 

417.63 

1.04 

525.10 

1.10 

636.57 

1.13 

748.97 

1.11 

859.21 

1.08 

1.4 

418.67 

1.05 

526.20 

1.10 

637.70 

1.12 

750.08 

1.12 

860.29 

1.08 

1.5 

419.72 

1.04 

527.30 

1.10 

638.82 

1.12 

751.20 

1.12 

861.37 

1.08 

1.6 

420.76 

1.05 

528.40 

1.10 

639.94 

1.13 

752.32 

1.12 

862.45 

1.08 

1.7 

421.81 

1.05 

529.50 

1.11 

641.07 

1.12 

753.44 

1.12 

863.53 

1.08 

1.8 

422.86 

1.05 

530.61 

1.10 

642.19 

1.13 

754.56 

1.11 

864.61 

1.08 

1.9 

423.91 

1.05 

531.71 

1.10 

643.32 

1.12 

755.67 

1.12 

865.69 

1.08 

2.0 

424.96 

1.05 

532.81 

1.10 

644.44 

1.13 

756.79 

1.12 

866.77 

1.08 

2.1 

426.01 

1.05 

533.91 

1.11 

645.57 

1.12 

757.91 

1.11 

867.85 

1.07 

9£ 

427.06 

1.05 

535.02 

1.10 

646.69 

1.13 

759.02 

1.12 

868.92 

1.08 

2.3 

428.11 

1.05 

536.12 

1.10 

647.82 

1.12 

760.14 

1.11 

870.00 

1.08 

2.4 

429.16 

1.05 

537.22 

1.11 

648.94 

1.13 

761.25 

1.12 

871.08 

1.07 

2.5 

430.21 

1.06 

538.33 

1.10 

650.07 

1.12 

762.37 

1.12 

872.15 

1.08 

2.6 

431.27 

1.05 

539.43 

1.11 

651.19 

1.13 

763.49 

1.11 

873.23 

1.07 

2.7 

432.32 

1.06 

540.54 

1.10 

652.32 

1.13 

764.60 

1.12 

874.30 

1.07 

2.8 

43338 

1.05 

541.64 

1.11 

653.45 

1.12 

765.72 

1.11 

875.37 

1.08 

2.9 

434.43 

1.06 

542.75 

1.10 

654.57 

1.13 

766.83 

1.11 

876.45 

1.07 

3.0 

435.49 

1.05 

543.85 

1.11 

655.70 

1.12 

767.94 

1.12 

877.52 

1.07 

3.1 

436.54 

1.06 

544.96 

1.11 

656.82 

1.13 

769.06 

1.11 

878.59 

1.07 

3.2 

437.HO 

1.06 

546.07 

1.10 

657.95 

1.12 

770.17 

1.12 

879.66 

1.07 

:t.:t 

438.66 

1.06 

r.17.17 

1.11 

659.07 

1.13 

771.29 

1.11 

880.73 

1.07 

3.4 

439.72 

1.06 

548.28 

1.11 

660.20 

1.13 

772.40 

1.11 

881.80 

1.07 

3.5 

440.78 

1.06 

549.39 

1.11 

661.33 

1.12 

773.51 

1.12 

882.87 

1.07 

3.6 

441.84 

1.06 

550.50 

1.10 

662.  1.") 

1.13 

774.63 

1.11 

88.-J.9  | 

1.07 

3.7 

442.90 

1.06 

551.60 

1.11 

<;<;:(.  ;>s 

1.12 

775.74 

1.11 

886.01 

1.07 

3.8 

148.96 

1.06 

552.71 

1.11 

664,70 

1.13 

776.85 

1.11 

886.08 

1.07 

3.9 

445.02 

1.06 

553.82 

1.11 

665.83 

1.12 

777.96 

1.11 

887.15 

1.06 

4.0 

1  16.08 

1.06 

55493 

1.11 

666.95 

1.13 

779.07 

1.11 

888.21 

1.07 

4.1 

447.14 

1.07 

r>;,(i.o  i 

1.11 

lids.  Os 

1.13 

780.18 

1.12 

889.28 

1.07 

4.2 

448.21 

1.06 

557.15 

1.11 

669.21 

1.12 

7M.:tO 

1.11 

8!(0.  .-{.-> 

1.06 

4.3 

449.27 

1.07 

588J26 

1.11 

670.33 

1.13 

789.41 

1.11 

8(11.11 

1.06 

4.4 

450.34 

1.06 

559.37 

1.11 

671.46 

1.12 

783.52 

1.11 

898.47 

1.07 

4.5 

l.-)l.l() 

1.07 

560.48 

1.11 

67*58 

1.13 

784.63 

1.11 

N93.5  1 

1.06 

4.6 

ir.-j.  n 

1.06 

5*L59 

1.12 

673.7  1 

1.13 

7N.-..7  1 

1.11 

894.60 

1.06 

4.7 

i:>:t..->:i 

1.07 

:.(;•_'.  7  1 

1.11 

671>l 

1.12 

786.85 

1.11 

896.66 

1.07 

4.8 

i.-.l.iio 

1.07 

563.82 

1.11 

675.96          1.13 

787.9C 

1.10 

896.73 

1.06 

4.9 

I/.5.67          1.07 

564.93 

1.11 

677.09          1.12 

78i).0li 

1.11 

807.79 

1.06 

5.0 

i:.i;.7  i     +1.06 

568.04 

+  1.11 

H7-V21'     +1.13 

790.17 

+1.11 

81)8.85 

+  1.06 

128 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670".3  sin.  a  —  7".9  sin.  2z, 
Period,  365.259687  days. 


Da 

ys.         2i 

SO 

* 

SO 

21 

ro 

2 

§o 

21 

M 

Days. 

Equation. 

Di  (Terence 

Equation. 

Difference 

Equation. 

Difference 

Equation. 

Difference 

Equation. 

Difference. 

I 

5.0 

456.74 

+1.06 

566.04 

+1.11 

678.21 

+1.1 

790.17 

+  1.1 

898.8 

+  1.06 

5.1 

457.80 

1.07 

567.15 

1.12 

679.34 

1.1 

791.28 

1.11 

899.9 

1.06 

5.2 

458.87 

1.07 

568.27 

1.11 

680.4f 

1.1 

792.38 

1.11 

900.9 

1.06 

5.3 

459.94 

1.08 

569.38 

1.11 

681.59 

1.1 

793.50 

1.10 

902.0 

1.05 

5.4 

461.02 

1.07 

570.49 

1.12 

682.72 

1.1 

794.60 

1.11 

903.0 

1.06 

5.5 

462.09 

1.07 

571.61 

1.11 

683.84 

1.1 

795.71 

1.11 

904.14 

1.06 

5.6 

463.16 

1.07 

572.72 

1.12 

684.97 

1.1 

796.82 

1.10 

905.20 

1.05 

5.7 

464.23 

1.07 

573.84 

1.11 

686.09 

1.13 

797.92 

1.11 

906.25 

1.06 

5.8 

465.30 

1.08 

574.95 

1.12 

687.22 

1.12 

799.03 

1.10 

907.3 

1.05 

5.9 

466.38 

1.07 

576.07 

1.11 

688.34 

1.11 

800.13 

1.11 

908.36 

1.06 

6.0 

467.45 

1.07 

577.18 

1.11 

689.45 

1.14 

801.24 

1.10 

909.42 

1.05 

6.1 

468.52 

1.08 

578.29 

1.12 

690.59 

1.13 

802.34 

1.11 

910.47 

1.05 

6.2 

469.60 

1.08 

579.41 

1.12 

691.72 

1.12 

803.45 

1.10 

911.52 

1.06 

6.3 

470.68 

1.07 

580.53 

1.11 

692.84 

1.13 

804.55 

1.10 

912.58 

1.05 

6.4 

471.75 

1.08 

581.64 

1.12 

693.97 

1.12 

805.65 

1.11 

913.63 

1.05 

6.5 

472.83 

1.08 

582.76 

1.12 

695.09 

1.13 

806.76 

1.10 

914.68 

1.05 

6.6 

473.91 

1.07 

583.88 

1.11 

696.22 

1.13 

807.86 

1.10 

915.73 

1.05 

6.7 

474.98 

1.08 

581.99 

1.12 

697.35 

1.12 

808.96 

1.10 

916.78 

1.05 

6.8 

476.06 

1.08 

586.11 

1.12 

698.47 

1.13 

810.06 

1.11 

917.83 

1.04 

6.9 

477.14 

1.08 

587.23 

1.12 

699.60 

1.12 

811.17 

1.10 

918.87 

1.05 

7.0 

478.22 

1.08 

588.35 

1.11 

700.72 

1.12 

812.27 

1.10 

919.92 

1.05 

7.1 

479.30 

1.08 

589.46 

1.12 

701.84 

1.13 

813.37 

1.10 

920.97 

1.04 

7.2 

480.38 

1.08 

590.58 

1.12 

702.97 

1.12 

814.47 

1.10 

922.01 

1.05 

7.3 

481.46 

1.09 

591.70 

1.12 

704.09 

1.13 

815.57 

1.10 

923.06 

1.04 

7.4 

482.55 

1.08 

592.82 

1.12 

705.22 

1.12 

816.67 

1.10 

924.10 

1.05 

7.5 

483.63 

1.08 

593.94 

1.11 

706.34 

1.13 

817.77 

1.10 

925.15 

1.04 

7.6 

484.71 

1.08 

595.05 

1.12 

707.47 

1.12 

818.87 

1.09 

926.19 

1.04 

7.7 

485.79 

1.09 

596.17 

1.12 

708.59 

1.12 

819.96 

1.10 

927.23 

1.05 

7.8 

486.88 

1.08 

597.29 

1.12 

709.71 

1.13 

821.06 

1.10 

928.28 

1.04 

7.9 

487.96 

1.09 

598.41 

1.12 

710.84 

1.12 

822.16 

1.10 

929.32 

1.04 

8.0 

489.05 

1.08 

599.53 

1.12 

711.96 

1.13 

823.26 

1.09 

930.36 

1.04 

8.1 

490.13 

1.09 

600.65 

1.12 

713.09 

1.12 

824.35 

1.10 

931.40 

'  1.04 

8.2 

491.22 

1.08 

601.77 

1.12 

714.21 

1.12 

825.45 

1.10 

932.44 

1.04 

8.3 

492.30 

1.09 

602.89 

1.12 

715.33 

1.13 

826.55 

1.09 

933.48 

1.03 

8.4 

493.39 

1.09 

604.01 

1.12 

716.46 

1.12 

827.64 

1.10 

934.51 

1.04 

8.5 

464.48 

1.08 

605.13 

1.12 

717.58 

1.12 

828.74 

1.09 

935.55 

1.04 

8.6 

495.56 

1.09 

606.25 

1.12 

718.70 

1.13 

829.83 

1.10 

936.59 

1.03 

8.7 

496.65 

1.09 

607.37 

1.13 

719.83 

1.12 

830.93 

1.09 

937.62 

1.04 

8.8 

497.74 

1.09 

608.50 

1.12 

720.95 

1.12 

832.02 

1.09 

938.66 

1.03 

8.9 

498.83 

1.09 

609.62 

1.12 

722.07 

1.12 

833.11 

1.10 

939.69 

1.03 

9.0 

499.92 

1.09 

610.74 

1.12 

723.19 

1.13 

834.21 

1.09 

940.72 

1.04 

9.1 

501.01 

1.09 

611.86 

1.12 

724.32 

1.12 

835.30 

1.09 

941.76 

1.03 

9.2 

502.10 

1.09 

612.98 

1.12 

725.44 

1.12 

836.39 

1.09 

942.79 

1.03 

9.3 

503.19 

1.09 

fill.  10 

1.13 

726.56 

1.12 

837.48 

1.09 

943.82 

1.03 

9.4 

504.28 

1.09 

615.23 

1.12 

727.68 

1.12 

838.57 

1.09 

944.85 

1.03 

9.5 

505.37 

1.10 

616.35 

1.12 

728.80 

1.13 

839.66 

1.09 

945.88 

1.03 

9.6 

506.47 

1.09 

617.47 

1.12 

729.93 

1.12 

840.75 

1.09 

946.91 

1.02 

9.7 

507.56 

1.09 

618.59 

1.13 

731.05! 

1.12 

841.84 

1.09 

947.93 

1.03 

9.8 

508.65 

1.10 

619.72 

1.12 

732.17 

1.12 

842.93 

1.09 

948.96 

1.03 

9.9 

509.75 

-f-1.09 

620.84 

+1.12 

733.29 

+  1.12 

844.02 

+1.09 

949.99 

+  1.02 

10.0 

510.84 

621.96 

734.41 

845.11 

951.01 

129 


TABLE  IX.    ARGUMENT  4. 

Equation  =670".500  —  670".3  sin.  z  — 7".9  sin.  2z. 
Period,  365.259687  days. 


Days.    3OO 

310 

3*20 

330 

31O 

Days. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

d. 
0.0 

951.01 

+1.03 

1019.17 

-K93 

1136.80 

+.81 

1211.36 

+.67 

1270.60 

+.51 

0.1 

952.04 

1.02 

1050.10 

.93 

1137.61 

.81 

1212.03 

.67 

1271.11 

.51 

0.2 

953.06 

1.02 

1051.03 

.93 

1138.42 

.83 

1212.70 

.67 

1271.62 

.50 

0.3 

954.08 

1.03 

1051.96 

.93 

1139.24 

.81 

1213.37 

.67 

1872.12 

.51 

0.4 

955.11 

1.02 

1052.89 

.93 

1140.05 

.80 

1214.04 

.66 

1272.63 

.50 

0.5 

956.13 

1.02 

1053.82 

.93 

1  140.85 

.81 

1214.70 

.67 

1273.13 

.50 

0.6 

957.15 

1.02 

1051.7.') 

.93 

1141.66 

.81 

1215.37 

.66 

127:t.(i:{ 

.50 

0.7 

958.17 

1.02 

1055.68 

.92 

1142.47 

.80 

1216.03 

.66 

1274.13 

.49 

0.8 

959.19 

1.02 

1056.60 

.92 

1143.27 

.81 

1216.69 

.66 

1274.62 

.50 

0.9 

960.21 

1.01 

1057.52 

.93 

1144.08 

.80 

1217.35 

.66 

1275.12 

.49 

1.0 

961.22 

1.02 

1058.45 

.92 

1144.88 

.80 

1218.01 

.65 

1275.61 

.49 

1.1 

962.24 

1.02 

1059.37 

.92 

1  145.68 

.80 

1218.66 

.66 

1276.10 

.49 

1.2 

963.26 

1.01 

1060.29 

.92 

1146.48 

.80 

1219.32 

.65 

1276.59 

.49 

1.3 

964.27 

1.01 

1061.21 

.92 

1147.28 

.80 

1219.97 

.65 

1277.08 

.49 

1.4 

965.28 

1.02 

1062.13 

.92 

1148.08 

.79 

1220.62 

.65 

1277.57 

.48 

1.5 

966.30 

1.01 

1063.05 

.91 

1148.87 

.80 

1221.27 

.65 

1278.05 

.48 

1.6 

967.31 

1.01 

1063.96 

.92 

1149.67 

.79 

1221.92 

.65 

1278.53 

.48 

1.7 

968.32 

1.01 

1064.88 

.91 

1150.46 

.79 

1222.57 

.64 

1279.01 

.48 

1.8 

969.33 

1.01 

1065.79 

.92 

1151.25 

.79 

1223.21 

.65 

1279.49 

.48 

1.9 

970.34 

1.01 

1066.71 

.91 

1152.04 

.79 

1223.86 

.64 

1279.-J7 

.47 

2.0 

971.35 

1.01 

1067.62 

.91 

1152.83 

.79 

1224.50 

.64 

1280.44 

.48 

2.1 

972.36 

1.01 

1068.53 

.91 

1153.62 

.79 

1225.14 

.64 

1280.92 

.47 

2.2 

973.37 

1.01 

1069.44 

.91 

1151  11 

.78 

1225.78 

.63 

1281.39 

.47 

2.3 

974.38 

1.00 

1070.35 

.91 

1155.19 

.78 

1226.41 

.64 

1281.86 

.47 

2.4 

975.38 

1.01 

1071.26 

.91 

1155.97 

.79 

1227.05 

.63 

1282.33 

.47 

2.5 

976.39 

1.00 

1072.17 

.90 

1156.76 

.78 

1227.68 

.64 

1282.80 

.46 

2.6 

977.39 

1.01 

1073.07 

.91 

115?.f>l 

.78 

1228.32 

.63 

1283.26 

.46 

2.7 

978.40 

1.00 

107:{.!)N 

.90 

1  158.32 

.78 

1228.95 

.63 

1283.72 

.46 

2.8 

979.40 

1.00 

1074.88 

.90 

1159.10 

.77 

1229.58 

.63 

1284.18 

.46 

2.9 

980.40 

1.00 

1075.78 

.90 

1159.87 

.78 

1230.21 

.62 

1284.64 

.46 

3.0 

981.40 

1.00 

1076.68 

.90 

1160.65 

.77 

1230.83 

.63 

1285.10 

.46 

3.1 

982.40 

1.00 

1077.58 

.90 

1161.42 

.77 

1231.46 

.62 

1285.56 

.45 

3.2 

983.40 

1.00 

1078.48 

.90 

1162.19 

.78 

1232.08 

.62 

1286.01 

.45 

3.3 

B84.40 

1.00 

107!).3N 

.90 

1162.97 

.77 

1232.70 

.62 

1286.46 

.45 

3.4 

985.40 

.99 

1080.28 

.89 

1163.74 

.76 

1233.32 

.62 

1286.91 

.45 

3.5 

986.39 

1.00 

1081.17 

.90 

1164.50 

.77 

123:!.!)  1 

.62 

1287i86 

.45 

3.6 

987.39 

.99 

10N2.07 

.so 

1165.27 

.77 

1884.56 

.61 

1287.81 

.45 

3.7 

088.88 

1.00 

1082.96 

.Nil 

1166.04 

.76 

1235.17 

.61 

1288.26 

.44 

3.8 

089.38 

.99 

1083.85 

.89 

1166.80 

.76 

1235.78 

.62 

1288.70 

.44 

3.9 

990.37 

.99 

1084.74 

.89 

1167.56 

.77 

1236.40 

.61 

1289.14 

.44 

4.0 

991.36 

.99 

1085.63 

.89 

1168.33 

.76 

1237.01 

.61 

1289.58 

.44 

4.1 

999.85 

.99 

1086.58 

.89 

1169.09 

.75 

1237.62 

.60 

1990.02 

.44 

4.2 

i»!»:i.:{| 

.99 

10N7.41 

.88 

1169.84 

.76 

1238.22 

.61 

1290.46 

.43 

4.3 

«»!M.:n 

.!)!J 

10NN.2!) 

.89 

1170.60 

.76 

1388.8& 

.60 

1290.  N!) 

.44 

4.4 

995.32 

.99 

1089.18 

.88 

1171.36 

.75 

123'.).  13 

.60 

1291.33 

.43 

4.5 

!>!lfi.31 

.99 

1090.06 

.88 

1172.11 

.75 

1240.03 

.60 

1291.76 

.43 

4.6 

9i)7.:«) 

.98 

1090.94 

.89 

1172.86 

.75 

1240.63 

.60 

1292.19 

.42 

4.7 

99N.28 

.99 

lO'Jl.N.'t 

.88 

1173.61 

.75 

1241.23 

.60 

1292.61 

.43 

4.8 

999.27 

.98 

1092.71 

.88 

1174.36 

.75 

1241.83 

.60 

1293.04 

.42 

4.9 

1000.25 

.W 

1093.59 

.87 

1175.11 

.75 

1242.  13 

.59 

[383.46 

.43 

^>.o 

1001.24 

+  .98 

1094.46 

+.88 

1175.86 

+.75 

1243.02 

+.59 

1293.89 

+.42 

130 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670".  3  sin.  *  —  7".9  sin.  2z. 
Period,  365.259687  days. 


Days.     3OO 

310  • 

33O 

33O 

34O 

I);iys. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference 

Equation. 

Difference. 

d. 

5.0 

1001.24 

+.98 

1094.46 

+.88 

1175.86 

+  .75 

.  1243.02 

+.59 

1293.8 

+.42 

5.1 

1002.22 

.98 

1095.34 

.88 

1176.61 

.74 

1243.61 

.59 

1294.3 

.41 

5.2 

1003.20 

.98 

1096.22 

.87 

1177.35 

.74 

1244.20 

.59 

1294.7 

.42 

5.3 

1004.18 

.98 

1097.09 

.87 

1178.09 

.74 

1244.79 

.59 

1295.1 

.42 

5.4 

1005.16 

.98 

1097.96 

.88 

1178.83 

.74 

1245.38 

.59 

1295.5 

.41 

5.5 

1008.14 

.97 

1098.84 

.87 

1179.57 

.74 

1245.97 

.58 

1295.97 

.41 

5.6 

1007.11 

.98 

1099.71 

.87 

1180.31 

.74 

1246.55 

.58 

1296.38 

.41 

5.7 

1008.09 

.98 

1100.58 

.87 

1181.05 

.74 

1247.13 

.58 

1296.79 

.41 

5.8 

1009.07 

.97 

1101.45 

.86 

1181.79 

.73 

1247.71 

.58 

1297.20 

.40 

5.9 

1010.04 

.98 

1102.31 

.87 

1182.52 

.73 

1248.29 

.58 

1297.60 

.41 

6.0 

1011.02 

.97 

1103.18 

.86 

1183.25 

.73 

1248.87 

.58 

1298.0 

.40 

6.1 

1011.99 

.97 

1104.04 

.87 

1183.98 

.73 

1249.45 

.57 

1298.4 

.40 

6.2 

1012.96 

.97 

1104.91 

.86 

1184.71 

.73 

1250.02 

.57 

1298.81 

.40 

6.3 

1013.93 

.97 

1  105.77 

.86 

1185.44 

.73 

1250.59 

.58 

129921 

.40 

6.4 

1014.90 

.97 

1106.63 

.86 

1186.17 

.73 

1251.17 

.56 

1299.61 

.39 

6.5 

1015.87 

.97 

1107.49 

.86 

1186.90 

.72 

1251.73 

.57 

1300.00 

.39 

6.6 

1016.84 

.97 

1108.35 

.86 

1187.62 

.72 

1252.30 

.57 

1300.39 

.39 

6.7 

1017.81 

.96 

1109.21 

.85 

1188.34 

.72 

1252.87 

.56 

1300.78 

.39 

6.8 

1018.77 

.97 

1110.06 

.86 

1189.06 

.72 

1253.43 

.57 

1301.17 

.39 

6.9 

1019.74 

.96 

1110.92 

.85 

1189.78 

.72 

1254.00 

.56 

1301.56 

.36 

7.0 

1020.70 

.97 

1111.77 

.85 

1190.50 

.72 

1254.56 

.56 

1301.95 

.38 

7.1 

1021.67 

.96 

1112.62 

.85 

1191.22 

.71 

1255.12 

.55 

1302.33 

.38 

7.2 

1022.63 

.96 

1113.47 

.85 

1191.93 

.72 

1255.67 

.56 

1302.71 

.39 

7.3 

1023.59 

.96 

1114.32 

.85 

1192.65 

.71 

1256.23 

.55 

1303.10 

.37 

7.4 

1024.55 

.96 

1115.17 

.85 

1193.36 

.71 

1256.78 

.56 

1303.47 

.38 

7.5 

1025.51 

.96 

1116.02 

.85 

1194.07 

.71 

1257.34 

.55 

1303.85 

.38 

7.6 

1026.47 

.96 

1116.87 

.84 

1194.78 

.71 

1257.89 

.55 

1304.23 

.37 

7.7 

1027.43 

.95 

1117.71 

.85 

1195.49 

.70 

1258.44 

.54 

1304.60 

.37 

7.8 

1028.38 

.96 

1118.56 

.84 

1196.19 

.71 

1258.98 

.55 

1304.97 

.37 

7.9 

1029.34 

.95 

1119.40 

.84 

1196.90 

.70 

1259.53 

.55 

1305.34 

.37 

8.0 

1030.29 

.96 

1120.24 

.84 

1197.60 

.71 

1260.08 

.54 

1305.71 

.36 

8.1 

1031.25 

.95 

1121.08 

.84 

1198.31 

.70 

1260.62 

.54 

1306.07 

.37 

8.2 

1032.20 

.95 

1121.92 

.84 

1199.01 

.69 

1261.16 

.54 

1306.44 

.36 

8.3 

1033.15 

.95 

1122.76 

.83 

1199.70 

.70 

1261.70 

.54 

1306.80 

.36 

8.4 

1034.10 

.95 

1123.59 

.84 

1200.40 

.70 

1262.24 

.53 

1307.16 

.36 

8.5 

1035.05 

.95 

1124.43 

.83 

1201.10 

.69 

1262.77 

.54 

1307.52 

.35 

8.6 

1036.00 

.94 

1125.26 

.84 

1201.79 

.69 

1263.31 

.53 

1307.87 

.36 

8.7 

1036.94 

.95 

1126.10 

.83 

1202.48 

.70 

1263.84 

.53 

1308.23 

.35 

8.8 

1037.89 

.94 

1126.93 

.83 

1203.18 

.69 

1264.37 

.53 

1308.58 

.35 

8.9 

1038.83 

.95 

1127.76 

.82 

1203.87 

.69 

1264.90 

.53 

1308.93 

.35 

9.0 

1039.78 

.94 

1128.58 

.83 

1204.56 

.68 

1265.43 

.52 

1309.28 

.35 

9.1 

1040.72 

.95 

1129.41 

.83 

1205.24 

.69 

1265.95 

.52 

1309.63 

.34 

9.2 

1041.67 

.94 

1130.24 

.82 

1205.93 

.68 

1266.47 

.53 

1309.97 

.35 

9.3 

1042.61 

.94 

1131.06 

.82 

1206.61 

.68 

1267.00 

.52 

1310.32 

.34 

9.4 

1043.55 

.94 

1131.88 

.83 

1207.29 

.69 

1267.52 

.52 

1310.66 

.34 

9.5 

1044.49 

.93 

1132.71 

.82 

1207.98 

.67 

1268.04 

.51 

1311.00 

.34 

9.6 

1045.42 

.94 

1133.53 

.82 

1208.65 

.68 

1268.55 

.52 

1311.84 

.33 

9.7 

1046.36 

.94 

1131.35 

.81 

1209.33 

.68 

1269.07 

.51 

1311.67 

.34 

9.8 

1047.30 

.93 

1135.16 

.  .82 

1210.01 

.67 

1269.58 

.51 

1312.01 

.33 

9.9 

1048.23 

-t-.94 

1135.98 

+.82 

1210.68 

+.68 

1270.09 

+.51 

1312.34 

+.33 

10.0 

1049.17 

1136.80 

1211.36 

1270.60 

t 

1312.67 

131 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670".3  sin.  *—  7".9  »in.  2*. 
Period,  365.259687  days. 


Days.                                             :MO 

360 

Days 

Equation. 

Difference. 

Equation. 

Difference. 

d. 

0.0 

1312.67 

+.33 

1336".14 

+.13 

0.1 

1313.00 

.33 

1336.27 

.14 

0.2 

1313.33 

.32 

1336.41 

.13 

0.3 

1313.65 

.33 

1336.54 

.13 

0.4 

1313.98 

.32 

1336.67 

.13 

0.5 

1314.30 

.32 

1336.80 

.13 

0.6 

1314.62 

.31 

1336.93 

.12 

0.7 

1314.93 

.32 

1337.05 

.13 

0.8 

1315.25 

.31 

1337.18 

.12 

0.9 

1315.56 

.31 

1337.30 

.12 

1.0 

1315.87 

.31 

1337.42 

.12 

1.1 

1316.18 

.31 

1337.54 

.11 

1.2 

1316.49 

.31 

1337.65 

.12 

1.3 

1316.80 

.30 

1337.77 

.11 

1.4 

1317.10 

.30 

1337.88 

.11 

1.5 

1317.40 

.30 

1337.99 

.11 

1.6 

1317.70 

.30 

1338.10 

.10 

1.7 

1318.00 

.30 

1338.20 

.11 

1.8 

1318.30 

.30 

1338.31 

.10 

1.9 

1318.60 

.29 

1338.41 

.10 

2.0 

1318.89 

.29 

1338.51 

.10 

2.1 

1319.18 

.29 

1338.61 

.09 

2.2 

1319.47 

.29 

1338.70 

.10 

23 

1319.76 

.28 

1338.80 

.09 

2.4 

1320.04 

.29 

1338.89 

.09 

2.5 

1320.33 

.28 

1338.98 

.09 

2.6 

1320.61 

.28 

1339.07 

.08 

2.7 

1320.89 

.28 

1339.15 

.09 

2.8 

1321.17 

.27 

1339.24 

.08 

2.9 

1321.44 

58 

1339.32 

.08 

3.0 

1321.72 

57 

1339.40 

.07 

3.1 

1321.99 

.26 

1339.47 

.08 

3.2 

1322.25 

.27 

i:f:j9.55 

.08 

3.3 

1322.52 

.27 

1339.63 

.07 

3.4 

1322.79 

56 

1339.70 

.07 

8.5 

1323.05 

.27 

1339.77 

.07 

3.6 

1323.32 

.26 

1339.84 

.06 

3.7 

1323.58 

.26 

1339.90 

.07 

3.8 

1323.84 

.26 

1339.97 

.06 

3.9 

1324.10 

.25 

1340.03 

.06 

4.0 

1324.35 

.26 

1340.09 

.06 

4.1 

1324.61 

55 

1340.15 

.06 

4.2 

1324.86 

55 

1340.21 

.05 

4.3 

1325.11 

54 

1340.26 

.06 

4.4 

1325.35 

55 

1340.32 

.05 

4.5 

1325.60 

54 

1340.37 

.05 

4.6 

1325.84 

54 

1340.42 

.04 

4.7 

1326.08 

54 

1340.46 

.05 

4.8 

\3M.:u 

54 

1.-U0.51 

.04 

4.9 

UMJS6 

54 

1340.55 

.04 

5.0 

1326.80 

+53 

1340.59 

+.03 

132 


TABLE  IX.    ARGUMENT  4. 

Equation  =  670".500  —  670".3  sin.  *— 7".9  sin.  2*. 
Period,  365,259687  days. 


Days.                 35O 

36O 

Days. 

Equation. 

Difference. 

Equation. 

Difference. 

d. 

5.0 

1326.80 

+.23 

1340".59 

+.03 

5.1 

1327.03 

.23 

1340.62 

.04 

5.2 

1327.26 

.24 

1340.66 

.04 

5.3 

1327.50 

.22 

1340.70 

.03 

5.4 

1327.72 

.23 

1340.73 

.03 

5.5 

1327.95 

.22 

1340.76 

.03 

5.6 

1328.17 

.23 

1340.79 

.03 

5.7 

1328.40 

.22 

1340.82 

.02 

5.8 

1328.62 

.22 

1340.84 

.03 

5.9 

1328.84 

.21 

1340.87 

.02 

6.0 

1329.05 

.22 

1340.89 

.02 

6.1 

1329.27 

.21 

1340.91 

.01 

6.2 

1329.48 

.21 

1340.92 

.02 

6.3 

1329.69 

.21 

1340.94 

.01 

6.4 

1329.90 

.21 

1340.95 

.01 

6.5 

1330.11 

.20 

1340.96 

.01 

6.6 

1330.31 

.21 

1340.97 

.01 

6.7 

1330.52 

.20 

1340.98 

.00 

6.8 

1330.72 

.20 

1340.98 

.00 

6.9 

1330.92 

.20 

1340.98 

+.01 

7.0 

1331.12 

.19 

1340.99 

.00 

7.1 

1331.31 

.20 

1340.99 

-.01 

7.2 

1331.51 

.19 

1340.98 

.00 

7.3 

1331.70 

.19 

1340.98 

.01 

7.4 

1331.89 

.18 

1340.97 

.00 

7.5 

1332.07 

.19 

1340.97 

.01 

7.6 

1332.26 

.18 

1340.96 

.02 

7.7 

1332.44 

.19 

1340.94 

.01 

7.8 

1332.63 

.18 

1340.93 

.02 

7.9 

1332.81 

.17 

1340.91 

.02 

8.0 

1332.98 

.18 

1340.89 

.02 

8.1 

1333.16 

.17 

1340.87 

.03 

8.2 

1333.33 

.18 

1340.84 

.02 

8.3 

1333.51 

.17 

1340.82 

.03 

8.4 

1333.68 

.17 

1340.79 

.03 

8.5 

1333.85 

.16 

1340.76 

.03 

8.6 

1334.01 

.17 

1340.73 

.03 

8.7 

1334.18 

.16 

1340.70 

.04 

8.8 

1334.34 

.16 

1340.66 

.04 

8.9 

1334.50 

.16 

1340.62 

.04 

9.0 

1334.66 

.16 

1340.58 

.04 

9.1 

1334.82 

.15 

1340;54 

.04 

9.2 

1334.97 

.15 

1340.50 

.04 

9.3 

1335.12 

.15 

1340.46 

.05 

9.4 

1335.27 

.15 

1340.41 

.05 

9.5 

1335.42 

.15 

1340.36 

.05 

9.6 

1335.57 

.15 

1340.31 

.05 

9.7 

1335.72 

.14 

1340.26 

.05 

9.8 

1335.86 

.14 

1340.21 

.06 

9.9 

1336.00 

+.14 

1340.15 

-.06 

10.0 

1336.14 

1340.09 

133 


TABLE  X.    ARGUMENT  5. 


Equation  =  225".300  -j-  18".0  sin.  (x  —  t)  —  212".4  sin.  2  (x  —  /). 
Period,  411.78517  days. 


Days.           O 

1O 

2O 

30 

40 

SO 

Days. 

Equation. 

Diar. 

EquaUun. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff 

Equation, 

nur 

Equation. 

Diff. 

d. 

0.0 

15.73 

.24 

0.73 

.05 

5.62 

.15 

29.82 

.33 

71.00 

.48 

125.26 

.60 

0.1 

15.49 

.25 

0.68 

.05 

5.77 

.15 

30.15 

.84 

71.48 

.49 

125.86 

.59 

0.2 

15.24 

.24 

0.63 

.04 

5.92 

.15 

30.49 

.34 

71.97 

.49 

126.45 

.59 

0.3 

15.00 

.24 

0.59 

.05 

6.07 

.16 

30.83 

.33 

72.46 

.49 

12704 

.60 

0.4 

14.76 

.24 

0.54 

.04 

6.23 

.15 

31.16 

.31 

72.95 

.49 

127.64 

.60 

0.5 

14.52 

.23 

0.50 

.04 

6.38 

.16 

31.50 

.34 

73.44 

.49 

128.24 

.59 

0.6 

14.29 

.24 

0.46 

.04 

6.54 

.16 

31.84 

.35 

73.93 

.49 

128.83 

.60 

0.7 

14.05 

.23 

0.42 

.03 

6.70 

.17 

82.19 

.34 

74.42 

.50 

129.43 

.60 

0.8 

13.82 

.23 

039 

.04 

6.87 

.16 

32.53 

.35 

74.92 

.49 

130.03 

.60 

0.9 

13.59 

.23 

0.35 

.03 

7.03 

.17 

32.88 

.35 

75.41 

.50 

130.63 

.60 

1.0 

13.36 

.23 

0.32 

.03 

7.20 

.16 

33.23 

.35 

75.91 

.50 

131.23 

.60 

1.1 

13.13 

.22 

0.29 

.03 

7.36 

.17 

33.58 

.35 

76.41 

.50 

131.83 

.60 

1.2. 

12.91 

.23 

0.26 

.02 

7.53 

.18 

33.93 

.35 

76.91 

.50 

13243 

.60 

1.3 

12.68 

.22 

0.24 

.03 

7.71 

.17 

34.28 

.36 

77.41 

.50 

188.03 

.60 

1.4 

12.46 

.22 

0.21 

.02 

7.88 

.18 

34.64 

.35 

77.91 

.50 

133.63 

.60 

1.5 

12.24 

.21 

0.19 

.02 

8.06 

.17 

34.99 

.26 

78.41 

.51 

134.23 

.61 

1.6 

12.03 

.22 

0.17 

.02 

8.23 

.18 

35.35 

.36 

78.92 

.51 

18484 

.60 

1.7 

11.81 

.22 

0.15 

.01 

8.41 

.19 

35.71 

.36 

79.43 

.50 

135.44 

.61 

1.8 

11.59 

.21 

0.14 

.02 

8.60 

.18 

36.07 

.37 

79.93 

.51 

136.05 

.60 

1.9 

11.38 

.21 

0.12 

.01 

8.78 

.19 

36.44 

.36 

80.44 

.51 

136.65 

.61 

2.0 

11.17 

.20 

0.11 

.01 

8.97 

.18 

36.80 

.37 

80.95 

.51 

137.26 

.61 

2.1 

10.97 

.21 

0.10 

.01 

9.15 

.19 

37.17 

.37 

81.46 

.51 

137.87 

.60 

2.2 

10.76 

.20 

0.09 

.00 

9.34 

.19 

37.54 

.37 

81.97 

.52 

138.47 

.61 

2.3 

10.56 

.20 

0.09 

.01 

9.53 

.20 

37.91 

.37 

82.49 

.51 

139.08 

.61 

2.4 

10.36 

.20 

0.08 

.00 

9.73 

.19 

38.28 

.37 

83.00 

.52 

189.69 

.61 

2.5 

10.16 

.20 

0.08 

.00 

9.92 

.20 

38.65 

.38 

83.52 

.51 

140.HO 

.61 

2.6 

9.96 

.20 

0.08 

.00 

10.12 

.20 

39.03 

.87 

84.03 

.52 

140.91 

.61 

2.7 

9.76 

.19 

0.08 

.01 

10.32 

.20 

39.40 

..'is 

84.55 

.52 

141.52 

.62 

2.8 

9.57 

.20 

0.09 

.00 

10.52 

.20 

39.78 

.38 

85.07 

.52 

142.14 

.61 

2.9 

9.37 

.19 

0.09 

.01 

10.72 

.20 

40.16 

.38 

85.59 

.52 

148.76 

.61 

3.0 

9.18 

.19 

0.10 

.01 

10.93 

.20 

40.51 

.38 

86.11 

.53 

148.86 

.62 

3.1 

8.99 

.18 

0.11 

.01 

11.13 

.21 

40.92 

.39 

86.64 

.52 

148.98 

.61 

3.2 

8.81 

.19 

0.12 

.02 

11.34 

.21 

41.31 

.88 

87.16 

.52 

144.59 

.62 

3.3 

8.62 

.18 

0.14 

.01 

11.55 

.21 

41.69 

.89 

87.68 

.53 

145.21 

.61 

3.4 

8.44 

.18 

0.15 

.02 

11.76 

.22 

42.08 

.39 

88.21 

.53 

1   I.1.N-J 

.62 

3.5 

826 

.18 

017 

.02 

11.98 

.21 

42.47 

.89 

88.74 

.53 

116,11 

.62 

3.6 

8.08 

.18 

0.19 

.02 

12.19 

.22 

42.86 

.:(!» 

89.27 

.53 

147  06 

.62 

3.7 

7.90 

.17 

0.21 

.03 

12.41 

.22 

13.25 

.40 

89.80 

.58 

147.68 

.61 

3.8 

7.73 

.18 

0.24 

.02 

12.63 

.22 

43.65 

.89 

90.33 

.58 

L48.29 

.62 

3.9 

7.55 

.17 

0.26 

.03 

12.85 

.23 

44.04 

.40 

90.86 

.53 

148.91 

.62 

4.0 

7.38 

.16 

0.29 

.03 

13.08 

.22 

44.41 

.40 

91.39 

.54 

I  i!).r,:i 

.62 

4.1 

~  •••!•!       .17 

0.32 

.03 

iaao 

,23 

11,  M 

.40 

91.93 

.53 

150.15 

.62 

4.2 

7.o:.       .17 

0.35 

.04 

18.68 

,23 

45.24 

.40 

92.46 

.54 

150.77 

.62 

4.3 

li.V          .16 

0.39 

.03 

1376 

.28 

45.64 

.41 

98.00 

.54 

161.39 

.63 

4.4 

6.72 

.16 

0.42 

.04 

13.99 

£3 

46.05 

.10 

93.54 

.54 

168.02 

.62 

4.5 

6.56 

.16 

0.46 

.04 

1422 

.24 

Hi.  If. 

.41 

94.08 

.54 

I.VMII 

.62 

•».<; 

6.40 

.16 

0.60 

.04 

1  1  l>; 

.23 

46.80 

.41 

94.62 

.54 

158.26 

.68 

4.7 

6.24 

.15 

or,  i 

.05 

1469 

.'.'I 

47.27 

.41 

95.16 

.51 

158.89 

.69 

4.8 

6.09 

.16 

0  .:>!•        .04 

1493 

.24 

47.68 

.41 

96.70 

.54 

164.51 

.68 

4.9 

5.93 

.15 

(Mi:{      .0.1 

15.17 

.21 

4&09 

.41 

«)<;.•.>  i 

.55 

156.14 

.62 

5.0 

:>.7^      .15 

oils       .05 

15.41 

£6 

48.50       .41 

96.79 

.51 

155.76 

.63 

134 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  +  18".0  sin.  (*  —  «)  —  212".4  sin.  2  (x  —  t). 
Period,  411.78517  days. 


Days.           O 

1O 

2O 

30 

40 

SO 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

d. 

5.0 

ii 

5.78 

.15 

0.68 

.05 

15.41 

.25 

48.50 

.41 

96.79 

.54 

155.76 

.63 

5.1 

5.63 

.15 

0.73 

.05 

15.66 

.24 

48.91 

.42 

97.33 

.55 

156.39 

.62 

5.2 

5.48 

.14 

0.78 

.06 

15.90 

.25 

49.33 

.42 

97.88 

.55 

157.01 

.63 

5.3 

5.34 

.15 

0.84 

.05 

16.15 

.25 

49.75 

.41 

98.43 

.55 

157.64 

.63 

5.4 

5.19 

.14 

0.89 

.06 

16.40 

.25 

50.16 

.42 

98.98 

.55 

158.27 

.62 

5.5 

5.05 

.14 

0.95 

.06 

16.65 

.25 

50.58 

.43 

99.53 

.55 

158.89 

.63 

5.6 

4.91 

.14 

1.01 

.06 

16.90 

.26 

51.01 

.42 

100.08 

.55 

159.52 

.63 

5.7 

4.77 

.13 

1.07 

.07 

17.16 

.26 

51.43 

.42 

100.63 

.55 

160.15 

.63 

5.8 

4.64 

.14 

1.14 

.06 

17.42 

.25 

51.85 

.43 

101.18 

.56 

160.78 

.63 

5.9 

4.50 

.13 

1.20 

.07 

17.67 

.26 

52.28 

.43 

101.74 

.55 

161.41 

.63 

6.0 

4.37 

.13 

1.27 

.07 

17.93 

.27 

52.71 

.43 

102.29 

.56 

162.04 

.63 

6.1 

4.24 

.12 

1.34 

.07 

18.20 

.26 

53.14 

.43 

102.85 

.55 

162.67 

.63 

6.2 

4.12 

.13 

1.41 

.08 

18.46 

.27 

53.57 

.43 

103.40 

.56 

163.30 

.63 

6.3 

3.99 

.12 

1.49 

.07 

18.73 

.27 

54.00 

.43 

103.96 

.56 

16393 

.63 

6.4 

3.87 

.13 

1.56 

.08 

19.00 

.27 

54.43 

.44 

101.52 

.56 

164.56 

.63 

6.5 

3.74 

.12 

1.64 

.08 

19.27 

.27 

54.87 

.44 

105.08 

.56 

165.19 

.64 

6.6 

3.62 

.11 

1.72 

.08 

19.54 

.27 

55.31 

.43 

105.64 

.56 

165.83 

.63 

6.7 

351 

.12 

1.80 

.09 

19.81 

.27 

55.74 

.44 

106.20 

.57 

166.46 

.63 

6.8 

3.39 

.11 

1.89 

.08 

20.08 

.28 

56.18 

.45 

106.77 

.56 

167.09 

.64 

6.9 

3.28 

.12 

1.97 

.09 

20.36 

.28 

56.63 

.44 

107.33 

.56 

167.73 

.63 

7.0 

3.16 

.11 

2.06 

.09 

20.64 

.28 

57.07 

.44 

107.89 

.57 

168.36 

.64 

7.1 

3.05 

.10 

2.15 

.10 

20.92 

.28 

57.51 

.45 

108.46 

.57 

169.00 

.63 

7.2 

2.95 

.11 

2.25 

.09 

21.20 

.29 

57.96 

.44 

109.03 

.56 

169.63 

.64 

7.3 

2.84 

.10 

2.34 

.10 

21.49 

.28 

58.40 

.45 

109.59 

.57 

170.27 

.63 

7.4 

2.74 

.10 

2.44 

.09 

21.77 

.29 

58.85 

.45 

110.16 

.57 

170.90 

.64 

7.5 

2.6  i 

.10 

2.53 

.10 

22.03 

.29 

59.30 

.45 

110.73 

.57 

171.51 

.64 

7.6 

2.54 

.10 

2.63 

.11 

22.35 

.29 

59.75 

.45 

111.30 

.57 

172.18 

.63 

7.7 

2.44 

.10 

2.74 

.10 

22.64 

.29 

60.20 

.46 

111.87 

.58 

172.81 

.64 

7.8 

2.34 

.09 

2.84 

.11 

22.93 

..'50 

60.CG 

.45 

1  12.45 

.57 

173.45 

.64 

7.9 

2.25 

.10 

2.95 

.10 

23.23 

.29 

61.11 

.46 

113.02 

.57 

174.09 

.64 

8.0 

2.15 

.09 

3.05 

.11 

23.52 

.30 

61.57 

.43 

113.59 

.88 

174.73 

.63 

8.1 

2.0iJ:      .03 

3.16 

.11 

23.82 

.30 

62.03 

.46 

114  17 

.57 

175.36 

.64 

8.2 

1.98 

.09 

3.27 

.12 

24.12 

.30 

62.49 

.46 

114.74 

.58 

176.00 

.64 

8.3 

1.89 

.08 

3.39 

.11 

24.42 

.31 

6295 

.46 

115.32 

.58 

176.64 

.64 

8.4 

1.81 

.09 

3.50 

.12 

24.73 

.30 

63.41 

.47 

115.90 

.58 

177.28 

.64 

8.5 

1.72 

.08 

3.62 

.12 

25.03 

.31 

63.88 

.46 

116.48 

.58 

177.92 

.64 

8.6 

1.64 

.08 

3.74 

.12 

25.34 

.31 

64.34 

.47 

117.06 

.58 

178.56 

.64 

8.7 

1.56 

.07 

3.86 

.12 

25.65 

.31 

64.81 

.47 

117.64 

.58 

179.20 

.64 

8.8 

1.49 

.08 

3.98 

.13 

25.96 

.31 

65.28 

.47 

118.22 

.58 

179.84 

.64 

8.9 

1.41 

.07 

4.11 

.13 

26.27 

.32 

65.75 

.47 

118.80 

.58 

180.48 

.65 

9.0 

1.34 

.07 

4.24 

.13 

26.59 

.31 

66.22 

.47 

119.38 

.59 

181.13 

.64 

9.1 

1.27 

.07 

4.37 

.13 

26.90 

.32 

66.69 

.47 

119.97 

.58 

181.77 

.64 

9.2 

1.20 

.06 

4.50 

.13 

27.22 

.32 

67.16 

.48 

120.55 

.59 

182.41 

.64 

9.3 

1.14 

.07 

4.63 

.14 

27.54 

.32 

67.64 

.47 

121.14 

.59 

183.05 

.64 

9.4 

1,07 

.06 

4.77 

.13 

27.86 

.32 

68.11 

.48 

121.73 

.58 

183.69 

.65 

9.5 

1.01 

.06 

4.90 

.14 

28.18 

.33 

68.59 

.48 

122.31 

.59 

184.34 

.64 

9.6 

0.95 

.06 

5.04 

.14 

28.51 

.32 

69.07 

.48 

122.90 

.59 

184.98 

.64 

9.7 

0.89 

.05 

5.18 

.14 

28.83 

.33 

69.55 

.48 

123.49 

.59 

185.62 

.65 

9.8 

0.84 

.06 

5.32 

.15 

29.16 

.33 

70.03 

.48 

124.08 

.59 

186.27 

.64 

9.9 

0.78 

.05 

5.47 

.15 

29.49 

.33 

70.51 

.49 

124.67 

.59 

186.91 

.64 

10.0 

0.73 

.05 

5.62 

.15 

29.82 

.33 

71.00 

.48 

125.26 

.60 

187.55 

.65 

135 


TABLE  X.   ARGUMENT  5. 

Equation  =  225".300  -f  18".0  sin.  (*  —  «)  —  212".4  sin.  2  (i  —  «}. 
Period,  411.78517  days. 


Days.          6O 

ro 

80 

90 

1OO 

no 

D»ys. 

Equation. 

DilT. 

Kqtialion. 

Dilf 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

d. 

// 

// 

// 

u 

0.0 

187.55 

.65 

252.09 

.64 

312.91 

.57 

364.43 

.45 

401.  95 

.29 

422.10 

.11 

0.1 

188.20 

.64 

252.73 

.63 

313.48 

.57 

364.88 

.45 

402.24 

.29 

422.21 

.10 

0.2 

188.84 

.65 

253.36 

.64 

314.05 

.57 

365.33 

.45 

402.53 

.29 

422.31 

.10 

0.3 

189.49       .64 

354.00 

.63 

314.62 

.56 

365.78 

.45 

402.82 

.29 

422.41 

.10 

0.4 

190.13 

.65 

254.63 

.64 

315.18 

.57 

366.23 

.44 

403.  1  1 

.28 

422.51 

.10 

0.5 

190.78 

.64 

255.27 

.63 

315.75 

.57 

366.67 

.45 

403.39 

.29 

422.61 

.10 

0.6 

191.42       .65 

255.90 

.64 

316.32 

.56 

367.12 

.44 

403.68 

.28 

422.71 

'    .09 

0.7 

19-2.07       .65 

256.54 

.63 

316.88 

.56 

367.56 

.44 

403.96 

.28 

422.80 

.10 

0.8 

192.72       .64 

257.17 

.63 

317.44 

.56 

368.00 

.44 

404.24 

.28 

422.90 

.09 

0.9 

193.36 

.65 

257.80 

.64 

318.00 

.57 

368.44 

.44 

404.52 

.27 

422.99 

.09 

1.0 

194.01 

.64 

258.44 

.63 

318.57 

.56 

368.88 

.44 

404.79 

.28, 

423.08 

.08 

1.1 

194.65 

.65 

259.07 

.63 

319.13 

.55 

369.32 

.43 

405.07 

.27 

423.16 

.09 

1.2 

195.30 

.65 

259.70 

.63 

3  19.  (i8 

.56 

369.75 

.44 

405.34 

.27 

423.25 

.08 

1.3 

195.95 

.64 

260.33 

.63 

32024 

.56 

370.19 

.43 

405.61 

.27 

423.33 

.08 

1.4 

196.59 

.65 

260.96 

.63 

32080 

.56 

370.62 

.43 

405.88 

.26 

423.41 

.08 

1.5 

197.24 

.65 

261.59 

.63 

321.36 

.55 

371.05 

.43 

406.14 

.27 

423.49 

.08 

1.6 

197.89 

.64 

262.22 

.63 

321.91 

.55 

371.48 

.42 

406.41 

.26 

423.57 

.07 

1.7 

198.53 

.65 

262  85 

.63 

322.46 

.56 

371.90 

.44 

406.67 

.26 

423.64 

.08 

1.8 

199.18 

.65 

263.48 

63 

323.02 

.55 

372.34 

.42 

406.93 

.26 

423.72 

.07 

1.9 

199.83 

.65 

264.11 

.63 

323.57 

.55 

372.76 

.42 

407.19 

.26 

423.79 

.07 

2.0 

200.48 

.64 

26474 

.63 

324.12 

.55 

373.18 

.43 

407.45 

.26 

423.86 

.07 

2.1 

201.12       .65 

265.37 

.62 

32467 

.55 

373.61 

.42 

407.71 

.25 

423.93 

.06 

2.2 

201.77 

.65 

265.99 

.63 

325.22 

.55 

374.03 

.42 

407.96 

.26 

423.99 

.07 

2.3 

202.42 

.65 

266.62 

.63 

:fj:..7? 

.55 

374.45 

.41 

408.22 

.25 

424.06 

.06 

2.4 

203.07 

.64 

267.25 

.62 

326.32 

.54 

374.86 

.42 

408.47 

.25 

42412 

.06 

2.5 

203.71 

.65 

267.87 

.63 

326.86 

.55 

375.28 

.41 

408.72 

.24 

424.18 

.06 

2.6 

204.36 

.65 

268.50 

.62 

327.41 

.54 

375.69 

.42 

408.96 

.25 

424.24 

.05 

2.7 

205.01 

.65 

269.12 

.62 

327.95 

.55 

370.  1  1 

.41 

409.21 

.24 

424.29 

.06 

2.8 

205.66 

.65 

269.74 

.63 

328.50 

.54 

376.52 

.41 

409.45 

.25 

424.35 

.05 

2.9 

206.31 

.64 

270.37 

.62 

3-29.04 

.54 

376.93 

.41 

409.70 

.23 

424.40 

.05 

9.0 

200.95 

.65 

270.99 

.62 

329.58 

.54 

377.34 

.41 

409.93 

.24 

424.45 

.05 

3.1 

207.60 

.65 

271.61 

.62 

330.  12 

.54 

377.75 

.40 

410.17 

.24 

424  50 

.04 

3.2 

208.25 

.65 

272.23 

.62 

886.66 

.53 

378.15 

.41 

410.41 

.23 

424.54 

.05 

3.3 

208.90       .64 

•27-2.85 

.63 

891.19 

.54 

:n,s.r>(i 

.40 

410.64 

.24 

B4.59 

.01 

3.4 

209.54 

.65 

273.48 

.62 

.-a  1.7:1 

.53 

898.96 

.40 

410.88 

.23 

424.63 

.04 

3.5 

210.19 

.65 

274.10 

.62 

332.26 

.54 

379  :tr> 

;40 

411.11 

.23 

424.67 

.04 

3.6 

210.84 

.65 

274.72 

.61 

888.80 

.53 

:i7!).7(i 

.40 

411.34 

.22 

424.71 

.03 

3.7 

211.49 

.65 

275.33 

.62 

:t:f:{.:t:f 

.58 

380.16 

.39 

411.56 

.23 

434.74 

.01 

8-8 

212.14 

.65 

'275.!).r> 

.62 

838.86 

.53 

889.55 

.40 

411.79 

.22 

1-2I.7N 

.03 

3.9 

'21-2.79 

.65 

276.57 

.62 

334.39 

.53 

380.95 

.39 

412.01 

.22 

424.81 

.03 

4.0 

MKi  11 

.64 

277  lit 

.61 

884.93 

.M 

381.34 

.39 

412.-2:! 

.22 

1-JI.M 

.03 

4.1 

•2  11.  ()s 

.65 

•277.NO        .<;-2 

:nf>  ir. 

.53 

884  .78)      .39 

412.15       .'2'2 

4'?4.87 

03 

4/2 

•21l.7:i 

.68 

278.4-2        .61 

:u:>  !>s 

.52 

3N-2.12 

.:(;» 

412.IJ7       .-2-2 

K24.90 

.02 

4.3 

315.88 

,65 

•  <>:!       .62 

.•cit;  :>it 

.53 

:ts-j  r,  i 

.89 

412.N!)        'M 

424.92 

JOB 

t.l 

216.03 

.65 

8W.85 

.61 

88Y.08 

.52 

38290 

.39 

413.101       JS1 

424.95 

.02 

4.5 

•210.1^ 

.64 

280.20 

.62 

88V.55 

.52 

888.39 

.:(s 

413.31        .22 

424.97 

.02 

4.6 

•2i7.:i-j      .<;:> 

980.88 

.61 

888.07 

.53 

881.67 

.38 

413.53       .20 

484.99 

.01 

4.7 

•217.117      .i;r. 

281.49 

.61 

:i:ts  60 

.52 

394.05 

.88 

413.73       .21 

425.00 

.02 

L6 

81&62 

.<;:. 

•^.'10       .61 

:?:$!>.  1-2      .5-2 

38443 

..'w 

413.94        .'21 

425.02 

.01 

4.9 

219>.21 

.65 

389.71       .61 

:t:tit.(ii       .51 

884.81 

.36 

414.15       .20 

425.03 

.01 

5.0 

9IK99 

.64 

28  t  :i2       .«2 

1 

840.15 

.52 

385.19 

.37 

414.35       .20 

425.04 

.01 

136 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  -f-  18".0  sin.  (x  —  t)  —  212" A  sin.  2  (*  —  <)• 
Period,  411.78517  days. 


Days.         GO 

7O 

8O 

90 

1OO 

1IO 

Days. 

Equation. 

Diff 

Kijiiiitiim. 

Dim 

Equation. 

Diff. 

K<|ii,mi'ii 

DUE 

Equation. 

Diff. 

Equation. 

Diff. 

(1. 

5.0 

819.92 

.61 

283.32 

.62 

340.15 

.52 

385.19 

.37 

414.35 

.20 

425.04 

.01 

5.1 

220.56 

.65 

283.94 

.61 

340.67 

.52 

385.56 

.38 

414.55 

.20 

425.05 

.01 

5.2 

221.21 

.65 

284.55 

.60 

341.19 

.51 

385.94 

.37 

414.75 

.20 

425.06 

.00 

5.3 

221.86 

.65 

285.  15 

.61 

311.70 

.51 

380.31 

.37 

414.95 

.19 

425.06 

.01 

5.4 

222.51 

.65 

285.76 

.61 

342.21 

.52 

386.68 

.37 

415.14 

.20 

425.07 

.00 

5.5 

223.16 

.64 

286.37 

.61 

342.73 

.51 

387.05 

.37 

415.34 

.19 

425.07 

.00 

5.6 

223.80 

.65 

286.98 

.60 

343.24 

.50 

387.42 

.37 

41553 

.19 

425.07 

.00 

5.7 

224.45 

.65 

287.58 

.61 

343.74 

.51 

387.79 

.36 

415.72 

.19 

425.07 

.01 

5.8 

225.10       .64 

288.19 

.61 

344.25 

.51 

388.15 

.37 

415.91 

.18 

425.06 

.00 

5.9 

225.74 

.65 

288.80 

.60 

344.76 

.50 

388.52 

.35 

416.09 

.19 

425.06 

.01 

6.0 

226.39 

.65 

289.40 

.60 

345.26 

.51 

388.87 

.36 

416.28 

.18 

425.05 

.01 

6.1 

227.04 

.64 

290.00 

.60 

345.77 

.50 

389.23 

.36 

416.46 

.18 

425.04 

.02 

6.2 

227.68 

.65 

290.60 

.61 

346.27 

.50 

389.59 

.36 

416.64 

.18 

425.02 

.01 

6.3 

228.33 

.65 

291.21 

.60 

346.77 

.51 

389.95 

.35 

416.82 

.18 

42501 

.02 

6.4 

228.98 

.64 

291.81 

.60 

347.28 

.49 

390.30 

.36 

417.00 

.17 

424.99 

.01 

6.5 

229.62 

.65 

292.41 

.60 

347.77 

.50 

390.66 

.35 

417.17 

.17 

424.98 

.02 

6.6 

230.27 

.64 

293.01 

.60 

348.27 

.50 

391.01 

.35 

417.34 

.18 

424.96 

.03 

6.7 

230.91 

.65 

293.61 

.60 

348.77 

.49 

391.36 

.35 

417.52 

.16 

424.93 

.02 

6.8 

231.56 

.65 

294.21 

.59 

349.26 

.50 

391.71 

.34 

417.68 

.17 

424.91 

.03 

6.9 

232.21 

.64 

294.80 

.60 

349.76 

.49 

39205 

.35 

417.85 

.17 

424.88 

.02 

7.0 

232.85 

.64 

295.40 

.59 

350.25 

.49 

392.40 

.34 

418.02 

.16 

424.86 

.03 

7.1 

233.49 

.65 

295.99 

.60 

350.74 

.49 

392.74 

.34 

418.18 

.16 

424.83 

.04 

7.2 

234.14 

.64 

296.59 

.59 

351.23 

.49 

393.08 

.34 

418.34 

.16 

424.79 

.03 

7.3 

234.78 

.65 

297.18 

.60 

351.72 

.49 

393.42 

.34 

418.50 

.16 

424.76 

.03 

7.4 

235.43 

.64 

297.78 

.59 

352.21 

.49 

393.76 

.34 

418.66 

.16 

424.73 

.04 

7.5 

236.07 

.65 

298.37 

.59 

352.70 

.48 

394.10 

.33 

418.82 

.15 

424.69 

.04 

7.6 

236.72 

.64 

298.96 

.59 

353.18 

.49 

394.43 

.33 

418.97 

.15 

424.65 

.04 

7.7 

237.36 

.65 

299.55 

.59 

353.67 

.48 

394.76 

.34 

419.12 

.15 

424.61 

.04 

7.8 

238.01 

.64 

300.14 

.59 

354.15 

.48 

395.  10 

.33 

419.27 

.15 

424.57 

.05 

7.9 

238.65 

.64 

300.73 

.59 

354.63 

.48 

395.43 

.32 

419.42 

.15 

424.52 

.05 

8.0 

239.29 

.64 

301.32 

.59 

355.11 

.48 

395.75 

.33 

419.57 

.14 

424.47 

.05 

8.1 

239.93 

.65 

301.91 

.59 

355.59 

.48 

396.08 

.32 

419.71 

.15 

424.42 

.05 

8.2 

240.58 

.64 

302.50 

.58 

356.07 

.47 

396.40 

.32 

419.86 

.14 

424.37 

.05 

8.3 

241.22 

.64 

303.08 

.59 

356.54 

.48 

396.72 

.33 

420.00 

.14 

424.32 

.06 

8.4 

241.86 

.64 

303.67 

.58 

357.02 

.47 

397.05 

.32 

420.14 

.14 

424.26 

.05 

8.5 

242.50 

.64 

304.25 

.59 

357.49 

.48 

397.37 

.31 

420.28 

.13 

424.21 

.06 

8.6 

348.14 

.64 

304.84 

.58 

357.97 

.47 

397.68 

.32 

420,41 

.13 

424.15 

.06 

8.7 

243.78 

.65 

30542 

.58 

358.44 

.47 

398.00 

.31 

420.51 

.14 

424.09 

.07 

8.8 

244.43 

.64 

306.00 

.58 

358.91 

.46 

398.31 

.32 

420.68 

.12 

424.02 

.06 

8.9 

245.07 

.64 

306.58 

.58 

359.37 

.47 

398.63 

.31 

420.80 

.13 

423.96 

.07 

9.0 

245.71 

.64 

307.16 

.58 

359.84 

.46 

398.94 

.31 

420.93 

.13 

423.89 

.06 

9.1 

246.35 

.64 

307.741       .58 

360.30 

.47 

399.25!      .31 

421.06 

.12 

423.83 

.07 

9.2 

246.99 

.63 

308.32       .57 

360.77 

.46 

399.56       .30 

421.18 

.12 

423.76 

.08 

9.3 

247.62 

.64 

308.89       .58 

361.23 

.46 

399.86 

.31 

421.30 

.12 

423.68 

.07 

9.4 

248.26 

.64 

309.47 

.58 

361.69 

.46 

400.17 

.30 

421.42 

.12 

423.61 

.08 

9.5 

248.90 

.64 

310.05 

.57 

362.15 

.46 

400.47 

.30 

421.54 

.12 

423.53 

.07 

9.6 

249.54 

.64 

310.62:      .57 

362.61 

.46 

400.77 

.30 

421.66 

.11 

42346 

.08 

9.7 

250.18 

.64 

311.19 

.58 

363.07 

.45 

401.07 

.29 

421.77 

.11 

423.38 

.09 

9.8 

250.82 

'.63 

311.77 

.57 

363.52 

.46 

401.36 

.30 

421.88 

.11 

423.29 

.09 

9.9 

251.45 

.64 

312.31 

.57 

363.98 

.45 

401.66 

.29 

421.99 

.11 

423.21 

.09 

10.0 

252.09 

.64 

312.91 

.57 

364.43 

.45 

401.95 

.29 

422.10 

.11 

423.12 

.09 

137 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  -f  18".0  sin.  (x  —  f)  —  212" A  sin.  2  (x  —  t). 
Period,  411.78517  days. 


Days.         130 

130 

14O 

150 

ICO 

17O 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Dirr. 

d. 

0.0 

423.12 

.09 

405.06 

.27 

369.74 

.43 

320.59 

.55 

288.81 

.61 

200.53 

.61 

0.1 

423.03 

.09 

404.79 

.28 

369.31 

.43 

320.04 

.55 

261.72 

.61 

190.9$ 

.62 

0.2 

422.94 

.09 

404.51 

.27 

368.88 

.44 

319.49 

.55 

261.11 

.61 

189.30 

.61 

0.3 

422.85 

.09 

404.24 

.28 

368.44 

.43 

318.94 

.54 

260.50 

.61 

198.69 

.62 

0.4 

422.76 

.10 

403.96 

.28 

368.01 

.44 

318.40 

.55 

259.89 

.62 

198.07 

.61 

0.5 

422.66 

.09 

403.68 

.28 

367.57 

.43 

317.85 

.56 

259.27 

.61 

197.46 

.62 

0.6 

422.57 

.10 

403.40 

.28 

367.14 

.44 

317.29 

.55 

258.66 

.61 

196.84 

.61 

0.7 

422.47 

.10 

403.12 

.29 

366.70 

.44 

316.74 

.55 

258.05 

.61 

196.23 

.62 

0.8 

422.37 

.11 

402.83 

.28 

366.26 

.44 

316.19 

.55 

257.44 

.62 

195.61 

.61 

0.9 

422.26 

.10 

402.55 

.29 

365.82 

.44 

315.64 

.56 

256.82 

.61 

195.00 

.61 

1.0 

482.16 

.11 

402.26 

.29 

365.38 

.45 

315.08 

.55 

256.21 

.61 

194.39 

.62 

1.1 

422.05 

.11 

401  97 

.29 

364.93 

.41 

314.53 

.56 

255.60 

.61 

193.77 

.61 

1.2 

421.94 

.11 

401.68 

.29 

364.49 

.45 

313.97 

.56 

254.99 

.62 

193.16 

.61 

1.3 

421.83 

.11 

401.39 

.30 

364.04 

.45 

313.41 

.55 

251.37 

.61 

192.55 

.61 

1.4 

421.72 

.12 

401.09 

.29 

363.59 

.45 

312.86 

.56 

253.76 

.62 

191.94 

.61 

1.5 

421.60 

.11 

400.80 

.30 

363.14 

.45 

312.30 

.56 

253.14 

.61 

191.33 

.62 

1.6 

421.49 

.12 

400.50 

.30 

362.69 

.45 

311.74 

.56 

862.5! 

.62 

190.71 

.61 

1.7 

421.37 

.12 

400.20 

.30 

362.24 

.45 

311.18 

.56 

251.91 

.61 

190.10 

.61 

1.8 

421.25 

.12 

399.90 

.31 

361.79 

.46 

310.62 

.56 

251.30 

.62 

189.49 

.61 

1.9 

421.13 

.13 

399.59 

.30 

361.33 

.45 

310.06 

.57 

250.68 

.61 

188.88 

.61 

2.0 

421.00 

.12 

399.29 

.31 

360.88 

.46 

309.49 

.56 

250.07 

.62 

188.27 

.61 

2.1 

420.88 

.13 

398.98 

.31 

360.42 

.46 

308.93 

.56 

249.45 

.62 

187.66 

.61 

2.2 

420.75 

.13 

398.67 

.31 

359.96 

.46 

308.37 

.57 

248.83 

.61 

187.05 

.61 

2.3 

420.62 

.13 

398.36 

.31 

359.50 

.46 

307.80 

.56 

248.22 

.62 

186.41 

.61 

2.4 

420.49 

.14 

398.05 

.31 

359.04 

.46 

307.24 

.57 

247.60 

.62 

185.83 

.60 

2.5 

420.35 

.13 

397.74 

.32 

358.58 

.46 

306.67 

.57 

246.98 

.61 

185.23 

.61 

2.6 

420.22 

.14 

397.42 

.31 

358.12 

.47 

306.10 

.57 

246.37 

.62 

184.62 

.61 

2.7 

420.08 

.14 

397.11 

.32 

357.65 

.46 

305.53 

.57 

245.75 

.62 

184.01 

.61 

2.8 

419.94 

.14 

396.79 

.32 

357.19 

.47 

304.96 

.57 

245.13 

.62 

183.40 

.60 

2.9 

419.80 

.14 

396.47 

.32 

356.72 

.47 

304.39 

.57 

244.51 

.61 

182.80 

.61 

3.0 

419.66 

.15 

396.15 

.32 

356.25 

.47 

303.82 

.57 

243.90 

.62 

182.19 

.61 

3.1 

419.51 

.14 

395.83 

.33 

355.78 

.47 

303.25 

.57 

243.28 

.62 

181.58 

.60 

3.2 

419.37 

.15 

395.50 

.33 

355.31 

.47 

302.68 

.57 

242.66 

.62 

180.98 

.61 

3.3 

419.22 

.15 

395.17 

.32 

354.84 

.48 

302.11 

.58 

242.04 

.62 

180.37 

.60 

3.4 

419.07 

.16 

394.85 

.33 

354.36 

.47 

301.53 

.57 

241.42 

.62 

179.77 

.61 

3.5 

418.91 

.15 

394.52 

.33 

353.89 

.48 

300.96 

.58 

240.80 

.62 

179.16 

.60 

3.6 

418.76 

.16 

394.19 

.34 

353.41 

.47 

300.38 

.57 

240.18 

.61 

178.56 

.60 

3.7 

418.60 

.15 

393.85 

.33 

.-t.VJ.f)  I 

.48 

299.81 

.58 

239.57 

.62 

177.96 

.61 

3.8 

418.45 

.16 

393.52 

.34 

352.46 

.48 

299.23 

.58 

238.95 

.62 

177.35 

.60 

3.9 

418.29 

.17 

393.18 

.34 

351.98 

.48 

298.65 

.57 

238.33 

.62 

176.75 

.60 

4.0 

418.12 

.16 

392.84 

.34 

351.50 

.49 

298.08 

.58 

23771 

.62 

176.15 

.60 

4.1 

417.96 

.17 

.-{.'  >•_'.;->(> 

.31 

861.01 

.48 

297.50 

.58 

887.09 

.62 

17.  ->.:>:, 

.60 

4.2 

417.79 

.16 

392.16 

.31 

350.53 

.48 

296.92 

.58 

•j:u;.  17 

.69 

174.95 

.60 

4.3 

417.63 

.17 

991.83 

.34 

:!:>()  ».-> 

.49 

296.34 

.58 

•J:J.-,.N.-, 

.62 

174.38 

.60 

4.4 

417.46 

.17 

391.48 

.35 

349.56 

.49 

295.76 

.58 

235.23 

.62 

173.75 

.60 

4.5 

417.29 

.18 

391.13 

.35 

:tl!».07 

.48 

295.18 

.58 

231.61 

.62 

173.15 

.60 

4.6 

417.11 

.17 

390.78 

.:{;> 

846.69 

.49 

294.60 

.59 

233.K9 

.62 

172.55 

.60 

4.7 

416.94 

.18 

890.49 

M 

348.  10 

.49 

294.01 

.56 

•j:t:i.:(7 

.62 

171.95 

.60 

4.8 

416.76 

.18 

390.08 

.:!.-, 

3.17.6  1 

.50 

293.43 

.58 

•j:u.7.-> 

-.62 

171.35 

.60 

4.9 

41156 

.18 

880.73 

.:).-» 

347.11 

.49 

292.85 

.59 

383.13 

.62 

170.75 

.59 

5.0 

416.40 

.18 

389.38 

.36 

346.62 

.49 

292.26 

.58 

231.51 

.62 

170.16 

.60 

138 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  -f  18".0  sin.  (x  —  t)  —  212".4  sin.  2  (x  —  t). 
Period,  41 1.78517  days. 


Days.         12O 

ISO 

110 

ISO 

160 

I7O 

Days. 

Equation 

DilT 

IV[lliUU)li. 

niir. 

Equation. 

Diff. 

Etjiiaii'Hi. 

DilT. 

Equation 

Diff. 

Equation. 

Diff. 

d. 

„ 

lf 

a 

5.0 

416.40 

.18 

389.38 

.36 

346.62 

.48 

292  26 

.58 

231.51 

.62 

170.16 

.60 

5.1 

416.22 

.18 

389.02 

.35 

346.13 

.50 

291.68 

.59 

230.89 

.63 

169  50 

.59 

5.2 

416.04 

.19 

388.67 

.36 

345.63 

.49 

291.09 

.59 

230.26 

.62 

168.97 

.60 

5.3 

415.85 

.19 

388.31 

.36 

345.  14 

.50 

290.50 

.58 

229.64 

.62 

16837 

.60 

5.4 

415.66 

.19 

387.95 

.37 

344.64 

.50 

289.92 

.59 

229.02 

.62 

167.77 

.59 

5.5 

415.47 

.19 

S87.5S 

.36 

344.14 

.50 

289.33 

.59 

228.40 

.62 

167.18 

.59 

5.6 

415.28 

.19 

887.2S 

.36 

343.64 

.50 

288.74 

.59 

227.78 

.62 

166.59 

.60 

5.7 

415.09 

.20 

386.86 

.37 

343.14 

.50 

288.15 

.59 

227.16 

.62 

165.99 

.59 

5.8 

414.89 

.19 

386.49 

.37 

342.64 

.51 

287.56 

.59 

226.54 

.62 

165.40 

.59 

5.9 

414.70 

.20 

386.12 

.37 

342.13 

.50 

286.97 

.59 

225.92 

.62 

164.81 

.59 

6.0 

414.50 

.20 

385.75 

.37 

341.63 

.51 

286.38 

.59 

225.30 

.62 

164.22 

.59 

61 

414.30 

.21 

385.38 

.37 

341.12 

.50 

285.79 

.59 

224.68 

.62 

163.63 

.59 

6.2 

414.09 

.20 

385.01 

.38 

340.62 

.51 

285.20 

.60 

224.06 

.62 

163.04 

.59 

6.3 

41389 

.21 

384.63 

.37 

340.  1  1 

.51 

284.60 

.59 

223.44 

.62 

162.45 

.59 

6.4 

413.68 

.20 

384.26 

.38 

339.60 

.51 

284.01 

.59 

222.82 

.62 

161.86 

.59 

6.5 

413.48 

.21 

383.88 

.38 

339.09 

.51 

283.42 

.60 

222.20 

62 

161.27 

59 

6.6 

413.27 

.22 

383.50 

.38 

338.58 

.51 

282.82 

.59 

221.58 

.63 

160.68 

.58 

6.7 

413.05 

.21 

383.12 

.38 

338.07 

.52 

282.23 

.60 

220.5)5 

.62 

160.10 

.59 

6.8 

41284 

.21 

382.74 

.38 

337.55 

.51 

281.03 

.59 

220.33 

.62 

159.51 

.59 

6.9 

412.63 

.22 

382.36 

.39 

337.04 

.52 

281.04 

.60 

219.71 

.62 

158.92 

.58 

7.0 

412.41 

.22 

381.97 

.39 

336.52 

.51 

280.44 

.60 

219.09 

.62 

158.34 

.59 

7.1 

412.19 

.22 

381.58 

.38 

336.01 

.52 

279.84 

.59 

218.47 

.62 

157.75 

.58 

7.2 

411.97 

.22 

381.20 

.39 

335.49 

.52 

279.25 

.60 

217.85 

.62 

157.17 

.58 

7.3 

411.75 

.23 

380.81 

.39 

334.97 

.52 

278.65 

.60 

217.23 

.62 

156.59 

.59 

7.4 

411.52 

.22 

380.42 

.40 

334.45 

.52 

278.05 

.60 

216.61 

.62 

156.00 

.58 

7.5 

411.30 

.23 

380.02 

.39 

333.93 

.52 

277.45 

.60 

21599 

.62 

155.42 

.58 

7.6 

411.07 

.23 

379.63 

.39 

333.41 

.52 

276.85 

.60 

215.37 

.62 

154.84 

.58 

7.7 

410.84 

.23 

379.24 

.40 

332.89 

.53 

276.25 

.60 

214.75 

.62 

154.26 

.58 

7.8 

410.61 

.24 

378.84 

.40 

332.36 

.52 

275.65 

.60 

214.13 

.62 

153.68 

.58 

7.9 

410.37 

.23 

378.44 

.40 

331.84 

.53 

275.05 

.60 

213.51 

.62 

153.10 

.58 

8.0 

410.14 

.24 

378.04 

.40 

331.31 

.53 

274.45 

.60 

212.89 

.62 

152.52 

.58 

8.1 

409.90 

.24 

377.64 

.40 

330.78 

.52 

273.85 

.61 

212.27 

.62 

151.94 

.57 

8.2 

409.66 

.24 

377.24 

.41 

330.26 

.53 

273.24 

.60 

211.65 

.62 

151.37 

.58 

8.3 

409.42 

.24 

376.83 

.40 

329.73 

.53 

272.64 

.60 

211.03 

.62 

150.79 

.58 

8.4 

409.18 

.24 

376.43 

.41 

329.20 

.53 

272.04 

.61 

210.41 

.61 

15021 

.57 

8.5 

408.94 

.25 

376.02 

.41 

328.67 

.54 

271.43 

.60 

209.80 

.62 

149.64 

.57 

8.6 

408.69 

.25 

375.61 

.41 

328.13 

.53 

270.83 

.60 

209.18 

.62 

149.07 

.58 

8.7 

408.44 

.25 

375.20 

.41 

327.60 

.53 

270.23 

.61 

208.56 

.62 

148.49 

.57 

8.8 

408.19 

.25 

374.79       .41 

327.07 

.54 

269.62 

.61 

207.94 

.62 

147.92 

.57 

8.9 

407.94 

.25 

374.38 

.42 

326.53 

.53 

269.01 

.60 

207.32 

.62 

147.35 

.57 

9.0 

407.69 

.26 

373.96 

.42 

326.00 

.54 

268.41 

.61 

206.70 

.62 

146.78 

.58 

9.1 

407.43 

.25 

373.54!       .41 

325.46 

.54 

267.80 

.60 

206.08 

.61 

146.20 

.57 

9.2 

407.18 

.26 

373.13 

.42 

324.92 

.54 

267.20 

.61 

205.47 

.62 

145.63 

.56 

9.3 

406.92 

.26 

372.71 

.42 

324.38 

.54 

26659 

.61 

204.85 

.62 

14507 

.57 

9.4 

406.66 

.26 

372.29 

.42 

323.84 

.54 

265.98 

.61 

204.23 

.61 

144.50 

.57 

9.5 

406.40 

.27 

371.87 

.43 

323.30 

.54 

265.37 

.60 

203.62 

.62 

143.93 

.57 

9.6 

406.13 

.26 

371.41       .42 

322.76 

.54 

264.77 

.61 

203.00  !      .62 

143.36 

.56 

9.7 

405.87 

.27 

371.02       .43 

322.22 

.55 

264.16       .61 

202.38!       .61 

142.80 

.57 

9.8 

405.60 

.27 

370.59       .42 

321.67 

.54 

263.55       .61 

201.77       .62 

142.23 

.56 

9.9 

40533 

.27 

370.17       .43 

321.13 

.54 

262.94       .61 

201.15       .62 

141.67 

.56 

10.0 

405.06 

.27 

369.74  •     .43 

320.59 

.55 

262.33       .61 

200.53 

.61 

141.11 

.57 

139 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  -4-  18".0  sin.  (x  —  t)  —  212".4  sin.  2  (x  —  t). 
Period,  41 1.78517  days. 


^  Days.         18O 

190 

2OO 

21O 

22O 

230 

D«y.. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff 

Equation. 

Diff. 

Equation. 

Diff. 

I 
0.0 

141.11 

.57 

89.72 

.46 

51.31 

.31 

29.60 

.13 

26.74 

.07 

43.15 

.25 

0.1 

140.54 

.56 

89.26 

.45 

51.00 

.30 

29.47 

.12 

26.81 

.07 

43.40 

.26 

0.2 

139.98 

.56 

88.81 

.45 

50.70 

.30 

29.35 

.12 

26.88 

.08 

43.66 

.27 

0.3 

139.42 

.56 

88.36 

.45 

50.40 

.30 

29.23 

.12 

26.96 

.07 

43.93 

.26 

0.4 

138.86 

.56 

87.91 

.45 

50.10 

.30 

29.11 

.11 

27.03 

.08 

44.19 

.26 

0.5 

138.30 

.56 

87.46 

.45 

49.80 

.29 

29.00 

.12 

27.11 

.08 

44.45 

.27 

0.6 

137.74 

.56 

87.01 

.45 

49.51 

.30 

28.88 

.11 

27.19 

.08 

44.72 

.27 

0.7 

137.18 

.55 

86.56 

.45 

49.21 

.29 

28.77 

.11 

27.27 

.08 

44.99 

.27 

0.8 

136.63 

.56 

86.11 

.44 

48.92 

.29 

28.66 

.11 

27.35 

.09 

45.26 

.27 

0.9 

136.07 

.55 

85.67 

.45 

48.63 

.29 

28.55 

.11 

27.44 

.08 

45.53 

.28 

1.0 

135.52 

.56 

85.22 

.44 

48.34 

.29 

28.44 

.11 

27.52 

.09 

45.81 

.27 

1.1 

134.96 

.55 

84.78 

.44 

48.05 

.29 

28.33 

.10 

2761 

.09 

46.08 

.28 

1.2 

134.41 

.55 

8434 

.44 

47.76 

.28 

28.23 

.10 

27.70 

.10 

46.36 

.28 

1.3 

133.86 

.56 

83.90 

.44 

47.48 

.28 

28.13 

.10 

27.80 

.09 

46.64 

.28 

1.4 

133.30 

.55 

83.46 

.44 

47.20 

.28 

28.03 

.10 

27.89 

.10 

46.92 

.28 

1.5 

132.75 

.55 

83.02 

.43 

46.92 

.28 

27.93 

.09 

27.99 

.10 

47.20 

.29 

1.6 

132.20 

.55 

82.59 

.44 

46.64 

.28 

27.84 

.09 

28.09 

.10 

47.49 

.29 

1.7 

131.65 

.51 

82.15 

.43 

46.36 

.28 

27.75 

.10 

28.19 

.10 

47.78 

.28 

1.8 

131.11 

.55 

81.72 

.43 

46.08 

.27 

27.65 

.09 

28.29 

.10 

48.06 

.29 

1.9 

130.56 

.55 

81.29 

.43 

45.81 

.27 

27.56 

.08 

28.39 

.11 

48.35 

.30 

2.0 

130.01 

.54 

80.86 

.43 

45.54 

.27 

27.48 

.09 

2850 

.11 

48.65 

.29 

2.1 

129.47 

.54 

80.43 

.43 

45.27 

.27 

27.39 

.09 

28.61 

.11 

48.94 

29 

2.2 

128.93 

.55 

80.00 

.42 

45.00 

.27 

27.30 

.08 

28.72 

.11 

49.23 

.30 

2.3 

128.38 

.54 

79.58 

.43 

44.73 

.26 

27.22 

.08 

28.83 

.11 

49.53 

.30 

2.4 

127.84 

.51 

79.15 

.42 

44.47 

.27 

27.14 

.08 

28.94 

.12 

49.83 

.30 

2.5 

127.30 

.54 

78.73 

.42 

44.20 

.26 

27.06 

.07 

29.06 

.12 

50.13 

.30 

2.6 

126.76 

.54 

78.31 

.42 

43.94 

.26 

26.99 

.08 

29.18 

.12 

50.43 

.30 

2.7 

126.22 

.54 

77.89 

.42 

43.68 

.26 

26.91 

.07 

29.30 

.12 

50.73 

.31 

2.8 

125.68 

.54 

77.47 

.42 

43.42 

.25 

26.84 

.07 

29.42 

.12 

51.04 

.31 

2.9 

125.14 

.54 

77.05 

.41 

43.17 

.26 

26.77 

.06 

29.54 

.13 

51.35 

.31 

3.0 

124.60 

.53 

76.64 

.42 

42.91 

.25 

26.71 

.07 

29.67 

.12 

51.66 

.31 

3.1 

1-24.07 

.51 

76.22 

.41 

42.66 

.25 

26.64 

.07 

29.79 

.13 

51.97 

.31 

3.2 

123.53 

.53 

75.81 

.41 

42.41 

.25 

2657 

.06 

29.92 

.13 

52.28 

.32 

3.3 

123.00 

.54 

75.40 

.41 

42.16 

.25 

26.51 

.06 

30.05 

.14 

68.60 

.82 

3.4 

122.46 

.53 

74.99 

.41 

41.91 

.25 

26.45 

.06 

30.19 

.13 

52.92 

.31 

3.5 

121.93 

.53 

74.58 

.41 

41.66 

.24 

26.39 

.06 

30.32 

.14 

53.23 

.32 

3.6 

121.40 

.53 

74.17 

.40 

41.42 

.24 

36.38 

.05 

30.46 

.14 

53.r.r. 

.32 

3.7 

120.87 

.53 

73.77 

.41 

41.18 

.24 

26.28 

.05 

30.60 

.14 

r.:!.N7      .33 

3.8 

120.34 

M 

73.36 

.40 

40.94 

.24 

26.23 

.05 

30.74 

.14 

5  1.20 

.32 

3.9 

119.81 

.52 

72.96 

.40 

40.70 

.21 

26.18 

.05 

30.88 

.15 

54.52 

.33 

4.0 

119.29 

.r>:t 

72.56 

.40 

40.46 

.23 

26.13 

.05 

31.03 

.15 

54.86 

.32 

4.1 

118.76 

.52 

72.16 

.40 

40.23 

.24 

26.08 

.05 

31.18 

.15 

66.  11 

.33 

4.2 

118.24 

.5:{ 

71.76 

.40 

89.99 

.23 

26.03 

.04 

31.33 

.15 

55.50 

.33 

4.3 

117.71 

.52 

71.36 

.39 

39.76 

.22 

25.99 

.04 

31.48 

.15 

66.88 

.34 

4.4 

117.19 

.52 

70.97 

.40 

39.54 

.24 

25.95 

.04 

31.63 

.15 

56.17 

.33 

4.5 

116.67 

.52 

70.57 

.39 

39.30 

.22 

25.91 

.04 

31.78 

.16 

56.50 

.34 

4.6 

116.15 

.52 

70.  IN       .39 

39.08 

.23 

25.87 

.03 

31.94 

.16 

56.84 

.34 

4.7 

115.63 

.52 

69.79       .39 

38.85 

.22 

25.84 

.04 

3210 

.16 

57.18 

.34 

4.8 

115.11 

.52 

69.40       .39 

38.63 

.22 

25.80 

.03 

32.26 

.16 

57.52 

.34 

4.9 

114.59 

.51 

69.01        .38 

38.41 

.22 

25.77 

.03 

32.42 

.16 

57.86 

.34 

5.0 

114.08 

.52 

68.63 

.39 

38.19 

.22 

25.74 

.02 

32.58 

.16 

58.20 

.35 

140 


TABLE  X.    ARGUMENT  5. 

Equation  ==  225".300  +  18".0  sin.  (x  —  f)—  212" '.4  sin.  2  (x  —  <). 
Period,  41 1,78517  days. 


Days.         1  8O 

19O 

SCO 

21O 

220 

23O 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equal  ion. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

d. 

5.0 

114.08 

.52 

68.63 

.39 

38.19 

.22 

25.74 

.02 

32.58 

.16 

58.20 

.35 

5.1 

113.56 

.51 

68.24 

.38 

37.97 

.21 

25.72 

.03 

32.74 

.17 

58.55 

.34 

5.2 

113.05 

.52 

67.8S 

.38 

37.76 

.21 

25.69 

.02 

32.91 

.17 

58.89 

.35 

5.3 

112.53 

.51 

67.48 

.38 

37.55 

.22 

25.67 

.03 

33.08 

.17 

59.24 

.35 

5.4 

1  12.02 

.51 

67.10 

.38 

37.33 

.21 

25.64 

.02 

33.25 

.18 

59.59 

.35 

5.5 

111.51 

.51 

66.72 

.38 

37.12 

.20 

25.62 

.01 

33.43 

.17 

59.94 

.36 

5.6 

111.00 

.51 

66.34 

.37 

36.92 

.21 

25.61 

.02 

33.60 

.18 

60.30 

.35 

5.7 

110.49 

.51 

65.97 

.38 

36.71 

.20 

25.59 

.01 

33.78 

.18 

60.65 

.36 

5.8 

109.98 

.50 

65.59 

.3-7 

36.51 

.21 

25.58 

.02 

33.96 

.18 

61.01 

.36 

5.9 

109.48 

.51 

65.22 

.37 

36.30 

.20 

25.56 

.01 

34.14 

.18 

61.37 

.36 

6.0 

108.97 

.50 

64.85 

.37 

36.10 

.20 

25.55 

.01 

34.32 

.19 

61.73 

.35 

6.1 

108.47 

.51 

64.48 

.37 

35.90 

.19 

25.54 

.00 

34.51 

.18 

62.08 

.37 

6.2 

107.96 

.50 

64.11 

.37 

35.71 

.20 

25.54 

.01 

34.69 

.19 

62.45 

.36 

6.3 

107.46 

.50 

63.74 

.36 

35.51 

.19 

25.53 

.00 

34.88 

.19 

62.81 

.37 

6.4 

106.96 

.50 

63.38 

.37 

35.32 

.19 

25.53 

.00 

35.07 

.19 

63.18 

.37 

6.5 

106.46 

.50 

63.01 

.36 

35.13 

.19 

25.53 

.00 

35.26 

.20 

63.55 

.37 

6.6 

105.96 

.50 

62.65 

.36 

34.94 

.19 

25.53 

.01 

35.46 

.19 

63.92 

.37 

6.7 

105.46 

.49 

62.29 

.3(5 

34.75 

.19 

25.54 

.00 

35.65 

.20 

64.29 

.37 

6.8 

104.97 

.50 

61.93 

.35 

34.56 

.18 

25.54 

.01 

35.85 

.20 

64.66 

.38 

6.9 

104.47 

.49 

61.58 

.36 

34.38 

.18 

25.55 

.01 

36.05 

.20 

65.04 

.37 

7.0 

103.98 

.49 

61.22 

.35 

34.20 

.18 

25.56 

.01 

36.25 

.20 

65.41 

.38 

7.1 

103.49 

.50 

60.87 

.35 

34.02 

.18 

25.57 

.01 

36.45 

.21 

65.79 

.38 

7.2 

102.99 

.49 

60.52 

.36 

33.84 

.18 

25.58 

.02 

36.66 

.20 

66.17 

.38 

7.3 

102.50 

.49 

60.16 

.34 

33.66 

.17 

25.60 

.01 

36.86 

.21 

66.55 

.38 

7.4 

102.01 

.48 

59.82 

.35 

33.49 

.18 

25.61 

.02 

37.07 

.21 

66.93 

.38 

7.5 

101.53 

.49 

59.47 

.35 

33.31 

.17 

25.63 

.02 

37.28 

.22 

67.31 

.39 

7.6 

101.04 

.49 

59.12 

.34 

33.14 

.17 

25.65 

.03 

37.50 

.21 

67.70 

.39 

7.7 

100.55 

.48 

58.78 

.34 

32.97 

.16 

25.68 

.02 

37.71 

.22 

68.09 

.39 

7.8 

100.07 

.49 

58.44 

.31 

32.81 

.17 

25.70 

.03 

37.93 

.22 

68.48 

.39 

7.9 

99.58 

.48 

58.10 

.35 

32.64 

.16 

25.73 

.03 

38.15 

.22 

68.87 

.39 

8.0 

99.10 

.48 

57.75 

.33 

32.48 

.17 

25.76 

.03 

3^.37 

22 

69.26 

.39 

8.1 

98.62 

.48 

57.42 

.34 

32.31 

.16 

25.79 

.03 

3S.59 

!-22 

69.65 

.40 

8.2 

98.14 

.48 

57.08 

.33 

32.15 

.15 

25.82 

.03 

38.81 

.23 

70.05 

.39 

8.3 

97.66 

.47 

56.75 

.34 

32.00 

.16 

25.85 

.04 

39.04 

.22 

70.44 

.40 

8.4 

97.19 

.48 

56.41 

.33 

31.84 

.15 

25.89 

.04 

39.26 

.23 

70.84 

.40 

8.5 

96.71 

.47 

56.08 

.33 

31.69 

.16 

25.93 

.04 

39.49 

.23 

71.24 

.40 

8.6 

96.24 

.48 

55.75 

.33 

31.53 

.15 

25.97 

.04 

39.72 

.23 

71.64 

.40 

8.7 

95.76 

.47 

55.42 

.32 

31.38 

.15 

26.01 

.05 

39.95 

.24 

72.04 

.41 

8.8 

95.29 

.47 

55.10 

.33 

31.23 

.14 

26.06 

.04 

40.19 

.24 

72.45 

.40 

8.9 

94.82 

.47 

54.77 

.32 

31.09 

.15 

26.10 

.05 

40.43 

.24 

72.85 

.41 

9.0 

94.35 

.47 

54.45 

.32 

30.94 

.14 

26.15 

.05 

40.67 

.23 

73.26 

.41 

9.1 

93.88 

.47 

54.13 

.32 

30.80 

.14 

26.20 

.05 

40.90 

.25 

73.67 

.41 

9.2 

93.41 

.46 

53.81 

.32 

30.66 

.14 

26.25 

.06 

41.15 

.24 

74.08 

.41 

9.3 

92.95 

.47 

53.49 

.32 

30.52 

.14 

26.31 

.05 

41.39 

.25 

74.49 

.41 

9.4 

92.48 

.46 

53.17 

.31 

30.38 

.13 

26.36 

.06 

41.64 

.24 

74.90 

.42 

9.5 

92.02 

.46 

52.86 

.31 

30.25 

.14 

26.42 

.06 

41.88 

.25 

75.32 

.42 

9.6 

91.56 

.46 

52.55 

.32 

30.11 

.13 

26.48 

.06 

42.13 

.25 

75.74 

.41 

9.7 

91.10 

.46 

52.23 

.31 

29.98 

.13 

26.54 

.07 

42.38 

.26 

76.15 

.42 

9.8 

90.64 

.46 

51.92 

.30 

29.85 

.13 

26.61 

.06 

42.64 

.25 

76.57 

.42 

9.9 

90.18 

.46 

51.62 

.31 

29.72 

.12 

26.67 

.07 

42.89 

.26 

76.99 

.43 

10.0 

89.72 

.46 

51.31 

.bi 

29.60 

.13 

26.74 

.07 

43.15 

.25 

77.42 

.42 

141 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  -(-  18".0  sin.  (x  —  «)  —  212".4  sin.  2  (x 
Period,  411.78517  days. 


Days.         24O 

25O 

9GO 

aro 

28O 

990 

Dajr«. 

Equation. 

iinr. 

Equation. 

|l,  IV 

Equation. 

Diff. 

Equation. 

DiflT. 

Equation. 

ruff 

Equation. 

HUT. 

d. 

0.0 

77.4-2 

.42 

12648 

.55 

185.86 

.63 

250.12 

.65 

31334 

.61 

869.65 

.51 

0.1 

77.84 

.42 

127.03 

.55 

186.49 

.63 

250.77 

.65 

8ia95 

.60 

870.16 

.51 

0.2 

78.26 

.43 

127.58 

.55 

187.  12 

.63 

251.42 

.64 

314.55 

.61 

370.67 

.50 

0.3 

78.69 

.43 

128.13 

.56 

187.75 

.63 

252.06 

.65 

315.16 

.60 

371.17 

.51 

0.4 

79.12 

.43 

128.69 

.55 

188.38 

.63 

252.71 

.65 

315.76 

.61 

371.68 

.50 

0.5 

79.55 

.43 

129.24 

.56 

189.01 

.63 

253.36 

.65 

316.37 

.60 

372.18 

.51 

0.6 

79.98 

.43 

129.80 

.56 

189.64 

.63 

254.01 

.64 

316.97 

.60 

372.69 

.50 

0.7 

80.41 

.44 

130.36 

.55 

190.27 

.63 

254.65 

.65 

317.57 

.60 

878.19 

.50 

0.8 

80.85 

.43 

130.91 

.56 

190.90 

.63 

255.30 

.65 

318.17 

.60 

373.69 

.50 

0.9 

81.28 

.44 

131.47 

.56 

191.53 

.63 

255.95 

.64 

318.77 

.60 

374.19 

.50 

1.0 

81.72 

.44 

132.03 

.57 

192.16 

.63 

256.59 

.65 

319.37 

.60 

374.69 

.50 

1.1 

82.16 

.44 

132.60 

.56 

192.79 

.64 

257.24 

.64 

319.97 

.60 

375.19 

.49 

1.2 

82.60 

.44 

133.16 

56 

193.43 

.63 

257.88 

.65 

320.57 

.60 

375.68 

.50 

1.3 

83.04 

.44 

133.72 

.56 

194.06 

.64 

258.53 

.64 

321.17 

.60 

376.  IN 

.49 

1.4 

83.48 

.45 

134.28 

.57 

194.70 

.63 

259.17 

.65 

321.77 

.59 

376.67 

.49 

1.5 

83.93 

.44 

134.85 

.57 

195.33 

.64 

259.82 

.fit 

322.36 

.60 

377.16 

.49 

1.6 

84.37 

.45 

13542 

.56 

195.97 

.63 

260.46 

.65 

322.96 

.59 

377.65 

.49 

1.7 

84.82 

.45 

135.98 

.57 

196.60 

.64 

261.11 

.64 

323.  :'>.-> 

.60 

378.14 

,49 

1.8 

85.27 

.45 

136.55 

.57 

197.24 

.63 

261.75 

.65 

324,15 

.59 

378.63 

.49 

1.9 

85.72 

.45 

137.12 

.57 

197.87 

.64 

262.40 

.64 

:!•_'  1.7  1 

.59 

379.12 

.48 

2.0 

86.17 

.45 

137.69 

.57 

198.51 

.64 

263.04 

.65 

325.33 

.60 

379.60 

.48 

2.1 

86.62 

.46 

138.26 

.57 

199.15 

.63 

268.69 

.<;i 

326.93 

.59 

380.08 

.49 

2.2 

87.08 

.45 

138.83 

.57 

199.78 

.61 

26483 

.65 

326.52 

.59 

380.57 

.48 

2.3 

87.53 

.46 

139.40 

.58 

200.42 

.64 

264.98 

.64 

\\-i~,.  1  1 

.59 

881.05 

.IS 

2.4 

87.99 

.46 

139.98 

.57 

201.06 

.64 

265.62 

.64 

887.70 

.58 

381.53 

.48 

2.5 

88.45 

.46 

140.55 

.58 

201.70 

.64 

266.26 

.61 

328.28 

.59 

382.01 

.48 

2.6 

88.91 

.46 

141.13 

.57 

202.34 

.63 

266.90 

.65 

328.87 

.59 

882.49 

.47 

2.7 

89.37 

.46 

141.70 

.58 

202.97 

.61 

267.55 

.64 

329.46 

.59 

382.96 

.48 

2.8 

89.83 

.46 

142.28 

.58 

203.6  i 

.64 

268.19 

.64 

880.05 

.58 

3N3.4  1 

.47 

2.9 

90.29 

.47 

142.86 

.58 

204.25 

.64 

268.83 

.64 

330.63 

.58 

383.91 

.47 

3.0 

90.76 

.47 

143.44 

.58 

204  89 

.64 

269.47 

.65 

331.21 

.59 

3N  1.38 

.47 

8.1 

91.23!      .46 

144.02 

.58 

205.53 

.64 

270,12 

.64 

331.80 

.58 

384.85 

.47 

3.2 

91.69 

.47 

144.60 

.58 

206.17 

.64 

27().7(i 

.64 

332.3N 

.58 

386.32 

.47 

3.3 

92.16 

.47 

145.18 

.58 

206.81 

.65 

271.40 

.64 

332.96 

.58 

886.79 

.47 

3.4 

92.63 

.48 

145.76 

.59 

207.46 

,64 

272.01 

.(it 

:{:cf..-)i 

.58 

386.26 

.46 

3.5 

93.11 

.47 

146.35 

.58 

208.10 

.(11 

272.68 

.61 

334.12 

.58 

886.72 

.47 

3.6 

99.66 

.47 

146.93 

.69 

208.71 

.64 

278.82 

.(il 

884.70 

.68 

387.19 

M 

3.7 

91.<>:> 

.48 

147.52 

.58 

209.3s 

.(il 

278.96 

.(II 

336.28 

.58 

887.65 

.46 

3.8 

04.53 

.48 

148.10 

.59 

210.02 

.65 

274.60 

.<;.-! 

:i:i;..N(i 

.57 

3KS.  1  1 

.46 

3.9 

95.01 

.48 

148.69 

.59 

210.67 

.64 

275.23 

.64 

:t:i(i.  i:t 

.57 

388.61 

.46 

4.0 

95.49 

.48 

149.28 

.59 

211.31 

.64 

275.87 

.61 

387.00 

.68 

389.03 

.45 

4.1 

96.91 

.48 

I  I'.'.  si 

.59 

211.95 

.64 

276.51 

.64 

:m.;>N 

.r>7 

389.48 

.46 

4.2 

96.45 

.48 

150.46 

.69 

213.69 

.65 

277.15 

.64 

33H.  1  r> 

.58 

389.94 

.45 

4.3 

0&98 

.48 

151.05 

.59 

21  :{.-.>  I 

.64 

277.79 

.63 

33N.73 

.57 

890.39 

.46 

4.4 

97.41 

.49 

151.61 

.59 

219.88 

.68 

278.42 

.64 

389.30 

.57 

390.85 

.45 

4.5 

97.90 

.49 

ic&sa 

.69 

214.53 

.61 

270.06 

.64 

8W.81 

.57 

391.30 

.45 

4.6 

98.89 

.49 

L53.82 

.60 

21.Y  17 

.64 

279.70 

,68 

310  11 

,67 

891.75 

.45 

4.7 

9N.NN 

.48 

168.43 

.69 

215.81 

.(;:, 

280.33 

.(il 

841.01 

.56 

392.20 

.44 

4.8 

99.36 

.50 

164.01 

.59 

216.46 

.64 

280.97 

.<;:* 

341.57 

.57 

392.6  1 

.45 

4.9 

99.86 

.49 

154.60 

.60 

217.10 

.65 

281.60 

.(il 

312.1  1 

.56 

393.09 

.44 

5.0 

100.35 

.49 

155.20 

.60 

217.75 

.64 

•-'-•.'/.'  1 

.68 

842.70 

.57 

393.53 

.44 

142 


TABLE  X.    ARGUMENT  5. 

Equation  ==  225".300  +  18".0  sin.  (z  —  <)  —  212".4  sin.  2  (x  —  *)• 
Period,  411,78517  days. 


Days.       24O 

25O 

SCO 

27O 

380 

S9O 

Days. 

Equation. 

DifT. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

d. 

5.0 

100.35 

.49 

155.20 

.60 

217.75 

.64 

282.24 

.63 

342.70 

.57 

393.53 

.44 

5.1 

100.84 

.50 

155.80 

.59 

218.39 

.65 

282.87 

.64 

343.27 

.56 

393.97 

.44 

5.2 

101.31 

.49 

156.39 

.60 

219.0- 

.64 

283.51 

.63 

343.83 

.57 

394.41 

.44 

5.3 

101.83 

.50 

156.99 

.60 

219.68 

.65 

284.14 

.63 

344.40 

.56 

394.85 

.44 

5.4 

102.33 

.50 

157.59 

.60 

220.33 

.65 

284.77 

.64 

344.96 

.56 

395.29 

.44 

5.5 

102.83 

.50 

158.19 

.60 

220.98 

.64 

285.41 

.63 

345.52 

.56 

395.73 

.43 

5.6 

103.33 

.50 

158.79 

.60 

221.62 

.65 

286.04 

.63 

346.08 

.56 

396.16 

.44 

5.7 

103.83 

.50 

159.39 

.60 

222.27 

.64 

286.67 

.63 

346.64 

.5f 

396.60 

.43 

5.8 

104.33 

.50 

159.99 

.61 

222.91 

.65 

287.30 

.63 

347.20 

.55 

397.03 

.43 

5.9 

104.83 

.50 

160.60 

.60 

223.56 

.65 

287.93 

.63 

347.75 

.56 

397.46 

.43 

6.0 

105.33 

.51 

161.20 

.60 

224.21 

.64 

288.56 

.63 

348.31 

.55 

397.89 

.43 

6.1 

105.84 

.51 

161.80 

.61 

224.85 

.65 

289.19 

.63 

348.86 

.56 

398.32 

.42 

6.2 

106.35 

.50 

162.41 

.60 

225.50 

.65 

289.82 

.63 

349.42 

.55 

398.74 

.43 

6.3 

106.85 

.51 

163.01 

.61 

226.15 

.65 

290.45 

.63 

349.97 

.55 

399  17 

.42 

6.4 

107.36 

.51 

163.62 

.61 

226.80 

.64 

291.08 

.63 

350.52 

.55 

399.59 

.42 

6.5 

107.87 

.52 

164.23 

.61 

227.44 

.65 

291.71 

.62 

351.07 

.55 

400.01 

.42 

6.6 

108.39 

.51 

164.84 

.60 

228.09 

.65 

292.33 

.63 

351.62 

.55 

400.43 

.42 

6.7 

108.90 

.51 

165.44 

.61 

228.74 

.65 

292.96 

.63 

352.17 

.55 

400.85 

.42 

6.8 

109.41 

.52 

166.05 

.61 

229.39 

.64 

293.59 

.62 

352.72 

.55 

401.27 

.42 

6.9 

109.93 

,52 

166.66 

.61 

230.03 

.65 

294.21 

.63 

353.27 

.54 

401.69 

.41 

7.0 

110.45 

.51 

167.27 

.61 

230.68 

.65 

294.84 

.62 

353.81 

.54 

402.10 

.41 

7.1 

110.96 

.52 

167.88 

.62 

231.33 

.65 

295.46 

.63 

354.35 

.55 

402.51 

.41 

7.2 

111.48 

.52 

168.50 

.61 

231.98 

.65 

296.09 

.62 

354.90 

.54 

402.92 

.41 

7.3 

1  12.00 

.52 

169.11 

.61 

232.63 

.64 

296.71 

.62 

355.44 

.54 

403.33 

.40 

7.4 

112.52 

.53 

169.72 

.62 

233.27 

.65 

297.33 

.63 

355.98 

.54 

403.73 

.42 

7.5 

113.05 

.52 

170.31 

.61 

233.92 

.65 

297.9(5 

.62 

356.5-2 

.54 

404.15 

.40 

7.6 

113.57 

.53 

170.95 

.61 

234.57 

.65 

298.58 

.62 

357.06 

.54 

404.55       .41 

7.7 

114.10 

.52 

171.56 

.62 

235.22 

.65 

299.20 

.63 

357.60 

.53 

404.96 

.40 

7.8 

114.62 

.53 

172.18 

.62 

235.87 

.C5 

299.8.1 

.62 

358.13 

.54 

405.36 

.40 

7.9 

115.15 

.53 

172.80 

.61 

236.52 

.64 

300.45 

.62 

358.67 

.53 

405.76 

.40 

8.0 

115.68 

.53 

173.41 

.62 

237.16 

.65 

301.07 

.62 

359.20 

.61 

406.16 

.39 

8.1 

116.21 

.5J 

174.03 

.62 

237.81 

.65 

301.69 

.61 

35;,.  74 

.53 

406.55 

.40 

8.2 

116.74 

.53 

174.65 

.61 

238.46 

.65 

302.30 

.62 

360.27 

.53 

406.95 

.39 

8.3 

117.27 

.53 

175.26 

.62 

239.11 

.65 

302.92 

.62 

360.80 

.53 

407.34 

.40 

8.4 

117.80 

.54 

175.88 

.62 

239.76 

.65 

303.54 

.62 

361.33 

.53 

407.74 

.39 

8.5 

118.34 

.53 

176.50 

.62 

240.41 

.64 

304.16 

.62 

361.86 

.53 

408.13 

.39 

8.6 

118.87 

.54 

177.12 

.62 

241.05 

.65 

304.78 

.61 

362.39 

.52 

408.52       .38 

8.7 

119.41 

.53 

177.74 

.62 

241.70 

.65 

305.39 

.62 

362.91 

.53 

408.90 

.39 

8.8 

119.94 

.54 

178.36 

.63 

242.35 

.65 

306.01 

.61 

363.44 

.52 

409.29 

.38 

8.9 

120.48 

.54 

178.99 

.62 

243.00 

.65 

306.62 

.62 

363.96 

.52 

409.67 

.39 

9.0 

121.02 

.54 

179.61 

.62 

243.65 

.64 

307.24 

.61 

364.48 

.53 

410.06 

.38 

9.1 

121.56 

.54 

180.23 

.62 

244.29 

.65 

307.85 

.61 

365.01 

.52 

410.44 

.38 

9.2 

122.10 

.55 

180.85 

.63 

244.94 

.65 

308.46 

.61 

365.53 

.52 

410.82 

.38 

9.3 

122.65 

.54 

181.48 

.62 

245.59 

.65 

309.07 

.62 

366.05 

.52 

411.20 

.37 

9.4 

123.19 

.55 

182.10 

.63 

246.24 

.65 

309.69 

.61 

366.57 

.51 

411.57 

.38 

9.5 

123.74 

.54 

182.73 

.62 

246.89 

.64 

310.30 

.61 

367.08 

.52 

411.95 

.37 

9.6 

124.28 

.55 

183.35 

.63 

247.53 

.65 

310.91 

.61 

367.60 

.51 

412.32 

.37 

9.7 

124.83 

.55 

183.98 

.63 

248.18 

.65 

311.52 

.60 

368.11 

.52 

412.69 

.37 

9.8 

125.38 

.55 

184.61 

.62 

248.83 

.65 

312.12 

.61 

368.63 

.51 

413.06 

.37 

9.9 

125.93 

.55 

185.23 

.63 

249.48 

.64 

312.73 

.61 

369.14 

.51 

413.43 

.36 

10.0 

126.48 

.55 

185.86 

.63 

250.12 

.65 

313.34 

.61 

369.65 

.51 

413.79 

.37 

143 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  -4-  18".0  sin.  (x  —  t)  —  212".4  sin.  2  (x  —  /). 
Period,  411.78517  days. 


Da 

ys.       34 

>o 

31 

10 

:w 

o 

33 

(0 

:t 

0 

* 

»0 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff 

Equation. 

Diff. 

d. 

0.0 

413.79 

.37 

441.63 

.19 

450.49 

.01 

439.42 

.20 

409.31 

.39 

36-2.78 

.53 

0.1 

414.16 

.36 

441.82 

.18 

450.48 

.02 

439.22 

.22 

408.92 

.39 

362.25 

.54 

0.2 

414.52 

.37 

442.00 

.19 

450.46 

.01 

439.00 

.21 

408.53 

.39 

361.71 

.54 

0.3 

414.89 

.36 

442.  U) 

.18 

450.45 

.02 

438.79 

.22 

408.14 

.40 

361.17 

.54 

0.4 

415.25 

.35 

442.37 

.17 

450.43 

.02 

438.57 

.21 

407.74 

.39 

360.63 

.54 

0.5 

415.60 

.36 

442.54 

.18 

450.41 

.02 

438.36 

.22 

407.35 

.40 

360.09 

.54 

0.6 

415.96 

.36 

442.72 

.17 

450.39 

.03 

438.14 

.23 

106.95 

.40 

359  55 

.54 

0.7 

416.32 

.35 

442.89 

.17 

45036 

.02 

437.91 

.22 

406.55 

.40 

359.01 

.55 

0.8 

416.67 

.35 

443.06 

.16 

450.34 

.03 

437.69 

.22 

406.15 

.40 

358,16 

.51 

0.9 

417.02 

.35 

443.22 

.16 

450.31 

.03 

437.47 

.23 

405.75 

.41 

357.92 

.55 

.0 

417.37 

.35 

443.38 

.17 

450.28 

.03 

437.24 

.23 

405.34 

.40 

357.37 

.55 

.1 

417.72 

.35 

443.55 

.18 

450.25 

.04 

437.01 

.23 

404.94 

.42 

356.82 

£5 

.2 

418.07 

.34 

443.73 

.17 

450.21 

.03 

436.78 

.23 

404.52 

.40 

356.27 

.55 

.3 

418.41 

.34 

44390 

.16 

450.18 

.04 

436.55 

.24 

404.12 

.41 

355.72 

.55 

.4 

418.75 

.35 

444.06 

.16 

450.14 

.04 

436.31 

.23 

403.71 

.42 

355.17 

.55 

.5 

419.10 

.34 

444.22 

.15 

450.10 

.04 

436.08 

.21 

403.29 

.41 

354.62 

.55 

.6 

419.44 

.33 

444.37 

.16 

450.06 

.05 

435.84 

.24 

402.88 

.42 

394.07 

.56 

.7 

419.77 

.34 

444.53 

.15 

450.01 

.04 

435  60 

.24 

402.46 

.41 

353.51 

.55 

.8 

420.11 

.33 

444.68 

.15 

449.97 

.05 

435.36 

.25 

40-2.05 

.42 

35-2.96 

.56 

1.9 

420.44 

.34 

444.83 

.15 

449.92 

.05 

435.11 

.24 

401.63 

.42 

35-2.  !0 

.56 

2.0 

420.78 

.33 

444.98 

.15 

449.87 

.05 

434.87 

.25 

401.21 

.42 

351.84 

.56 

2.1 

421.11 

.33 

445.13 

.14 

449.82 

.06 

431.6-2 

.25 

400.79 

.43 

35  1  .-2S 

.56 

2.2 

421.44 

.33 

445.27 

.15 

449.76 

.05 

43437 

.25 

400.36 

.42 

350.72 

.56 

2.3 

421.77 

.32 

445.42 

.14 

449.71 

.07 

•m.l-_> 

.26 

399.91 

.43 

350.16 

.56 

2.4 

4-2-2.09 

..33 

445.56 

.14 

419.64 

.05 

433.86 

.25 

399.51 

.43 

349.60 

.56 

2.5 

422.42 

.32 

445.70 

.13 

449.59 

.06 

433.61 

.26 

399.08 

.43 

349.01 

.57 

2.6 

4-2-2.7  1 

.32 

445.83 

.14 

449.53 

.07 

438.35 

.26 

39N.65 

.43 

348.47 

.57 

2.7 

4-23.06 

.3-2 

445.97 

.13 

44946 

.06 

I'M  0!) 

.26 

398.22 

.43 

347.90 

.56 

2.8 

423.38 

.3-2 

llli.K) 

.13 

110.10 

.07 

432.83 

.26 

397.7!) 

.44 

347.34 

.57 

2.9 

423.70 

.31 

446.23 

.13 

4  19.33 

.06 

43-2.57 

.27 

397.35 

.43 

346.77 

.57 

3.0 

424.01 

.32 

446.36 

.13 

449.26 

.07 

n&so 

.26 

396.92 

.44 

346.20 

.56 

3.1 

184.83 

.31 

416.1!) 

.13 

449.19 

.08 

43-2.01 

.27 

396.48 

.44 

315.64 

.58 

3.2 

•1-2  1.61 

.31 

446.62 

.12 

449.11 

.07 

431.77 

.27 

396.04 

.44 

345.06 

.57 

:t.3 

4-21.95 

.31 

446.74 

.12 

II1KII 

.08 

131.60 

.27 

395.60 

.44 

311.19 

.58 

3.4 

425.26 

.31 

446.86 

.12 

148.98 

.08 

431.23 

.28 

395.16 

.45 

343.91 

.57 

3.5 

425.57 

.30 

446.98 

.12 

IIS.SS 

.09 

430,!ir> 

.27 

391.71 

.44 

313.:«l 

.58 

3.6 

i-j:>.s7 

.30 

447.10 

.11 

lls.  7!i 

.08 

430.CS 

.28 

394.27 

.45 

31-2.76 

.57 

3.7 

486.11 

.31 

447.21 

.13 

149.71 

.0!) 

430.10 

.38 

393.82 

.45 

31-2.1!) 

.58 

3.8 

I'Jli.  Is 

.30 

447.33 

.11 

i  18.6-2 

.08 

430.13 

.28 

393.37 

.45 

341.61 

.f>8 

:{.!» 

426.78 

.29 

447.44 

.11 

I  is  r,  i 

.09 

4S&84 

.28 

392.92 

.45 

841.03 

.58 

4.0 

1-27.07 

.30 

447.55 

.10 

4  18.45 

.10 

429.56 

.29 

•83.47 

.45 

840.48 

.58 

4.1 

•1-27.37 

£0 

447.63 

.11 

I  |s.:t;, 

.09 

42!).-27 

.28 

39-2.0-2 

.46 

339.N7 

.58 

4.2 

4-27.67 

.-2(t 

447.76 

.10 

1  IH.-JI; 

.10 

ia8.9a 

.'2!) 

391.56 

.45 

339.29 

.59 

1.3 

•1-27.  96 

.-2!) 

147.86 

.11 

lis.it; 

.10 

4-28.70 

.39 

391.11 

.46 

338.70 

.68 

4.4 

|-.'s.-.>:, 

39 

447.97 

.10 

448.06 

.10 

428.41 

.30 

3ilO.<;5 

.46 

338.1-2 

.59 

4.5 

428.51 

.29 

14*07 

.09 

447.96 

.10 

IMS.  I  I 

.29 

390.19 

.46 

337.53 

.58 

4.6 

128.83 

.28 

UN.  Hi 

.10 

1  17  M; 

.10 

1-27.W2 

..-to 

:isii.7:{ 

.46 

3:i6.!)5 

.59 

4.7 

I-.VI.  II 

.29 

448.26 

.00 

11771! 

.11 

427.52 

.29 

889.21 

.47 

336.36 

.59 

4.8 

189.40 

.28 

I  is.:!.-, 

.10 

4  17.65 

.11 

427.23 

.:to 

:;sss!i 

.46 

335.77 

.59 

4.9 

l-.'D.IJs 

.28 

us.  ir, 

.09 

417.51 

.11 

126.93 

.81 

3ss.3  i 

.47 

335.18 

.59 

5.0 

4-2!).!l6 

.28 

i  is.:>  l 

.09 

117.13 

.11 

tai.63 

.:{() 

:(s7>7 

.47 

331.5!) 

.58 

144 


TABLE  X.    ARGUMENT  5. 


Equation  =  2J25".300  +  18".0  sin.  (x  —  t)  —  212".4  sin.  2  (x  —  t). 
Period,  411.78517  days. 


Days.        3OO 

3IO 

32O 

3.10 

34O 

35O 

Days. 

Equation. 

Diff. 

Equation. 

DilT. 

Equation. 

Diff. 

Equation. 

Biff. 

Equation. 

Diff. 

Equal  ion. 

Diff. 

(1. 

5.0 

4S&96 

.28 

448.54 

.09 

447.43 

.11 

426.62 

.30 

387.87 

.47 

334.59 

.58 

5.1 

430.24 

.28 

448.63        .08 

447.32 

.11 

426.32 

.30 

387.40 

.46 

334.01 

.60 

5.2 

430.52 

.27 

448.71 

.09 

447.21 

.12 

426.02 

.31 

386.94 

.48 

333.41 

.59 

5.3 

430.79 

.27 

448.80 

.08 

447.09 

.12 

425.71 

.31 

386.46 

.47 

332.82 

.59 

5.4 

431.06 

.27 

448.88 

.08 

446.97 

.12 

425.40 

.31 

385.99 

.47 

332.23 

.60 

5.5 

431.33 

.27 

448.96 

.07 

446.85 

.12 

425.09 

.31 

385.52 

.48 

331.63 

.59 

5.6 

431.60 

.27 

449.03 

.08 

446.73 

.12 

424.78 

.32 

385.04 

.47 

331.04 

.60 

5.7 

431.87 

.27 

419.11 

.07 

446.61 

.13 

424.46 

.31 

384.57 

.48 

330.44 

.60 

5.8 

488.14 

.26 

449.18 

.08 

446.48 

.13 

424.15 

.32 

384.09 

.48 

329.84 

.60 

5.9 

432.40 

.26 

449.26 

.07 

446.35 

.13 

423.83 

.32 

383.61 

.48 

32924 

.60 

6.0 

432.66 

.26 

449.33 

.07 

446.22 

.12 

423.51 

.32 

383.13 

.48 

32864 

.60 

6.1 

432.92 

.26 

449.40 

.06 

446.10 

.14 

423.19 

.32 

382.65 

.49 

328.04 

.60 

6.2 

433.18 

.26 

449.46 

.07 

445.96 

.13 

422.87 

.33 

382.16 

.48 

327.44 

.60 

6.3 

433.44 

.26 

449.53 

.06 

445.83 

.14 

422.54 

.32 

381.68 

.49 

326.84 

.61 

6.4 

433.70 

.25 

449.59 

.06 

445.69 

.14 

422.22 

.33 

381.19 

.49 

326.23 

.60 

6.5 

433.95 

.25 

449.65 

.06 

445.55 

.14 

421.89 

.33 

380.70 

.49 

325.63 

.60 

6.6 

434.20 

.25 

449.71 

.05 

445.41 

.15 

421.56 

.33 

380.21 

.49 

325.03 

.61 

6.7 

434.45 

.25 

449.76 

.06 

445.26 

.14 

421.23 

.34 

379.72 

.49 

324.42 

.61 

6.8 

434.70 

.24 

449.82 

.05 

445.12 

.15 

420.89 

.33 

379.23 

.49 

323.81 

.61 

6.9 

434.94 

.25 

449.87 

.05 

444.97 

.15 

420.56 

.34 

378.74 

.49 

323.20 

.60 

7.0 

435.19 

.24 

449.92 

.05 

444.82 

.15 

420.22 

.34 

378.25 

.50 

32260 

.61 

7.1 

435.43 

.24 

449.97 

.04 

444.67 

.16 

419.88 

.34 

377.75 

.50 

321.99 

.61 

7.2 

435.67 

.24 

450.01 

.05 

444.51 

.15 

419.54 

.34 

377.25 

.50 

321.38 

.62 

7.3 

435.91 

.23 

450.06 

.04 

444.36 

.16 

419.20 

.34 

376.75 

.50 

320.76 

.61 

7.4 

436.14 

.24 

450.10 

.04 

444.20 

.16 

418.86 

.35 

376.25 

.50 

320.15 

.61 

7.5 

436.38 

.23 

450.14 

.04 

444.04 

.16 

418.51 

.35 

375.75 

.50 

319.54 

.61 

7.6 

436.61 

.23 

450.18 

.03 

443.88 

.16 

418.16 

.35 

375.25 

.51 

318.93 

.62 

7.7 

436.84 

.23 

450.21 

.04 

443.72 

.17 

417.81 

.35 

374.74 

.50 

318.31 

.62 

7.8 

437.07 

.23 

450.25 

_    .03 

443.55 

.17 

417.46 

.35 

374.24 

.51 

317.69 

.61 

7.9 

437.30 

.22 

450.28 

.03 

443.38 

.17 

417.11 

.35 

373.73 

.51 

317.08 

.62 

8.0 

447.52 

.23 

450.31 

•  .03 

443.21 

.16 

416.76 

.36 

373.22 

.51 

316.46 

.62 

8.1 

437.75 

.22 

450.34 

.02 

443.05 

.18 

416.40 

.36 

372.71 

.51 

31584 

.62 

8.2 

437.97 

.22 

450.36 

.03 

442.87 

.17 

416.04 

.36 

372.20 

.51 

315.22 

.61 

8.3 

438.19 

.22 

450.39 

.02 

442.70 

.18 

415.68 

.36 

371.69 

.52 

314.61 

.63 

8.4 

438.41 

.21 

450.41 

.02 

442.52 

.18 

415.32 

.36 

371.17 

.51 

313.98 

.62 

8.5 

438.62 

.22 

450.43 

.02 

442.34 

.18 

414.96 

.37 

370.66 

.52 

313.36 

.62 

8.6 

438.84 

.21 

450.45 

.01 

442.16 

.18 

414.59 

.36 

370.14 

.52 

312.74 

.62 

8.7 

439.05 

.21 

450.46 

.02 

441.98 

.19 

414.23 

.37 

369.62 

.52 

312.12 

.63 

8.8 

439.26 

.21 

450.48 

.01 

441.79 

.18 

413.86 

.37 

369.10 

.52 

311.49 

.62 

8.9 

439.47 

.20 

450.49 

.01 

441.61 

.19 

413.49 

.37 

368.58 

.52 

310.87 

.63 

9.0 

43967 

.21 

450.50 

.01 

441.42 

.19 

413.12 

.38 

368.06 

.52 

310.24 

.62 

9.1 

439.88 

.20 

450.51 

.00 

441.23 

.20 

412.74 

.37 

367.54 

.52 

309.62       .63 

9.2 

440.08        .20 

450.51 

.01 

441.03 

.19 

412.37|      .38 

367.02 

.53 

308.99 

.62 

9.3 

440.28        .20 

450.52 

.00 

440.84 

.20 

411.99;      .37 

366.49 

.53 

308.37 

.63 

9.4 

440.48 

.20 

450.52 

.00 

410.64 

.20 

411.62 

.38 

365.96 

.52 

307.74 

.63 

9.5 

440.68 

.19 

450.52 

.00 

440.44 

.20 

411.24 

.39 

365.44 

.53 

307.11 

.63 

9.6 

440.87 

.20 

450.52        .01 

440.24 

.20 

410.85 

.38 

364.91       .53 

306.48 

.63 

9.7 

441.07 

.19 

450.51        .00 

440.04 

.20 

410.47 

.38 

364.38 

.53 

305.85 

.63 

9.8 

441.26 

.19 

450.51 

.01 

439.81 

.21 

410.09 

.39 

363.85 

.54 

305.22 

.64 

9.9 

441.45 

.18 

450.50 

.01 

439.63 

.21 

409.70 

.39 

363.31 

.53 

304.58 

.63 

10.0 

441.63 

.19 

450.49       .01 

439.42       .20 

409.31 

.39 

362.78       .53 

303.95 

.63 

115 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  -4-  18".0  sin.  (x  —  t)  —  212".4  sin.  2  (*  —  f) 
Period,  411.78517  days. 


Days.          36O 

370 

«so 

39O 

40O 

410 

4*2O 

Days. 

Equation. 

Din: 

Equation. 

Diff. 

Equation 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

d. 

0.0 

303.95 

.63 

238.08 

.68 

171.06 

.66 

108.90 

.58 

57.16 

.45 

20.44 

.28 

i'.97 

.09 

0.1 

303.32 

.63 

237.40 

.67 

170.40 

.65 

108.32 

.57 

56.71 

.45 

20.16 

.28 

1.88 

.08 

0.2 

302.69 

.64 

236.73 

.68 

169.75 

.66 

107.75 

.57 

56.26 

.44 

19.88 

.27 

1.80 

.09 

0.3 

302.05 

.64 

236.05 

.67 

169.09 

.65 

107.18 

.57 

55.82 

.45 

19.61 

.28 

1.71 

.08 

0.4 

301.41 

.63 

235.38 

.68 

168.44 

.65 

106.61 

.58 

55.37 

.44 

19.33 

.27 

1.63 

.08 

0.5 

300.78 

.64 

234.70 

.67 

167.79 

.66 

106.03 

.58 

54.93 

.44 

19.06 

.27 

1.55 

.07 

0.6 

300.14 

.64 

234.03 

.68 

167.13 

.65 

105.45 

.57 

54.49 

.44 

18.79 

.27 

1.48 

.08 

0.7 

299.50 

.63 

233.35 

.67 

166.48 

.65 

104.88 

.56 

54.05 

.44 

18.52 

.26 

1.40 

.07 

0.8 

298.87 

.64 

232.68 

.68 

165.83 

.65 

104.32 

.57 

53.61 

.43 

18.26 

.27 

1.33 

.07 

0.9 

298.23 

.64 

232.00 

.67 

165.18 

.65 

103.75 

.57 

53.18 

.44 

17.99 

.26 

1.26 

.07 

1.0 

297.59 

.64 

231.33 

.68 

164.53 

.65 

103.18 

.57 

52.74 

.43 

17.73 

.26 

1.19 

.06 

1.1 

296.95 

.64 

230.65 

.67 

163.88 

.65 

102.61 

.56 

52.31 

.43 

17.47 

.26 

1.13 

.07 

1.2 

296.31 

.64 

229.98 

.68 

163.23 

.65 

102.05 

.57 

51.88 

.43 

17.21 

.26 

1.06 

.06 

1.3 

295.67 

.65 

229.30 

.67 

162.58 

.65 

101.48 

.56 

51.45 

.42 

16.95 

.25 

1.00 

.06 

1.4 

295.02 

.64 

228.63 

.68 

161.93 

.65 

100.92 

.56 

51.03 

.43 

16.70 

.26 

0.94 

.06 

1.5 

294.38 

.64 

227.95 

.67 

161.28 

.65 

100.36 

.57 

50.60 

.42 

16.44 

.25 

0.88 

.05 

1.6 

293.74 

..65 

227.28 

.68 

160.63 

.64 

99.79 

.56 

50.18 

.43 

16.19 

.25 

0.83 

.06 

1.7 

293.09 

.64 

226.60 

.68 

159.99 

.65 

99.23 

.55 

49.75 

.42 

15.94 

.25 

0.77 

.05 

1.8 

292.45 

.65 

225.92 

.67 

159.34 

.64 

98.68 

.56 

49.33 

,1-2 

15.69 

.24 

0.72 

.05 

1.9 

291.80 

.64 

225.25 

.68 

158.70 

.65 

98.12 

.56 

48.91 

.42 

15.45 

.25 

0.67 

.05 

2.0 

291.16 

.65 

224.57 

.67 

158.05 

.64 

97.56 

.55 

48.49 

.42 

15.20 

.24 

0.62 

.04 

2.1 

290.51 

.65 

223.90 

.68 

157.41 

.65 

97.01 

.56 

48.07 

.41 

14.96 

.24 

0.58 

.05 

2.2 

289.86 

.64 

223.22 

.67 

156.76 

.64 

96.45 

.55 

47.66 

.41 

14.72 

.24 

0.53 

.04 

2.3 

28!).22 

.65 

222.55 

.68 

156.12 

.64 

95.90 

.55 

47.25 

.42 

14.48 

.23 

0.49 

.04 

2.4 

288.57 

.65 

221.87 

.68 

155.48 

.65 

95.35 

.56 

46.83 

.41 

14.25 

.23 

0.45 

.04 

2.5 

287.92 

.65 

221.19 

.67 

154.83 

.64 

94.79 

.55 

46.42 

.41 

14.02 

.23 

0.41 

.03 

2.6 

287.27 

.65 

220.52 

.68 

164.19 

.64 

94.24 

.54 

46.01 

.41 

13.79 

.23 

0.38 

.04 

2.7 

286.62 

.65 

219.84 

.67 

153.55 

.63 

93.70 

.55 

45.60 

.40 

13.56 

.23 

0.84 

.02 

2.8 

285.97 

.65 

219.17 

.68 

152.92 

.64 

93.15 

.55 

45.20 

.41 

13.33 

.23 

O.f3 

.03 

2.9 

285.32 

.65 

218.49 

.67 

152.28 

.64 

92.60 

.54 

44.79 

.40 

13.10 

.22 

O.S9 

.03 

3.0 

284.67 

.65 

217.82 

.68 

151.64 

.63 

92.06 

.55 

44.39 

.40 

12.88 

.23 

0.2JS 

.02 

3.1 

284.02 

.65 

217.14 

.67 

151.01 

.64 

91.51 

.51 

43.99 

.40 

12.65 

.22 

0.24 

.03 

3.2 

^s:t.37 

.66 

216.47 

.68 

150.37 

.64 

90.97 

.51 

43.59 

.40 

12.43 

.22 

0.21 

.02 

3.3 

288.71 

.65 

215.79 

.67 

149.73 

.64 

90.43 

.54 

43.19 

.40 

12.21 

.21 

0.19 

.02 

3.4 

282.06 

.66 

215.12 

.67 

149.09 

.63 

89.89 

.54 

42.79 

.39 

12.00 

.22 

0.17 

.02 

3.5 

281.40 

.65 

214.45 

.68 

148.46 

.64 

89.35 

J4 

42.40 

.39 

11.78 

.22 

0.15 

.01 

3.6 

280.75 

.66 

213.77 

.68 

147.82 

.63 

HN.S  1 

.18 

42.01 

.39 

11.56 

.21 

0.14 

.02 

3.7 

280.09 

.65 

213.09 

.67 

147.19 

.63 

88.28 

.54 

41.62 

.88 

11.35 

.21 

0.13 

.01 

3.8 

279.44 

.66 

212.42 

.67 

146.56 

.64 

87.74 

.53 

41.23 

.39 

11.14 

.20 

0.11 

.01 

3.9 

278.78 

.65 

211.75 

.68 

145.92 

.63 

87.21 

.54 

40.84 

.39 

10.94 

.21 

.0.10 

.01 

4.0 

278.13 

.66 

211.07 

.67 

145.29 

.63 

86.67 

.53 

40.45 

.38 

10.73 

.20 

0.09 

.00 

4.1 

277.47 

.66 

210.40 

.68 

144.66 

.63 

86.14 

.53 

40.07 

.88 

10.53 

.20 

0.09 

.01 

4.2 

276.81 

.66 

209.72 

.67 

144.03 

.63 

K5.li  1 

,M 

39.68 

.88 

10.33 

.20 

0.08 

.00 

4.3 

276.15 

.65 

209.05 

.67 

143.40 

.63 

85.08 

M 

39.30 

.88 

10.13 

.20 

0.08 

.00 

4.4 

275.50 

.66 

208.38 

.68 

142.77 

.63 

84.55 

.53 

38.92 

.38 

9.93 

.20 

0.08 

.00 

4.5 

274.84 

.66 

207.70 

.07 

142.14 

.62 

84.02 

.52 

38.54 

.37 

9.73 

.19 

0.08 

.01 

4.6 

874.18 

.66 

207.03 

.(is 

141.52 

.63 

83.iV)      .:>•_> 

38.17 

.Us 

9.54 

.20 

0.09 

.00 

4.7 

273.52 

.66 

906.35 

.67 

140.89 

.63 

>V!.!»S      M 

87.78 

.37 

9.31 

.19 

0.09 

.01 

4.8 

27-'.N(i 

.66 

205.<;,s     .67 

140.26 

m 

B9.46 

.68 

37  1-' 

.37 

9.15 

.19 

0.10 

.01 

4.9 

2-2.20 

.66 

205.01     .67 

1159.61 

.63 

81.93 

.69 

37.05 

.37 

H.!)(i 

.18 

0.11 

.01 

5.0 

271.54 

.66 

204.34     .68 

139.01 

.62 

81.41 

.51 

86.68 

M 

8.78 

.19 

0.12 

.02 

1  Hi 


TABLE  X.    ARGUMENT  5. 

Equation  =  225".300  +  1«".0  sin.  (x  —  t)  —  212" A  sin.  2  (x  —  t). 
Period,  41 1.78517  days. 


Days.           3GO 

370 

»8O 

390 

100 

410 

430 

Days. 

Equation. 

DilT. 

Equation. 

Diff. 

Equation 

Diff. 

Equation. 

Diff. 

Equation. 

Diff 

Equation 

Diff. 

Equation. 

Ditr. 

d. 

a 

g 

ii 

5.0 

271.54 

.66 

204.34 

.68 

139.01 

.62 

81.41 

.51 

36.68 

.36 

8.78 

.19 

6.12 

.02 

5.1 

270.88 

.67 

203.66 

.67 

138.39 

.62 

80.90 

.52 

36.32 

.37 

8.59 

.18 

0.14 

.01 

5.2 

270.21 

.66 

202.99 

.67 

137.77 

.62 

80.38 

.52 

35.95 

.36 

8.41 

.18 

0.15 

.02 

5.3 

269.55 

.66 

202.32 

.67 

137.15 

.63 

79.86 

.51 

35.59 

.36 

8.23 

.18 

0.17 

.02 

5.4 

268.89 

.66 

201.65 

.68 

136.52 

.62 

79.35 

.52 

35.23 

.36 

8.05 

.18 

0.19 

.02 

5.5 

268.23 

.67 

200.97 

.67 

135.90 

.62 

78.P3 

.51 

34.87 

.36 

7.87 

.17 

0.21 

.03 

5.6 

267.56 

.66 

200.30 

.67 

135.28 

.62 

78.32 

.51 

34.51 

.36 

7.70 

.18 

0.24 

.02 

5.7 

266.90 

.67 

199.63 

.67 

134.66 

.61 

77.81 

.51 

34.15 

.36 

7.52 

.17 

0.26 

.03 

5.8 

266.23 

.66 

198.96 

.67 

134.05 

.62 

77.30 

.51 

33.79 

.35 

7.35 

.16 

0.29 

.03 

5.9 

265.57 

.67 

198.29 

.67 

133.43 

.62 

76.79 

.51 

33.44 

.35 

7.19 

.16 

0.32 

.04 

6.0 

264.90 

.66 

197.62 

.67 

132.81 

.61 

76.28 

.50 

33.09 

.35 

7.03 

.17 

0.36 

.04 

6.1 

264.24 

.67 

196.95 

.67 

132.20 

.62 

75.78 

.51 

32.74 

.35 

6.86 

.16 

0.40 

.03 

6.2 

263.57 

.67 

196.28 

.67 

131.58 

.61 

75.27 

.50 

32.39 

.35 

6.70 

.16 

0.43 

.04 

6.3 

262.90 

.66 

195.61 

.67 

130.97 

.61 

74.77 

.50 

32.04 

.35 

6.54 

.16 

0.47 

.04 

6.4 

262.24 

.67 

194.94 

.67 

130.36 

.62 

74.27 

.50 

31.69 

.34 

6.38 

.16 

0.51 

.04 

6.5 

261.57 

.67 

194.27 

.67 

129.74 

.61 

73.77 

.50 

31.35 

.34 

6.22 

.15 

0.55 

.05 

6.6 

260.90 

.66 

193.60 

.67 

129.13 

.61 

73.27 

.49 

31.01 

.34 

6.07 

.16 

0.60 

.04 

6.7 

260.24 

.67 

192.93 

.67 

128.52 

.61 

72.78 

.50 

30.67 

.34 

5.91 

.15 

0.64 

.05 

6.8 

259.57 

.67 

192.26 

.66 

127.91 

.61 

72.28 

.49 

30.33 

.34 

5.76 

.15 

0.69 

.05 

6.9 

258.90 

.66 

191.60 

.67 

127.30 

.60 

71.79 

.49 

29.99 

.33 

5.61 

.15 

0.74 

.05 

7.0 

258.24 

.67 

190.93 

.67 

126.70 

.61 

71.30 

.50 

29.66 

.34 

5.46 

.14 

0.79 

.06 

7.1 

257.57 

.67 

190.26 

.66 

126.09 

.61 

70.80 

.49 

29.32 

.33 

5.32 

.15 

0.85 

.05 

7.2 

256.90 

.67 

189.60 

.67 

125.48 

.60 

70.31 

.49 

28.99 

.33 

5.17 

.14 

0.90 

.06 

7.3 

256.23 

.67 

188.93 

.67 

124.88 

.61 

69.82 

.48 

28.66 

.33 

5.03 

.14 

0.96 

.06 

7.4 

255.56 

.67 

188.26 

.67 

124.27 

.60 

69.34 

.49 

28.33 

.32 

4.89 

.14 

1.02 

.06 

7.5 

254.89 

.67 

187.59 

.66 

123.67 

.60 

68.85 

.48 

28.01 

.33 

4.75 

.13 

1.08 

.07 

7.6 

254.22 

.67 

186.93 

.67 

123.07 

.60 

68.37 

.49 

27.68 

.32 

4.62 

.14 

1.15 

.06 

7.7 

253.55 

.67 

186.26 

.66 

122.47 

.60 

67.88 

.48 

27.36 

.32 

4.48 

.13 

1.21 

.07 

7.8 

252.88 

.67 

185.60 

.67 

121.87 

.60 

67.40 

.48 

27.04 

.32 

4.35 

.13 

1.28 

.07 

7.9 

252.21 

.67 

184.93 

.67 

121.27 

.60 

66.92 

.48 

26.72 

.32 

4.22 

.12 

1.35 

.07 

8.0 

251.54 

.67 

184.26 

.66 

120.67 

.60 

66.44 

.48 

26.40 

.31 

4.10 

.13 

1.42 

.08 

8.1 

250.87 

.67 

183.60 

.66 

120.07 

.60 

65.96 

.47 

26.09 

.32 

3.97 

.12 

1.50 

.07 

8.2 

250.20 

.67 

182.94 

.67 

119.47 

.60 

65.49 

.48 

25.77 

.31 

3.85 

.13 

1.57 

.08 

8.3 

249.53 

.68 

182.27 

.66 

118.87 

.60 

65.01 

.47 

25.46 

.31 

3.72 

.12 

1.65 

.08 

8.4 

248.85 

.67 

181.61 

.66 

118.28 

.59 

64.54 

.48 

25.15 

.31 

3.60 

.11 

1.73 

.08 

8.5 

248.18 

.67 

180.95 

.66 

117.69 

.59 

64.06 

.47 

24.84 

.30 

3.49 

.12 

1.81 

.09 

8.6 

247.51 

.67 

180.29 

.67 

117.10 

.60 

63.59 

.46 

24.54 

.30 

3.37 

.11 

1.90 

.08 

8.7 

246.84 

.68 

179.62 

.66 

116.50 

.59 

63.13 

.47 

2424 

.30 

3.26 

.12 

1.98 

.09 

8.8 

246.16 

.67 

178.96 

.66 

115.91 

.59 

62.66 

.47 

23.94 

.31 

3.14 

.11 

2.07 

.09 

8.9 

245.49 

.67 

178.30 

.66 

115.32 

.58 

62.19 

.46 

23.63 

.30 

3.03 

.10 

2.16 

.'10 

9.0 

244.82 

.67 

177.64 

.66 

114.74 

.59 

61.73- 

.47 

23.33 

.29 

2.93 

.10 

2.26 

.09 

9.1 

244.15 

.68 

176.98 

.66 

114.15 

.59 

61.26 

.46 

23.04 

.30 

2.83 

.10 

2.35 

.10 

9.2 

243  47 

.67 

176.32 

.66 

113.56 

.59 

60.80 

.46 

22.74 

.29 

2.73 

.10 

2.45 

.09 

9.3 

242.80 

.68 

175.66 

.66 

112.97 

.58 

60.34 

.46 

22.45 

.30 

2.63 

.10 

2.54 

.10 

9.4 

242.12 

.67 

175.00 

.65 

112.39 

.58 

59.88 

.46 

22.15 

.29 

2.53 

.10 

2.64 

.11 

9.5 

241.45 

.67 

174.35 

.66 

111.81 

.59 

59.42 

.45 

21.86 

.29 

2.43 

.10 

2.75 

.10 

9.6 

240.78 

.68 

173.69 

.66 

111.22 

.58 

58.97 

.46 

21.57 

.28 

2.33 

.09 

2.85 

.11 

9.7 

240.10 

.67 

173.03 

.66 

110.64 

.58 

58.51 

.45 

21.29 

.29 

2.24 

.10 

2.96 

.10 

9.8 

239.43 

.68 

172.37 

.65 

110.06 

.58 

58.06 

.45 

21.00 

.28 

2.14 

.09 

3.06 

.11 

9.9 

238.75 

.67 

171.721    .66 

109.48 

.58 

57.61 

.45 

20.72 

.28 

2.05 

.08 

3.17 

.11 

10.0 

238.08 

.68 

171.06     .66 

108.90 

.58 

57.16 

.45 

20.44 

.28 

1.97 

.09 

3.28 

.12 

147 


TABLE  XI.    ARGUMENT  6. 

Equation  =  206".9  [1  +  sin.  (2«  —  z  —  *)]. 
Period,  34.846892  days. 


Days.            O 

1 

» 

3 

4 

.»         Days. 

DarlmaU 

of  a  Day. 

K  (ll.ltliMl. 

iinr 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

K<|il:il  n>ii. 

Diff. 

Kr  m;i!> 
n|  a  Dav. 

.00 

1.12 

.04 

6.61 

.03 

6.77 

.10 

19".45 

.16 

38.18 

.22 

62.40 

.27 

1.00 

.01 

1.08 

.04 

0.64 

.03 

6.87 

.09 

19.61 

.16 

38.40 

.21 

62.67 

.26 

.99 

.02 

1.04 

.04 

0.67 

.03 

6.96 

.10 

19.77 

.16 

38.61 

.22 

62.93 

an 

.98 

.03 

1.00 

.04 

0.70 

.03 

7.06 

.09 

19.93 

.16 

38.83 

.22 

63.20 

.27 

.97 

.04 

0.96 

.04 

0.73 

.03 

7.15 

.10 

20.09 

.16 

39.05 

.22 

63.47 

.27 

.96 

.05 

0.92 

.04 

0.76 

.03 

7.25 

.10 

20.25 

.16 

39.27 

.22 

63.74 

.27 

.95 

.06 

0.88 

.03 

0.79 

.04 

7.35 

.10 

20.41 

.16 

39.49 

.22 

64.01 

.27 

.94 

.07 

0.85 

.03 

0.83 

.03 

7.45 

.10 

20.57 

.16 

39.71 

.22 

64.28 

.27 

.93 

.08 

0.82 

.03 

0.86 

.03 

7.55 

.10 

20.73 

.16 

39.93 

.22 

64.55 

.27 

.92 

.09 

0.79 

.03 

0.89 

.04 

7.65 

.10 

20.89 

.16 

40.15 

.22 

64.82 

.27 

.91 

.10 

0.76 

.03 

0.93 

.03 

7.75 

.10 

21.05 

.16 

40:37 

.22 

65.09 

.27 

.90 

.11 

0.73 

.03 

0.96 

.04 

7.85 

.10 

21.21 

.16 

40.59 

.22 

65.36 

.27 

.89 

.12 

0.70 

.03 

1.00 

.03 

7.95 

.10 

21.37 

.17 

40.81 

.23 

65.63 

.27 

.88 

.13 

0.67 

.03 

1.03 

.04 

8.05 

.11 

21.54 

.16 

41.04 

.22 

65.90 

.28 

.87 

.14 

0.64 

.03 

1.07 

.04 

8.16 

.10 

21.70 

.16 

41.26 

.22 

66.18 

.27 

.86 

.15 

0.61 

.03 

1.11 

.04 

8.26 

.11 

21.86 

.17 

41.48 

.23 

66.45 

.27 

.85 

.16 

0.58 

.03 

1.15 

.04 

8.37 

.10 

22.03 

.17 

41.71 

.22 

66.72 

.28 

.84 

.17 

0.55 

.03 

1.19 

.04 

8.47 

.11 

22.20 

.17 

41.93 

.23 

67.00 

.27 

.83 

.18 

0.52 

.02 

1.23 

.04 

8.58 

.11 

22.37 

.17 

42.16 

.22 

67.27 

.28 

.82 

.19 

0.50 

.03 

1.27 

.04 

8.69 

.11 

22.54 

.17 

42.38 

.23 

67.55 

.28 

.81 

.20 

0.47 

.02 

1.31 

.04 

8.80 

.11 

22.71 

.17 

42.61 

.23 

67.83 

.27 

.80 

.21 

0.45 

.03 

1.35 

.04 

8.91 

.11 

22.88 

.17 

42.84 

.22 

68.10 

.28 

.79 

.22 

0.42 

.02 

1.39 

.04 

9.02 

.11 

23.05 

.17 

43.06 

.23 

68.38 

.2N 

.78 

.23 

0.40 

.03 

1.43 

.05 

9.13 

.11 

23.22 

.17 

43.29 

.23 

68.66 

.27 

.77 

.24 

0.37 

.02 

1.48 

.04 

9.24 

.11 

23.39 

.17 

43.52 

.23 

68.93 

.28 

.76 

.25 

0.35 

.02 

1.52 

.05 

9.35 

.11 

23.56 

.18 

43.75 

.23 

69.21 

.28 

.75 

.26 

0.33 

.02 

1.57 

.04 

9.46 

.11 

23.74 

.17 

43.98 

.23 

69.49 

.28 

.74 

.27 

0.31 

.02 

1.61 

.05 

9.57 

.12 

23.91 

.18 

44.21 

.23 

69.77 

.28 

.73 

.28 

0.29 

.02 

1.66 

.05 

9.69 

.11 

24.09 

.17 

44.44 

.23 

70.05 

.28 

.72 

.29 

0.27 

.02 

1.71 

.05 

9.80 

.11 

24.26 

.18 

44.67 

.23 

70.33 

.28 

.71 

.30 

0.25 

.02 

1.76 

.05 

9.91 

.12 

24.44 

.18 

44.90 

.23 

70.61 

.28 

.70 

.31 

0.23 

.02 

1.81 

.05 

10.03 

.11 

24.62 

.17 

45.13 

.24 

70.89 

.28 

.69 

.32 

0.21 

.02 

1.86 

.05 

10.14 

.12 

24.79 

.18 

45.37 

.23 

71.17 

.28 

.68 

.33 

0.19 

.01 

1.91 

.05 

10.26 

.11 

24.97 

.18 

45.60 

.24 

71.45 

.28 

.67 

.34 

0.18 

.02 

1.96 

.05 

10.37 

.12 

25.15 

.18 

45.84 

.23 

71.73 

.29 

.66 

.35 

0.16 

.01 

2.01 

.06 

10.49 

.12 

25.33 

.18 

46.07 

.24 

72.02 

.28 

.65 

.36 

0.15 

.02 

2.07 

.05 

10.61 

.11 

25.51 

.18 

46.31 

.23 

72.30 

.28 

.64 

.37 

0.13 

.01 

2.12 

.05 

10.72 

.12 

25.69 

.18 

46.54 

.24 

72.58 

.29 

.63 

.38 

0.12 

.01 

2.17 

.06 

10.84 

.12 

25.87 

.18 

46.78 

.23 

72.87 

.28 

.62 

.39 

0.11 

.01 

2.23 

.05 

10.96 

.12 

26.05 

.18 

47.01 

.24 

73.15 

.29 

.61 

.40 

0.10 

.01 

2.28 

.06 

11.08 

.12 

26.23 

.18 

47.25 

.24 

73.44 

.29 

.60 

.41 

0.09 

.01 

2.34 

.05 

11.20 

.12 

26.41 

.18 

47.49 

.24 

73.73 

as 

.59 

.42 

0.08 

.01 

2.39 

.06 

11.32 

.12 

26.59 

.19 

47.73 

.24 

74.01 

.29 

.58 

.43 

0.07 

.01 

2.45 

.06 

11.44 

.12 

26.78 

.18 

47.97 

.24 

74.30 

.29 

.57 

.44 

0.06 

.01 

2.51 

.05 

11.56 

.12 

26.96 

.19 

48.21 

.24 

74.59 

.28 

.56 

.45 

0.05 

.01 

2.56 

.06 

11.68 

.13 

27.15 

.18 

48.45 

.24 

74.87 

.29 

.55 

.46 

0.04 

.01 

2.62 

.06 

11.81 

.12 

27.33 

.19 

48.69 

.24 

75.16 

.29 

.54 

.47 

0.03     .00 

2.68 

.06 

11.98 

.13 

27.52 

.19 

48.93 

.24 

75.45 

.29 

.53 

.48 

0.03      .01 

2.74 

,06 

12.06 

.12 

27.71 

.19 

49.17 

.24 

75.71 

.29 

.52 

.49 

0.02      .00 

2.80 

.06 

12.18 

.18 

27.90 

.19 

49.41 

.24 

76.03 

.29 

.51 

.50 

0.02      .01 

2.86 

.06 

12.31 

.13 

28.09 

.19 

49.65 

.24 

76.32 

.29 

.50 

Days.           35 

34 

33 

39 

31 

3O       Days. 

118 


TABLE  XI.    ARGUMENT  6. 

Equation  =  206".9  [1  +  sin.  (2*  —  z  —  c)]. 
Period,  34.846892  days. 


Days.             O 

1 

2 

3 

4 

5        Days. 

IVvim  il- 
of  a  Day 

Equation. 

imr. 

Equation. 

Dilf. 

Equation. 

DilT. 

Equation. 

Diff. 

Equation. 

Diff. 

KiliitUiuii. 

Diff. 

Decimals 
if  a  liny. 

.50 

0.02 

.01 

2.86 

.06 

12.31 

.13 

28.09 

.19 

49.65 

.24 

76.32 

.29 

.50 

.51 

0.01 

.00 

2.92 

.06 

12.44 

.13 

28.28 

.19 

49.89 

.24 

76.61 

.29 

.49 

.52 

0.01 

.00 

2.98 

.06 

12.57 

.13 

28.47 

.19 

50.13 

.25 

76.90 

.29 

.48 

.53 

0.01 

.01 

3.04 

.07 

12.70 

.13 

28.66 

.19 

50.38 

.24 

77.19 

.29 

.47 

.54 

0.00 

.00 

3.11 

.06 

12.83 

.13 

28.85 

.19 

50.62 

.25 

77.48 

.29 

.46 

.55 

0.00 

.00 

3.17 

.07 

12.96 

.13 

29.04 

.19 

50.87 

.24 

77.77 

.30 

.45 

.56 

0.00 

.00 

3.24 

.06 

13.09 

.13 

29.23 

.19 

51.11 

.25 

78.07 

.29 

.44 

.57 

0.00 

.00 

3.30 

.07 

13.22 

.13 

29.42 

.19 

51.36 

.24 

78.36 

.29 

.43 

.58 

0.00 

.00 

3.37 

.07 

13.35 

.13 

29.61 

.20 

51.60 

.25 

78.65 

.30 

.42 

.59 

0.00 

.00 

3.44 

.07 

13.48 

.13 

29.81 

.19 

51.85 

.25 

78.95 

.29 

.41 

.60 

0.00 

.00 

3.51 

.07 

13.61 

.14 

30.00 

.19 

52.10 

.25 

79.24 

.29 

.40 

.61 

0.00 

.00 

3.58 

.07 

13.75 

.13 

30.19 

.19 

52.35 

.25 

79.53 

.30 

.39 

.62 

0.00 

.01 

3.65 

.07 

13.88 

.14 

30.38 

.20 

52.60 

.25 

79.83 

.29 

.38 

.63 

0.01 

.00 

3.72 

.07 

14.02 

.13 

30.58 

.19 

52.85 

.25 

80.12 

.29 

.37 

.64 

0.01 

.00 

3.79 

.07 

14.15 

.14 

30.77 

.20 

53.10 

.25 

80.41 

.30 

.36 

.65 

0.01 

.01 

3.86 

.07 

14.29 

.14 

30.97 

.19 

53.35 

.25 

80.71 

.29 

.35 

.66 

0.02 

.00 

3.93 

.08 

14.43 

.13 

31.16 

.20 

53.60 

.25 

81.00 

.30 

.34 

.67 

0.02 

.01 

4.01 

.07 

14.56 

.14 

31.36 

.20 

53.85 

.25 

81.30 

.29 

.33 

.68 

0.03 

.01 

4.08 

.07 

14.70 

.14 

31.56 

.20 

54.10 

.25 

81.59 

.30 

.32 

.69 

0.04 

.01 

4.15 

.08 

14.84 

.14 

31.76 

.20 

54.35 

.25 

81.89 

.30 

.31 

.70 

0.05 

.01 

4.23 

.09 

14.98 

.14 

31.96 

.20 

55.60 

.25 

82.19 

.30 

.30 

.71 

0.06 

.01 

4.31 

.07 

15.12 

.14 

32.16 

.20 

54.85 

.25 

82.49 

.29 

.29 

.72 

0.07 

.01 

4.38 

.08 

15.26 

.14 

32.36 

.20 

55.10 

.26 

82.78 

.30 

.28 

.73 

0.08 

.01 

4.46 

.07 

15.40 

.14 

32.56 

.20 

55.36 

.25 

83.08 

.30 

.27 

.74 

0.09 

.01 

4.53 

.08 

15.54 

.15 

32.76 

.20 

55.61 

.26 

83.38 

.30 

.26 

.75 

0.10 

.01 

4.61 

.08 

15.69 

.14 

32.96 

.20 

55.87 

.25 

83.68 

.30 

.25 

.76 

0.11 

.01 

4.69 

.08 

15.83 

.15 

33.16 

.21 

56.12 

.26 

83.98 

.80 

.24 

.77 

0.12 

.02 

4.77 

.08 

15.98 

.14 

33.37 

.20 

56.38 

.25 

84.28 

.30 

.23 

.78 

0.14 

.01 

4.85 

.08 

16.12 

.15 

33.57 

.20 

56.63 

.26 

84.58 

.30 

.22 

.79 

0.15 

.02 

4.93 

.03 

16.27 

.15 

33.77 

.21 

56.89 

.26 

84.88 

.30 

.21 

.80 

0.17 

.01 

5.01 

.08 

16.42 

.15 

33.98 

.20 

57.15 

.26 

85.18 

.30 

.20 

.81 

0.18 

.02 

5.09 

.08 

16.57 

.14 

34.18 

.21 

57.41 

.26 

85.48 

.30 

.19 

.82 

0.20 

.01 

5.17 

.08 

16.71 

.15 

34.39 

.21 

57.67 

.lw  ) 

85.78 

.30 

.18 

.83 

0.21 

.02 

5.25 

.08 

16.86 

.15 

34.60 

.20 

57.93 

.26 

86.08 

.31 

.17 

.84 

0.23 

.02 

5.33 

.09 

17.01 

.15 

34.80 

.21 

58.19 

.26 

86.39 

.30 

.16 

.85 

0.25 

.02 

5.42 

.08 

17.16 

.15 

35.01 

.21 

58.45 

.26 

86.69 

.30 

.15 

.86 

0.27 

.02 

5.50 

.09 

17.31 

.15 

35.22 

.20 

58.71 

.26 

86.99 

.31 

.14 

.87 

0.29 

.02 

5.59 

.09 

17.46 

.15 

35.42 

.21 

58.97 

.26 

87.30 

.30 

.13 

.88 

0.31 

.02 

5.68 

.09 

17.61 

.15 

35.63 

.21 

59.23 

.26 

87.60 

.31 

.12 

.89 

0.33 

.02 

5.77 

.09 

17.76 

.15 

35.84 

.21 

59.49 

.26 

87.91 

.31 

.11 

.90 

0.35 

.02 

5.86 

.09 

17.91 

.15 

36.05 

.21 

59.75 

.26 

88.22 

.31 

.10 

.91 

0.37 

.02 

5.95 

.09 

18.06 

.15 

36.26 

.21 

60.01 

.26 

88.53 

.30 

.09 

.92 

0.39 

.02 

6.04 

.09 

18.21 

.15 

36.47 

.21 

60.27 

.27 

88.83 

.31 

.08 

.93 

0.41 

.03 

6.13 

.09 

18.36 

.15 

36.68 

.21 

60.54 

.26 

89.14 

.31 

.07 

.94 

0.44 

.02 

6.22 

.09 

18.51 

.16 

36.89 

.22 

60.80 

.27 

89.45 

.31 

.06 

.95 

0.46 

.03 

6.31 

.09 

18.67 

.15 

37.11 

.21 

61.07 

.26 

89.76 

.30 

.05 

.96 

0.49 

.03 

6.40 

.09 

18.82 

.16 

37.32 

.21 

61.33 

.27 

90.06 

.31 

.04 

.97 

0.52 

.03 

6.49 

.09 

18.98 

.15 

37.53 

.22 

61.60 

.26 

90.37 

.31 

.03 

.98 

0.55 

.03 

6.58 

.10 

19.13 

.16 

37.75 

.21 

61.86 

.27 

90.68 

.31 

.02 

.99 

0.58 

.03 

6.68 

.09 

19.29 

.16 

37.96 

.22 

62.13 

.27 

90.99 

.31 

.01 

1.00 

0.61J     .03 

6.77 

.10 

19.45 

.16 

38.18 

.22 

62.40 

.27 

91.30 

.31 

.00 

Days.          35 

34 

33 

32 

31 

3O       Days. 

149 


TABLE  XI.    ARGUMENT  6. 

Equation  =  206".9  [1  +  sin.  (2<  —  z  —  x}}. 
Period,  34.846892  days. 


Days.              6 

r 

8 

9 

10 

1  1        Days. 

DorimiU.1 

•!  1    I'l. 

Et|Udiiun. 

Diff. 

KqililU'hl. 

Diff. 

Equation. 

Diff. 

K  [11  il  mil. 

Diff. 

K  |ii  n  i»n. 

Diff 

Equation. 

ota 

ItecinuU 

>t  .1    1  I.H 

.00 

91.30 

.31 

123.94 

.34 

159.28 

.36 

196.14 

.37 

233.37 

.37 

269".75 

.36 

1.00 

.01 

91.61 

.31 

124.28 

.34 

159.64 

.36 

196.51 

.37 

233.74 

.37 

270.11 

.36 

.99 

.02 

91.18 

.31 

124.62 

.34 

160.00 

.37 

196.88 

.38 

234.11 

.37 

270.  1? 

.35 

.98 

.03 

92.98 

.31 

124.96 

.35 

160.37 

.36 

197.26 

.37 

234.48 

.37 

270.82 

.36 

.97 

.04 

92.54 

.31 

125.31 

.34 

160.73 

.36 

197.63 

.37 

234.85 

.37 

271.18 

.35 

.96 

.05 

92.85 

.31 

125.65 

.34 

161.09 

.37 

198.00 

.38 

235.22 

.37 

271.53 

.36 

.95 

.06 

93.16 

.31 

125.99 

.35 

161.46 

.36 

198.38 

.37 

235.59 

.37 

271.89 

.35 

.94 

.07 

93.47 

.32 

126.34 

.34 

161.82 

.36 

198.75 

.37 

235.96 

.37 

272.24 

.86 

.93 

.08 

93.79 

.31 

126.68 

.34 

162.18 

.37 

199.12 

.38 

236.33 

.37 

272.59 

.35 

.92 

.09 

94.10 

.31 

127.02 

.35 

162.55 

.36 

199.50 

.37 

236.70 

.37 

'272.94 

.35 

.91 

.10 

94.41 

.31 

127.37 

.34 

162.91 

.36 

199.87 

.37 

237.07 

.37 

273.29 

.35 

.90 

.11 

94.72 

.32 

127.71 

.35 

163.27 

.37 

200.24 

.37 

237.44 

.37 

273.64 

.36 

.89 

.12 

95.04 

.31 

128.06 

.34 

163.64 

.36 

200.61 

.38 

237.81 

.37 

274.00 

.35 

.88 

.13 

95.35 

.31 

128.40 

.35 

164.00 

.36 

200.99 

.37 

288.18 

.37 

274.35 

.35 

.87 

.14 

95.66 

.32 

128.75 

.35 

164.36 

.37 

201.36 

.37 

238.55 

.37 

274.70 

.35 

.86 

.15 

95.98 

.31 

129.10 

.34 

164.73 

.36 

201.73 

.38 

238.92 

.37 

275.05 

.35 

.85 

.16 

96.29 

.32 

129.44 

.35 

165.09 

.37 

202.11 

.37 

239.29 

.36 

275.40 

.35 

.84 

.17 

96.61 

.31 

129.79 

.35 

165.46 

.36 

202.48 

.37 

239.65 

.37 

275.75 

.36 

.83 

.18 

96.92 

.32 

130.14 

.34 

165.82 

.37 

202.85 

.38 

240.02 

.37 

276.11 

.35 

.82 

.19 

97.24 

.32 

130.48 

.35 

166.19 

.37 

203.23 

.37 

240.39 

.37 

276.46 

.35 

.HI 

.20 

97.56 

.32 

130.83 

.35 

166.56 

.36 

203.60 

.37 

240.76 

.37 

276.81 

.35 

.80 

.21 

97.88 

.31 

131.18 

.34 

166.92 

.37 

203.97 

J7 

241.13 

.36 

277.16 

.35 

.79 

.22 

98.19 

.32 

131.52 

.35 

167.29 

.37 

201.34 

.38 

241.49 

.37 

277.51 

.35 

.78 

.23 

98.51 

JB 

131.87 

.35 

167.66 

.36 

304.78 

37 

2  1  1  ,s(i 

.37 

277.86 

.35 

.77 

.24 

98.83 

.32 

132.22 

.34 

168.02 

.37 

205.09 

.37 

242.23 

.37 

278.21 

.35 

.76 

.25 

99.15 

.31 

132.56 

.35 

168.39 

.37 

205.46 

.38 

242.60 

.37 

278.56 

.35 

.75 

.26 

99.46 

.32 

182.81 

.35 

168.76 

.36 

205/84 

.37 

2  1-,'.!I7 

.36 

278.91 

.35 

.74 

.27 

99.78 

.32 

133.26 

.35 

169.12 

.37 

206.21 

.37 

2  13.33 

.37 

279.26 

.35 

.7.'} 

.28 

100.10 

.32 

133.8] 

.35 

169.49 

.37 

206.58 

.38 

213.70 

.37 

279.61 

.35 

.72 

.29 

100.42 

.32 

133.96 

.35 

169.86 

.36 

206.96 

.37 

244.07 

.36 

279.96 

.35 

.71 

.30 

100.74 

.32 

134.31 

.35 

170.22 

.37 

207.33 

.37 

244.43 

.37 

280.ai 

.35 

.70 

.31 

101.06 

.32 

134.66 

.35 

170.59 

.37 

207.70 

.37 

244.80 

.37 

280.66 

.35 

.69 

.32 

101.38 

.32 

135.01 

.35 

170.96 

.:jfi 

208.07 

.38 

245.17 

.:«; 

281.01 

.35 

.68 

.33 

101.70 

Ja 

135.36 

.35 

171.32 

.37 

208.45 

.37 

245.53 

.37 

281.36 

.35 

.67 

.34 

102.02 

.32 

135.71 

.35 

171.69 

.37 

208.82 

.87 

245.90 

.36 

281.71 

.34 

.66 

.35 

102.34 

.33 

136.06 

.35 

172.06 

.37 

209.19 

.38 

246.26 

.37 

282.05 

.35 

.65 

.36 

10267 

.32 

136.41 

.35 

172.43 

.36 

209.57 

.37 

246.63 

.36 

282.40 

.35 

.64 

.37 

102.99 

.32 

136.76 

.35 

172.79 

.87 

209.94 

.37 

246.99 

.37 

282.75 

.36 

.68 

.38 

103.31 

ja 

137.11 

M 

178.16 

.37 

210.31 

M 

217.36 

.86 

288.10 

.31 

jfiS 

.39 

103.64 

.32 

137.46 

.35 

173.53 

.37 

210.69 

.37 

247.79 

.37 

283.44 

.35 

.61 

.40 

ID8J6 

.32 

137.81 

M 

173.90 

.37 

211.06 

.37 

248.09 

.36 

288.79 

.35 

.60 

.41 

104.88 

J8 

138.16 

.35 

174.27 

.37 

211.43 

.88 

248.46 

.37 

284.14 

.31 

.59 

M 

10l.fi! 

.32 

138.51 

.35 

174.64 

.86 

211.81 

.37 

2  IN.N2 

.86 

284.48 

.86 

.58 

.43 

104.98 

M 

138.86 

M 

175.00 

.87 

212.18 

.87 

249.18 

.37 

284.88 

.86 

.57 

.11 

105.26 

ja 

139.21 

.36 

175.37 

.37 

212.55 

.38 

•2  I!  1.55 

.36 

285.18 

.34 

.56 

.45 

106.M 

.98 

13957 

JB 

175.74 

.:n 

212.93 

.37 

249.91 

.37 

285.52 

.35 

.55 

.46 

10591 

.:t:i 

139.99 

M 

176.11 

J7 

213.30      .37 

250.28 

.86 

285.87 

.34 

.51 

.47 

io<;  -.-  1 

.32 

140.27 

.35 

176.48 

.37 

213.li7      .:is 

25o.<;  i 

.37 

286.21 

.86 

.53 

.48 

KM;  .-,fi     .33 

140.62 

.86 

176.96 

.37 

214.05      .37 

251.01 

.3(i 

286.56 

.31 

.52 

.49 

Ktii.sii      .33 

140.98 

M 

177.99 

XI 

214.42      .37 

2)51.87 

.37 

286.90 

.34 

.51 

.50 

107.2.'     .32 

141.33 

M 

177.59 

.37 

214.79      .37 

251.74 

.36 

287.24 

.34 

.50 

Days.          89 

38 

97 

96 

93 

94       Days. 

150 


TABLE  XI.    ARGUMENT  6, 

Equation  =  206".9  [1  4-  sin.  (2«  —  z  —  *)]. 
Period,  84.846892  days. 


Days.             6 

7 

8 

9 

1O 

1  1       Days. 

toctmali 

>f  a  U<iy 

Equal  ion. 

Biff 

Equation. 

Diff. 

Equation. 

l>iff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

)ecimal.s 
if  a  Day 

_ 

it 

.50 

107.22 

.32 

141.33 

.35 

177.59 

.37 

214.79 

.37 

251.74 

.36 

287.24 

.34 

.50 

.51 

107.  5  1 

.33 

141.68 

.36 

177.96 

.37 

215.16 

.38 

252.10 

.37 

287.58 

.35 

.49 

.52 

107.87 

.33 

142.04 

.35 

178.33 

.37 

215.54 

.37 

252.47 

.36 

287.93 

.34 

.48 

.53 

108.20 

.32 

142.39 

,35 

178.70 

.37 

215.91 

.37 

252.83 

.36 

288.27 

.34 

.47 

.54 

108.52 

.33 

142.74 

.36 

179.07 

.37 

216.28 

.38 

253.19 

.37 

288.61 

.34 

.46 

.55 

108.85 

.33 

143.10 

.35 

179.44 

.37 

216.66 

.37 

253.56 

.36 

288.95 

.34 

.45 

.56 

109.18 

.33 

143.45 

.36 

179.81 

.37 

217.03 

.37 

253.92 

.36 

289.29 

.35 

.44 

.57 

109.51 

.33 

1  13.8  1 

.35 

180.18 

.37 

217.40 

.38 

254.28 

.36 

289.64 

.34 

.43 

.58 

109.81 

.33 

114.16 

.36 

180.55 

.37 

217.78 

.37 

254.64 

.37 

289.98 

.34 

.42 

.59 

110.17 

.33 

144.52 

.36 

180.92 

.37 

218.15 

.37 

255.01 

.36 

290.32 

.34 

.41 

.60 

110.50 

.33 

144.88 

.35 

181.29 

.37 

218.52 

.37 

255.37 

.36 

290.66 

.34 

.40 

.61 

110.83 

.33 

145.23 

.36 

181.66 

.37 

218.89 

.38 

255.73 

.37 

291.00 

.34 

.39 

.62 

111.16 

.33 

145.59 

.36 

182.03 

.37 

219.27 

.37 

256.10 

.36 

291.34 

.34 

.38 

.63 

111.49 

.33 

145.95 

.35 

182.40 

.37 

219.64 

.37 

256.  16 

.36 

291.68 

.34 

.37 

.64 

111.82 

.33 

146.30 

.36 

182.77 

.37 

220.01 

.37 

256.82 

.36 

292.02 

.34 

.36 

.65 

112.15 

.33 

146.66 

.36 

183.14 

.37 

220.38 

.37 

257.18 

.37 

292.36 

.34 

.35 

.66 

112.48 

.34 

147.02 

.35 

183.51 

.37 

220.75 

.38 

257.55 

.36 

292.70 

.34 

.34 

.67 

112.82 

.33 

147.37 

.36 

183.88 

.37 

221.13 

.37 

257.91 

.36 

293.04 

.34 

.33 

.68 

113.15 

.33 

147.73 

.36 

184.25 

.37 

221.50 

.37 

258.27 

.36 

293.38 

.34 

.32 

.69 

113.48 

.33 

148.09 

.36 

184.62 

.37 

221.87 

.37 

258.63 

.36 

293.72 

.34 

.31 

.70 

113.81 

.34 

148.45 

4s 

181.99 

.37 

22224 

.37 

2,18.99 

.36 

294.06 

.34 

.30 

.71 

114.15 

.33 

148.81 

.35 

185.36 

.37 

222.61 

.38 

259.35 

.36 

294.40 

.34 

.29 

.72 

114.48 

.33 

149.16 

.36 

185.73 

.37 

222.99 

.37 

259.71 

.36 

294.74 

.33 

.28 

.73 

114.81 

.34 

149.52 

.36 

186.10 

.37 

223.36 

.37 

260.07 

.36 

295.07 

.34 

.27 

.74 

115.15 

.33 

149.88 

.36 

186.47 

.37 

223.73 

.37 

260.43 

.36 

295.41 

.34 

.26 

.75 

115.48 

.34 

150.24 

.36 

186.84 

.38 

224.10 

.37 

260.79 

.36 

295.75 

.34 

.25 

.76 

115.82 

.33 

.   150.60 

.35 

187.22 

.37 

224,47 

.38 

261.15 

.36 

2  j  6.09 

.aj 

.24 

.77 

116.15 

.34 

15096 

.36 

187.59 

.37 

224.85 

.37 

261.51 

.36 

296.42 

.34 

.23 

.78 

116.49 

.33 

151.32 

.36 

187.96 

.37 

225.22 

.37 

261.87 

.36 

296.76 

.34 

.22 

.79 

116.82 

.34 

151.68 

.31 

188.33 

.37 

225.59 

.37 

262.23 

.36 

297.10 

.33 

.21 

.80 

117.16 

.34 

152.04 

.36 

188.70 

.37 

225.96 

.37 

262.59 

.36 

297.43 

.34 

.20 

.81 

117.50 

.33 

152.40 

.36 

189.07 

.37 

226.33 

.37 

2<i2.95 

.?.<> 

297.77 

.34 

.19 

.82 

117.83      .84 

152.76,     .30 

189.44 

.38 

226.70 

.37 

263.31 

.33 

298.11 

.33 

.18 

.83 

118.17 

.34 

153.12 

.36 

189.82 

.37 

227.07 

.38 

263.67 

.36 

298.44 

.34 

.17 

.84 

118.51 

.34 

153.48 

.36 

190.19 

.37 

227.45 

.37 

264.03 

.36 

298.78 

.33 

.16 

.85 

118.85 

.33 

153.84 

.36 

190.56 

.37 

227.82 

.37 

264.39 

.36 

299.11 

.34 

.15 

.86 

119.18 

.34 

154.20 

.37 

190.93 

.37 

228.19 

.37 

264.75 

.35 

299.45 

.33 

.14 

.87 

119.52 

.34 

154.57 

.36 

191.30 

.38 

228.56 

.37 

265.10 

.36 

299.78 

.33 

.13 

.88 

119.86 

.34 

154.93 

.36 

191.68 

.37 

228.93 

.37 

265,46 

.36 

300.11 

.33 

.12 

.89 

120.20 

.34 

155.29 

.36 

192.05 

.37 

229.30 

.37 

265.82 

.36 

300.44 

.33 

.11 

.90 

120.54 

.34 

155.65 

.36 

192.42 

.37 

229.67 

.37 

266.18 

.36 

300.77 

.33 

.10 

.91 

120.88 

.34 

156.01 

.37 

192.79 

.37 

230.04 

.37 

266.54 

.35 

301.10 

.33 

.09 

.92 

121.22 

.34 

156.38 

.36 

193.16 

.38 

230.41 

.37 

266.89 

.36 

301.43 

.34 

.08 

.93 

121.56 

.34 

156.74 

.36 

193.54 

.37 

230.78 

.37 

267.25 

.36 

301.77 

.33 

.07 

.94 

121.90 

.34 

157.10 

.36 

193.91 

.37 

231.15 

.37 

267.61 

.36 

302.10 

.33 

.06 

.95 

122.24 

.34 

157.46 

.37 

194.28 

.37 

231.52 

.37 

267.97 

.36 

302.43 

.33 

.05 

.96 

122.58 

.34 

157.83 

.36 

194.65 

.37 

231.89 

.37 

268.33 

.35 

302.76 

.33 

.04 

.97 

122.92 

.34 

158.19 

.36 

195.02 

.38 

232.26 

.37 

268.68 

.36 

303.09 

.33 

.03 

.98 

123.26      .34 

158.55 

.37 

195.40 

.37 

232.63 

.37 

269.04 

.36 

303.42 

.33 

.02 

.99 

123.60      .34 

158.92 

.36 

195.77 

.37 

233.00 

.37 

269.40 

.35 

303.75 

.33 

.01 

1.00 

123.94      .34 

159.28 

.36 

196.14 

.37 

233.37 

.37 

269.75 

.36 

304.08 

.33 

.00 

Days.           29 

28 

27 

26 

AS 

24       Days. 

151 


TABLE  XI.    ARGUMENT  6. 

Equation  =  206".9  [1  -+-  sin.  (2<  —  z  —  x)]. 
Period,  34.840892  days. 


Days.            12 

|3 

14 

IS 

16 

1  7       Days. 

h  ieini  <: 

C.I    1    1I..V 

Kqu.uitm. 

Diff. 

K  jiuti<m. 

Diff 

Equation. 

Diir. 

Equation. 

Biff 

Equation. 

Diff. 

hllHlK.il. 

MB 

I)>'i'illl.ll.S 

..!'«  D.iv. 

.00 

304.08 

.33 

335.25 

.29 

362.27 

.25 

384.25 

.19 

400.49 

.13 

410.45 

.07 

1.00 

.01 

304.41 

.33 

335.54 

.29 

362.52 

.25 

384.44 

.19 

400.62 

.13 

410.52 

.07 

.99 

.02 

304.74 

.33 

335.83 

.30 

362.77 

.24 

384.63 

.19 

400.75 

.13 

410.59 

.06 

.98 

.03 

305.07 

.33 

336.13 

.29 

363.01 

.25 

384.82 

.19 

400.88 

.13 

410.6S 

.07 

.97 

.04 

305.40 

.32 

336.42 

.29 

363.26 

.24 

385.01 

.19 

401.01 

.13 

410.72 

.06 

.<)<; 

.05 

305.72 

.33 

336.71 

.29 

363.50 

.25 

385.20 

.19 

401.14 

.13 

410.7S 

.06 

.95 

.06 

306.05 

.33 

337.00 

.29 

363.75 

.24 

385.39 

.19 

401.27 

.13 

410.84 

.06 

.94 

.07 

306.38 

.33 

337.29 

.29 

363.99 

.24 

385.58 

.19 

401.40 

.18 

410.90 

.06 

.93 

.08 

306.71 

.32 

337.58 

.29 

364.23 

.24 

385.77 

.19 

401.53 

.12 

410.9C 

.06 

.92 

.09 

307.03 

.33 

337.87 

.29 

364.47 

.24 

385.96 

.19 

401.65 

.13 

411.02 

.06 

.91 

.10 

307.36 

.33 

338.16 

.29 

364.71 

.24 

386.15 

.19 

401.78 

.13 

411.08 

.06 

.90 

.11 

307.69 

.32 

338.45 

.29 

364.95 

.24 

386.34 

.19 

401.91 

.12 

411.14 

.06 

.89 

.12 

308.01 

.33 

338.74 

.29 

365.19 

.24 

386.53 

.18 

402.03 

.12 

411.20 

.06 

,88 

.13 

308.34 

.33 

339.03 

.29 

365.43 

.24 

386.71 

.19 

402.15 

.13 

411.26 

.06 

.87 

.14 

308.67 

.32 

339.32 

.28 

365.67 

.24 

386.90 

.18 

402.28 

.12 

411.32 

.06 

.86 

.15 

308.99 

.32 

339.60 

.29 

365.91 

.24 

387.08 

.19 

402.40 

.12 

411.38 

.06 

.85 

.16 

309.31 

.33 

339.89 

.29 

366.15 

.23 

387.27 

.18 

402.52 

.12 

411.44 

.05 

.84 

.17 

309.64 

.32 

340.18 

.28 

366.38 

.24 

387.45 

.18 

402.64 

.12 

411.49 

.06 

.68 

.18 

309.96 

.32 

340.46 

.29 

366.62 

.24 

387.63 

.18 

402.76 

.12 

411.55 

.05 

.82 

.19 

310.28 

.'.K 

340.75 

.28 

366.86 

.24 

387.81 

.18 

402.88 

.12 

411.60 

.05 

.81 

.20 

310.60 

.32 

341.03 

.28 

367.10 

.24 

387.99 

.18 

403.00 

.12 

411.65 

.05 

.80 

.21 

310.92 

.33 

341.31 

.29 

367.34 

.23 

388.17 

.18 

403.12 

.12 

411.70 

.06 

.79 

.22 

311.25 

.32 

341.60 

.28 

367.57 

.24 

988.39 

.18 

403.24 

.12 

411.75 

.05 

.78 

.23 

311.57 

.32 

841.86 

.28 

367.81 

.24 

888.53 

.18 

403.36 

.12 

411.80 

.06 

.77 

.24 

311.89 

.32 

342.16 

.29 

368.05 

.2:1 

388.71 

.18 

403.48 

.12 

411.85 

.05 

.76 

.25 

312.21 

.32 

342.45 

.28 

368.28 

.24 

388.89 

.17 

403.60 

.11 

411.90 

.05 

.75 

.26 

312.53 

.32 

342.73 

.28 

368.52 

.23 

389.06 

.18 

403.71 

.12 

411.95 

.05 

.74 

.27 

312.85 

.:« 

343.01 

.28 

888.75 

.2:i 

389.24 

.17 

403.83 

.11 

412.00 

.05 

.73 

.28 

313.18 

.82 

3  43.2!) 

.28 

888.98 

.88 

389,41 

.18 

403.94 

.11 

412.05 

.05 

.72 

.29 

313.50 

,82 

:f  1:1.57 

.28 

369.21 

.23 

389.59 

.17 

404.05 

.11 

412.10 

.05 

.71 

.30 

313.82 

.32 

848^5 

.28 

369.44 

.23 

389.76 

.17 

404.16 

.11 

412.15 

.05 

.70 

.31 

814.14 

.:« 

844.18 

.28 

369.67 

.23 

389.93 

.18 

404.27 

.11 

412.20 

.05 

.69 

.32 

314.46 

.:i-j 

844.41 

.28 

869.90 

.2:1 

390.11 

.17 

464.38 

.11 

412.25 

.04 

.68 

.:i:t 

314.78 

.32 

844.69 

.27 

370.13 

.23 

390.28 

.17 

404.49 

.11 

412.29 

.05 

.67 

44 

315.10 

.31 

844.96 

.28 

370.36 

.2:1 

390.45 

.17 

401.60 

.11 

412.34 

.04 

.66 

.:t:> 

315.41 

.32 

345.24 

.28 

370.59 

.22 

890.63 

.17 

404.71 

.11 

412.38 

.05 

.65 

.36 

815.78 

.32 

845.59 

.27 

370.81 

.23 

390.79 

.17 

401.82 

.11 

412.43 

.04 

.64 

.:i7 

816.05 

£2 

845.79 

.28 

371.04 

.23 

890.96 

.17 

404.93 

.11 

II-.'.  17 

.04 

.63 

J8 

316.37|     .31 

846.07 

96 

371.27 

.22 

891.18 

.17 

405.04 

.11 

412.51 

.01 

.62 

.39 

:il(i.68 

.32 

346.35 

.27 

371.49 

.23 

891.80 

.17 

405.15 

.11 

412.55 

.01 

.(II 

.40 

317.00 

.32 

346.62 

.28 

371.72 

.23 

861.47 

.17 

10556 

.11 

412.59 

.01 

.60 

.41 

:{  17.  :(-.! 

.:{•_' 

846.90 

.27 

371.95 

.22 

891.64 

.17 

405.8? 

.10 

412.68 

.01 

.69 

.4',' 

317.64 

.31 

:i  17.17 

.28 

372.17 

52 

891.81 

.17 

405.47 

.11 

H2.61 

.01 

.58 

A3 

317.!).-) 

.:« 

847.46 

.27 

372.39 

.23 

891.98 

.16 

lor,.  5s 

.10 

412.71 

.01 

.57 

.11 

81857 

.31 

:il7.72 

.27 

372.62 

.22 

392.14 

.17 

405.68 

.11 

412.7JI 

.01 

.56 

.1:. 

81&&J 

.:!;! 

847.98 

.28 

372.K  1 

.22 

392.31 

.17 

405.79 

.10 

412.79 

.03 

.55 

.46 

818JO 

.31 

84857 

.27 

873.06 

.93 

3!I2.  IN 

.16 

405.88 

.10 

1IMN-J 

.01 

.51 

.17 

81951 

.:tl 

848.54 

.27 

87359 

.•2-2 

392.<>  1 

.17 

405.99 

.10 

412.  Mi 

.03 

.5:i 

.!•> 

819.53 

.31 

848  Jl 

.27 

878.51 

as 

893.S1 

.16 

406.08 

.10 

112.89 

.04 

.53 

.49 

819.63 

.31 

.'{  1!).08 

.27 

873.78 

as 

892.97 

.Hi 

406.19 

.10 

412.98 

.03 

.51 

..-,o 

320.14 

.:tl 

3W.:t5     an 

373.95 

.2-2 

393.13 

.16 

406.29 

.10 

412.96 

.03 

.50 

D,               33 

39 

31 

'-10 

10 

1  8      Days. 

152 


TABLE  XI.    ARGUMENT  6. 

Equation  =  206".9  [1  +  sin.  (2<  —  z  —  *)]. 
Period,  34.846892  days. 


Days.            12 

13 

14 

15 

16 

17       Days. 

ecimatE 

'a  li.u 

Iv  jM.ll  Mil 

Diff. 

Eqimliou. 

Dnr. 

Equation. 

Diff 

Equal  inn. 

Diff 

Equation. 

Diff 

Equalion. 

DilT. 

Vrini.il 

fa  Day 

.50 

320.14 

.31 

349.35 

.27 

373.95 

.22 

393.13 

.16 

406.29 

.10 

412.96 

.03 

.50 

.51 

320,45 

.31 

349.62 

.27 

374.17 

.22 

393.29 

.16 

406.39 

.10 

412.99 

.03 

.49 

.52 

320.76 

.31 

349.89 

.27 

374.39 

.22 

393.45 

.16 

406.49 

.10 

413.02 

.03 

.48 

.53 

321.07 

.31 

350.16 

.27 

374.61 

.22 

393.61 

.16 

406.59 

.10 

413.05 

.03 

.47 

.54 

321.38 

.31 

350.43 

.27 

374.83 

.22 

393.77 

.16 

406.69 

.10 

413.08 

.03 

.46 

.55 

321.69 

.31 

350.70 

.27 

375.05 

.21 

393.93 

.16 

406.79 

.09 

413.11 

.03 

.45 

.56 

322.00 

.31 

350.97 

.26 

375.26 

.22 

394.09 

.16 

406.88 

.10 

413.14 

.03 

.44 

.57 

322.31 

.31 

351.23 

.27 

375.48 

.22 

394.25 

.16 

406.98 

.09 

413.17 

.03 

.43 

.58 

822.62 

.31 

351.50 

.27 

375.70 

.21 

394.41 

.16 

407.07 

.09 

413.20 

.03 

.42 

.59 

322.93 

.31 

351.77 

.27 

375.91 

.22 

394.57 

.16 

407.16 

.09 

413.23 

.03 

.41 

.60 

323.24 

.31 

352.04 

.27 

376.13 

.21 

394.73 

.16 

407.25 

.09 

413.26 

.03 

.40 

.61 

323.55 

.31 

352.31 

.26 

376.34 

.22 

394.S9 

.15 

407.34 

.09 

413.29 

.03 

.39 

.62 

323.86 

.31 

352.57 

.27 

376.56 

.21 

395.04 

.16 

407.43 

.09 

413.32 

.02 

.38 

.63 

324.17 

.30 

352.H4 

.27 

376.77 

.21 

395.20 

.15 

407.52 

.09 

413.34 

.03 

.37 

.64 

324.47 

.31 

353.11 

.26 

376.98 

.22 

395.35 

.16 

407.61 

.09 

413.37 

.02 

.36 

.65 

324.78 

.31 

353.37 

.27 

377.20 

.21 

395.51 

.15 

407.70 

.09 

413.39 

.02 

.35 

.66 

325.09 

.30 

353.64 

.26 

377.41 

.21 

395.66 

.15 

407.79 

.09 

413.41 

.02 

.34 

.67 

325.39 

.31 

353.90 

.26 

377.62 

.21 

395.81 

.15 

407.88 

.09 

413.43 

.02 

.33 

.68 

325.70 

.31 

354.16 

.2r, 

377.83 

.21 

395.96 

.15 

407.97 

.08 

413.45 

.02 

.32 

.69 

326.01 

.30 

354.48 

.26 

378.04 

.21 

396.11 

.15 

408.05 

.09 

413.47 

.02 

.31 

.70 

326.31 

.31 

354.68 

.26 

378.25 

.21 

396.26 

.15 

408.14 

.08 

413.49 

.02 

.30 

.71 

326.62 

.30 

354.94 

.26 

378.46 

.21 

396.41 

.15 

408.22 

.09 

413.51 

.02 

.29 

.72 

326.92 

.30 

355.20 

.26 

378.67 

.21 

396.56 

.15 

408.31 

.08 

413.53 

.02 

.28 

.73 

327.22 

.31 

355.46 

.26 

378.88 

.20 

396.71 

.15 

408.39 

.09 

413.55 

.02 

.27 

.74 

327.53 

.30 

355.72 

.25 

379.08 

.21 

396.86 

.15 

408.48 

.08 

413.57 

.02 

.26 

.75 

327.83 

.30 

355.97 

.26 

379.29 

.21 

397.01 

.14 

408.56 

.09 

413.59 

.01 

.25 

.76 

328.13 

.30 

356.23 

.26 

379.50 

.20 

397.15 

.15 

408.65 

.08 

413.60 

.02 

.24 

.77 

328.43 

.30 

356.49 

.26 

379.70 

.21 

397.30 

.14 

408.73 

.08 

413.62 

.01 

.23 

.78 

328.73 

.30 

356.75 

.25 

379.91 

.20 

397.44 

.15 

408.81 

.08 

413.63 

.01 

.22 

.79 

329.03 

.30 

357.00 

.26 

380.11 

.20 

397.59 

.14 

408.89 

.08 

413.64 

.01 

.21 

.80 

329.33 

.30 

357.26 

.26 

380.31 

.20 

397.73 

.14 

408.97 

.08 

413.65 

.01 

.20 

.81 

329.63 

.30 

357.52 

.25 

380.51 

.20 

397.87 

.15 

409.05 

.08 

413.66 

.01 

.19 

.82 

329.93 

.30 

357.77 

.25 

380.71 

.20 

398.02 

.14 

409.13 

.08 

413.67 

.01 

.18 

.83 

330.23 

.30 

358  02 

.26 

380.91 

.20 

398.16 

.14 

409.21 

.08 

413.68 

.01 

.17 

.84 

330.53 

.30 

358.28 

.25 

381.11 

.20 

398.30 

.14 

409.29 

.08 

413.69 

.01 

.16 

.85 

330.83 

.29 

358.53 

.25 

381.31 

.20 

398.44 

.14 

409.37 

.07 

413.70 

.01 

.15 

.86 

331.12 

.30 

358.78 

.25 

381.51 

.20 

398.58 

.14 

409.44 

.08 

413.71 

.01 

.14 

.87 

331.42 

.30 

359.03 

.26 

381.71 

.20 

398.72 

.14 

409.52 

.07 

413.72 

.01 

.13 

.88 

331.72 

.29 

359.29 

.25 

381.91 

.20 

398.86 

.14 

409.59 

.08 

413.73 

.01 

.12 

.89 

332.01 

.30 

359.54 

.25 

382.11 

.20 

399.00 

.14 

409.67 

.07 

413.74 

.01 

.11 

.90 

332.31 

.30 

359.79 

.25 

382.31 

.20 

399.14 

.14 

409.74 

.07 

413.75 

.01 

.10 

.91 

332.61 

.29 

360.04 

.25 

382.51 

.20 

399.28 

.14 

409.81 

.08 

413.76 

.01 

.09 

.92 

332.90      .30 

360.29 

.25 

382.71 

.19 

399.42 

.14 

409.89 

.07 

413.77 

.01 

.08 

.93 

333.20      .30 

*   360.54 

.25 

382.90 

.20 

399.56 

.13 

409.96 

.07 

413.78 

.01 

.07 

.94 

333.50 

.29 

360.79 

.24 

383.10 

.19 

399.69 

.14 

410.03 

.07 

413.79 

.00 

.06 

.95 

333.79 

.30 

361.03 

.25 

383.29 

.20 

399.83 

.13 

410.10 

.07 

413.79 

.01 

.05 

.96 

33  1.09 

.29 

361.28 

.25 

383.49 

.19 

399.96  j     .14 

410.17      .07 

413.80 

.00 

.04 

.97 

134.38 

.29 

361.53 

.25 

383.68 

.19 

400.10      .13 

410.24      .07 

413.80 

.00 

.03 

.98 

331.67 

.29 

361.78 

.24 

383.87 

.19 

40023      .13 

410.31 

.07 

413.80 

.00 

.02 

.99 

334.96'     .29 

362.02      .25 

384.94 

.19 

400.36      .13 

410.38 

.07 

413.80 

.00 

.01 

1.00 

335.25      .29 

362.27      .25 

384.25 

.19 

400.49 

.13 

410.45 

.07 

413.80 

.00 

.00 

Days.           23 

22 

21 

2O 

19 

1  8       Days. 

153 


TABLE  XII.    ARGUMENT  7, 

Equation  =  192".l  [1  -{-sin.  (2i  +  z)]. 
Period,  9.613718  days. 


Days.               O 

1 

a 

3 

4            Days. 

MmS 

Equation. 

Difference. 

Equation. 

Difference, 

Equation. 

Difll-re.ice. 

Equation. 

Differenre. 

Equation. 

Difference. 

Diviinals 
ifa  Day. 

.00 

1.53 

.15 

26".09 

.64 

119.09 

1.16 

242.17 

1.21 

344.61 

.76 

1.00 

.01 

1.38 

.15 

26.73 

.65 

120.25 

1.16 

243.38 

1.21 

345.37 

.75 

.99 

.02 

1.23 

.14 

27.38 

.65 

121.41 

1.17 

244.59 

1.21 

346.12 

.75 

.98 

.03 

1.09 

.13 

28.03 

.66 

122.58 

1.17 

245.80 

1.20 

346.87 

.74 

.97 

.04 

0.96 

.12 

28.69 

.66 

123.75 

1.18 

247.00 

1.20 

347.61 

.73 

.96 

.05 

0.84 

.11 

29.35 

.67 

124.93 

1.18 

248.20 

1.20 

348.34 

.73 

.95 

.06 

0.73 

.11 

30.02 

.68 

126.11 

1.18 

249.40 

1.20 

349.07 

.72 

.94 

.07 

0.62 

.10 

30.70 

.68 

127.29 

.1.18 

250.60 

1.20 

349.79 

.71 

.93 

.08 

0.52 

.09 

31.38 

.69 

128.47 

1.19 

251.80 

1.19 

350.50 

.71 

.92 

.09 

0.43 

.08 

32.07 

.70 

129.66 

1.19 

252.99 

1.19 

351.21 

.70 

.91 

.10 

0.35 

.07 

32.77 

.70 

130.85 

1.19 

254.18 

1.19 

351.91 

.69 

.90 

.11 

0.28 

.06 

33.47 

.71 

132.04 

1.19 

255.37 

1.18 

352.60 

.69 

.89 

.12 

0.22 

.06 

34.18 

.72 

133.23 

1.20 

256.55 

1.18 

353.29 

.68 

.88 

.13 

0.16 

.05 

34.90 

.73 

134.43 

1.20 

257.73 

1.18 

353.97 

.67 

.87 

.14 

0.11 

.04 

35.63 

.73 

135.63 

1.20 

258.91 

1.17 

354.64 

.67 

.86 

.15 

0.07 

.03 

36.36 

.74 

136.83 

1.20 

260.08 

1.17 

355.31 

.66 

.85 

.16 

0.04 

.02 

37.10 

.75 

138.03 

1.21 

261.25 

1.17 

355.97 

.65 

.84 

.17 

0.02 

.01 

37.85 

.75 

139.24 

1.21 

262.42 

1.17 

356.62 

.65 

.83 

.18 

0.01 

.01 

38.60 

.76 

140.45 

1.21 

263.59 

1.17 

357.27 

.64 

.82 

.19 

0.00 

..00 

39.36 

.76 

141.66 

1.21 

264.76 

1.16 

357.91 

.63 

.81 

.20 

0.00 

.01 

40.12 

.77 

142.87 

1.21 

265.92 

1.16 

358.54 

.62 

.80 

.21 

0.01 

.02 

40.89 

.78 

144.08 

1.22 

267.08 

1.15 

359.16 

.62 

.79 

.22 

0.03 

.03 

41.67 

.78 

145.30 

1.22 

268.23 

1.15 

359.78 

.61 

.78 

.23 

0.06 

.03 

42.45 

.79 

146.52 

1.22 

269.38 

1.15 

360.39 

.60 

.77 

.24 

0.09 

.04 

43.24 

.79 

147.74 

1.22 

270.53 

1.14 

360.99 

.60 

.76 

.25 

0.13 

.05 

44.03 

.80 

148.96 

1.22 

271.67 

1.14 

361.59 

.59 

.75 

.26 

0.18 

.06 

44.83 

.81 

150.18 

1.23 

272.81 

1.14 

362.18 

.58 

.74 

.27 

0.24 

.07 

45.64 

.81 

151.41 

1.23 

273.95 

1.13 

362.76 

.57 

.73 

.28 

0.31 

.08 

46.45 

.82 

152.64 

1.23 

275.08 

1.13 

363.33 

.56 

.72 

.29 

0.39 

.08 

47.27 

.83 

153.87 

1.23 

276.21 

1.13 

363.89 

.56 

.71 

.30 

0.47 

.09 

48.10 

.83 

155.10 

1.23 

277.34 

1.12 

364.45 

.55 

.70 

.31 

0.56 

.10 

48.93 

.84 

156.33 

1.23 

278.46 

1.12 

365.00 

.54 

.69 

.32 

0.66 

.11 

49.77 

.85 

157.56 

1.24 

279.58 

1.12 

365.54 

.54 

.68 

.33 

0.77 

.12 

50.62 

.85 

158.80 

1.24 

280.70 

1.11 

366.08 

.53 

.67 

.34 

0.89 

.12 

51.47 

.86 

160.04 

1.24 

281.81 

1.11 

366.61 

.52 

.66 

.35 

1.01 

.13 

52.33 

.87 

161.28 

1.24 

282.92 

1.10 

367.13 

.52 

.65 

.36 

1.14 

.14 

53.20 

.87 

162.52 

1.24 

284.02 

1.10 

367.65 

.51 

.64 

.37 

1.28 

.15 

54.07 

.88 

163.76 

1.24 

285.12 

1.10 

868.16 

.50 

.63 

.38 

1.43 

.16 

54.95 

.88 

165.00 

1.25 

286.22 

1.09 

368.66 

.49 

.62 

.39 

1.59 

.16 

55.83 

.89 

166.25 

1.24 

287.31 

1.09 

369.15 

.47 

.61 

.40 

1.75 

.17 

56.72 

.90 

167.49 

1.25 

288.40 

1.08 

369.62 

.48 

.60 

.41 

1.92 

.18 

57.62 

.90 

168.74 

1.24 

289.48 

1.08 

370.10 

.47 

.59 

.42 

2.10 

.19 

58.52 

.91 

169.98 

1.25 

290.56 

1.08 

370.57 

.46 

.58 

.43 

2.29 

.20 

59.43 

.91 

171.23 

1.25 

291.64 

1.07 

371.03 

.45 

.57 

.44 

2.49 

.21 

60.34 

.91 

172.48 

1.25 

292.71 

1.07 

371.48 

.44 

.56 

.45 

2.70 

.21 

61.25 

.92 

173.73 

1.25 

293.78 

1.06 

371.92 

.44 

.55 

.46 

2.91 

.22 

62.17 

.93 

174.98 

1.25 

39441 

1.06 

372.36 

.43 

.54 

.47 

3.13 

.23 

63.10 

.93 

176.23 

1.25 

295.90 

1.06 

372.79 

.42 

.53 

.48 

:{.uc 

.24 

64.03 

.94 

177.48 

1.26 

296.95 

1.05 

373.2  1 

.41 

.52 

.49 

3.60 

.25 

64.97 

.94 

178.74 

1.25 

^!)N.()() 

1.05 

373.62 

.41 

.51 

.50 

3.N5 

£0 

65.91 

.95 

179.99 

1.25 

299.05 

1.04 

374.03 

.40 

.50 

Days.               9 

8 

7 

6 

&            Days. 

154 


TABLE  XII.    ARGUMENT  7. 

Equation  =192".!  [1-fsin.  (2t+x)]. 
Period,  9.613718  days. 


Days.               O 

1 

2 

3 

4             Days. 

ecitnals 
of  :i  D;iy. 

Equation. 

Difference. 

Kquiiiion. 

lifference. 

Equation. 

Difference. 

Equation. 

Difference. 

Equation. 

Difference. 

leeiuuU 

fa  Day. 

.50 

3.85 

.25 

65.91 

.95 

179.99 

1.25 

299".05 

1.04 

374.03 

.40 

.50 

.51 

4.10 

.26 

66.86 

.95 

181.24 

1.26 

300.09 

1.04 

374.43 

.39 

.49 

.52 

4.36 

.27 

67.81 

.96 

182.50 

1.25 

301.13 

1.03 

374.82 

.38 

.48 

.53 

4.63 

.28 

68.77 

.97 

183.75 

1.26 

302.16 

1.02 

375.20 

.38 

.47 

.54 

4.91 

.29 

69.74 

.97 

185.01 

1.25 

303.18 

1.02 

375.58 

.37 

.46 

.55 

5.20 

.29 

70.71 

.98 

186.26 

1.25 

304.20 

1.02 

375.95 

.36 

.45 

.56 

5.49 

.30 

71.69 

.98 

187.51 

1.26 

305.22 

1.01 

376.31 

.35 

.44 

.57 

5.79 

.31 

72.67 

.99 

188.77 

1.25 

306.23 

1.01 

376.66 

.35 

.43 

.58 

6.10 

.32 

73.66 

.99 

190.02 

1.26 

307.24 

1.00 

377.01 

.34 

.42 

.59 

6.42 

.33 

74.65 

.99 

191.28 

1.25 

308.24 

1.00 

377.35 

.33 

.41 

.60 

6.75 

.33 

75.64 

1.00 

192.53 

1.26 

309.24 

.99 

377.68 

.32 

.40 

.61 

7.08 

.34 

76.64 

1.01 

193.79 

1.25 

310.23 

.99 

378.00 

.31 

.39 

.62 

7.42 

.35 

77.65 

1.01 

195.04 

1.26 

311.22 

.98 

378.31 

.30 

.38 

.63 

7.77 

.36 

78.66 

1.02 

196.30 

1.25 

312.20 

.98 

378.61 

.30 

.37 

.64 

8.13 

.37 

79.68 

1.02 

197.55 

1.26 

313.18 

.97 

378.91 

.29 

.36 

.65 

8.50 

.37 

80.70 

1.03 

198.81 

1.25 

314.15 

.97 

379.20 

.28 

.35 

.66 

8.87 

.38 

81.73 

1.03 

200.06 

1.26 

.315.12 

.96 

379.48 

.27 

.34 

.67 

9.25 

.39 

82.76 

1.03 

201.32 

1.25 

316.08 

.96 

379.75 

.26 

.33 

.68 

9.64 

.40 

83.79 

1.04 

202.57 

1.26 

317.04 

.95 

380.01 

.26 

.32 

.69 

10.04 

.41 

84.83 

1.04 

203.83 

1.25 

317.99 

.94 

380.27 

.25 

.31 

.70 

10.45 

.41 

85.87 

1.05 

205.08 

1.25 

318.93 

.94 

380.52 

.24 

.30 

.71 

10.86 

.42 

86.92 

1.05 

206.33 

1.25 

319.87 

.94 

380.76 

.23 

.29 

.72 

11.28 

.43 

87.97 

1.06 

207.58 

1.25 

320.81 

.93 

380.99 

.22 

.28 

.73 

11.71 

.44 

89.03 

1.06 

208.83 

1.25 

321.74 

.92 

381.21 

.22 

.27 

.74 

12.15 

.44 

90.09 

1.06 

210.08 

1.25 

322.66 

.92 

381.43 

.21 

.26 

.75 

12.59 

.45 

91.15 

1.07 

211.33 

1.25 

323.58 

.91 

381.64 

.20 

.25 

.76 

13.04 

.46 

92.22 

1.07 

212.58 

1.25 

324.49 

.91 

381.84 

.19 

.24 

.77 

13.50 

.47 

93.29 

1.08 

213.83 

1.25 

325.40 

.90 

382.03 

.18 

.23 

.78 

13.97 

.47 

94.37 

1.08 

215.08 

1.24 

326.30 

.90 

382.21 

.18 

.22 

.79 

14.44 

.48 

95.45 

1.09 

216.32 

1.25 

327.20 

.89 

382.39 

.17 

.21 

.80 

14.92 

.49 

96.54 

1.09 

217.57 

1.24 

328.09 

.89 

382.56 

.16 

.20 

.81 

15.41 

.50 

97.63 

1.10 

218.81 

1.25 

328.98 

.88 

382.72 

.15 

.19 

.82 

15.91 

.50 

98.73 

1.10 

220.06 

1.24 

329.86 

.87 

382.87 

.14 

.18 

.83 

16.41 

.51 

99.83 

1.10 

221.30 

1.24 

330.73 

.87 

383.01 

.14 

.17 

.84 

16.92 

.51 

100.93 

1.11 

222.54 

1.24 

331.60 

.86 

383.15 

.13 

.16 

.85 

17.43 

.52 

102.04 

1.11 

223.78 

1.24 

332.46 

.85 

383.28 

.12 

.15 

.86 

17.95 

.53 

103.15 

1.12 

225.02 

1.24 

333.31 

.85 

383.40 

.11 

.14 

.87 

18.48 

.54 

104.27 

1.12 

226.26 

1.23 

334.16 

.84 

383.51 

.10 

.13 

.88 

19.02 

.55 

105.39 

1.12 

227.49 

1.23 

335.00 

.84 

383.61 

.09 

.12 

.89 

19.57 

.56 

106.51 

1.13 

228.72 

1.23 

335.84 

.83 

383.70 

.09 

.11 

.90 

20.13 

.56 

107.64 

1.13 

229.95 

1.23 

336.67 

.82 

383.79 

.08 

.10 

.91 

20.69 

.57 

108.77 

1.13 

231.18 

1.23 

337.49 

.82 

383.87 

.07 

.09 

.92 

21.26 

.58 

109.90 

1.14 

232.41 

1.23 

338.31 

.81 

383.94 

.06 

.08 

.93 

21.84 

.59 

111.04 

1.14 

233.64 

1.22 

339.12 

.80 

384.00 

.05 

.07 

.94 

22.43 

.59 

112.18 

1.15 

234.86 

1.22 

339.92 

.80 

384.05 

.05 

.06 

.95 

23.02 

.60 

113.33 

1.15 

236.08 

1.22 

340.72 

.79 

384.10 

.04 

.05 

.96 

23.62 

.61 

114.48 

1.15 

237.30 

1.22 

341.51 

.78 

384.14 

.03 

.04 

.97 

24.23 

.61 

115.63 

1.15 

238.52 

1.22 

342.29 

.78 

384.17 

.02 

.03 

.98 

24.8' 

.62 

116.78 

1.15 

239.74 

1.22 

343.07 

.77 

384.19 

.01 

.02 

.99 

25.46 

.63 

117.93 

1.16 

240.96 

1.21 

343.84 

.77 

384.20 

.00 

.01 

1.00 

26.0S 

.64 

119.09 

1.16 

242.17 

1.21 

344.61 

.76 

384.20 

.00 

.00 

Days.               9 

8 

7 

6 

3            Days. 

155 


TABLE  XIII.    ARGUMENT  8. 

Equation  —  165".9  [1  -\-  sin.  (2i  —  z)]. 
Period,  15.3873122  days. 


Days.             O 

1 

2 

3 

4 

.»         Days. 

DerinuU 
of  a  Day 

Iviuaiioa. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

K-iu  ihiui. 

Ditr. 

Equation. 

Diff. 

Equation. 

Hi  IT. 

1  Iri-imal 
uf  11  Day 

.00 

1.29 

.08 

6.62 

.19 

38.12 

.43 

90.64 

.60 

155.53 

.67 

222.13 

.64 

1.00 

.01 

1.21 

.08 

6.81 

.19 

38.55 

.43 

91.24 

.60 

156.20 

.68 

222.77 

.63 

.99 

.02 

1.13 

.08 

7.00 

.19 

38.98 

.44 

91.84 

.61 

156.88 

.67 

223.40 

.64 

.98 

.03 

1.05 

.08 

7.19 

.20 

39.42 

.44 

92.45 

.60 

157.55 

.68 

224.04 

.63 

.97 

.04 

0.97 

.07 

7.39 

.20 

39.86 

.44 

93.05 

.61 

158.23 

.68 

224.67 

.63 

.96 

.05 

0.90 

.07 

7.59 

.20 

40.30 

.44 

93.66 

.61 

158.91 

.67 

225.30 

.63 

.95 

.06 

0.83 

.07 

7.79 

.21 

40.74 

.45 

94.27 

.61 

159.58 

.68 

225.93 

.63 

.94 

.07 

0.76 

.06 

8.00 

.21 

41.19 

.45 

94.88 

.61 

160.26 

.68 

226.56 

.63 

.93 

.08 

0.70 

.06 

8.21 

.21 

41.64 

.45 

95.49 

.62 

160.94 

.68 

227.19 

.63 

.92 

.09 

0.64 

.06 

8.42 

.21 

42.09 

.45 

96.11 

.62 

161.62 

.68 

227.82 

.63 

.91 

.10 

0.58 

.05 

8.63 

.22 

42.54 

.46 

96.73 

.62 

162.30 

.68 

228.45 

.63 

.90 

.11 

0.53 

.05 

8.85 

.22 

43.00 

.46 

97.35 

.62 

162.§8 

.67 

229.08 

.62 

.89 

.12 

0.48 

.05 

9.07 

.22 

43.46 

.46 

97.97 

.62 

163.66 

.68 

229.70 

.63 

J88 

.13 

0.43 

.05 

9.29 

.22 

43.92 

.46 

98.59 

.62 

164.33 

.68 

230.33 

.62 

.87 

.14 

0.38 

.05 

9.51 

.23 

44.38 

.46 

99.21 

.62 

165.01 

.68 

230.95 

.62 

.86 

.15 

0.33 

.04 

9.74 

.23 

44.84 

.46 

99.83 

.62 

165.69 

.68 

231.57 

.62 

.85 

.16 

•     0.29 

.04 

997 

.23 

45.30 

.47 

100.45 

.62 

166.37 

.68 

232.19 

.62 

.84 

.17 

0.25 

.01 

10.20 

.24 

45.77 

.47 

101.07 

& 

167.05 

.67 

232.81 

.62 

.83 

.18 

0.21 

.03 

10.44 

.24 

46.24 

.47 

101.69 

.63 

167.72 

.68 

233.43 

.62 

.82 

.19 

0.18 

.03 

10.68 

.24 

46.71 

.47 

102.32 

.63 

168.40 

.68 

234.05 

.62 

.81 

.20 

0.15 

.03 

10.92 

.24 

47.18 

.47 

102.95 

.63 

169.08 

.68 

234.67 

.62 

.80 

.21 

0.12 

.02 

11.16 

.25 

47.65 

.48 

103.58 

.68 

169.76 

.68 

235.29 

.62 

.79 

.22 

0.10 

.02 

11.41 

.25 

48.13 

.48 

104.21 

.63 

170.41 

.67 

235.91 

.61 

.78 

.23 

0.08 

.02 

11.66 

.25 

48.61 

.48 

104.84 

.63 

171.11 

£8 

236.52 

.62 

.77 

.24 

0.06 

.02 

11.91 

.25 

49.09 

.48 

105.47 

.63 

171.79 

.67 

237.14 

.61 

.76 

.25 

0.04 

.01 

12.16 

.26 

49.57 

.48 

106.10 

.63 

172.46 

.68 

237.75 

.61 

.75 

.26 

0.03 

.01 

12.42 

.26 

50.05 

.48 

106.73 

.63 

173.14 

.68 

238.36 

.61 

.74 

.27 

0.02 

.01 

12.68 

.26 

50.53 

.49 

107.36 

.64 

173.82 

.67 

238.97 

.61 

.73 

.28 

0.01 

.01 

12.94 

.26 

51.02 

.49 

108.00 

.63 

174.49 

.68 

239.58 

.60 

.72 

.29 

0.00 

.00 

13.20 

.26 

51.51 

.49 

108.63 

.64 

175.17 

.67 

240.18 

.61 

.71 

.30 

0.00 

.00 

13.46 

.27 

52.00 

.49 

109.27 

.63 

175.84 

.68 

240.79 

.60 

.70 

.31 

0.00 

.00 

13.73 

.27 

52.  1!) 

.50 

109.90 

.64 

176.52 

.68 

241.39 

.60 

.69 

.32 

0.00 

.00 

14.00 

.27 

52.99 

.50 

110.54 

.64 

177.20 

.67 

241.99 

.60 

.68 

.33 

0.00 

.01 

14.27 

.2H 

53.49 

.50 

111.18 

.64 

177.87 

.68 

242.69 

.60 

.67 

.34 

0.01 

.01 

14.55 

.28 

r>:t.!t;i 

.50 

111.83 

.64 

178.55 

.67 

243.19 

.60 

.66 

.35 

0.02 

.01 

14.83 

.28 

54.49 

.50 

1  12.46 

.64 

179.22 

.68 

248.79 

.60 

.65 

.36 

0.03 

.02 

15.  1  1 

.29 

54.99 

.51 

113.10 

.64 

179.90 

.68 

244.39 

.59 

.64 

.37 

0.05 

.02 

15.40 

.29 

55.50 

.51 

1  13.74 

.64 

180.68 

.67 

244.98 

.60 

.68 

.38 

0.07 

.02 

15.69 

a& 

56.01 

.51 

114.38 

.65 

181.86 

.68 

246.88 

.59 

.62 

.39 

0.09 

.02 

15.98 

.29 

56.52 

.51 

115.03 

.<;i 

181.93 

.67 

246.17 

.59 

.61 

.40 

0.11 

.03 

16.27 

.30 

57.03 

.51 

115.67 

,66 

1N2.60 

.67 

246.76 

.59 

.60 

.41 

0.14 

.03 

16.57 

.30 

57.54 

.51 

116.89 

.64 

183.27 

.68 

•->i7.:(.r> 

.59 

.59 

.42 

0.17 

.03 

I6.N7 

.30 

58.06 

.51 

116.96 

.65 

lN.'!.!ir, 

.67 

247.91 

.59 

.58 

.43 

0.20 

.04 

17.17 

.30 

5&6fl 

.52 

117.61 

.65 

184.Q8 

.67 

248.69 

.59 

.57 

.44 

0.24 

.04 

17.47 

JO 

59.08 

.52 

1  18.26 

.65 

185.29 

.67 

248.13 

.59 

.56 

.45 

0.28 

.04 

17.77 

.31 

59.60 

.52 

118.91 

.65 

185.96 

.67 

849.71 

.58 

.55 

.46 

0.32 

.05 

L&06 

..'{] 

60.12 

.52 

119.56 

.65 

186.63 

.68 

260.29 

.59 

.54 

.47 

0.37 

.05 

L&39 

.31 

60.6  1 

.52 

120.21 

.66 

187.81 

.67 

260.88 

.68 

.631 

.48 

0.42 

.05 

1H.70 

.31 

61.16 

.53 

130.87 

.65 

187.98 

.67 

251.46 

.58 

.52 

.49 

0.47 

.05 

19.01 

.:« 

61.69 

M 

121.52 

.66 

188.68 

.67 

288.04 

.58 

.51 

.50 

n.Vj 

.06 

19.33 

.:*•,: 

62.22 

.53 

122.18 

.66 

189.32      .67 

252.62 

.57 

.50 

Days.           15 

14 

i:t 

13 

11 

1O       Days. 

156 


TABLE  XIII.    ARGUMENT  8. 

Equation  =  165".9  [1  +sin.  (2«  — z)]. 
Period,  15.3873122  days. 


Days.             O 

1 

2 

3 

4 

5        Days. 

Dec  i  ma  a 
.of  a  Day 

IvjiUt  inn. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Decimals 
at  a  Day.  1 

.50 

0.52 

.06 

19".33 

.32 

62.22 

.53 

122.18 

.65 

189".32 

.67 

252.62 

.57 

.50 

.51 

0.58 

.06 

19.65 

.32 

62.75 

.53 

122.83 

.65 

189.99 

.67 

253.19 

.58 

.49 

.52 

0.64 

.06 

19.97 

.32 

63.28 

.53 

123.48 

.65 

190.66 

.67 

253.77 

.57 

.48 

.53 

0.70 

.06 

20.29 

.32 

63.81 

.54 

124.13 

.66 

191.33 

.67 

254.34 

.57 

.47 

.54 

0.76 

.06 

20.61 

.33 

64.35 

.54 

124.79 

.66 

192.00 

.67 

254.91 

.57 

.46 

.55 

0.82 

.07 

20.94 

.33 

64.89 

.54 

125.45 

.65 

192.67 

.67 

255.48 

.57 

.45 

.56 

0.89 

.07 

21.27 

.33 

65.43 

.54 

126.10 

.66 

193.34 

.66 

256.05 

.57 

.44 

.57 

0.96 

.07 

21.60 

.31 

65.97 

.54 

126.76 

.66 

194.00 

.67 

256.62 

.56 

.43 

.58 

1.03 

.08 

21.94 

.34 

66.51 

.54 

127.42 

.66 

194.67 

.66 

257.18 

.57 

.42 

.59 

1.11 

,08 

22.28 

.34 

67.05 

.55 

128.08 

.66 

195.33 

.67 

257.75 

.56 

.41 

.60           1.19 

.08 

22.62 

.34 

67.60 

.55 

128.74 

.66 

196.00 

.67 

258.31 

.56 

.40 

.61 

1.27 

.09 

22.96 

.34 

68.15 

.55 

129.40 

.66 

196.67 

.66 

258.87 

.56 

.39 

.62 

1.36 

.09 

23.30 

.35 

68.70 

.55 

130.06 

.67 

197.33 

.67 

259.43 

.56 

.38 

.63 

1.45 

.09 

23.65 

.35 

69.25 

.55 

130.73 

.66 

198.00 

.66 

259.99 

.56 

.37 

.64 

1.54 

.09 

24.00 

.35 

69.80 

.55 

131.39 

.67 

198.66 

.67 

260.55 

.56 

.36 

.65 

1.63 

.10 

24.35 

.35 

70.35 

.55 

132.06 

.66 

199.33 

.66 

261.11 

.55 

.35 

.66 

1.73 

.10 

24.70 

.36 

70.90 

.56 

132.72 

.67 

199.99 

.67 

261.66 

.55 

.34 

.67 

1.83 

.10 

25.06 

.36 

71.46 

.56 

133.39 

.66 

200.66 

.66 

262.21 

.55 

.33 

.68 

1.93 

.10 

25.42 

.36 

72.02 

.56 

134.05 

.67 

201.32 

.66 

262.76 

.55 

.32 

.69 

2.03 

.11 

25.78 

.36 

72.58 

.56 

134.72 

.67 

201.98 

.66 

263.31 

.55 

.31 

.70 

2.14 

.11 

26.14 

.37 

73.14 

.56 

135.3P 

.67 

202.64 

.66 

263.86 

.54 

.30 

.71 

2.25 

.11 

26.51 

.37 

73.70 

.56 

136.08 

.63 

203.30 

.66 

264.40 

.55 

.29 

.72 

2.36 

.12 

26.88 

.37 

74.26 

.57 

136.72 

.67 

203.96 

.66 

264.95 

.54 

.28 

.73 

2.48 

.12 

27.25 

.37 

74.83 

.57 

137.39 

.67 

204.62 

.65 

265.49 

.54 

.27 

.74 

2.60 

.12 

27.62 

.38 

75.40 

.57 

138.06 

.67 

205.27 

.66 

266.03 

.51 

.26 

.75 

2.72 

.13 

28.00 

.3S 

75.97 

.57 

138.73 

.67 

205.93 

.66 

266.57 

.54 

.25 

.76 

2.85 

.13 

28.3S 

.3S 

76.54 

.57 

13'J.  10 

.66 

206.5;, 

.06 

2  57.  1  1 

.;')  J 

.24 

.77 

2.98 

.13 

28.76 

.38 

77.11 

.57 

140.06 

.67 

207.25 

.65 

267.64 

.54 

.23 

.78 

3.11 

.13 

29.14 

.38 

77.68 

.57 

140.73 

.67 

207.90 

.66 

268.18 

.53 

.22 

.79 

3.24 

.13 

29.52 

.30 

78.25 

.58 

141.40 

.67 

208.56 

.65 

268.71 

.53 

.21 

.80 

.3.37 

.14 

29.91 

.39 

78.83 

.58 

142.07 

.67 

209.21 

.65 

269.24 

.53 

.20 

.81 

3.51 

.14 

30.30 

.39 

79.41 

.58 

142.74 

.67 

209.8« 

.W 

269.77 

.53 

.19 

.82 

3.65 

.14 

30.<W 

.'3.) 

79.9i> 

.58 

1  43.41 

.67 

210.52 

.65 

270.30 

.52 

.18 

.83 

3.79 

.14 

31.08 

.40 

80.57 

.58 

144.08 

.67 

211.17 

.65 

270.82 

.63 

.17 

.84 

3.93 

.15 

31.48 

.40 

81.15 

.58 

144.75 

.67 

211.82 

.65 

271.35 

.52 

.16 

.85 

408 

.15 

31.88 

.40 

81.73 

.58 

145.42 

.67 

212.47 

.65 

271.87 

.52 

.15 

.86 

4.23 

.15 

32.28 

.40 

82.31 

.59 

146.09 

.67 

213.12 

.65 

272.39 

.52 

.14 

.87 

4.38 

.16 

32.68 

.41 

82.90 

.59 

146.76 

.67 

213.77 

.65 

272.91 

.51 

.13 

.88 

4.54 

.16 

33.09 

.41 

83.49 

.59 

147.43 

.68 

214.42 

.64 

273.42 

.52 

.12 

.89 

4.70 

.16 

33.50 

.41 

84.08 

.59 

148.11 

.67 

215.06 

.65 

273.94 

.51 

.11 

.90 

4.86 

.17 

33.91 

.41 

84.67 

.59 

148.78 

.67 

215.71 

.65 

274.45 

.51 

.10 

.91 

5.03 

.17 

34.32 

.41 

85.26 

.59 

149.45 

.67 

216.36 

.64 

274.96 

.51 

.09 

.92 

5.20 

.17 

34.73 

.42 

85.85 

.59 

150.12 

.68 

217.00 

.65 

275.47 

.51 

.08 

.93 

5.37 

.17 

35.15 

.42 

86.44 

.60 

150.80 

.67 

217.65 

.64 

275.98 

.50 

.07 

.94 

5.54 

.17 

35.57 

.42 

87.04 

.60 

151.47 

.68 

218.29 

.64 

276.48 

.51 

.06 

.95 

5.71 

.18 

35.99 

.42 

87.64 

.60 

152.15 

.67 

218.93 

.64 

276.99 

.50 

.05 

.96 

5.89 

.18 

36.41 

.42 

88.24 

.60 

152.82 

.68 

219.57 

.64 

277.49 

.50 

.04 

.97 

6.07 

.18 

36.83 

.43 

88.84 

.60 

153.50 

.67 

220.21 

.64 

277.99 

.50 

.03 

.98 

6.25 

.18 

37.26 

.43 

89.44 

.60 

154.17 

.68 

220.85 

.64 

278.49 

.50 

.02 

.99 

6.43 

.19 

37.69 

.43 

90.04 

.60 

154.85 

.68 

221.49 

.64 

278.99 

.50 

.01 

1.00 

6.62 

.19 

38.12 

.43 

90.64 

.60 

155.53 

.67 

222.13 

.64 

279.49 

.49 

.00 

Days.           15 

14 

13 

12 

11 

1O       Days. 

157 


TABLE  XIII. 

( Continued.) 
Period,  15.3873122  days. 


TABLE  XIV.  ARGUMENT  9. 

Equation  =  148".  1  [1  -f  sin.  (x  —  ;)]. 
Period,  29.802826  days. 


Days.                6 

7 

0 

1 

2           Days. 

Decimal- 
of  a  Day 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

EauaUoo. 

Diff. 

Decimals 
if  a  Diiv. 

_ 

• 

n 

.00 

279.49 

.49 

318.17 

.27 

0.04 

.01 

2.67 

.06 

11.74 

.12 

1.00 

.01 

279.98 

.49 

318.44 

.26 

0.03 

.01 

2.73 

.06 

11.86 

.12 

.99 

.02 

280.47 

.49 

318.70 

.26 

0.02 

.00 

2.79 

.06 

11.98 

.18 

.98 

.03 

280.96 

.49 

318.96 

.26 

0.02 

.01 

2.85 

.06 

12.11 

.12 

.97 

.04 

281.45 

.48 

319.22 

.26 

0.01 

.00 

2.91 

.06 

12.23 

.12 

.96 

.05 

281.93 

.48 

319.48 

.25 

0.01 

.00 

2.97 

.07 

12.35 

.13 

.95 

.06 

282.41 

.48 

319.73 

.25 

0.01 

.01 

3.04 

.06 

12.48 

.13 

.94 

.07 

282.89 

.48 

319.98 

.25 

0.00 

.00 

3.10 

.06 

12.61 

.12 

.93 

.08 

283.37 

.48 

320.23 

.25 

0.00 

.00 

3.16 

.07 

12.73 

.13 

.92 

.09 

283.85 

.47 

320.48 

.24 

0.00 

.00 

3.23 

.06 

12.86 

.13 

.91 

.10 

284.32 

.47 

320.72 

.24 

0.00 

.00 

3.29 

.07 

12.99 

.13 

.90 

.11 

284.79 

.47 

320.96 

.24 

0.00 

.00 

3.36 

.06 

13.12 

.13 

.89 

.12 

285.26 

.47 

321.20 

.24 

0.00 

.00 

3.42 

.07 

13.25 

.13 

.88 

.13 

285.73 

.47 

321.44 

.24 

0.00 

.00 

3.49 

.07 

13.38 

.13 

.87 

.14 

286.20 

.47 

321.68 

.23 

0.00 

.01 

3.56 

.06 

13.51 

.13 

.86 

.15 

286.67 

.46 

321.91 

.23 

0.01 

.00 

3.62 

.07 

13.64 

.13 

.85 

.16 

287.13 

.46 

322.14 

.23 

0.01 

.00 

3.69 

.07 

13.77 

.14 

.SI 

.17 

287.59 

.46 

322.37 

.22 

0.01 

.01 

3.76 

.07 

13.91 

.18 

.s:< 

.18 

288.05 

.46 

322.59 

.22 

0.02 

.00 

3.83 

.07 

14.04 

.13 

.82 

.19 

288.51 

.46 

322.81 

.22 

0.02 

.01 

3.90 

.07 

14.17 

.13 

.81 

.20 

288.97 

.45 

323.03 

.22 

0.03 

.01 

3.97 

.07 

14.30 

.13 

.80 

.21 

289.42 

.45 

323.25 

.21 

0.04 

.01 

4.04 

.07 

14.43 

.14 

.79 

.22 

289.87 

.45 

323.46 

.21 

0.05 

.01 

4.11 

.07 

14.57 

.13 

.7S 

.23 

290.32 

.45 

323.67 

.21 

0.06 

.01 

4.18 

.08 

14.70 

.13 

.77 

.24 

290.77 

.45 

323.88 

.20 

0.07 

.01 

4.26 

.07 

14.83 

.14 

.76 

.25 

291.22 

.44 

324.08 

.20 

0.08 

.01 

4.33 

.ON 

14.97 

.13 

.75 

.26 

291.66 

.44 

324.28 

.20 

0.09 

.01 

4.41 

.07 

15.10 

.14 

.74 

.27 

292.10 

.44 

83448 

.20 

0.10 

.01 

4.48 

.OS 

15.24 

.14 

.73 

.28 

292.54 

.44 

324.68 

.19 

0.11 

.01 

4.56 

.08 

15.38 

.14 

.72 

.29 

292.98 

.43 

324.87 

.19 

0.12 

.01 

4.64 

.08 

15.52 

.14 

.71 

.30 

293.41 

.43 

325.06 

.19 

0.13 

.01 

4.72 

.08 

15.66 

.14 

.70 

.31 

293.84 

.43 

325.25 

.19 

0.14 

.02 

4.80 

.OS 

15.80 

.14 

.69 

.32 

294.27 

.43 

:tvi:>.  1  1 

.18 

0.16 

.01 

4.H8 

.OS 

15.94 

.14 

j68 

.33 

•  294.70 

,i:( 

325.62 

.18 

0.17 

.02 

4.96 

.08 

16.08 

.15 

.67 

.34 

295.13 

.42 

325.80 

.18 

0.19 

.02 

5.04 

.08 

16.23 

.14 

.66 

.35 

295.55 

.42 

325.98 

.18 

0.21 

.01 

5.12 

.08 

16.37 

.14 

.(;.-> 

M 

295.97 

.42 

326.16 

.17 

0.22 

.02 

5.20 

.ON 

16.51 

.16 

.(!» 

.37 

296.39 

.42 

:ufi.:i:* 

.17 

0.24 

.02 

5.2N 

.0!) 

16.66 

.14 

.63 

.38 

296.81 

.41 

826.50 

.17 

0.26 

.01 

6.87 

.ON 

16.80 

.14 

j62 

.39 

297.22 

.41 

326.67 

.16 

0.27 

.02 

5.45 

.08 

16.94 

.16 

.<;i 

.40 

297.63 

.41 

326.83 

.16 

0.29 

.02 

5.53 

.09 

17.09 

.15 

£0 

.41 

298.04 

.41 

:«(>.!»!» 

.16 

0.31 

.09 

5.62 

.08 

17.24 

.16 

.5!) 

.42 

298.45 

.41 

327.15 

.16 

<>.:u 

.02 

5.70 

Joe 

17.  :w 

.14 

.68 

.43 

298.86 

.40 

837.31 

.16 

0.35 

.02 

5.79 

JOB 

17.53        .15 

.57 

.44 

299.26 

.40 

:«7.17 

.15 

0.37 

.03 

5.88 

JOB 

17.  (is 

.18 

.56 

.45 

299.66 

.40 

:j\>7.  rw 

,1ft 

0.40 

.02 

:>.!><; 

M 

17.S.-5 

.16 

.55 

.HI 

:{(K).o(i 

.40 

;{-.'7.77 

.15 

0.42 

.02 

6.86 

.09 

17.98 

.16 

.r>» 

.47 

300.46 

.Id 

327.92 

.14 

0.44 

.o:< 

6.14 

.(1!) 

18.  1» 

.16 

.r.:t 

.48 

.'too.si; 

.3!) 

828.04 

.14 

0.47 

.02 

6.23 

.09 

18.28 

.16 

,63 

.49 

:«>i.  -jr. 

.39 

828.21 

.1  I 

0.49 

.03 

6.82 

.(If) 

18.44 

.16 

.51 

.50 

301.64 

.39 

328.34 

.14 

0.52 

.0:1 

6.41 

.09 

JH.«)H 

.15 

.50 

Days.               9 

8 

iii) 

38 

«7        Days. 

158 


TABLE  XIII. 

{Continued,.) 
Period,  15.3873122  days. 


TABLE  XIV.  ARGUMENT  9. 

Equation^  148".  1  [1  -|-sin.  (x  —  z)]. 
Period,  29.802826  days. 


Days.                6 

7 

o 

1 

2           Days. 

Decimals 
ola  Day. 

Equation. 

Diir. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

ecimals 
fa  Day. 

.50 

301.64 

.39 

328.34 

.14 

0.52 

.03 

6.41 

.09 

18.58 

.15 

.50 

.51 

302.03 

.39 

328.48 

.13 

0.55 

.03 

6.50 

.09 

18.73 

.15 

.49 

.52 

302.42 

.38 

328.61 

.13 

0.58 

.03 

6.59 

.09 

18.88 

.15 

.48 

.53 

302.80 

.38 

328.74 

.13 

0.61 

.03 

6.68 

.10 

19.03 

.16 

.47 

.54 

303.18 

.38 

328.87 

.13 

0.64 

.03 

6.78 

.09 

19.19 

.15 

.46 

.55 

303.56 

.38 

329.00 

.12 

0.67 

.03 

6.87 

.09 

19.34 

.15 

.45 

.56 

3034)4 

.37 

329.12 

.12 

0.70 

.03 

6.96 

.10 

19.49 

.16 

.44 

.57 

304.31 

.37 

329.21 

.12 

0.73 

.03 

7.0fi 

.09 

19.65 

.15 

.43 

.58 

304.68 

.37 

329.36 

.12 

0.76 

.03 

7.15 

.10 

19.80 

.16 

.42 

.59 

305.05 

.37 

329.48 

.11 

0.79 

.03 

7.25 

.10 

19.96 

.16 

.41 

.60 

305.42 

.37 

329.59 

.11 

0.82 

.03 

7.35 

.10 

20.12 

.16 

.40 

.61 

305.79 

.36 

329.70 

.11 

0.85 

.04 

7.45 

.10 

20.28 

.16 

.39 

.62 

306.15 

.36 

329.81 

.10 

0.89 

.03 

7.55 

.10 

20.44 

.16 

.38 

.63 

306.51 

.36 

329.91 

.10 

0.92 

.04 

7.65 

.10 

20.60 

.16 

.37 

.64 

306.87 

.36 

330.01 

.10 

0.96 

.04 

7.75 

.10 

20.76 

.16 

.36 

.65 

307.23 

.35 

330.11 

.10 

1.00 

.03 

7.85 

.10 

20.92 

.16 

.35 

.66 

307.58 

.35 

330.21 

.09 

1.03 

.04 

7.95 

.10 

21.08 

.16 

.34 

.67 

307.93 

.35 

330.30 

.09 

1.07 

.04 

8.05 

.10 

21.24 

.16 

.33 

.68 

308.28 

.35 

330.39 

.09 

1.11 

.04 

8.15 

.10 

21.40 

.16 

.32 

.69 

308.63 

.34 

330.48 

.08 

1.15 

.04 

8.25 

.10 

21.56 

.16 

.31 

.70 

308.97 

.34 

330.56 

.08 

1.19 

.04 

8.35 

.10 

21.72 

.16 

.30 

.71 

309.31 

.34 

330.64 

.08 

1.23 

.04 

8.45 

.11 

21.88 

.16 

.29 

.72 

309.65 

.34 

330.72 

.08 

1.27 

.04 

8.56 

.10 

22.04 

.17 

.28 

.73 

309.99 

.33 

330.80 

.07 

1.31 

.04 

8.66 

.11 

22.21 

.16 

.27 

.74 

310.32 

.33 

330.87 

.07 

1.35 

.05 

8.77 

.11 

22.37 

.16 

'.26 

.75 

310.65 

.33 

330.94 

.07 

1.40 

.04 

8.88 

.10 

22.53 

.17 

.25 

.76 

310.98 

.33 

331.01 

.06 

1.44 

.04 

8.98 

.11 

2U.70 

.16 

.24 

.77 

311.31 

.33 

331.07 

.06 

1.48 

.05 

9.09 

.11 

22.86 

.17 

.23 

.78 

311.64 

.32 

331.13 

.06 

1.53 

.04 

9.20 

.11 

23.03 

.17 

.22 

.79 

311.96 

.32 

331.19 

.06 

1.57 

.05 

9.31 

.11 

23.20 

.17 

.21 

.80 

312.28 

.32 

331.25 

.05 

1.62 

.05 

9.42 

.11 

23.37 

.17 

.20 

.81 

312.60 

.31 

331.30 

.05 

1.67 

.04 

9.53 

.11 

23.54 

.17 

.19 

.82 

312.91 

.31 

331.35 

.05 

1.71 

.05 

9.64 

.11 

23.71 

.17 

.18 

.83 

313.22 

.31 

331.40 

.05 

1.76 

.05 

9.75 

.11 

23.88 

.17 

.17 

.84 

313.53 

.31 

331.45 

.04 

1.81 

.05 

9.86 

.12 

24.05 

.17 

.16 

.85 

313.84 

.30 

331.49 

.04 

1.86 

.05 

9.98 

.11 

24.22 

.17 

.15 

.86 

314.14 

.30 

331.53 

.04 

1.91 

•    .05 

10.09 

.11 

24.39 

.18 

.14 

.87 

314.44 

.30 

331.57 

.04 

1.96 

.05 

10.20 

.12 

24.57 

.17 

.13 

.88 

314.74 

.30 

331.61 

.03 

2.01 

.05 

10.32 

.11 

24.74 

.17 

.12 

.89 

315.04 

.30 

331.64 

.03 

2.06 

.05 

10.43 

.12 

24.91 

.17 

.11 

.90 

315.34 

.29 

331.67 

.03 

2.11 

.05 

10.55 

.12 

25.08 

.18 

.10 

.91 

315.63 

.29 

331.70 

.02 

2.16 

.05 

10.67 

.11 

25.26 

.17 

.09 

.92 

315.92 

.29 

331.72 

.02 

2.21 

.06 

10.78 

.12 

25.43 

.18 

.08 

.93 

316.21 

.29 

331.74 

.02 

2.27 

.05 

10.90 

.12 

25.61 

.18 

.07 

.94 

316.50 

.29 

331.76 

.01 

2.32 

.06 

11.02 

.12 

25.79 

.17 

.06 

.95 

316.79 

.28 

331.77 

.01 

2.38 

.05 

11.14 

.12 

25.96 

.18 

.05 

.96 

317.07 

.28 

331.78 

.01 

2.43 

.06 

11.26 

.12 

26.14 

.18 

.04 

.97 

317.35 

.28 

331.79 

.01 

2.49 

.06 

11.38 

.12 

26.32 

.18 

.03 

.98 

317.63 

.27 

331.80 

.00 

2.55 

.06 

11.50 

.12 

26.50 

.17 

.02 

.99 

317.90 

.27 

331.80 

.00 

2.61 

.06 

11.62 

.12 

26.67 

.18 

.01 

1.00 

318.17 

.27 

331.80 

.00 

2.67 

.06 

11.74 

.12 

26.85 

.18 

.00 

Days.               9 

8 

29 

28 

27       Days. 

159 


TABLE  XIV.    ARGUMENT  9. 


Equation--  148".l  [1-J-sin.  (*  —  •:)]. 
Period,  29.802826  days. 


Days.            3 

4 

S 

« 

7 

8         Days. 

I'-.-IMI..'. 

of  a  D»y. 

Equation. 

Diff 

K|ll.llH»H. 

Diff. 

Equation. 

Diff 

Equation- 

Diff 

}',  lIl.ltllM 

Diff. 

l;l|IM1  Kin 

Diff 

Decimate 

:(  il  Day. 

.00 

26.85 

-  .18 

47.33 

.23 

72.28 

.27 

100.58 

.29 

130.99 

.31 

162.15 

.31 

1.00 

.01 

27.03 

.18 

47.56 

.23 

72.55 

.27 

100.87 

.30 

131.30 

.31 

162.46 

.31 

.!)!) 

.02 

27.21 

.18 

47.79 

.23 

72.82 

.27 

101.17 

.30 

181.61 

.31 

162.77 

.31 

.98 

.03 

27.39 

.18 

48.02 

.23 

73.09 

.27 

101.47 

.29 

131.92 

.31 

163.08 

.31 

.97 

.04 

27.57 

.18 

48.25 

.23 

73.36 

.27 

101.76 

.30 

13253 

.31 

163.39 

.31 

.96 

.05 

27.75 

.19 

48.48 

.23 

73.63 

.27 

102.06 

.30 

132.54 

.31 

163.70 

.31 

.95 

.06 

27.94 

.18 

48.71 

.24 

73.90 

.27 

108.36 

.29 

132.85 

.31 

161.01 

.31 

.91 

.07 

28.12 

.18 

48.95 

.23 

74.17 

.27 

102.65 

.30 

133.16 

.31 

164.33 

.31 

.93 

.08 

28.30 

.19 

49.18 

.23 

74.44 

.27 

102.95 

.30 

183.47 

.31 

164.63 

.31 

.92 

.09 

28.49 

.18 

49.41 

.23 

74.71 

.27 

103.25 

.30 

133.78 

.31 

164.94 

.31 

.91 

.10 

28.67 

.18 

49.64 

.23 

74.98 

.27 

103.55 

.30 

134.09 

.31 

165.25 

.31 

.90 

.11 

28.85 

'  .19 

49.87 

.23 

75.25 

.27 

103.85 

as 

184.40 

.31 

165.56 

.31 

.89 

.12 

29.04 

.18 

50.10 

.23 

75.52 

.27 

104.14 

.30 

184.71 

.31 

165.87 

.31 

.88 

.13 

29.22 

.19 

50.33 

.24 

75.79 

.28 

104.44 

.30 

135.02 

.31 

166.18 

Jl 

.87 

.14 

29.41 

.19 

50.57 

.23 

76.07 

.27 

104.74 

.30 

185.83 

.31 

166.49 

.31 

.86 

.15 

29.60 

.18 

50.80 

.24 

76.34 

.27 

105.04 

.30 

135.64 

.32 

166.80 

.31 

.85 

.16 

29.78 

.19 

51.04 

.24 

76.61 

.28 

105.34 

.30 

135.96 

.31 

167.11 

.31 

.84 

.17 

29.97 

.19 

51.28 

.23 

76.89 

.27 

105.64 

.30 

136.27 

.31 

167.42 

.31 

.83 

.18 

30.16 

.19 

51.51 

.24 

77.16 

.28 

105.94 

.30 

136.58 

.31 

167.73 

.31 

.N2 

.19 

30.35 

.19 

51.75 

.24 

77.44 

.27 

106.24 

.30 

136.89 

.31 

168.04 

.31 

.81 

.20 

30.54 

.19 

51.99 

.24 

77.71 

.28 

106.54 

.30 

137.20 

.31 

168.35 

.31 

.80 

.21 

30.73 

.19 

52.23 

.24 

77.99 

.27 

106.84 

.30 

137.51 

A! 

168.66 

.31 

.7!) 

.22 

30.92 

.19 

52.47 

.24 

78.26 

.28 

107.14 

.30 

137.82 

.31 

168.97 

.31 

.78 

.23 

31.11 

.20 

52.71 

.24 

78.54 

.27 

107.44 

.30 

188.13 

.32 

169.28 

.31 

.77 

.24 

31.31 

.19 

52.95 

.24 

78.81 

X 

107.74 

.30 

138.45 

.31 

169.59 

.31 

.76 

.25 

31.50 

.19 

53.19 

.24 

79.09 

.27 

108.04 

.30 

138.76 

.31 

169.90 

.31 

.75 

.26 

31.69 

.20 

53.43 

.24 

79.36 

.28 

108.34 

.30 

139.07 

.31 

170.21 

.80 

.71 

.27 

31.89 

.19 

53.67 

.24 

79.64 

.27 

108.64 

.81 

139.38 

.31 

170.51 

.31 

.73 

.28 

32.08 

.19 

53.91 

.24 

79.91 

.28 

108.95 

.30 

139.69 

.32 

170.82 

.31 

.72 

.29 

32.27 

.20 

54.15 

.24 

80.19 

.28 

109.25 

.HO 

140.01 

.31 

171.13 

.31 

.71 

.30 

32.47 

.20 

54.39 

.24 

80,17 

.28 

109.55 

.30 

140.32 

.31 

171.44 

.31 

.70 

.31 

32.67 

.19 

54.63 

.24 

80.75 

.27 

109.85 

.80 

140.63 

.31 

171.75 

.31 

.(1!) 

.32 

32.N6 

.20 

54.87 

.-jr. 

81.02 

.28 

110.15 

,80 

140.94 

.31 

172.06 

.30 

.68 

.33 

88.06 

.20 

55.12 

.24 

81.30 

.28 

110.45 

.31 

111.25 

.32 

172.38 

.31 

.67 

.34 

33.26 

.20 

55.36 

.25 

81.58 

.28 

110.76 

.30 

141.57 

.31 

172.67 

.31 

.66 

.35 

33.  if, 

.19 

55.61 

.24 

81.86 

.28 

111.06 

.30 

141.88 

.31 

172.98 

.31 

.65 

.36 

:«:(.<;;> 

.20 

.96 

N-,>.  1  1 

58 

111.36 

.30 

142.19 

.31 

173.2!) 

.31 

.(il 

.37 

88.88 

.20 

56.10 

.24 

N2.  12 

58 

111.60 

.80 

1  12.50 

.31 

178.60 

JO 

.68 

.38 

3i.o.-> 

.20 

66.34 

36 

82.70 

its 

111.98 

.31 

1  12.  SI 

.32 

173.90 

.31 

.62 

.39 

34.25 

.20 

56.59 

.25 

N2.HN 

.28 

112.27 

.30 

143.18 

.31 

171.21 

.31 

.61 

.40 

34.45 

.20 

56.84 

.25 

83.26 

.28 

112.57 

.30 

143.44 

.31 

171.52 

.31 

.60 

.41 

31.65 

.20 

57.09 

.24 

88.54 

28 

1  12.87 

.81 

1  13.75 

.31 

174,83 

.31 

.59 

.42 

:{|.N:> 

.21 

57.33 

.25 

83.82 

.28 

113.18 

JO 

lll.Oli 

.:{! 

175.11 

JO 

.58 

.43 

86.00 

.20 

67.58 

36 

84.10 

£8 

113.48 

JO 

Ill.:t7 

.82 

175.11 

J] 

.57 

.44 

:;.,-.'., 

.20 

57.83 

» 

84.38 

SB 

118.78 

Jl 

111.  (I!) 

.31 

175.75 

J] 

.56 

.45 

85.44 

.20 

68.00 

.24 

84.66 

.29 

114.09 

JO 

115.00 

.31 

176.06 

.30 

.55 

.46 

:t:,.(it; 

.21 

68.82 

.25 

84.96 

as 

114.39 

.31 

1  I.-I.3I 

.31 

176,80 

.31 

.51 

.47 

:{.-..  N? 

.20 

68.51 

J6 

86.23 

36 

114.70 

.80 

1  15.62 

.31 

176.61 

.31 

.58 

.48 

86.01 

.20 

68.89 

.25 

s:,  ;,  1 

as 

1  15.00 

.81 

145.93 

.88 

176.98 

JO 

.52 

.49 

36.27 

.21 

69.07 

46 

86.80 

36 

116.81 

JO 

1  Ki.25 

.81 

177.2S 

.31 

.51 

.50 

36.  is 

.?] 

:l 

.25 

86.08 

36 

115.61 

.31 

146.56 

.81 

177.5!) 

.31 

.50 

Days.           2O 

9S 

34 

33 

33 

31        Days. 

160 


TABLE  XIV.    ARGUMENT  9. 


Equation—  148".l  [1  +sin.  (*  —  *)]. 
Period,  29.802826  days. 


Days.              3 

4 

5 

6 

r 

8        Days. 

Deciimi 
of  a  Day 

Equation. 

Uiff. 

Biuauon. 

Diff. 

Equation. 

Ditf. 

Equation. 

Diff. 

Equation. 

Diff 

Equation. 

Diff. 

Decimals' 
i>fa  Day. 

.50 

36.48 

.21 

'  59.32 

.25 

86.08 

.28 

115.61 

.31 

146.56 

.31 

177.59 

.31 

.50 

.51 

36.69 

.20 

59.57 

.25 

86.36 

.29 

115.92 

.30 

146.87 

.31 

177.90 

.30 

.49 

.52 

36.89 

.21 

59.82 

.25 

86.65 

.28 

116.22 

.31 

147.18 

.32 

178.20 

.31 

.48 

.53 

37.10 

.21 

60.07 

.25 

86.93 

.29 

116.53 

.30 

147.50 

.31 

178.51 

.30 

.47 

.51 

37.31 

.21 

60.32 

.25 

87.22 

.28 

116.83 

.31 

147.81 

.31 

178.81 

.31 

.46 

.55 

37.52 

.20 

60.57 

.26 

87.50 

.29 

117.14 

.30 

148.12 

.32 

179.12 

.30 

.45 

.56 

37.72 

.21 

60.83 

.25 

87.79 

.28 

117.44 

.31 

148.44 

.31 

179.42 

.31 

.44 

.57 

37.93 

.21 

61.08 

.25 

88.07 

.29 

117.75 

.30 

148.75 

.31 

179.73 

.30 

.43 

.58 

38.14 

.21 

61.33 

.26 

88.36 

.28 

118.05 

.31 

149.06 

.32 

180.03 

.31 

.42 

.59 

38.35 

.21 

61.59 

.25 

88.64 

.29 

118.36 

.30 

149.38 

.31 

180.34 

.30 

.41 

.60 

38.56 

.21 

61.84 

.25 

88.93 

.29 

118.66 

.31 

149.69 

.31 

180.64 

.31 

.40 

.61 

38.77 

.21 

62.09 

.26 

89.22 

.28 

118,97 

.30 

150.00 

.31 

180.95 

.30 

.39 

.62 

38.98 

.21 

62.35 

.25 

89.50 

.29 

119.27 

.31 

150.31 

.31 

181.25 

.31 

.38 

.63 

39.19 

.21 

62.60 

.25 

89.79 

.29 

119.58 

.30 

150.62 

.32 

181.56 

.30 

.37 

.64 

39.40 

.22 

62.85 

.26 

90.08 

.29 

119.88 

.31 

150.94 

.31 

181.86 

.31 

.36 

.65 

39.62 

.21 

63.11 

.25 

90.37 

.28 

120.19 

.30 

151.25 

.31 

182.17 

.30 

.35 

.66 

39.83 

.21 

63.36 

.26 

90.65 

.29 

120.49 

.31 

151.56 

.31 

182.47 

.30 

.34 

.67 

40.04 

.21 

63.62 

.26 

90.94 

.29 

120.80 

.30 

151.87 

.31 

182.77 

.31 

.33 

.68 

40.25 

.22 

63.88 

.25 

91.23 

.29 

121.10 

.31 

152.18 

.32 

183.08 

.30 

.32 

.69 

40.47 

.21 

64.13 

.26 

91.52 

.29 

121.41 

.31 

152.50 

.31 

183.38 

.30 

.31 

.70 

40.68 

.21 

64.39 

.26 

91.81 

.29 

121.72 

.30 

152.81 

.31 

183.68 

.30 

.30 

.71 

40.89 

.22 

64.65 

.26 

92.10 

.29 

122.03 

.30 

153.12 

.31 

183.98 

.30 

.    .29 

.72 

41.11 

.21 

64.91 

.25 

92.39 

.29 

122.33 

.31 

153.43 

.31 

184.28 

,    .31 

.28 

.73 

41.32 

.22 

65.16 

.26 

92.68 

.29 

122.64 

.31 

153.74 

.32 

184.59 

.30 

.27 

.74 

41.54 

.22 

65.42 

.26 

92.97 

.29 

122.95 

.31 

154.06 

.31 

184.89 

.30 

.26 

.75 

41.76 

.21 

65.68 

.26 

93.26 

.29 

123.26 

.31 

154.37 

.31 

185.19 

.30 

.25 

.76 

41^7 

.22 

65.94 

.26 

93.55 

.29 

123.57 

.30 

154.68 

.31 

185.49 

.30 

.24 

.77 

42^9 

.22 

66.20 

.26 

93.84 

.29 

123.87 

.31 

154.99 

.31 

185.79 

.31 

.23 

.78 

42.41 

.22 

66.46 

.26 

94.13 

.29 

124.18 

.31 

155.30 

.32 

186.10 

.30 

.22 

.79 

42.63 

.22 

66.72 

.26 

94.42 

.29 

124.49 

.31 

155.62 

.31 

186.40 

.30 

.21 

.80 

42.85 

.22 

66.98 

.26 

94.71 

.29 

124.80 

.31 

155.93 

.31 

186.70 

.30 

.20 

.81 

43.07 

.22 

67.24 

.26 

95.00 

.29 

125.11 

.31 

156.24 

.31 

187.00 

.30 

.19 

.82 

43.29 

.22 

67.50 

.26 

95.29 

.29 

125.42 

.31 

156.55 

.31 

187.30 

.30 

.18 

.83 

43.51 

.22 

67.76 

.27 

95.58 

.29 

125.73 

.30 

156.86 

.31 

187.60 

.30 

.17 

.84 

43.73 

.23 

68.03 

.26 

95.87 

.29 

126.03 

.31 

157.17 

.32 

187.90 

.30 

.16 

.85 

43.96 

.22 

68.29 

.26 

96.16 

.30 

126.34 

.31 

157.49 

.31 

188.20 

.30 

.15 

.86 

44.18 

.22 

68.55 

.27 

96.46 

.29 

126.65 

.31 

157.80 

.31 

18850 

.30 

.14 

.87 

44.40 

.22 

68.82 

.26 

96.75 

.29 

126.96 

.31 

158.11 

.31 

188.80 

.30 

.13 

.88 

44.62 

.23 

69.08 

.26 

97.04 

.30 

127.27 

.31 

158.42 

.31 

189.10 

.30 

.12 

.89 

44.85 

.22 

69.34 

.27 

97.34 

.29 

127.58 

.31 

158.73 

.31 

189.40 

.30 

.11 

.90 

45.07 

.22 

69.61 

.27 

97.63 

.29 

127.89 

.31 

159.04 

.31 

189.70 

.30 

.10 

.91 

45.29 

.22 

69.88 

.26 

97.92 

.30 

128.20 

.31 

159.35 

.31 

190.00 

.30 

.09 

.92 

45.51 

.23 

70.14 

.27 

98.22 

.29 

128.51 

.31 

159.66 

.32 

190.30 

.30 

.08 

.93 

45.74 

.22 

70.41 

.27 

98.51 

.30 

128.82 

.31 

159.98 

.31 

190.60 

.30 

.07 

.94 

45.96 

.23 

70.68 

.26 

98.81 

.29 

129.13 

.31 

160.29 

.31 

190.90 

.30 

.06 

.95 

46.19 

.22 

70.94 

.27 

99.10 

.30 

129.44 

.31 

160.60 

.31 

191.20 

.29 

.05 

.96 

46.41 

.23 

71.21 

.27 

99.40 

.29 

129.75 

.31 

160.91 

.31 

191.49 

.30 

.04 

.97 

46.64 

.23 

71.48 

.26 

99.69 

.30 

130.06 

.31 

161.22 

.31 

191.79 

.30 

.03 

.98 

46.87 

.23 

71.74 

.27 

99.99 

.29 

130.37 

.31 

161.53 

.31 

192.09 

.30 

.02 

.99 

47.10 

.23 

72.01 

.27 

100.28 

.30 

130.68 

.31 

L61.84 

.31 

192.39 

.30 

.01 

1.00 

47.33 

.23 

72.28 

.27 

100.58 

.29 

130.99 

.31 

162.15 

.31 

192.69 

.30 

.00 

Days.           26 

25 

24 

23 

22 

21       Days. 

161 


TABLE  XIV     ARGUMENT  9. 


Equation  =  148  '.1  [1  -f  sin.  (x  —  z)] 
Period,  29.802826  days. 


Days.             9 

10 

11 

13 

13 

14       Days. 

DerinuU 
of  a  liny 

ll(U.ilMU. 

Diff. 

Equation. 

nut: 

Equation. 

Diir. 

Equation. 

Diti: 

KqiUlkm. 

Diir. 

Equation. 

DifT 

1  'ri'im.i 

nfa  Day 

.00 

192.69 

.30 

221.26 

.27 

246.59 

.23 

267.56 

.18 

283.23 

.13 

892.92 

.06 

1.00 

.01 

192.99 

.29 

221.53 

.27 

246.82 

.24 

267.74 

.19 

283.36 

.13 

292.98 

.07 

.99 

.02 

193.28 

.30 

221.80 

.27 

247.06 

.23 

267.93 

.18 

283.49 

.13 

293.05 

.06 

.98 

.03 

193.5S 

.30 

222.07 

.27 

247.29 

.23 

268.11 

.18 

283.62 

.12 

293.11 

.06 

.97 

.04 

193.88 

.29 

222.34 

.27 

247.52 

.23 

268.29 

.18 

283.74 

.13 

293.17 

.07 

.96 

.05 

194.17 

.30 

222.61 

.27 

247.75 

.23 

268.47 

.19 

283.87 

.12 

293.24 

.06 

.95 

.06 

191,17 

.30 

222.88 

.27 

247.98 

.23 

268.66 

.18 

283.99 

.13 

293.30 

.06 

.94 

.07 

191.77 

.29 

223.15 

.27 

248.21 

.23 

268.84 

.18 

284.12 

.12 

293.36 

.06 

.93 

.08 

19506 

.30 

223.42 

.27 

248.44 

.23 

269.02 

.18 

284.24 

.12 

293.42 

.06 

.92 

.09 

195.36 

.30 

223.69 

.27 

248.67 

.23 

269.20 

.18 

284.36 

.12 

293.48 

.06 

.91 

.10 

195.66 

.30 

223.96 

.27 

248.90 

.23 

269.38 

.18 

284.48 

.12 

293.54 

.06 

.90 

.11 

195.96 

.29 

224.23 

.27 

249.13 

.23 

269.56 

.18 

281.00 

.12 

293.60 

.06 

.89 

.12 

196.25 

.30 

224.50 

.26 

249.36 

.22 

269.74 

.18 

284.72 

.12 

293.66 

.06 

.88 

.13 

196.55 

.29 

224.76 

.27 

249.58 

.23 

269.92 

.17 

284.84 

.12 

293.72 

.05 

.87 

.14 

196.84 

.30 

225.03 

.27 

249.81 

.23 

270.09 

.18 

284.96 

.12 

293.77 

.06 

.86 

.15 

197.14 

.29 

225.30 

.26 

250.04 

.22 

270.27 

.18 

285.08 

.12 

293.83 

.06 

.85 

.16 

197.43 

.30 

225.56 

.27 

250.26 

.23 

270.45 

.17 

285.20 

.12 

293.89 

.05 

.84 

.17 

197.73 

.29 

225.83 

.27 

250.49 

.22 

270.62 

.18 

285.32 

.11 

2!>:i.!»l 

.06 

.83 

.18 

198.02 

.30 

226.10 

.26 

250.71 

.23 

270.80 

.17 

285.43 

.12 

294.00 

.05 

.82 

.19 

198.32 

.29 

226.36 

.27 

250.94 

.22 

270.97 

.17 

285.55 

.12 

294.05 

.05 

.81 

.20 

198.61 

.29 

226.63 

.26 

251.16 

.22 

271.14 

.17 

285.67 

.11 

294.10 

.05 

.80 

.21 

198.90 

.30 

226.89 

.27 

251.38 

.23 

271.31 

.17 

285.78 

.12 

294.15 

.05 

.79 

.22 

199.20 

.29 

227.16 

.26 

861.61 

.22 

271.48 

.18 

285.90 

.11 

294.20 

.05 

.78 

.23 

199.49 

.29 

227.42 

.26 

251.83 

.22 

271.66 

.17 

J286.01 

.12 

294.25 

.05 

.77 

.24 

199.78 

.30 

227.68 

.27 

252.05 

.22 

271.83 

.17 

286.13 

.11 

294.30 

.05 

.76 

.25 

200.08 

.29 

227.95 

.26 

252.27 

.23 

272.00 

.17 

286.24 

.11 

294.35 

.05 

.75 

.26 

200.37 

.29 

22821 

.26 

252.50 

.22 

272.17 

.17 

286.35 

.12 

294.40 

.05 

.74 

.27 

200.66 

.29 

228.47 

.27 

252.72 

.22 

272.34 

.17 

286.47 

.11 

294.45 

.05 

.73 

.28 

200.95 

.29 

228.74 

.26 

252.94 

.22 

272.51 

.17 

286.58 

.11 

294.50 

.04 

.72 

.29 

201.24 

.29 

229.00 

.26 

253.16 

.22 

272.68 

.17 

286.69 

.11 

294.54 

.05 

.71 

.30 

201.53 

.29 

229.26 

.26 

253.38 

.22 

272.85 

.17 

286.80 

.11 

294.59 

.05 

.70 

.31 

201.82 

.29 

229.52 

.26 

253.60 

.22 

273.02 

.17 

286.91 

.11 

294.64 

.01 

.69 

.32 

202.11 

.29 

229.781     .26 

253.82 

.22 

273.19 

.17 

287.02 

.11 

294.68 

.05 

.68 

..13 

202.40 

.29 

230.0  1 

.26 

354.04 

.21 

273.36 

.16 

287.13 

.10 

294.73 

.04 

.67 

.34 

202.69 

.29 

230.30 

.26 

254.25 

.22 

273.52 

.17 

287.23 

.11 

294.77 

.01 

.66 

.35 

202.98 

.29 

230.56 

.26 

254.47 

.22 

273.69 

.16 

287.34 

.11 

294.81 

.05 

.65 

J8 

203.27 

.29 

230.82 

.26 

354.69 

.21 

273.85 

.17 

287.45 

.10 

294.86 

.01 

.64 

.37 

203.56 

.29 

231.08 

.25 

35496 

.22 

274.02 

.16 

287.55      .11 

294.90 

.01 

.63 

.38 

203.85 

.29 

231.33 

.26 

355.19 

.21 

271.18 

.16 

287.66 

.10 

294.94 

.04 

.62 

.39 

204.14 

.29 

231.59 

.26 

255.33 

.22 

274.34 

.16 

287.76 

.10 

294.98 

.01 

.61 

.40 

204.43 

.29 

231.85 

.26 

255.55 

.21 

274.50 

.16 

287.86 

.10 

295.02 

.01 

.60 

.41 

204.72 

.29 

232.11 

.25 

255.76 

.21 

274.66 

.16 

287.96 

.10 

395.06 

.04 

.59 

.42 

205.01 

.29 

383.86 

.26 

255.97 

.22 

27  1.82 

.16 

988.08 

.10 

ii!).").  10 

.01 

.58 

.43 

205.30 

.28 

232.62 

.25 

356.19 

.21 

271.98 

.16 

388.16 

.10 

395.14 

.03 

.57 

.44 

205.58 

.29 

232.87 

.26 

256.40 

.21 

375.M 

.16 

288.26 

.10 

295.17 

.04 

.56 

.45 

205.87 

.29 

233.13 

.25 

256.61 

.21 

275.30 

.16 

288.36 

.10 

295.21 

.04 

.55 

.46 

206.16 

.29 

388.86 

.26 

256.82 

.22 

275.46 

.16 

388  n; 

.10 

395.35 

.03 

.54 

.47 

201;  I.-. 

.28 

388.64 

.25 

257.01 

.21 

275.62 

.16 

288  56 

.10 

395.28 

.04 

.53 

M 

986.78 

48 

388.89 

.96 

257.25 

.21 

275.78 

.16 

388.66 

.10 

295.32 

.08 

.52 

.1!) 

207.02 

.29 

384.10 

.86 

357.46 

.21 

275.94 

.16 

288.76 

.10 

395.35 

.03 

.51 

.50 

307.81 

.29 

234.40 

.25 

257.67 

.21 

276.10 

.16 

288.86 

.10 

295.38 

.03 

.50 

Days.          90 

19 

18 

IT 

16 

IS       Days. 

162 


TABLE  XIV.    ARGUMENT  9. 

Equation  =  148".l  [1 -f  sin.  (x  —  z)]. 
Period,  29.802826  days. 


Days.            9 

IO 

11 

12 

18 

14       Days. 

ttcinrala 

fit    II.IV. 

Equation. 

Diff. 

Equation. 

Diff 

Equation. 

DilT 

Equation. 

Ditr. 

Equation. 

Diff 

Equation. 

Diff 

lecimals 
fa  Day 

.50 

207.31 

.29 

234.40 

.25 

257.67 

.21 

276.10 

.16 

288.86 

.10 

295.38 

.03 

.50 

.51 

207.60 

.28 

234.65 

.26 

257.88 

.21 

276.26 

.16 

288.96 

.10 

295.41 

.03 

.49 

.52 

207.88 

.29 

234.91 

.25 

258.09 

.21 

276.42 

.15 

289.06 

.09 

295.44 

.03 

.48 

.53 

208.17 

.28 

235.16 

.25 

258.30 

.21 

276.57 

.16 

289.15 

.09 

295.47 

.03 

.47 

.54 

208.45 

.29 

235.41 

.25 

258.51 

.20 

276.73 

.15 

289.24 

.10 

295.50 

.03 

.46 

.55 

208.74 

.28 

235.66 

.26 

258.71 

.21 

276.88 

.15 

289.34 

.09 

295.53 

.03 

.45 

.56 

209.02 

.29 

235.92 

.25 

258.92 

.21 

277.04 

.15 

289.43 

.10 

295.56 

.03 

.44 

.57 

209.31 

.28 

236.17 

.25 

259.13 

.21 

277.19 

.15 

289.53 

.09 

295.59 

.03 

.43 

.58 

209.59 

.29 

236.42 

.25 

259.34 

.20 

277.34 

.15 

289.62 

.09 

295.62 

.03 

.42 

.59 

209.88 

.28 

236.67 

.25 

259.54 

.21 

277.49 

.15 

289.71 

.09 

295.65 

.03 

.41 

.60 

210.16 

.28 

236.92 

.25 

259.75 

.21 

277.64 

.15 

289.80 

.09 

295.68 

.03 

.40 

.61 

210.44 

.29 

237.17 

.25 

259.96 

.20 

277.79 

.15 

289.89 

.09 

295.71 

.02 

.39 

.62 

210.73 

.28 

237.42 

.25 

260.16 

.21 

277.94 

.15 

289.98 

.09 

295.73 

.03 

.38 

.63 

211.01 

.28 

237.67 

.25 

260.37 

.20 

278.09 

.15 

290.07 

.09 

295.76 

.02 

.37 

.64 

211.29 

.28 

237.92 

.24 

260.57 

.21 

278.24 

.15 

290.16 

.09 

295.78 

.02 

.36 

.65 

211.57 

.29 

238.16 

.25 

260.78 

.20 

278.39 

.15 

290.25 

.08 

295.80 

.03 

.35 

.66 

211.86 

.28 

238.41 

.25 

260.98 

.20 

278.54 

.15 

290.33 

.09 

295.83 

.02 

.34 

.67 

212.14 

.2*8 

238.66 

.25 

261.18 

.20 

278.69 

.14 

290.42 

.09 

295.85 

.02 

.33 

.68 

212.42 

.28 

238.91 

.24 

261.38 

.20 

278.83 

.15 

290.51 

.08 

295.87 

.02 

.32 

.69 

212.70 

.28 

239.15 

.25 

261.58 

.20 

278.98 

.15 

290.59 

.09 

295.89 

.02 

.31 

.70 

212.98 

.28 

239.40 

.25 

261.78 

.20 

279.13 

.15 

290.68 

.08 

295.91 

.02 

.30 

.71 

213.26 

.28 

239.65 

.24 

261.98 

.20 

279.28 

.14 

290.76 

.08 

295.93 

.02 

.29 

.72 

213.54 

.28 

239.89 

.25 

262.18 

.20 

279.42 

.15 

290.84 

.09 

395.95 

.02 

.28 

.73 

213.82 

.28 

240.14 

.25 

262*38 

.20 

279.57 

.15 

290.93 

.08 

295.97 

.02 

.27 

.74 

214.10 

.28 

240.39 

.24 

262.58 

.20 

279.72 

.14 

291.01 

.08 

295.99 

.01 

.26 

.75 

214.38 

.28 

240.63 

.25 

262.78 

.19 

279.86 

.14 

291.09 

.08 

296.00 

.02 

.25 

.76 

21  1.66 

.27 

240.88 

.24 

262.97 

.20 

280.00 

.14 

291.17 

.08 

296.02 

.01 

.24 

.77 

211.93 

.28 

241.12 

.24 

263.17 

.20 

280.14 

.14 

291.25 

.08 

296.03 

.02 

.23 

.78 

215.21 

.28 

241.36 

.24 

263.37 

.19 

280.28 

.14 

291.33 

.08 

296.05 

.01 

.22 

.79 

215.49 

.28 

241.60 

.24 

263.56 

.20 

280.42 

.14 

291.41 

.08 

296.06 

.01 

.21 

.80 

215.77 

.28 

241.84 

.24 

263.76 

.20 

280.56 

.14 

291.49 

.08 

296.07 

.01 

.20 

.81 

216.05 

.27 

242.08 

.24 

263.96 

.19 

280.70 

.14 

291.57 

.08 

296.08 

.01 

.19 

.82 

216.32 

.28 

242.32 

.24 

264.15 

.20 

280.84 

.14 

291.65 

.07 

296.09 

.01 

.18 

.83 

216.60 

.28 

242.56 

.24 

264.35 

.19 

280.98 

.14 

291.72 

.08 

296.10 

.01 

.17 

.84 

216.88 

.27 

242.80 

.24 

264.54 

.19 

281.12 

.13 

291.80 

.08 

296.11 

.01 

.16 

.85 

217.15 

.28 

243.04 

.24 

264.73 

.20 

281.25 

.14 

291.88 

.07 

296.12 

.01 

.15 

.86 

217.43 

.27 

243.28 

.24 

264.93 

.19 

281.39 

.13 

291.95 

.08 

296.13 

.01 

.14 

.87 

217.70 

.28 

243.52 

.24 

265.12 

.19 

281.52 

.14 

292.03 

.07 

296.14 

.00 

.13 

.88 

217.98 

.27 

243.76 

.24 

265.31 

.19 

281.66 

.13 

292.10 

.07 

296.14 

.01 

.12 

.89 

218.25 

.28 

244.00 

.24 

265.50 

.19 

281.79 

.13 

292.17 

.07 

296.15 

.01 

.11 

.90 

218.53 

.27 

244.24 

.24 

265.69 

.19 

281.92 

.13 

292.24 

.07 

296.16 

.00 

.10 

.91 

218.80 

.28 

244.48 

.24 

265.8S 

.19 

282.05 

.13 

292.31 

.07 

296.16 

.01 

.09 

.92 

219.08      .27 

244.72 

.23 

266.07 

.19 

282.18 

.14 

292.38 

.07 

296.17 

.01 

.08 

.93 

219.35      .27 

244.95 

.24 

266.26 

.19 

282.32 

.13 

292.45 

.07 

296.18 

.00 

.07 

.94 

219.62 

.28 

245.19 

.23 

266.45 

.19 

282.45 

.13 

292.52 

.07 

296.18 

.01 

.06 

.95 

219.90 

.27 

245.42 

.24 

266.64 

.19 

282.58 

.13 

292.59 

.07 

296.19 

.00 

.05 

.96 

220.17      .27 

245.66 

.23 

266.83 

.18 

282.71 

.13 

292.66 

.06 

296.19 

.01 

.04 

.97 

220.44      .28 

245.89      .24 

267.01 

.18 

282.84 

.13 

292.72 

.07 

296.20 

.00 

.03 

.98 

220.72      .27 

246.13      .23 

267.19 

.19 

282.97 

.13 

292.79 

.07 

296.20 

.00 

.02 

.99 

220.99      .27 

246.36      .23 

267.38 

.18 

283.10 

.13 

292.86 

.06 

296.20 

.00 

.01 

1.00 

221.26      .27 

246.591     .23 

267.56 

.18 

283.23 

.13 

292.92 

.06 

296.20 

.00 

.00 

Days.           2O 

19 

IS 

17 

16 

15       Days. 

163 


TABLE  XV.    ARGUMENT  10. 

Equation  =  110".0  [1  —  sin.  (x  +  t)]. 
Period,  25.621696  days. 


Days.              O 

1 

3 

3 

4 

.»        Days. 

I'-Viuu 
of  a  Day 

Equation. 

Diff. 

EquiUiui), 

DI  ir. 

Equation. 

DUE 

Bquiiiwi. 

niir. 

Equation. 

Diff. 

Equation. 

Diff. 

Decimal* 

•1    ,1    lliU 

a 

a 

tt 

.00 

219.88 

.01 

217.84 

.05 

209.32 

.12 

194.88 

.17 

175.36 

.22 

151.92 

.25 

1.00 

.01 

219.89 

.01 

217.79 

.06 

209.20 

.11 

194.71 

.17 

175.14 

.22 

151.67 

.'<""> 

.99 

.02 

219.90 

.01 

217.73 

.05 

209.09 

.12 

194.54 

.17 

174.92 

.22 

151.42 

.25 

.98 

.03 

219.91 

.01 

217.68 

.06 

208.97 

.12 

194.37 

.17 

174.70 

.21 

151.17 

.25 

.97 

.04 

219.92 

.01 

217.62 

.06 

208.85 

.12 

194.20 

.18 

174.49 

.22 

150.92 

.25 

.96 

.05 

219.93 

.01 

217.56 

.05 

208.73 

.12 

194.02 

.17 

174.27 

.22 

150.67 

.25 

.95 

.06 

219.94 

.01 

217.51 

.06 

208.61 

.12 

193.85 

.18 

174.05 

.22 

150.42 

.26 

.91 

.07 

219.95 

.01 

217.45 

.06 

208.49 

.12 

193.67 

.18 

173.83 

.22 

150.16 

.25 

.<)!! 

.08 

219.96 

.01 

217.39 

.06 

208.37 

.12 

193.49 

.18 

173.61 

.22 

149.91 

.25 

.92 

.09 

219.97 

.01 

217.33 

.06 

208.25 

.12 

193.31 

.18 

173.39 

.22 

149.66 

.25 

.91 

.10 

219.98 

.00 

217.27 

.06 

208.13 

.12 

193.13 

.17 

173.17 

.22 

149.41 

.25 

.90 

.11 

219.98 

.01 

217.21 

.06 

208.01 

.12 

192.96 

.18 

172.95 

.22 

149.16 

.26 

.89 

.12 

219.99 

.00 

217.15 

.06 

207.89 

.12 

192.78 

.18 

172.73 

.23 

148.90 

.25 

.88 

.13 

219.99 

.00 

217.09 

.06 

207.77 

.12 

192.60 

.18 

172.50 

.22 

148.65 

.25 

.87 

.14 

219.99 

.01 

217.03 

.07 

207.65 

.13 

192.42 

.18 

172.28 

.22 

148.40 

.2(i 

.86 

.15 

220.00 

.00 

216.96 

.06 

207.52 

.12 

192.24 

.18 

172.06 

.23 

148.14 

.25 

.85 

.16 

220.00 

.00 

216.90 

.06 

207.40 

.13 

192.06 

.18 

171.83 

.22 

147.89 

.25 

.84 

.17 

220.00 

.00 

216.84 

.07 

207.27 

.12 

191.88 

.18 

171.61 

.22 

'147.64 

.20 

.N.-} 

.18 

220.00 

.00 

216.77 

.06 

207.15 

.13 

191.70 

.18 

171.39 

.23 

147.38 

.-.>:> 

.82 

.19 

220.00 

.00 

216.71 

.07 

207.02 

.13 

191.52 

.18 

171.16 

.22 

147.13 

.25 

.81 

.20 

220.00 

.00 

216.64 

.07 

206.89 

.13 

191.34 

.18 

170.94 

.22 

146.88 

.26 

.80 

.21 

220.00 

.00 

216.57 

.07 

206.76 

.13 

191.16 

.18 

170.72 

.23 

146.62 

.25 

.79 

.22 

220.00 

.00 

216.50 

.07 

206.63 

.13 

190.98 

.18 

170.49 

.22 

146.37 

.25 

.78 

.23 

220.00 

.00 

216.43 

.07 

20650 

.13 

190.80 

.18 

170.27 

.23 

146.12 

.26 

.77 

.21 

220.00 

.01 

216.36 

.07 

206.37 

.13 

190.62 

.19 

170.04 

.22 

145.86 

.25 

.76 

.25 

219.99 

.00 

216.29 

.07 

206.24 

.13 

190.43 

.18 

169.82 

.23 

145.61 

.25 

.75 

.26 

219.99 

.01 

216.22 

.07 

206.11 

.13 

190.25 

.18 

169.59 

.23 

145.36 

.26 

.74 

.27 

21998 

.00 

216.15 

.07 

205.98 

.13 

190.07 

.19 

109.86 

.22 

145.10 

.25 

.73 

.28 

219.98 

.01 

216.08 

.07 

205.85 

.13 

189.88 

.18 

169.14 

.23 

144.85 

.26 

.72 

.29 

219.97 

.01 

216.01 

.07 

205.72 

.13 

189.70 

.19 

168.91 

.23 

144.59 

.25 

.71 

.30 

219.96 

.01 

215.94 

.07 

205.59 

.13 

189.51 

.18 

168.68 

.23 

144.34 

.26 

.70 

.31 

219.95 

.01 

215.87 

.07 

205.46 

.13 

189.33 

.19 

168.45 

.23 

144.08 

.25 

.69 

.32 

219.94 

.01 

215.80 

.08 

205.33 

.14 

189.14 

.19 

168.22 

.23 

143.83 

.26 

.68 

.33 

219.93 

.01 

215.72 

.07 

205.19 

.13 

188.95 

.18 

167.99 

.23 

143.57 

.26 

.67 

.34 

219.92 

.01 

215.65 

.08 

205.06 

.14 

188.77 

.19 

167.76 

.23 

143.31 

.25 

.66 

.35 

219.91 

.01 

215.57 

.07 

204.92 

.13 

\88M 

.19 

167.53 

.23 

143.06 

.26 

.65 

.36 

219.90 

.01 

215.50 

.ON 

201.79 

.14 

L88J8 

.19 

167.30 

.23 

14280 

.26 

.(it 

.37 

219.89 

.01 

315.49 

.08 

904.65 

.11 

[86.90 

.19 

167.07 

M 

142.54 

.25 

48 

.38 

219.88 

.02 

215.34 

.08 

204.51 

.14 

188.01 

.19 

166.81 

.23 

1  r».29 

£6 

.62 

.39 

219.86 

.01 

215.26 

.08 

204.37 

.14 

187.82 

.19 

166.61 

.23 

142.03 

.26 

.61 

.40 

219.85 

.02 

215.18 

.08 

201.23 

.14 

187.63 

19 

166.38 

M 

141.77 

.26 

.60 

.41 

219.83 

.01 

815.10 

.08 

201.09 

.11 

187.44 

.19 

166.15 

.2:t 

141.51 

.26 

.59 

.42 

219.82 

.02 

215.02 

.08 

203.96 

.11 

187.25 

.19 

LC5.99 

:2\ 

141.25 

£5 

.58 

.43 

219.HO 

.01 

214.94 

joe 

208.81 

.11 

187.06 

.20 

165.68 

.2:t 

141.00 

M 

.57 

.41 

219.79 

.02 

211.86 

.OS 

208.87 

.14 

186.86 

.19 

165.45 

.ii:t 

140.71 

.26 

.56 

.45 

219.77 

.01 

214.78 

.08 

•08.51 

.It 

186.67 

.19 

165.22 

.24 

140.48 

.26 

.55 

.4f> 

219.76 

.02 

214.70 

.09 

208.89 

45 

186.48 

.20 

164.98 

.23 

140.22 

.26 

.51 

.47 

219.74 

.02 

214.61 

.08 

203.24 

.11 

186.28 

.1!) 

Hi  1.75 

.'-.»:( 

139  .M 

.26 

.53 

.48 

219.72 

.02 

214.58 

.09 

208.10 

.15 

186.00 

.20 

164.52 

.21 

189.70 

.26 

.52 

.49 

21  !).?() 

.02 

214.44 

.08 

202.95 

.14 

IS5.M 

.19 

164.28 

aa 

189.44 

.26 

.51 

.50 

219.6S 

.02 

214.36 

.09 

202.81 

.15 

185.70 

.20 

164.05 

.24 

139.18 

.26 

.:->() 

Days.           35 

34 

33 

33 

31 

3O       Days. 

164 


TABLE  XV.    ARGUMENT  1O. 

Equation  =  110".0  [1  —  sin.  (s  +  z)]. 
Period,  25.621696  days. 


Days.              O 

1 

2 

3 

4 

5        Days. 

Decimal*! 

ol'ii  Day 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Decimals 
if  a  Day. 

_ 

J 

u 

n 

H 

• 

.50 

219.68 

.02 

214.36 

.09 

202.81 

.15 

185.70 

.20 

164.05 

.24 

139.18 

.26 

.50 

.51 

219.66 

.02 

214.27 

.08 

202.66 

.14 

185.50 

.19 

163.81 

.23 

138.92 

.26 

.49 

.52 

219.64 

.02 

214.19 

.09 

202.52 

.15 

185.31 

.20 

163.58 

.24 

138.66 

.26 

.48 

.53 

219.62 

.02 

214.10 

.09 

202.37 

.14 

185.11 

.20 

163.34 

.24 

138.40 

.26 

.47 

.54 

219.60 

.03 

214.01 

.08 

202.23 

.15 

184.91 

.19 

163.10 

.23 

138.14 

.26 

.46 

.55 

219.57 

.02 

213.93 

.09 

202.08 

.15 

184.72 

.20 

162.87 

.24 

137.88 

.26 

.45 

.56 

219.55 

.03 

213.84 

.09 

201.93 

.15 

184.52 

.20 

162.63 

.24 

137.62 

.26 

.44 

.57 

219.52 

.02 

213.75 

.OJ 

201.78 

.15 

184.32 

.20 

162.39 

.23 

137.36 

.27 

.43 

.58 

219.50 

.03 

213.66 

.09 

201.63 

.15 

184.12 

.20 

162.16 

.24 

137.09 

.26 

.42 

.59 

219.47 

.03 

213.57 

.09 

201.48 

.15 

183.92 

.20 

161.92 

.24 

136.83 

.26 

.41 

.60 

219.44 

.03 

213.48 

.09 

201.33 

.15 

183.72 

.20 

161.68 

.24 

136.57 

.26 

.40 

.61 

219.41 

.03 

213.39 

.09 

201.18 

.15 

183.52 

.20 

161.44 

.24 

136.31 

.27 

.39 

.62 

219.38 

.03 

213.30 

.09 

201.03 

.15 

183.32 

.20 

161.20 

.24 

136.04 

.26 

.38 

.63 

219.35 

.03 

213.21 

.09 

200.88 

.15 

183.12 

.21 

160.96 

.24 

135.78 

.26 

.37 

.64 

219.32 

.03 

213.12 

.10 

200.73 

.15 

182.91 

.20 

160.72 

.24 

135.52 

.27 

.36 

.65 

219.29 

.03 

213.02 

.09 

200.58 

.16 

182.71 

.20 

160.48 

.24 

135.25 

.26 

.35 

.66 

219.26 

.03 

212.93 

.10 

200.42 

.15 

182.51 

.21 

160.24 

.24 

134.99 

.26 

.34 

.67 

219.23 

.03 

212.83 

.09 

200.27 

.16 

182.30 

.20 

160.00 

.24 

134.73 

.27 

.33 

.68 

219.20 

.03 

212.74 

.10 

200.11 

.15 

182.10 

.21 

159.76 

.24 

134.46 

.26 

.32 

.69 

219.17 

.03 

212.64 

.10 

199.96 

.16 

181.89 

.20 

159.52 

.24 

134.20 

.26 

.31 

.70 

219.14 

.04 

212.54 

.10 

199.80 

.16 

181.69 

.21 

159.28 

.24 

133.94 

.27 

.30 

.71 

219.10 

.03 

212.44 

.10 

199.64 

.15 

181.48 

.20 

159.04 

.24 

133.67 

.26 

.29 

.72 

219.07 

.04 

212.34 

.10 

199.49 

.16 

181.28 

.21 

158.80 

.24 

133.41 

.27 

.28 

.73 

219.03 

.03 

212.24 

.10 

199.33 

.16 

181.07 

.21 

158.56 

.24 

133.14 

.26 

.27 

.74 

219.00 

.04 

212.14 

.10 

199.17 

.15 

180.86 

.20 

158.32 

.25 

132.88 

.27 

.26 

.75 

218.96 

.03 

212.04 

.10 

199.02 

.16 

180.66 

.21 

158.07 

.24 

132.61 

.2<> 

.25 

.76 

218.93 

.04 

211.91 

.10 

198,86 

.16 

180.45 

.21 

157.83 

.24 

132.:!5 

.27 

.24 

.77 

218.89 

.04 

211.84 

.11 

198.70 

.16 

180.24 

!20 

157.59 

.24 

132.08 

.26 

.23 

.78 

218.85 

.04 

211.73 

.10 

198.54 

.16 

180.04 

.21 

157.35 

.25 

131.82 

.27 

.22 

.79 

218.81 

.04 

211.63 

.10 

198.38 

.1G 

179.83 

.21 

157.10 

.24 

131.55 

.26 

.21 

.80 

218.77 

.04 

211.53 

.11 

198.22 

.16 

179.62 

.21 

156.86 

.24 

131.29 

.27 

.20 

.81 

218.73 

.04 

211.42 

.10 

198.06 

.16 

179.41 

.21 

156.62 

.25 

131.02 

.26 

.19 

.82 

218.69 

.04 

211.32 

.11 

197.90 

.16 

179.20 

.21 

156.37 

.21 

130.76 

.27 

.18 

.83 

218.65 

.04 

211.21 

.10 

197.74 

.16 

178.99 

.21 

156.13 

.25 

130.49 

.26 

.17 

.84 

218.61 

.04 

211.11 

.11 

197.58 

.17 

178.78 

.21 

155.88 

.24 

130.23 

.27 

.16 

.85 

218.57 

.05 

211.00 

.11 

197.41 

.16 

178.57 

.21 

155.64 

.25 

129.96 

.26 

.15 

.86 

218.52 

.04 

210.89 

.10 

197.25 

.17 

178.36 

.21 

155.39 

.24 

129.70 

.27 

.14 

.87 

218.48 

.05 

210.79 

.11 

197.08 

.16 

178.15 

.22 

155.15 

.25 

129.43 

.26 

.13 

.88 

218.43 

.04 

210.68 

.11 

196.92 

.17 

177.93 

.21 

154.90 

.24 

129.17 

.27 

.12 

.89 

218.39 

.05 

210.57 

.11 

196.75 

.17 

177.72 

.21 

154.66 

.25 

128.90 

.26 

.11 

.90 

218.34 

.05 

210.46 

.11 

196.58 

.17 

177.51 

.22 

154.41 

.25 

128.64 

.27 

.10 

.91 

218.29 

.05 

210.35 

.11 

196.41 

.17 

177.29 

.21 

154.16 

.25 

128.37 

.26 

.09 

.92 

218.24 

.05 

210.24 

.11 

196.24 

.17 

177.08 

.22 

153.91 

.24 

128.  1  1 

.27 

.08 

.93 

218.19 

.05 

210.13 

.11 

196.07 

.17 

176.86 

.21 

153.67 

.25 

127.84 

.26 

.07 

.94 

218.14 

.05 

210.02 

.12 

195.90 

.17 

176.65 

.22 

153.42 

.25 

127.58 

.27 

.06 

.95 

218.09 

.05 

209.90 

.11 

195.73 

.17 

176.43 

.21 

153.17 

.25 

127.31 

.27 

.05 

.96 

218.04 

.05 

209.79 

.12 

195.56 

.17 

176.22 

.22 

152.92 

.25 

127.04 

.26 

.04 

.97 

217.99 

.05 

209.67 

.11 

19539 

.17 

176.00 

.21 

152.67 

.25 

126.78 

.27 

.03 

.98 

217.94 

.05 

209.56 

.12 

195.22 

.17 

175.79 

.22 

152.42 

.25 

126.51 

.27 

.02 

.99 

217.89 

.05 

209.44 

.12 

195.05 

.17 

175.57 

.21 

152.17 

.25 

126.24 

.26 

.01 

1.00 

217.84 

.05 

209.32 

.12 

194.88 

.17 

175.36 

.22 

151.92 

.25 

125.98 

.27 

.00 

Days.           23 

S4 

28 

22 

21 

2O       Days. 

165 


TABLE  XV.    ARGUMENT  10. 

Equation  =  110".0  [1  — sin.  (x  +  z)]. 
Period,  25.621696  days. 


Days.           6 

7 

8 

9 

10 

11 

12     Days. 

Decimal 

of  a  |)K> 

Ki{iialiou. 

Diff 

E-iu.it  ion. 

Diflr. 

K  ni,tli,>;i. 

i),ir 

Equation. 

Ditr 

K  JM   ll!"ll 

Diff 

Equation 

Diff 

IvjM.il  i»n. 

Ditr 

>!  .1   I'll 

.00 

125.98 

.27 

99.08 

.27 

72.84 

.25 

48.81 

.22 

2S.  |f 

.18 

12.9 

.13 

3.2!: 

.0 

1.00 

.01 

125.71 

.26 

98.81 

.27 

72.59 

.26 

48.59 

.23 

28.27 

.18 

12.  s 

.12 

3.2: 

.07 

.99 

.02 

125.48 

.27 

98.54 

.27 

72.33 

.25 

48.36 

.2- 

28.09 

.18 

12.7- 

.12 

3.1 

.or 

.98 

.03 

125.18 

.27 

98.27 

.27 

72.08 

.25 

48.14 

.22 

27.91 

.18 

12.60 

.13 

3.  1C 

.07 

.97 

.04 

124.91 

.26 

98.00 

.26 

71.83 

.26 

47.92 

.23 

27.73 

.17 

12.47 

.12 

3.0J 

.06 

.90 

.05 

124.65 

.27 

97.74 

.27 

71.57 

.25 

47.69 

.22 

27.56 

.18 

12.35 

.12 

2.97 

.06 

.95 

.06 

124.38 

.27 

97.47 

.27 

71.32 

.25 

47.47 

.2'. 

27.38 

.18 

12.23 

.13 

2.9 

.06 

.94 

.07 

124.11 

.26 

97.20 

.27 

71.07 

.26 

47.25 

.23 

27.20 

.18 

12.10 

.12 

2.8! 

.or 

,93 

.08 

123.85 

.27 

96.93 

.26 

70.81 

.25 

47.02 

.22 

27.02 

.17 

11.98 

.12 

2.79 

.06 

.92 

.09 

123.58 

.27 

96.67 

.27 

70.56 

.25 

46.80 

.22 

26.85 

.18 

11.86 

.12 

2.73 

.06 

.91 

.10 

123.31 

.27 

96.40 

.27 

70.31 

.25 

46.58 

.22 

26.67 

.18 

11.74 

.12 

2.67 

.06 

.90 

.11 

123.04 

.26 

96.13 

.27 

70.06 

.25 

46.36 

.22 

26.41 

.17 

11.62 

.12 

2.6 

.Of 

.89 

.12 

122.78 

.27 

95.86 

.26 

69.81 

.25 

46.14 

.22 

26.32 

.18 

11.50 

.12 

2.55 

.06 

.88 

.13 

122.51 

.27 

95.60 

.27 

69.56 

.26 

45.92 

.22 

26.14 

.18 

11.38 

.12 

2.49 

.Of 

.87 

.14 

122.24 

.27 

95.33 

.27 

69.30 

.25 

45.70 

.22 

25.96 

.17 

11.26 

.12 

2.43 

.05 

.86 

.15 

121.97 

.27 

95.06 

.26 

69.05 

.25 

45.48 

,22 

25.79 

.17 

11.1 

.12 

2.38 

.Of 

.N5 

.16 

121.70 

.26 

94.80 

.27 

68.80 

.25 

45.26 

.21 

25.62 

.18 

11.02 

.12 

2.85 

.0: 

&4 

.17 

121.44 

.27 

94.53 

.27 

68.55 

.25 

45.05 

.22 

25.44 

.17 

10.90 

.11 

2.27 

.06 

.83 

.18 

121.17 

.27 

94.26 

.26 

68.30 

.25 

44.83 

.22 

25.27 

.17 

10.79 

.12 

2.21 

.or 

.82 

.19 

120.90 

.27 

94.00 

.27 

68.05 

.25 

44.61 

32 

25.10 

.17 

10.67 

.12 

2.16 

.05 

.SI 

.20 

120.63 

.27 

93.73 

.27 

67.80 

.25 

44.39 

.22 

24.93 

.17 

10.55 

.12 

2.11 

.05 

.so 

.21 

120.36 

.27 

93.46 

.26 

67.55 

.25 

44.17 

.21 

24.76 

.17 

10.43 

.11 

2.06 

.05 

.79 

.22 

120.09 

.26 

93.20 

.27 

67.30 

.25 

43.96 

.22 

24.59 

.17 

10.32 

.12 

2.01 

.05 

.78 

.23 

119.83 

.27 

92.93 

.27 

67.05 

34 

43.74 

.21 

21.12 

.17 

10.20 

.11 

1.9( 

.05 

.77 

.24 

119.56 

.27 

92.66 

.26 

66.81 

.25 

43.53 

.22 

24.25 

.17 

10.09 

.12 

1.91 

.05 

.76 

.25 

119.29 

.27 

92.40 

.27 

66.56 

.25 

43.31 

.21 

24.08 

.17 

9.97 

.11 

1.86 

.05 

.75 

.26 

119.02 

.27 

92.13 

S& 

66.81 

.25 

43.10 

.21 

23.91 

.17 

9.8f 

.11 

1.N1 

.05 

.74 

.27 

1  18.75 

.27 

91.87 

.27 

60.06 

.25 

42.89 

.22 

23.7  1 

.16 

9.75 

.11 

1.76 

.05 

.73 

.28 

11S.4S 

.27 

91.60 

.26 

65.81 

.24 

42.67 

.21 

23.58 

.17 

9.64 

.11 

1.71 

.01 

.72 

.29 

118.21 

.27 

91.34 

.27 

65.57 

.25 

42,46 

.21 

23.  1  1 

.17 

9.53 

.11 

1.67 

.05 

.71 

.30 

1  17.94 

.27 

91.07 

.27 

65.32 

.35 

42.25 

.21 

23.24 

.16 

9.42 

..11 

1.62 

.01 

.70 

.31 

117.67 

.27 

90.80 

.20 

65.07 

34 

42.04 

.21 

23.08 

.17 

9.81 

.11 

1.58 

.().-) 

.69 

.32 

117.40 

.26 

90.5  4 

.27 

64.83 

a& 

41.83 

.21 

2291 

.16 

9.20 

.11 

1.53 

.04 

.(is 

.3:t 

117.14 

.27 

90.27 

.26 

64.58 

.24 

41.62 

.21 

22.75 

.16 

9.09 

.11 

1.19 

.05 

.67 

.34 

116.87 

.27 

90.01 

.27 

64.34 

.25 

41.41 

.21 

22.59 

.17 

8.98 

.10 

1.44 

.04 

.66 

.35 

116.60 

.27 

89.74 

.27 

64.09 

.24 

41.20 

.21 

22.  12 

.16 

8.88 

.11 

1.40 

.05 

.05 

.36 

llfi.33    .27 

89.41 

.26 

63.85 

.25 

40.99 

.21 

22.2  0 

.16 

8.77 

.10 

1.85 

.01 

.64 

.37 

116.06 

.27 

89.21 

.27 

63.60 

.24 

40.78 

.21 

22.10 

.17 

8.67 

.11 

1.31 

.01 

.68 

.:{> 

115.79 

.27 

88.94 

.26 

63.86 

.25 

40.57 

.21 

21.93 

.16 

8.56 

.10 

1.27 

.01 

.62 

IB 

115.52 

.27 

88.68 

.27 

68.11 

.24 

40.36 

.21 

21.77 

.16 

8.46 

.10 

1.28 

.01 

.61 

.40 

1  1:  -,.-.-.-, 

.27 

88.41 

.26 

62.87 

.24 

40.15 

.21 

21.61 

.16 

8.86 

.10 

l.i'i 

.01 

.60 

.41 

114.96 

.27 

88.15 

.27 

62.63 

.25 

.'»!».!)  1 

.21 

21.45 

.16 

8.26 

.10 

1.15 

.01 

.59 

.42 

114.71 

.27 

87.88 

.26 

62.88 

.21 

89.78 

.21 

21.29 

.16 

N.IO 

.10 

l.ll 

.01 

.5s 

.l:i 

III.  II 

.27 

87.63 

.27 

02.  1  » 

.21 

89.52 

.20 

21.13 

.16 

8.00 

.10 

1.07 

.04 

.57 

.11 

111.17 

.27 

87.35 

£6 

61.90 

34 

89.83 

.21 

20.97 

.Hi 

7.96 

.10 

1.03 

.03 

.56 

.45 

113.90 

.27 

87.09 

.26 

61.66 

.25 

39.11 

.21 

20.81 

.15 

7.86 

.10 

1.00 

.01 

.55 

.46 

113.68 

37 

86.83    .27 

(11.11 

.21 

3S.'I<>     .20 

20.66 

.16 

7.76 

.10 

0.96 

.03 

.54 

.47 

113.36 

.27 

86  :>'i    .2(i 

61.17 

.24 

38.70    .21 

20.50 

.16 

7.00 

.10 

0.98 

.01 

,58 

.48 

113.09 

.27 

sii.30    .20 

60.93 

.21 

::vl9    .20 

20.3  I 

.15 

7.56 

.10 

0.89 

.03 

.52 

48 

[12.88 

.27 

86.0  1    .27 

60.69 

.24 

88.29 

.20 

20.19 

.16 

7.10 

.10 

0.86 

.03 

.51 

..->() 

112.55 

.27 

85.77    .26 

60.45 

34 

38.09 

.20 

20.0:( 

.15 

7.36 

.10 

o.s:t 

.03 

.50 

1!> 

18 

17 

16 

1.1 

14 

13     Days. 

166 


TABLE  XV.    ARGUMENT  10. 

Equation  =  110".0  [1  —  sin.  (*  +  «)]. 
Period,  25.621696  days. 


Days.           6 

7 

^^ 

8 

9 

IO 

11 

13     Days. 

Decimal.- 
<>l"  a  Day. 

Equation. 

our. 

Equation. 

Diff. 

Equation. 

Diff 

Equation. 

Diff. 

Equation. 

.  Diff. 

Equation. 

Diff. 

Equation. 

n  iff 

:  V.  Mil. 
if  ;i  Ifitv 

.50 

1  12.55 

.27 

85.77 

.26 

60.45 

.24 

38.09 

.20 

20.03 

.15 

7.36 

.10 

0.83 

.03 

.50 

.51 

112.28 

.27 

85.51 

.26 

60.21 

.24 

37.89 

.21 

19.88 

.15 

7.26 

.10 

0.80 

.03 

.49 

.52 

112.01 

.27 

85.25 

.27 

59.97 

.24 

37.68 

.20 

19.73 

,16 

7.16 

.09 

0.77 

.03 

.48 

.53 

111.74 

.27 

84.98 

.26 

59.73 

.24 

37.48 

.20 

19.57 

,15 

7,07    .10 

0.74 

.03 

.47 

.54 

111.47 

.27 

84.72 

.26 

59.49 

.24 

37.28 

.20 

19.42 

.15 

6.97 

.09 

0.71 

.03 

.46 

.55 

111.20 

.27 

84.46 

.26 

59.25 

.23 

37.08 

.20 

19.27 

.16 

6.88 

.10 

0.68 

.03 

.45 

.56 

110.93 

.27 

84.20 

.27 

59.02 

.24 

36.88 

.21 

19.11 

.15 

6.78 

.09 

0.65 

.03 

.44 

.57 

110.66 

.27 

83.93 

.26 

58.78 

.24 

36.67 

.20 

18.96 

.15 

6.69 

.09 

0.62 

.03 

.43 

.58 

1  10.39 

.27 

83.67 

.26 

58.54 

.24 

36.47 

.20 

18.81 

.15 

6.60 

.09 

0.59 

.03 

.42 

.59 

110.12 

.27 

83.41 

.26 

58.30 

.24 

36.27 

.20 

'  18.66 

.15 

6.51 

.09 

0.56 

.03 

.41 

.60 

109.85 

.27 

83.15 

.26 

58.06 

.24 

36.07 

.20 

18.51 

.15 

6.42 

.09 

0.53 

.03 

.40 

.61 

109.58 

.27 

82.89 

.26 

57.82 

.23 

35.87 

.20 

18.36 

.15 

6.33 

.09 

0.50 

.02 

.39 

.62 

109.31 

.27 

82.63 

.26 

57.59 

.24 

35.67 

.20 

18.21 

.15 

6.24 

.09 

0.48 

.03 

.38 

.63 

109.04 

.27 

82.37 

.26 

57.35 

.24 

35.47 

.20 

18.06 

.11 

6.15 

.09 

0.45 

.02 

.37 

.64 

108.77 

.27 

82.11 

.26 

57.11 

.23 

35.27 

.20 

17.92 

.15 

6.06 

.09 

0.43 

.03 

.36 

.65 

108.50 

.27 

81.85 

.26 

56.88 

.24 

35.07 

.19 

17.77 

.15 

5.97 

.09 

0.40 

.02 

.35 

.66 

108.23 

.27 

81.59 

.26 

56.64 

.24 

34.88 

.20 

17.62 

.14 

5.88 

.08 

0.38 

.02 

.34 

.67 

107.96 

.27 

81.33 

.26 

56.40 

.23 

34.68 

.20 

17.48 

.15 

5.80 

.09 

0.36 

.02 

.33 

.68 

107.69 

.27 

81.07 

.26 

56.17 

.24 

34,18 

.20 

17.  :« 

.14 

5.71 

.08 

0.34 

.02 

-.32 

.69 

107.42 

.27 

80.81 

.26 

55.93 

.23 

34.28 

.19 

17.19 

.15 

5.63 

.09 

0.32 

.02 

.31 

.70 

107.15 

.27 

80.55 

.26 

55.70 

.23 

34.09 

.19 

17.01 

.14 

5.54 

.08 

0.30 

.02 

.30 

.71 

106.88 

.27 

80.29 

.26 

55.17 

.24 

33.90 

.20 

16.90 

.14 

5.46 

.08 

0.28 

.02 

.29 

.72 

106.61 

.27 

80.03 

.26 

55.23 

.23 

33.70 

.19 

16.76 

.15 

5.38 

.09 

0.26 

.02 

.28 

.73 

106.31 

.27 

79.77 

.26 

55.00 

.23 

33.5J 

.19 

16.61 

.14 

5.29 

.08 

0.24 

.02 

.27 

.74 

106.07 

.27 

79.51 

.26 

54.77 

.24 

33.32 

.20 

16.47 

.14 

5.21 

.08 

0.22 

.02 

.26 

.75 

105.80 

.26 

79.25 

.26 

54.53 

.23 

33.12 

.19 

16.33 

.14 

5.13 

.08 

0.20 

.01 

,  .25 

.76 

105.51    .27 

78.99 

.25 

51.30 

.25 

32.93 

.!!> 

16.19 

.13 

5  05 

.OS 

019    .O'J 

.24 

.77 

105.27 

.27 

78.74 

.26 

54.07 

.24 

32.74 

.20 

16.04 

.14 

4.97 

.08 

0.17 

.01 

.23 

.78 

105.00 

.27 

78.48 

.26 

53.83 

.23 

32.54 

.19 

15.90 

.14 

4.89 

.08 

0.16 

.02 

.22 

.79 

104.73 

.27 

78.22 

.26 

53.60 

.23 

32.35 

.19 

15.7R 

.14 

4.81 

.08 

0.14 

.01 

.21 

.80 

104.46 

.27 

77.96 

.26 

53.37 

.23 

32.16 

.19 

15.62 

.14 

4.73 

.08 

0.13 

.01 

.20 

.81 

104.19 

.27 

77.70 

.26 

53.14 

.23 

31.97 

.19 

15.4S 

.14 

4.65 

.08 

0.12 

.01 

.19 

.82 

103.92 

.27 

77.41 

.2.} 

52.1)1 

.23 

31.78 

.19 

15..3  1 

.13 

4.  .57     .(M 

0.11 

.01 

.18 

.83 

103.65 

.27 

77.19 

.26 

52.68 

.23 

31.59 

.19 

15.21 

.14 

4.49 

.07 

0.10 

.01 

.17 

.84 

103.38 

.27 

76.93 

.26 

52.45 

.23 

31.40 

.18 

15.07 

.14 

4.42 

.08 

0.09 

.01 

.16 

.85 

103.11 

.27 

7667 

.25 

52.22 

.23 

31.22 

.19 

14.93 

.13 

4.34 

.07 

0.08 

.01 

.15 

.86 

102.81 

.26 

76.42 

.26 

51.99 

.23 

31.03 

.19 

14.80 

.14 

4.27 

.08 

0.07 

.01 

.14 

.87 

102.58 

.27 

76.16 

.26 

51.76 

.23 

30.84 

.19 

14.66 

.13 

4.19 

.07 

0.06 

.01 

.13 

.88 

102.31 

.27 

75.90 

.25 

51.53 

.23 

30.65 

.18 

14.53 

.14 

4.12 

.07 

0.05 

.01 

.12 

.89 

102.04 

.27 

75.65 

.26 

51.30 

.23 

30.47 

.19 

14.39 

.13 

4.05 

.07 

0.04 

.01 

.11 

.90 

101.77 

.27 

75.39 

.25 

51.07 

.23 

30.28 

.18 

14.26 

.13 

3.98 

.07 

0.03 

.01 

.10 

.91 

101.50 

.27 

75.14 

.26 

50.84 

.23 

30.10 

.19 

14.13 

.13 

3.91 

.07 

0.02 

.00 

.09 

.92 

101.23 

.27 

74.88 

.25 

50.61 

.22 

29.91 

.18 

14.00 

.13 

3.84 

.07 

0.02 

.01 

.08 

.93 

100.96 

.27 

74.63 

.26 

50.39 

.23 

29.73 

.18 

13.87 

.13 

3.77 

.07 

0.01 

.00 

.07 

.94 

100.69 

.27 

74.37 

.25 

50.16 

.23 

29.55 

.19 

13.74 

.13 

3.70 

.07 

0.01 

.01 

.06 

.95 

100.42 

.27 

74.12 

.26 

49.93 

.22 

29.36 

.18 

13.61 

.13 

3.63 

.07 

0.00 

.00 

.05 

.96 

100.15 

.26 

73.86 

.25 

49.71 

.23 

29.18 

.18 

13.48 

.13 

3.56 

.07 

0.00 

.00 

.04 

.97 

99.89 

.27 

73.61 

.26 

49.48 

.22 

29.00 

.19 

13.35 

.13 

3.49 

.07 

0.00 

.00 

.03 

.98 

99.62 

.27 

73.35 

.25 

49.26 

.23 

28.81 

.18 

13.22 

.12 

3.42 

.06 

0.00 

.00 

.02 

.99 

99.35 

.27 

73.10 

.26 

49.03 

.22 

28.63 

.18 

13.10 

.13 

3.36 

.07 

0.00 

.00 

.01 

1.00 

99.08 

.27 

72.84 

.25 

48.81 

.22 

28.45 

.18 

12.97 

.13 

3.29 

.06 

0.00 

.00 

.00 

Days.          19 

18 

17 

16 

IS 

14 

13     Days. 

167 


TABLE  XVI.    ARGUMENT  11. 

Equation  =  85".0  [1  —  sin.  (2y  — *)]. 
Period,  26.878290  days. 


Days.        O 

1 

2 

3 

4 

S 

6 

r 

8 

9     Days. 

Days. 

.00 

169.30 

169.56 

16524 

156.55 

143.97 

128.18 

110.07 

90.57 

70.76 

51.74 

Day*. 
1.00 

.01 

169.32 

169.51 

165.17 

156.44 

143.83 

198.01 

109.88 

90.87 

70.56 

51.56 

.99 

.02 

169.35 

169.52 

165.10 

156.33 

143.68 

127.84 

109.69 

90.17 

70.37 

'  51.38 

.98 

.03 

169.37 

169.50 

165.03 

156.22 

143.54 

127.67 

109.49 

89.98 

70.17 

51.20 

.97 

.04 

169.10 

169.48 

164.96 

156.11 

143.39 

127.50 

109.30 

89.78 

69.98 

51.02 

.96 

.05 

169.42 

169.46 

164.89 

156.00 

143.25 

127.33 

109.11 

89.58 

69.78 

50.84 

.95 

.06 

169.44 

169.44 

164.82 

155.89 

143.10 

127.16 

108.92 

89.38 

69.59 

50.66 

.94 

.07 

169.46 

169.41 

161.76 

155.78 

142.96 

126.99 

108.73 

89.18 

69.39 

50.48 

.93 

.08 

169.48 

169.39 

161.6!) 

155.67 

142.81 

126.81 

108.53 

88.99 

69.20 

50.29 

.92 

.09 

169.50 

169.36 

164.62 

155.56 

142.67 

126.64 

108.34 

88.79 

69.00 

50.11 

.91 

.10 

169.52 

169.33 

161.55 

155.45 

142.52 

126.47 

108.15 

88.59 

68.81 

49.93 

.90 

.11 

169.54 

169.31 

164.48 

155.34 

142.37 

126.30 

107.96 

88.39 

6N.61 

49.75 

.89 

.12 

169.56 

169.28 

161.11 

155.23 

142.23 

126.12 

107.77 

88.19 

(is.  12 

49.57 

.86 

.18 

169.58 

169.26 

164.34 

155.11 

142.08 

125.95 

107.58 

88.00 

68.22 

49.38 

.87 

.14 

169.60 

169.23 

164.27 

155.00 

141.93 

125.77 

107.39 

87.80 

68.03 

49.20 

.86 

.15 

169.62 

169.21 

164.20 

154.89 

141.78 

125.60 

107.20 

87.60 

67.83 

49.02 

.85 

.16 

169.64 

169.18 

164.13 

154.78 

141.63 

125.43 

107.01 

87.40 

67.64 

48.84 

.84 

.17 

169.66 

169.15 

164.05 

154.66 

141.48 

18555 

106.82 

87.20 

67,44 

48.66 

.83 

.18 

189.67 

169.12 

163.98 

151.55 

141.33 

125.08 

106.62 

87.00 

67.25 

48.48 

.82 

.19 

169.69 

169.09 

163.90 

154.43 

141.18 

184.90 

106.43 

86.80 

67.05 

48.30 

.81 

.20 

169.70 

169.06 

163.83 

154.32 

141.03 

184.78 

106.24 

86.60 

66.86 

48.12 

.80 

.21 

169.72 

169.03 

163.76 

154.20 

140.88 

124.55 

106.05 

86.40 

66.67 

47.94 

.79 

.22 

169.73 

169.00 

163.68 

154.09 

140.73 

rS4.88 

105.86 

86.20 

66,48 

47.76 

.78 

.23 

169.75 

168.97 

163.61 

153.97 

1  10.5s 

121.20 

105.6h 

86.00 

66.28 

47.59 

.77 

.24 

169.76 

168.94 

163.53 

153.86 

140.4* 

121.03 

105.47 

85.80 

66.09 

47.41 

.76 

.25 

169.78 

168.91 

163,46 

153.74 

140.28 

123.85 

105.28 

85.60 

65.9( 

47.23 

.75 

.26 

169.79 

168.87 

163.38 

153.62 

140.13 

123.67 

105.09 

85.40 

65.71 

47.05 

.74 

.27 

169.81 

168.84 

163.31 

153.50 

139.98 

123.49 

101.90 

85.20 

65.51 

46.87 

.73 

.28 

169.82 

168.80 

163.23 

153.39 

139.82 

123.32 

104.70 

85.01 

65.32 

46.70 

.72 

.29 

169.83 

168.77 

163.15 

153.27 

139.67 

123.14 

104.51 

84.81 

65.12 

46.52 

.71 

.30 

169.84 

168.73 

163.07 

153.15 

139.52 

122.96 

104.32 

84.61 

64.93 

46.34 

.70 

.31 

169.85 

168.70 

162.99 

153.08 

139.37 

122.78 

104.13 

84.41 

64.74 

46.16 

.69 

.32 

169.86 

168.66 

162.91 

152.91 

139.22 

122.60 

103.93 

84.21 

6  1.5: 

45.99 

.68 

.:{:( 

169.87 

168.63 

162.82 

152.79 

139.06 

122.43 

103.74 

84.01 

64.38 

15.81 

.67 

.31 

169.88 

168.59 

162.71 

152.67 

138.91 

122.25 

103.51 

83.82 

64.16 

45.61 

.66 

.35 

169.89 

168.56 

162.66 

152.55 

138.76 

122.07 

103.35 

83.62 

63.97 

45,46 

.65 

.36 

169.90 

168.52 

162.58 

152.43 

138.60 

121.89 

103.15 

83.  12 

68.78 

45.28 

.64 

.37 

169.91       168.  is 

162.50 

153.81 

138.15 

121.71 

102.96 

83.22 

63.59 

15.11 

.63 

.38 

169.92      168.11      162.42 

152.18 

138.29 

121.53 

102.76 

83.02 

63.39 

1  1.93 

.62 

M 

169.93 

168.40 

162.31 

158.06 

138.14 

121.35 

102.57 

82.82 

63.20 

11.76 

.61 

.40 

169.94 

168.36 

162.26 

151.94 

137.99 

121.17 

[02.87 

82.62 

63.01 

4468 

.60 

.41 

|ii!i.!i:>       168.32 

162.18 

191.82 

137.83 

120.99 

102.18 

82.  12 

62.81 

ll.ll 

.5!) 

.12 

169.96     Mis.-.-, 

188.09 

151.70 

187.68 

[20.81 

101.98 

82.23 

62.68 

44.24 

.58 

.43 

Kill.  117       168.21 

162.01 

151.57 

187:53 

120.63 

101.79 

82.03 

62.  1  1 

II.  (17 

.57 

.11 

169.91 

168.20 

181.92 

151.46 

tOT:87 

180.48 

101.59 

81.83 

62.28 

43.89 

.56 

.45 

169.98 

[68.16 

161.84 

1.--1  :!:! 

137.21 

120.27 

101.10 

81.63 

62.06 

43.72 

.55 

.46 

169.98       His.  12       161.75 

151.20 

137.05 

reo.09 

101.  20 

81.48 

61.87 

48:56 

.51 

.17 

169.9s       I6s.0s       161.67 

151.  ON       13i;.!i() 

11!).!)!        101.01 

81.23 

61.68 

13.37 

.53 

.1- 

Kiii.ii!)     iiis.oi      161.5s 

150.95       136.7  •       119.73       100.81 

81.01 

61.48 

43.20 

.52 

.1!) 

Hill.  99       167.!)!)       1H  !.:•() 

i:,o,s:j      I:K;..-,!I     ii«).r,  i      100.6-,' 

80.81 

61.29 

13.02 

.51 

.:.(» 

Hi!).!)!)       167.!).')       161.11 

ir,o.7o      136.13 

119.  36 

100.12 

80.64 

61.10 

42.85 

.50 

i  '  .  -.    27 

so 

r, 

9* 

•29 

22 

21 

2O 

19 

18  Days. 

168 


TABLE  XVI.    ARGUMENT   11. 


Equation  =  85".0  [1  — sin.  (2y  —  *)]. 
Period,  26.878290  days. 


Days.        O 

1 

2 

3 

4 

S 

6 

7 

8 

9     Days. 

Days. 

.50 

169.99 

167.95 

161.41 

150.70 

136.43 

119.36 

100.42 

80.64 

61.10 

42'!85 

Days, 

.50 

.51 

169.99 

167.90 

161.32 

150.57 

136.27 

119.18 

100.2i. 

80.44 

60.91 

42.68 

.49 

.52 

170.00 

167.86 

161.25 

150.44 

136.11 

119.00 

100.02 

80.24 

60.72 

42.51 

.48 

.53 

170.00 

167.81 

161.16 

150.32 

135.96 

118.81 

99.83 

80.05 

60.53 

42.33 

.47 

.54 

170.00 

167.77 

161.07 

150.19 

135.80 

118.63 

99.63 

79.85 

60.34 

42.16 

.46 

.55 

170.00 

167.72 

160.98 

150.06 

135.64 

118.45 

99.43 

79.65 

60.15 

41.99 

.45 

.56 

170.00 

167.68 

160.89 

149.93 

135.48 

118.27 

99.24 

79.45 

59.96 

41.82 

.44 

.57 

170.00 

167.63 

160.80 

149.80 

135.32 

118.09 

99.04 

79.25 

59.77 

41.65 

.43 

.58 

170.00 

167.59 

160.71 

149.68 

135.15 

117.90 

98.84 

79.06 

59.58 

41.48 

.42 

.59 

170.00 

1-67.54 

160.61 

149.55 

134.99 

117.72 

98.65 

78.86 

59.39 

41.31 

.41 

.60 

169.99 

167.49 

160.52 

149.42 

134.83 

117.54 

98.45 

78.66 

59.20 

41.14 

.40 

.61 

169.99 

167.44 

160.43 

149.29 

134.67 

117.36 

98.25 

78.46 

59.01 

40.97 

.39 

.62 

169.99 

167.39 

160.34 

149.16 

134.51 

117.17 

98.06 

78.26 

58.83 

40.80 

.38 

.63 

169.99 

167.34 

160.25 

149.03 

134.34 

116.99 

97.86 

78.06 

58.63 

40.63 

.37 

.64 

169.98 

167.29 

160.16 

148.90 

134.18 

116.80 

97.67 

77.87 

58.44 

40.46 

.36 

.65 

169.98 

167.24 

160.07 

148.77 

134.02 

116.62 

97.47 

77.67 

58.25 

40.29 

.35 

.66 

169.97 

167.19 

159.97 

148.64 

133.86 

116.44 

97.27 

77.47 

58.06 

40.12 

.34 

.67 

169.97 

167.14 

159.88 

148.51 

133.69 

116.25 

97.08 

77.27 

57.87 

39.95 

.33 

.68 

169.96 

167.09 

159.78 

148.37 

133.53 

116.07 

96.88 

77.07 

57.69 

39.79 

.32 

.69 

169.96 

167.04 

159.69 

148.24 

133.36 

115.88 

96.69 

76.87 

57.50 

39.62 

.31 

.70 

169.95 

166.99 

159.59 

148.11 

133.20 

115.70 

96.49 

76.67 

57.31 

39.45 

.30 

.71 

169.94 

166.94 

159.49 

147.98 

133.04 

115.51 

96.29 

76.47 

57.12 

39.28 

.29 

.72 

169.94 

166.89 

159.39 

147.84 

132.87 

115.33 

96.10 

76.28 

56.93 

39.12 

.28 

.73 

169.93 

166.84 

159.30 

147.71 

132.71 

115.14 

95.90 

76.08 

56.75 

38.95 

.27 

.74 

169.92 

166.79 

159.20 

147.57 

132.54 

114.96 

95.71 

75.88 

56.56 

38.79 

.26 

.75 

169.91 

166.74 

159.10 

147.44 

132.38 

114.77 

95.50 

75.68 

56.37 

38.62 

.25 

.76 

169.90 

166.68 

159.00 

147.31 

132.21 

114.58 

95.31 

75.49 

56.18 

38.45 

.24 

.77 

169.89 

166.63 

158.90 

147.17 

132.05 

114.40 

95.12 

75.29 

55.99 

38.29 

.23 

.78 

169.88 

166.57 

158.81 

147.01 

131.88 

•114.21 

94.92 

75.09 

55.81 

38.12 

.22 

.79 

169.87 

166.51 

158.71 

146.90 

131.72 

114.03 

94.73 

74.89 

55.62 

37.96 

.21 

.80 

169.86 

166.46 

158.61 

146.77 

131.55 

113.84 

94.53 

74.70 

55.43 

37.79 

.20 

.81 

169.85 

166.40 

158.51 

146.63 

131.38 

113.65 

94.33 

74.50 

55.24 

37.62 

.19 

.82 

169.84 

166.34 

158.41 

146.49 

131.21 

113.46 

94.13 

74.30 

55.06 

37.46 

.18 

.83 

169.83 

166.28 

158.31 

146.36 

131.05 

113.28- 

93.94 

74.11 

54.87 

37.29 

.17 

.84 

169.82 

166.23 

158.21 

146.22 

130.88 

113.09 

93.74 

73.91 

54.69 

37.13 

.16 

.85 

169.81 

166.17 

158.11 

146.08 

130.71 

112.90 

93.54 

73.71 

54.50 

36.96 

.15 

.86 

169.80 

166.11 

158.01 

145.94 

130.54 

112.71 

93.34 

73.51 

54.32 

36.80 

.14 

.87 

169.78 

166.05 

157.90 

145.80 

130.37 

112.52 

93.14 

73.31 

54.13 

36.63 

.13 

.88 

169.76 

165.99 

157.80 

145.66 

130.21 

112.34 

92.95 

73.12 

53.95 

36.47 

.12 

.89 

169.75 

165.93 

157.69 

145.52 

130.04 

112.15 

92.75 

72.92 

53.76 

36.30 

.11 

.90 

169.73 

165.87 

157.59 

145.38 

129.87 

111.96 

92.55 

72.72 

53.58 

36.14 

.10 

.91 

169.72 

165.81 

•  157.48 

145.24 

129.70 

111.77 

92.35 

72.52 

53.40 

35.98 

.09 

.92 

169.70 

165.75 

157.38 

145.10 

129.53 

111.58 

92.15 

72.33 

53.21 

35.82 

.08 

.93 

Ifi9.fi!) 

165.69 

157.27 

144.96 

129.37 

111.40 

91.96 

72.13 

53.03 

35.65 

.07 

.94 

169.67 

165.63 

157.17 

144.82 

129.20 

111.21 

91.76 

71.93 

52.84 

35.49 

.06 

.95 

169.66 

165.57 

157.06 

144.68 

129.03 

111.02 

91.56 

71.74 

52.66 

35.33 

.05 

.96 

169.64 

165.51 

156.96 

144.54 

128.86 

110.83 

91.36 

71.54 

52.48 

35.17 

.04 

.97 

169.62 

165.41 

156.86 

144.40 

128.69 

110.64 

91.16 

71.35 

52.29 

35.01 

.03 

.98 

169.60 

165.37 

156.75 

144.25 

128.52 

110.45 

90.97 

71.15 

52.11 

34.84 

.02 

. 

.99 

169.58 

165.31 

156.65 

144.11 

128.35 

110.26 

90.77 

70.95 

51.92 

34.68 

.01 

1.00 

169.56 

165.24 

156.55 

143.97 

128.18 

110.07 

90.57 

70.76 

51.74 

34.52 

.00 

Days.     27 

26 

23 

24 

23 

22 

21 

2O 

19 

18    Days. 

169 


TABLE  XVI. 

(Continued). 
Period,  26.878290  days. 


TA3LE  XVII.    ARG.   1 2 . 

Equation  =  58".7  [1  —  sin.  (2y  —  2*)]. 
Period,  173.31006  days. 


Days.     1O 

11 

1« 

13       Days. 

Days.     O 

10 

2O 

30 

4O    Days. 

Days. 

.00 

34.52 

20.06 

9.11 

2.33 

Days. 

1.00 

iiii.iK 
0.0 

0.41 

1.71 

10.38 

25.33 

44.63 

Hays. 

10.0 

.01 

34.36 

19.93 

9.02 

2.28 

.99 

0.1 

0.39 

1.76 

10.50 

25.51 

44.84 

9.9 

.02 

34.20 

19.81 

8.93 

2.24 

.98 

0.2 

0.37 

1.81 

10.62 

25.69 

45.05 

9.8 

.03 

34.05 

19.68 

8.85 

2.19 

.97 

0.3 

0.35 

1.87 

10.74 

25.86 

45.25 

9.7 

.04 

33.89 

19.56 

8.76 

2.15 

.96 

0.4 

0.33 

1.92 

10.87 

26.04 

45.46 

9.6 

.05 

33.73 

19.43 

8.67 

2.10 

.95 

0.5 

0.31 

1.97 

10.99 

26.22 

45.67 

9.5 

.06 

33.57 

19.30 

8.59 

2.06 

.94 

0.6 

0.29 

2.03 

11.12 

26.40 

45.88 

9.4 

.07 

33.41 

19.18 

8.50 

2.01 

.93 

0.7 

0.27 

2.08 

11.24 

26.58 

4609 

9.3 

.08 

33.26 

19.05 

8.42 

1.97 

.92 

0.8 

0.25 

2.14 

11.37 

26.76 

46.30 

9.2 

.09 

33.10 

1893 

8.33 

1.93 

.91 

0.9 

0.23 

2.19 

11.49 

26.94 

46.51 

9.1 

.10 

32.94 

18.80 

8.25 

1.89 

.90 

1.0 

0.21 

2.25 

11.62 

27.12 

46.72 

9.0 

.11 

32.78 

18.68 

8.17 

1.85 

.89 

1.1 

0.19 

2.31 

11.75 

27.30 

46.93 

8.9 

.12 

32.63 

18.56 

8.08 

1.81 

.88 

1.2 

0.17 

2.37 

11.87 

27.48 

47.14 

8.8 

.13 

32.47 

18.43 

8.00 

1.77 

.87 

1.3 

0.16 

2.43 

12.00 

27.66 

47.34 

8.7 

.14 

32.32 

18.31 

7.91 

1.73 

.86 

1.4 

0.14 

2.49 

12.13 

27.84 

47.55 

8.6 

.15 

32.16 

18.19 

7.83 

1.69 

.85 

1.5 

0.13 

2.55 

12.26 

28.02 

47.76 

8.5 

.16 

32.01 

18.07 

7.75 

1.65 

.84 

1.6 

0.12 

2.61 

12.39 

28.20 

47.97 

8.4 

.17 

31.85 

17.95 

7.67 

1.60 

.83 

1.7 

0.10 

2.68 

12.52 

28.38 

48.18 

8.3 

.18 

31.70 

17.82 

7.58 

1.56 

.82 

1.8 

0.09 

2.74 

12.65 

28.56 

<lN.:fs 

8.2 

.19 

31.54 

17.70 

7.50 

1.52 

.81 

1.9 

0.08 

2.81 

12.79 

28.75 

48.59 

8.1 

.20 

31.39 

17.58 

7.42 

1.48 

.80 

2.0 

0.07 

2.87 

12.92 

28.93 

48.80 

8.0 

.21 

31.24 

17.46 

7.34 

1.44 

.79 

2.1 

0.06 

2.94 

13.06 

29.11 

49.01 

7.9 

.22 

31.09 

17.34 

7.26 

1.40 

.78 

2.2 

0.05 

3.00 

13.19 

29.30 

49.22 

7.8 

.23 

30.93 

17.22 

7.18 

1.37 

.77 

2.3 

0.04 

3.07 

13.33 

29.48 

49.43 

7.7 

.24 

30.78 

17.10 

7.10 

1.33 

.76 

2.4 

0.03 

3.14 

13.46 

29.67 

49.64 

7.6 

.25 

30.63 

16.98 

7.02 

1.30 

.75 

2.5 

0.02 

3.21 

13.60 

29.85 

49.85 

7.5 

.26 

30.48 

16.86 

6.94 

1.26 

.74 

2.6 

0.02 

3.28 

13.74 

30.04 

50.06 

7.4 

.27 

30.33 

16.74 

6.86 

1.23 

.73 

.2.7 

0.01 

3.35 

13.87 

30.22 

50.27 

7.3 

.28 

30.17 

16.63 

6.79 

1.19 

.72 

2.8 

0.01 

3.42 

14.01 

30.41 

50.48 

7.2 

.29 

30.02 

16.51 

6.71 

1.16 

.71 

2.9 

0.00 

3.49 

14.15 

30.59 

50.70 

7.1 

.30 

29.87 

16.39 

6.63 

1.13 

.70 

3.0 

0.00 

3.56 

14.29 

30.78 

50.91 

7.0 

.31 

29.72 

16.27 

6.55 

1.10 

.69 

8.1 

0.00 

3.63 

14.43 

30.97 

51.12 

6.9 

.32 

29.57 

16.15 

6.48 

1.06 

.68 

3.2 

0.00 

3.71 

14.57 

31.15 

51.33 

6.8 

.33 

29.42 

16.04 

6.40 

1.03 

.67 

3.3 

0.00 

3.78 

14.71 

31.34 

51.54 

6.7 

.34 

29.27 

15.92 

6.33 

1.00 

.66 

3.4 

0.00 

3.86 

14.85 

31.53 

51.75 

6.6 

.35 

29.12 

15.80 

6.25 

0.97 

.65 

3.5 

0.01 

3.93 

14.99 

31.72 

51.96 

6.5 

.36 

28.97 

15.69 

6.17 

0.94 

.64 

3.6 

0.01 

4.01 

15.13 

31.91 

52.17 

6.4 

.37 

28.82 

15.57 

6.10 

0.91 

.63 

3.7 

0.01 

4.08 

15.28 

32.10 

52.38 

6.3 

.38 

28.67 

15.46 

6.02 

0.88 

.62 

3.8 

0.02 

4.16 

15.42 

32.29 

52.59 

6.2 

.39 

28.52 

15.34 

5.95 

0.85 

.61 

3.9 

0.02 

4.24 

15.57 

32.48 

52.81 

6.1 

.40 

28.37 

15.23 

5.87 

0.82 

.60 

4.0 

0.02 

4.32 

15.71 

32.67 

53.02 

6.0 

.41 

28.22 

15.12 

5.80 

0.79 

.59 

4.1 

0.03 

4.40 

15.86 

32.86 

68.23 

5.9 

.42 

28.07 

15.00 

5.73 

0.76 

.58 

4.2 

0.04 

4.48 

16.00 

33.05 

58.44 

5.8 

.43 

27.93 

14.89 

5.65 

0.73 

.57 

4.3 

0.05 

4.56 

16.15 

33.24 

58.65 

5.7 

.44 

27.78 

14.77 

5.58 

0.71 

.56 

4.4 

0.06 

4.65 

16.29 

33.44 

53.87 

5.6 

.45 

27.63 

14.66 

5.51 

0.68 

.55 

4.5 

0.07 

4.73 

16.44 

33.63 

54.08 

5.5 

.46 

27.48 

14.55 

5.44 

0.65 

.54 

4.6 

0.08 

4.81 

16.59 

33.82 

54.29 

5.4 

.47 

87.M 

14.44 

r>..T7 

0.63 

M 

4.7 

0.09 

4.90 

16.73 

34.02 

54.50 

5.3 

.48 

27.19 

11  .:u 

:>.:«» 

0.60 

M 

4.8 

0.10 

4.98 

16.88 

34.21 

54.71 

5.2 

.49 

27.05 

14.22 

5.23 

0.58 

.51 

4.9 

0.11 

5.07 

17.03 

34.41 

5i.<)3 

5.1 

.50 

26.90 

14.11 

5.16 

0.56 

.50 

5.0 

0.12 

5.  Hi 

17.18 

:u.(i() 

55.14 

5.0 

Days.    IT 

16 

ts 

14       Days. 

Days.   17O 

160 

1.10 

110 

13O   Days. 

Norm.  — Arg.  12' . 
17C 


:  Are.  12. 


XVI. 

(Continued.) 
Period,  26.878290  days. 


TABLE  XVII.    A 

Equation  =  58".7  [1  —  sin.  (2y  —  2/)]. 
Period,  173.31006  days. 


Days.     1O 

11 

12 

1  3        Days. 

Days.     O 

1O 

9O 

30 

4O    Days. 

L):ivs. 

(/ 

„ 

H 

Days. 

Pavs 

H 

1, 

H 

Days. 

.50 

26.90 

14.11 

5.16 

0.56 

.50 

5.0 

0.12 

5.16 

17.18 

34.60 

55.14 

5.0 

.51 

26.76 

14.00 

5.09 

0.54 

.49 

5.1 

0.13 

5.25 

17.33 

34.8( 

55.35 

4.9 

.52 

26.61 

13.89 

5.02 

0.52 

.48 

5.2 

0.14 

5.33 

17.48 

34.99 

55.56 

4.8 

.53 

26.47 

13.78 

4.96 

0.50 

.47 

5.3 

0.16 

5.42 

17.63 

35.19 

55.77 

4.7 

.54 

26.32 

13.67 

4.89 

0.48 

.46 

5.4 

0.17 

5.5 

17.79 

35.38 

55.99 

4.6 

.55 

26.18 

13.56 

4.82 

0.46 

.45 

5.5 

0.19 

5.60 

17.94 

35.58 

56.20 

4.5 

.56 

26.04 

13.45 

4.76 

0.44 

.44 

5.6 

0.21 

5.69 

18.09 

35.78 

56.41 

4.4 

.57 

25.89 

13.35 

4.69 

0.42 

.43 

5.7 

0.23 

5.79 

18.25 

35.97 

56.63 

4.3 

.58 

25.75 

13.24 

4.63 

0.40 

.42 

5.8 

0.25 

5.88 

18.40 

36.17 

56.84 

4.2 

.59 

25.60 

13.14 

4.56 

0.38 

.41 

5.9 

0.27 

5.98 

18.56 

36.36 

57.06 

4.1 

.60 

25.46 

13.03 

4.50 

0.36 

.40 

6.0 

0.29 

6.07 

18.71 

36.56 

57.27 

4.0 

.61 

25.32 

12.93 

4.44 

0.34 

.39 

6.1 

0.31 

6.17 

18.86 

36.76 

57.48 

3.9 

.62 

25.18 

12.82 

4.38 

0.32 

.38 

6.2 

0.33 

6.26 

19.02 

36.95 

57.69 

3.8 

.63 

25.03 

12.72 

4.31 

0.31 

.37 

6.3 

0.35 

6.36 

19.17 

37.15 

57.91 

3.7 

.64 

24.89 

12.61 

4.25 

0.29 

.36 

6.4 

0.38 

6.45 

19.33 

37.34 

58.12 

3.6 

.65 

24.75 

12.51 

4.19 

0.28 

.35 

6.5 

0.40 

6.55 

19.49 

37.54 

58.33 

3.5 

.66 

24.61 

12.41 

4.13 

0.26 

.34 

6.6 

0.42 

6.65 

19.65 

37.74 

58.54 

3.4 

.67 

24.47 

12.30 

4.07 

0.25 

.33 

6.7 

0.44 

6.75 

19.81 

37.93 

58.76 

3.3 

.68 

24.34 

12.20 

4.01 

0.23 

.32 

6.8 

0.47 

6.85 

19.97 

38.13 

58.97 

3.2 

.69 

24.20 

12.09 

3.95 

0.22 

.31 

6.9 

0.49 

6.95 

20.13 

38.33 

59.19 

3.1 

.70 

24.06 

11.99 

3.89 

0.21 

.30 

7.0 

0.52 

7.05 

20.29 

38.53 

59.40 

3.0 

.71 

23.92 

11.89 

3.83 

0.20 

.29 

7.1 

0.55 

7.15 

20.45 

38.73 

59.61 

2.9 

.72 

23.78 

11.79 

3.77 

0.18 

.28 

7.2 

0.58 

7.26 

20.61 

38.93 

59.82 

2.8 

.73 

23.65 

11.69 

3.72 

0.17 

.27 

7.3 

0.61 

7.36 

20.77 

39.13 

60.04 

2.7 

.74 

23.51 

11.59 

3.66 

0.16 

.26 

7.4 

0.64 

7.47 

20.94 

39.34 

60.25 

2.6 

.75 

23.37 

1149 

3.60 

0.15 

.25 

7.5 

0.67 

7.57 

21.10 

39.54 

60.46 

2.5 

.76 

23.23 

11.39 

3.54 

0.14 

.24 

7.6 

0.70 

7.68 

21.26 

39.74 

60.67 

2.4 

.77 

23.10 

11.29 

3.49 

0.13 

.23 

7.7 

0.73 

7.78 

21.43 

39.94 

60.88 

2.3 

.78 

22.96 

11.20 

3.43 

0.12 

.22 

7.8 

0.77 

7.89 

21.59 

40.14 

61.10 

2.2 

.79 

22.83 

11.10 

3.38 

0.11 

.21 

7.9 

0.80 

7.99 

21.76 

40.85 

61.31 

2.1 

.80 

22.69 

11.00 

3.32 

0.10 

.20 

8.0 

0.84 

8.10 

21.93 

40.55 

61.52 

2.0 

.81 

22.56 

10.90 

3.27 

0.09 

.19 

8.1 

0.88 

8.21 

22.10 

40.75 

61.73 

1.9 

.82 

22.42 

10.80 

3.21 

0.08 

.18 

8.2 

0.92 

8.31 

22.26 

40.95 

61.94 

1.8 

.83 

22.29 

10.71 

3.16 

0.07 

.17 

8.3 

0.96 

8.42 

22.43 

41.15 

62.16 

1.7 

.84 

22.15 

10.61 

3.10 

0.06 

.16 

8.4 

1.00 

8.53 

22.60 

41.36 

62.37 

1.6 

.85 

22.02 

10.51 

3.05 

0.05 

.15 

8.5 

1.04 

8.64 

22.77 

41.56 

62.58 

1.5 

.86 

21.89 

10.41 

3.00 

0.04 

.14 

8.6 

1.08 

8.75 

22.94 

41.76 

62.79 

1.4 

.87 

21.76 

10.32 

2.95 

0.04 

.13 

8.7 

1.12 

8.86 

23.10 

41.97 

63.00 

1.3 

.88 

21.62 

10.22 

2.90 

0.03 

.12 

8.8 

1.17 

8.97 

23.2-7 

•  42.17 

63.22 

1.2 

.89 

21.49 

10.13 

2.85 

0.03 

.11 

8.9 

1.21 

9.09 

23.44 

42.38 

63.43 

1.1 

.90 

21.36 

10.03 

2.80 

0.03 

.10 

9.0 

1.25 

9.20 

23.61 

42.58 

63.64 

1.0 

.91 

21.23 

9.94 

•   2.75 

0.02 

.09 

9.1 

1.29 

9.32 

23.78 

42.78 

63.85 

0.9 

.92 

21.10 

9.85 

2.70 

0.02 

.08 

9.2 

1.33 

9.43 

23.95 

42.99 

64.06 

0.8 

.93 

20.97 

9.75 

2.66 

0.01 

.07 

9.3 

1.38 

9.55 

24.12 

43.19 

64.28 

0.7 

.94 

20.84 

9.66 

2.61 

0.01 

.06 

9.4 

1.42 

9.66 

24.29 

43.40 

64.49 

0.6 

.95 

20.71 

9.57 

2.56 

0.01 

.05 

9.5 

1.46 

9.78 

24.46 

43.60 

64.70 

0.5 

.96 

20.58 

9.48 

2.51 

0.00 

.04 

9.6 

1.51 

9.90 

24.63 

43.81 

64.91 

0.4 

.97 

20.45 

9.39 

2.47 

0.00 

.03 

9.7 

1.56 

10.02 

24.81 

44.01 

65.12 

0.3 

.98 

20.32 

9.29 

2.42 

0.00 

.02 

9.8 

1.61 

10.14 

24.98 

44.22 

65.34 

0.2 

.99 

20.19 

9.20 

2.38 

0.00 

.01 

9.9 

1.66 

10.26 

25.16 

44.42 

65.55 

0.1 

1.00 

20.06 

9.11 

2.33 

0.00 

.00 

10.0 

1.71 

10.38 

25.33 

44.63 

65.76 

0.0 

Days.     17 

16 

15 

14       Days. 

Days.   17O 

160 

BT.O 

14O 

13O    Days. 

NOTE.  —  Arg.  12' 
171 


=  Arg.  12. 


TABLE  XVII. 

(Continued). 
Period,  173.31006  days. 


TABLE  XVIII.    ARG.   13. 

Equation  =  38".0  [1  +  sin.  (4«— *)]. 
Period,  10.084597  days. 


Days 

30 

OO 

70 

8O    1 

)ays. 

Days 

.    0 

1 

2 

8 

4 

5   r 

'ays. 

Days. 

0.0 

65.76 

85.98 

102.63 

113.58 

Days. 

io.b 

Days. 

.00 

6.57 

6.02 

7.74 

26.82 

50.13 

68.86 

Davs 

1.00 

0.1 

65.97 

86.17 

102.77 

113.65 

9.9 

.01 

6.44 

0.03 

7.89 

27.05 

50.35 

69.00 

.99 

0.2 

66.18 

86.36 

102.91 

1  13.73 

9.8 

.02 

6.31 

0.04 

8.03 

27.27 

50.58 

69.13 

.98 

0.3 

66.39 

86.55 

103.05 

113.80 

9.7 

.03 

6.18 

0.05 

8.18 

27.50 

50.80 

69.27 

.97 

0.4 

66.61 

86.73 

103.18 

'113.88 

9.6 

.04 

6.05 

0.06 

8.32 

27.73 

51.02 

69.40 

.96 

0.5 

66.82 

86.92 

103.32 

113.95 

9.5 

.05 

5.92 

0.07 

8.47 

27.96 

51.24 

69.54 

.95 

0.6 

67.03 

87.11 

103.46 

114.02 

9.4 

.06 

5.79 

0.09 

8.62 

28.19 

51.46 

69.67 

.94 

0.7 

67.24 

87.29 

103.59 

114.09 

9.3 

.07 

5.67 

0.10 

8.77 

28.42 

51.68 

69.80 

.93 

0.8 

67.45 

87.48 

103.73 

114.16 

9.2 

.08 

5.54 

0.12 

8.92 

28.65 

51.90 

69.93 

.92 

0.9 

67.66 

87.66 

103.86 

1  14.23 

9.1 

.09 

5.42 

0.13 

9.08 

28.88 

52.12 

70.05 

.91 

1.0 

67.87 

87.85 

104.00 

114.30 

9.0 

.10 

5.30 

0.15 

9.23 

29.11 

52.34 

70.18 

.90 

1.1 

68.08 

88.03 

104.13 

114.37 

8.9 

.11 

5.18 

0.17 

9.39 

29.34 

52.56 

70.30 

.89 

.2 

68.29 

88.22 

104.27 

114.43 

8.8 

.12 

5.06 

0.20 

9.54 

29.57 

52.78 

70.43 

.88 

.3 

68.50 

88.40 

104.40 

114.50 

8.7 

.13 

4.94 

0.22 

9.70 

29.80 

53.00 

70.55 

.87 

.4 

68.71 

88.59 

104.54 

114.56 

8.6 

.14 

4.83 

0.25 

9.86 

30.04 

53.21 

70.67 

.86 

.5 

68.92 

88.77 

104.67 

114.63 

8.5 

.15 

4.71 

0.27 

10.02 

30.27 

53.43 

70.79 

.85 

.6 

69.13 

88.95 

104.80 

114.69 

8.4 

.16 

4.60 

0.30 

10.18 

30.50 

53.6  t 

70.91 

.84 

.7 

69.34 

89.14 

104.94 

114.76 

8.3 

.17 

4.49 

0.33 

10.34 

30.73 

53.86 

71.02 

.83 

1.8 

69.55 

89.32 

105.07 

114.82 

8.2 

.18 

4.38 

0.36 

10.50 

30.96 

51.07 

71.11 

.82 

1.9 

69.76 

89.50 

105.20 

114.88 

8.1 

.19 

4.27 

0.40 

10.67 

31.20 

51.29 

Tl'26 

.81 

2.0 

69.97 

89.68 

105.33 

114.94 

8.0 

.20 

4.16 

0.43 

10.83 

31.43 

54.50 

71.37 

.80 

2.1 

70.18 

89.86 

105.46 

115.00 

7.9 

.21 

4.06 

0.47 

11.00 

31.66 

54.71 

71.48 

.79 

2.2 

70.3'J 

90.04 

105.59 

115.06 

7.8 

.22 

3.95 

0.51 

11.17 

31.90 

54.93 

71.5!) 

.78 

2.3 

70.60 

90.22 

105.72 

115.12 

7.7 

.23 

3.85 

0.55 

11.33 

32.13 

55.14 

71.70 

.77 

2.4 

70.80 

90.39 

105.84 

115.17 

7.6 

.24 

3.74 

0.59 

11.50 

32.37 

55.35 

71.81 

.76 

2.5 

71.01 

90.57 

105.97 

115.23 

7.5 

.25 

3.64 

0.63 

11.67 

32.60 

55.56 

71.92 

.75 

2.6 

71.22 

90.75 

106.10 

115.29 

7.4 

.26 

3.54 

0.68 

11.84 

32.83 

55.77 

72.02 

.74 

2.7 

71.43 

90.92 

106.22 

115.34 

7.3 

.27 

3.44 

0.72 

12.01 

33.07 

55.98 

72.13 

.73 

2.8 

71.64 

91.10 

106.35 

115.40 

7.2 

.28 

3.34 

0.77 

12.18 

33.30 

56.19 

72.23 

.72 

2.9 

71.84 

91.27 

106.47 

115.45 

7.1 

.29 

3.25 

0.81 

12.36 

33.54 

56.40 

72.34 

.71 

3.0 

72.05 

91.45 

106.60 

115.51 

7.0 

.30 

3.15 

0.86 

12.53 

83.77 

56.61 

72.44 

.70 

3.1 

72.26 

91.62 

106.72 

115.56 

6.9 

.31 

3.06 

0.91 

12.71 

34.01 

56.81 

72.54 

.69 

3.2 

72.46 

91.80 

106.84 

115.62 

6.8 

.32 

2.96 

0.97 

12.88 

34.24 

57.02 

72.64 

.68 

3.3 

72.67 

91.97 

106.96 

115.67 

6.7 

.33 

2.87 

1.02 

13.06 

34.48 

57.22 

72.74 

.67 

3.4 

72.87 

92.15 

107.08 

115.72 

6.6 

.34 

2.78 

1.08 

13.24 

34.71 

57.43 

72.83 

.66 

3.5 

73.08 

92.32 

107.20 

115.77 

6.5 

.35 

2.69 

1.13 

13.42 

34.95 

57.63 

72.93 

.65 

3.6 

73.29 

92.49 

107.32 

115.82 

6.4 

.36 

2.61 

1.19 

13.60 

35.19 

57.83 

73.02 

.64 

3.7 

7:s,i!i 

92.67 

107.44 

116.67 

6.3 

.37 

2.52 

1.25 

13.78 

35.42 

58.03 

73.11 

.63 

3.8 

73.70 

92.84 

107.56 

115.92 

6.2 

.38 

2.44 

1.31 

13.96 

:j.r>.(i( 

58.23 

73.20 

.62 

3.9 

73.90 

93.01 

107.67 

115.96 

6.1 

.39 

2.35 

1.37 

14.15 

:!5.8<j 

58.43 

7:i.-.»> 

.61 

4.0 

74.11 

93.18 

107.79 

116.01 

6.0 

.40 

2.27 

1.41 

14.33 

36.13 

58.63 

7:i.:is 

.60 

4.1 

74.31 

9BM 

107.91 

116.05 

5.9 

.41 

2.19 

1.50 

14.52 

36.37 

:>ss: 

78.46 

.50 

4.2 

74.52 

93.53 

108.02 

116.10 

5.8 

.42 

2.11 

1.56 

14.70 

36.61 

59.03 

7:<.:>;> 

.58 

4.3 

74.72 

93.70 

108.14 

116.14 

5.7 

.t:i 

2.03 

1.63 

1  l>!) 

36.N4 

59.23 

7:Ui:t 

.57 

4.4 

74.93 

!)3>7 

108.25 

116.19 

5.6 

.44 

1.96 

1.70 

15.08 

37.08 

:.:).  i- 

73.71 

.56 

4.5 

75.13 

94.04 

108J1 

116.23 

5.5 

.45 

.88 

1.77 

15.27 

37.3:. 

59.62 

73.7!) 

.65 

4.6 

75.33 

94.21 

108.48 

116.27 

5.4 

.46 

.81 

1.84 

15.46 

37.  5« 

59.81 

73.87 

.54 

4.7 

75.54 

!M.:(s 

108.60 

116.31 

5.3 

.47 

.74 

1.92 

15.65 

37.79 

60.00 

78.94 

.53 

4.8 

75.74 

94.55 

108.71 

116.35 

5.2 

.48 

.67 

1.99 

15.84 

38.03 

60.2( 

74.02 

.52 

4.9 

75.95 

94.72 

108.82 

116.39 

5.1 

.49 

.60 

2.07 

16.04 

:tN.26 

60.3! 

74.09 

.51 

5.0 

76.15 

94.89 

108.93 

116.43 

5.0 

.50 

.53 

2.15 

Hi.  23 

38.51 

60.5s 

74.17 

.50 

Dayi 

>.  190 

110 

100 

9O 

Days. 

Day 

9.     11 

1O 

1) 

8 

7 

6 

Days. 

172 


TABLE  XVII. 

(Continued.) 
Period,  173.31006  days. 


TABLE  XVIII.    ARG.   13. 

Equation^  38".0  [1+sin.  (it  —  a;)]. 
Period,  10.084597  days. 


• 

Days.     5O 

6O 

7O 

SO     Days. 

Days.     O 

1 

2 

3 

4 

5     Days. 

Hays. 

5.0 

76.15 

94.89 

108.93 

116.43 

Davs. 

5.6 

Davs 

.50 

1.53 

2.15 

16.23 

38.50 

60.58 

74^17 

Days 

.50 

5.1 

76.35 

95.06 

109.04 

116.47 

4.9 

.51 

1.47 

2.23 

16.43 

38.74 

60.77 

74.24 

.49 

5.2 

76.56 

95.22 

109.15 

116.50 

4.8 

.52 

1.40 

2.31 

16.62 

38.97 

60.96 

74.31 

.48 

5.3 

76.76      95.39 

109.26 

116.54 

4.7 

.53 

1.34 

2.39 

16.82 

39.21 

61.15 

74.38 

.47 

5.4 

76.96 

95.55 

109.36 

116.57 

4.6 

.54 

1.28 

2.48 

17.02 

39.44 

61.33 

74.45 

.46 

5.5 

77.16 

95.72 

109.47 

116.61 

4.5 

.55 

1.22 

2.56 

17.22 

39.68 

61.52 

74.52 

.45 

5.6 

77.36 

95.88 

109.58 

116.64 

4.4 

.56 

1.16 

2.65 

17.42 

39.92 

61.70 

74.58 

.44 

5.7 

77.57 

96.05 

109.68 

116.68 

4.3 

.57 

1.11 

2.73 

17.62 

40.15 

61.89 

74.65 

.43 

5.8 

77.77 

96.21 

109.79 

116.71 

4.2 

.58 

1.05 

2.82 

17.82 

40.39 

62.07 

74.71 

.42 

5.9 

77.97 

96.38 

109.89 

116.75 

4.1 

.59 

1.00 

2.91 

18.02 

40.62 

62.2G 

74.77 

.41 

6.0 

78.17 

96.54 

110.00 

116.78 

4.0 

.60 

0.94 

3.00 

18.22 

40.86 

62.44 

74.83 

.40 

6.1 

78.37 

96.70 

110.10 

116.81 

3.9 

.61 

0.89 

3.10 

18.42 

41.10 

62.62 

74.89 

.39 

6.2 

78.57 

96.87 

110.21 

116.84 

3.8 

.62 

0.84 

3.19 

18.63 

41.33 

62.80 

74.94 

.38 

6.3 

78.77 

97.03 

110.31 

116.87 

3.7 

.63 

0.79 

3.29 

18.83 

41.57 

62.98 

75.00 

.37 

6.4 

78.97 

97.19 

110.41 

116.90 

3.6 

.64 

0.75 

3.38 

19.04 

41.80 

63.15 

75.05 

.36 

6.5 

79.17 

97.35 

110.51 

116.93 

3.5 

.65 

0.70 

3.48 

19.24 

42.04 

63.33 

75.10 

.35 

6.6 

79.37 

97.51 

110.61 

116.95 

3.4 

.66 

0.66 

3.58 

19.45 

42.28 

63.50 

75.15 

.34 

6.7 

79.57 

97.67 

110.70 

116.98 

3.3 

.67 

0.61 

3.68 

19.65 

42.51 

63.68 

75.20 

.33 

6.8 

79.77 

97.83 

110.80 

117.00 

3.2 

.68 

0.57 

3.78 

19.86 

42.75 

63.85 

75.25 

.32 

6.9 

79.96 

97.99 

110.90 

117.02 

3.1 

.69 

0.53 

3.89 

20.07 

42.98 

64.03 

75.29 

.31 

7.0 

80.16 

98.15 

111.00 

117.04 

3.0 

.70 

0.49 

3.99 

20.28 

43.22 

64.20 

75.34 

.30 

7.1 

80.36 

98.31 

111.09 

117.06 

2.9 

.71 

0.45 

4.10 

20.19 

43.45 

64.37 

75.38 

.29 

7.2 

80.56 

98.46 

111.19 

117.08 

2.8 

.72 

0.42 

4.20 

20.70 

43.69 

64.54 

75.42 

.28 

7.3 

80.76 

98.62 

111.28 

117.10 

2.7 

.73 

0.38 

4.31 

20.91 

43.92 

64.71 

75.46 

.27 

7.4 

80.95 

98.77 

111.38 

117.12 

2.6 

.74 

0.35 

4.42 

21.12 

44.16 

64.88 

75.50 

.26 

7.5 

81.15 

98.93 

111.47 

117.14 

2.5 

.75 

0.32 

4.53 

21.33 

44.39 

65.05 

75.54 

.25 

7.6 

81.35 

99.08 

111.56 

117.16 

2.4 

.76 

0.29 

4.65 

21.5-1 

44.  K2 

65.21 

75.57 

.24 

7.7 

81.54 

99.24 

111.  Bu- 

117.18 

2.3 

.77 

0.27 

4.76 

21.76 

44.85 

65.38 

^5.Gi 

.23 

7.8 

81.74 

99.39 

ll  1.75 

1  17.20 

2.2 

.78 

0.24 

4.88 

21.97 

45.09 

65.54 

75.64 

.22 

7.9 

81.93 

99.55 

111.84 

117.21 

2.1 

.79 

0.22 

4.99 

22.19 

45.32 

65.71 

75.67 

.21 

8.0 

82.13 

99.70 

111.93 

117.23 

2.0 

.80 

0.19 

5.11 

22.40 

45.55 

65.87 

75.70 

.20 

8.1 

82.32 

99.85 

112.02 

117.25 

1.9 

.81 

0.17 

5.23 

22.62 

45.78 

66.03 

75.73 

.19 

8.2 

82.52 

100.00 

112.11 

117.26 

1.8 

.82 

0.15 

5.36 

22.83 

46.01 

6C.18 

75.75 

.18 

8.3 

82.71 

100.15 

112.20 

117.28 

1.7 

.83 

0.13 

5.48 

23.05 

46.2o 

66.34 

75.78 

.17 

8.4 

82.91 

100.30 

112.28 

117.29 

1.6 

.84 

0.11 

5.61 

23.26 

46.48 

66.49 

75.80 

;16 

8.5 

83.10 

100.45 

112.37 

117.31 

1.5 

.85 

0.09 

5.73 

23.48 

46.71 

66.65 

75.83 

.15 

8.6 

83.29 

100.60 

1  12.45 

117.32 

1.4 

.86 

0.08 

5.86 

23.70 

46.94 

66.80 

75.85 

.14 

8.7 

83.48 

100.75 

112.54 

117.33 

1.3 

.87 

0.06 

5.98 

23.92 

47.17 

66.96 

75.87 

.13 

8.8 

83.68 

100.90 

112.62 

117.34 

1.2 

.88 

0.05 

6.11 

24.14 

47.40 

67.11 

75.89 

.12 

8.9 

83.87 

101.04 

112.71 

117.35 

1.1 

.89 

0.04 

6.24 

24.36 

47.63 

67.26 

75.90 

.11 

9.0 

84.06 

101.19 

112.79 

117.36 

1.0 

.90 

0.03 

6.37 

24.58 

47.86 

67.41 

75.92 

.10 

9.1 

84.25 

101.34 

112.87 

117.37 

0.9 

.91 

0.02 

6.50 

24.80 

48.09 

67.56 

75.93 

.09 

9.2 

84.45 

101.48 

112.95 

117.38 

0.8 

.92 

0.02 

6.64 

25.02 

48.32 

67.71 

75.95 

.08 

9.3 

84.64    101.63 

113.03 

117.38 

0.7 

.93 

0.01 

6.77 

25.24 

48.55 

67.86 

75.96 

.07 

9.4 

84.83 

101.77 

113.11 

117.39 

0.6 

.94 

0.01 

6.91 

25.47 

48.77 

68.00 

75.97 

.06 

9.5 

85.02 

101.92 

113.19 

117.39 

0.5 

.95 

0.00 

7.04 

25.69 

49.00 

68.15 

75.98 

.05 

9.6 

85.21 

102.06 

113.27 

117.40 

0.4 

.96 

0.00 

7.18 

25.92 

49.23 

68.29 

75.99 

.04 

9.7 

85.41 

102.21 

113.35 

117.40 

0.3 

.97 

0.00 

7.32 

26.14 

49.45 

68.44 

75.99 

.03 

9.8 

85.60 

102.35 

113.43 

117.40 

0.2 

.98 

0.01 

7.46 

26.37 

49.68 

68.58 

76.00 

.02 

9.9 

85.79    102.49 

113.50 

117.40 

0.1 

.99 

0.01 

7.60 

26.59 

49.90 

68.72 

76.00 

.01 

10.0 

85.98 

102.63 

113.58 

1  17.40 

0.0 

1.00 

0.02 

7.74 

26.82 

50.13 

68.86 

76.00 

.00 

Days.  12O 

no 

100 

9O    Days. 

Days.    11 

10 

9 

8 

7 

6    Days. 

173 


TABLE  XIX.    ARGUMENT  14. 

Equation  =  28".8  [1  —  sin.  (2<  +  z  —  *)]. 
Period,  29.263279  days. 


Days.        O 

1 

2 

3 

4 

5 

6 

r 

8 

9     Days. 

i>m. 
.00 

57.50 

57.33 

55.86 

53.13 

49.27 

44.50 

38.99 

33.02 

26.85 

20.77 

I'ays. 

1.00 

.01 

57.51 

57.32 

55.84 

53.10 

49.23 

44.45 

38.93 

32.96 

26.79 

20.71 

.99 

.02 

57.52 

57.31 

55.82 

53.07 

49.19 

44.40 

38.87 

32.90 

26.73 

20.65 

.98 

.03 

57.52 

57.30 

55.79 

53.03 

49.14 

44.34 

38.82 

32.84 

26.67 

20.59 

.97 

.04 

57.53 

57.30 

55.77 

53.00 

49.10 

44.29 

38.76 

32.78 

26.60 

20.53 

.96 

.05 

57.53 

57.29 

55.75 

52.97 

49.05 

44.24 

38.70 

32.72 

26.54 

20.47 

.95 

.06 

57.54 

57.28 

55.73 

52.93 

49.01 

44.18 

38.64 

32.65 

26.48 

20.42 

.94 

.07 

57.54 

57.27 

55.71 

52.90 

48.96 

44.13 

38.59 

32.59 

26.41 

20.36 

.93 

.08 

57.54 

57.26 

55.68 

52.87 

48.92 

44.08 

38.53 

32.53 

26.35 

20.30 

.92 

.09 

57.55 

57.25 

55.66 

52.83 

48.87 

44.02 

38.47 

32.47 

26.29 

20.24 

.91 

.10 

57.55 

57.24 

55.64 

52.80 

48.83 

43.97 

38.41 

32.41 

26.23 

20.18 

.90 

.11 

57.55 

57.23 

55.62 

52.77 

48.78 

43.92 

38.35 

32.35 

26.17 

20.12 

.89 

.12 

57.56 

57.22 

55.60 

52.73 

48.74 

43.86 

38.29 

32.29 

26.11 

20.06 

.88 

.13 

57.56 

57.21 

55.57 

52.70 

48.69 

43.81 

38.23 

32.23 

26.05 

20.00 

.87 

.14 

57.56 

57.20 

55.55 

52.66 

48.65 

43.76 

38.17 

32.16 

25.98 

19.94 

.86 

.15 

57.57 

57.19 

55.53 

52.63 

48.60 

43.71 

38.11 

32.10 

25.92 

19.88 

.85 

.16 

57.57 

57.18 

55.50 

52.59 

48.56 

43.65 

38.06 

32.04 

25.86 

19.83 

.84 

.17 

57.57 

57.17 

55.48 

52.56 

48.51 

43.60 

38.00 

31.97 

85.79 

19.77 

.83 

.18 

57.58 

57.16 

55.46 

52.52 

48.47 

43.55 

37.94 

31.91 

25.75 

19.71 

.88 

.19 

57.58 

57.15 

55.43 

52.49 

48.42 

43.49 

37.88 

31.85 

25.67 

19.65 

.81 

.20 

57.58 

57.14 

55.41 

52.45 

48.38 

43.44 

37.82 

31.79 

25.61 

19.59 

.80 

.21 

57.58 

57.13 

55.39 

52.41 

48.33 

43.39 

37.76 

31.73 

25.55 

19.53 

.79 

.22 

57.58 

57.12 

55.36 

52.38 

48.29 

43.34 

37.70 

31.67 

25.49 

19.47 

.78 

.23 

57.59 

57.11 

55.34 

52.34 

48.24 

43.28 

37.64 

31.61 

25.43 

19.41 

.77 

.24 

57.59 

57.10 

55.31 

52.30 

48.20 

43.23 

37.58 

31.54 

25.36 

19.36 

.76 

.25 

57.59 

57.09 

55.29 

52.27 

48.15 

43.18 

37.52 

31.48 

25.30 

19.30 

.75 

.26 

57.59 

57.08 

55.26 

52.23 

48.11 

43.12 

37.47 

31.42 

25.24 

19.24 

.74 

.27 

57.5!) 

57.06 

55.24 

52.19 

48.06 

43.07 

37.41 

31.35 

25.17 

19.19 

.73 

.28 

57.59 

57.05 

55.21 

52.16 

48.02 

43.02 

37.35 

31.29 

25.11 

19.13 

.72 

.29 

57.60 

57.04 

55.19 

52.12 

47.97 

42.96 

37.29 

3123 

25.05 

19.07 

.71 

.30 

57.60 

57.03 

55.16 

52.08 

47.93 

42.91 

37.23 

31.17 

24.99 

19.01 

.70 

.31 

57.60 

,    57.02 

55.14 

52.04 

47.88 

42.86 

37.17 

31.11 

24.93 

18.05 

.89 

.32 

57.60 

57.01 

55.11 

52.00 

47.84 

42.80 

37.11 

31.05 

24.87 

18.89 

.68 

.33 

57.60 

56.99 

55.09 

51.97 

47.79 

42.75 

37.05 

30.99 

24.81 

18.83 

.67 

.34 

57.60 

56.98 

55.06 

51.93 

47.75 

42.70 

36.99 

30.93 

24.74 

18.78 

.66 

.35 

57.60 

56.97 

55.03 

51.89 

47.70 

42.64 

36.93 

30.87 

24.68 

18.72 

.65 

.36 

57.60 

56.95 

55.01 

51.85 

47.66 

42.69 

36.88 

30.NO 

24.62 

18.66 

.64 

.37 

57.60 

56.94 

54.98 

51.81 

47.61 

42.53 

36.82 

30.74 

24.55 

18.61 

.63 

.38 

57.60 

56.93 

54.96 

51.78 

47.56 

42.48 

36.76 

30.68 

24.49 

18.55 

.82 

.39 

57.60 

56.91 

54.93 

51.74 

47.52 

42.42 

36.70 

8ft63 

24.43 

18.49 

.61 

.40 

57.60 

56.90 

54.90 

51.70 

47.47 

42.37 

36.6  I 

30.56 

24.37 

18.43 

.60 

.41 

57.60 

56.89 

54.87 

51.66 

47.43 

42.31 

86.58 

30.50 

24.31 

18.31 

.59 

.42 

57.59 

56.87 

54.85 

51.62 

47.38 

42.26 

36.52 

30.4  1 

24.25 

18.31 

.58 

.43 

57.59 

56.86 

5&89 

51.59 

47.33 

42.20 

36.46 

30.3N 

24.19 

18.26 

.57 

.44 

57.59 

56.84 

54.79 

51.55 

47.29 

42.15 

36.40 

80.81 

24.13 

18.20 

.56 

.45 

57.59 

56.83 

54.77 

51.51 

47.24 

42.09 

36.3  1 

3055 

24.07 

18.14 

.55 

.46 

57.5!) 

56.81 

54.74 

51.47 

47.19 

42.04 

36.28 

30.19 

24.00 

18.09 

.54 

.47 

57.59        68.80 

f>4.7  1 

51.43 

47.14 

41.981       36.22 

80.12 

23.94 

18.03 

,r>:i 

'.48 

;,7.:>s       56.78 

54.69 

51.40 

47.09 

41.93 

36.16 

8Q.06 

23.88 

17.98 

.52 

.4!) 

r.7.:>s        56.77 

54.66 

51.36 

47.04 

41.87 

36.10 

30.00 

23.82 

17.92 

.51 

.50 

57.  5><        56.75 

51.63 

M.32 

46.99 

41.82 

36.04 

29.94 

23.76 

17.86 

.50 

Days.      29 

28 

27 

26 

25 

24 

23 

22 

21 

2O  Days. 

174 


TABLE  XIX.    ARGUMENT   14. 


Equation  =  28".8  [1— sin.  (2<-j-«  —  a)]. 
Period,  29.263279  days. 


Days.       O 

1 

2 

3 

4 

a 

6 

7 

8 

9    Days. 

Days. 

It 

f 

a 

II 

it 

• 

• 

I  lavs 

.50 

57.58 

56.75 

54.63 

51.32 

46.99 

41.82 

36.04 

29.94 

23.76 

17.86 

.50 

.51 

57.58 

56.74 

54.60 

51.28 

46.94 

41.76 

35.98 

29.88 

23.70 

17.80 

.49 

.52 

57.58 

56.72 

54.57 

51.24 

46.89 

41.71 

35.92 

29.82 

23.64 

17.74 

.48 

.53 

57.57 

56.71 

54.55 

51.20 

46.85 

41.65 

35.86 

29.76 

23.58 

17.69 

.47 

.54 

57.57 

56.69 

54.52 

51.17 

46.80 

41.60 

35.80 

29.69 

23.52 

17.63 

.46 

.55 

57.57 

56.68 

54.49 

51.13 

46.75 

41.54 

35.74 

29.63 

23.46 

17.57 

.45 

.56 

57.57 

56.66 

54.46 

51.09 

46.70 

41.49 

35.68 

29.57 

23.40 

17.52 

.44 

.57 

57.57 

56.65 

54.44 

51.05 

46.65 

41.43 

35.62 

29.50 

23.34 

17.46 

.43 

.58 

57.56 

56.63 

54.41 

51.01 

46.60 

41.38 

35.56 

29.44 

23.28 

17.41 

.42 

.59 

57.56 

56.62 

54.38 

50.97 

46.55 

41.32 

35.50 

29.38 

23.22 

17.35 

.41 

.60 

57.56 

56.60 

54.35 

50.93 

46.50 

41.26 

35.44 

29.32 

23.16 

17.29 

.40 

.61 

57.56 

56.58 

54.32 

50.89 

46.45 

41.21 

35.38 

29.26 

23.10 

17.23 

.39 

.62 

57.55 

56.57 

54.29 

50.85 

46.40 

41.15 

35.32 

29.20 

23.04 

17.17 

.38 

.63 

57.55 

56.55 

54.27 

50.81 

46.36 

41.10 

35.26 

29.14 

22.98 

17.12 

.37 

.64 

57.55 

56.53 

54.24 

50.77 

46.31 

41.04 

35.20 

29.07 

22.92 

17.06 

.36 

.65 

57.54 

56.52 

54.21 

50.73 

46.26 

40.98 

35.14 

29.01 

22.86 

17.00 

.35 

.66 

57.54 

56.50 

54.18 

50.69 

46.21 

40.93 

35.08 

28.95 

22.80 

16.95 

.34 

.67 

57.54 

56.48 

54.15 

50.65 

46.16 

40.87 

35.02 

28.88 

22.74 

16.89 

.33 

.68 

57.53 

56.47 

54.13 

50.61 

46.11 

40.81 

34.96 

28.82 

22.68 

16.84 

.32 

.69 

57.53 

56.45 

54.10 

50.57 

46.06 

40.76 

34.90 

28.76 

22.62 

16.78 

.31 

.70 

57.53 

56.43 

54.07 

50.53 

46.01 

40.70 

34.84 

28.70 

22.56 

16.72 

.30 

.71 

57.52 

56.41 

54.04 

50.49 

45.96 

40.64 

34.78 

28.64 

22.50 

16.66 

.29 

.72 

57.52 

56.39 

54.01 

50.45 

45.91 

40.59 

34.72 

28.58 

22.44 

16.61 

.28 

.73 

57.52 

56.38 

53.98 

50.41 

45.86 

40.53 

34.66 

28.52 

22.38 

16.55 

.27 

.74 

57.51 

56.36 

53.95 

50.37 

45.82 

40.47 

34.60 

28.46 

22.32 

16.50 

.26 

.75 

57.51 

56.34 

53.92 

50.33 

45.77 

40.42 

34.54 

28.40 

22.26 

16.44 

.25 

.76 

57.50 

56.32 

53.89 

50.28 

45.72 

40.36 

34.47 

28.33 

22.20 

16.38 

.24 

.77 

57.50 

56.30 

53.86 

50.21 

45.67 

40.30 

34.4! 

28.27 

22.14 

16.:*3 

.23 

.78 

57.49 

56.29 

53.83 

50.20 

45.62 

40.25 

34.35 

28.21 

'22.08 

16.27 

.22 

.79 

57.49 

56.27 

53.80 

50.16 

45.57 

40.19 

34.29 

28.15 

22.02 

16.22 

.21 

.80 

57.48 

56.25 

53.77 

50.12 

45.52 

40.13 

34.23 

28.09 

21.96 

16.16 

.20 

.81 

57.47 

56.23 

53.74 

50.08 

45.47 

40.07 

34.17 

28.03 

21.90 

16.10 

.19 

.82 

57.47 

56.21 

53.71 

50.04 

45.42 

40.02 

34.11 

27.97 

21.84 

16.05 

.18 

.83 

57.46 

56.19 

5.J.68 

50.00 

45.37 

39.96 

31.05 

27.!))        21.78 

15.99 

.17 

.84 

57.46 

56.18 

53.65 

49.95 

45.32 

39.90 

33.99 

27.84 

21.72 

15.94 

.16 

.85 

57.45 

56.16 

53.62 

49.91 

45.27 

39.85 

33.93 

27.78 

21.66 

15.88 

.15 

.86 

57.45 

56.14 

53.59 

49.87 

45.22 

39.79 

33.86 

27.72 

21.60 

15.83 

.14 

.87 

57.44 

56.12 

53.55 

49.83 

45.17 

39.73 

33.80 

27.65 

21.54 

15.77 

.13 

.88 

57.43 

56.10 

53.52 

49.78 

45.12 

39.68 

33.74 

27.59 

21.48 

15.72 

.12 

.89 

57.42 

56.08 

53.49 

49.74 

45.07 

39.62 

33.68 

27.53 

21.42 

15.66 

.11 

.90 

57.41 

56.06 

53.46 

49.70 

45.02 

39.56 

33.62 

27.47 

21.36 

15.61 

.10 

.91 

57.40 

56.04 

53.43 

49.66 

44.97 

39.50 

33.56 

27.41 

21.30 

15.55 

.09 

.92 

57.40 

56.02 

53.40 

49.62 

44.92 

39.45 

33.50 

27.35 

21.24 

15.50 

.08 

.93 

57.39 

56.00 

53.36 

49.57 

44.86 

39.39 

33.44 

27.29 

21.18 

15.44 

.07 

.94 

57.39 

55.98 

53.33 

49.53 

44.81 

39.33 

33.38 

27.22 

21.12 

15.39 

.06 

.95 

57.38 

55.96 

53.30 

49.49 

44.76 

39.28 

33.32 

27.16 

21.07 

15.33 

.05 

.96 

57.37 

55.94 

53.26 

49.44 

44.71 

39.22 

33.26 

27.10 

21.01 

15.28 

.04 

.97 

57.36 

55.92 

53.23 

49.40 

44.65 

39.16 

33.20 

27.03 

20.95 

15.22 

.03 

.98 

57.35 

55.90 

53.20 

49.36 

44.60 

39.11 

33.14 

26.97 

20.89 

15.17 

.02 

.99 

57.34 

55.88 

53.16 

49.31 

44.55 

39.05 

33.08 

26.91 

20.83 

15.11 

.01 

1.00 

57.33 

55.86 

53.13 

49.27 

44.50 

38.99 

33.02 

26.85 

20.77 

15.06 

.00 

Days.     29 

28 

27 

26 

25 

24 

23 

22 

21 

2O    Days. 

175 


TABLE  XIX. 

(Continued.) 
Period,  29.263279  days. 


TABLE  XX.  ARG.  15, 

Equation  =  25".0  [1  —  sin.  (2<  +  z)]. 
Period,  14.1916109  days. 


Days.       1O 

11 

Id 

13 

14 

0 

1 

2 

3       Days. 

Day.. 

.00 

15.06 

0.98 

If 

5.77 

2.62 

0.66 

48.06 

49".98 

II 

47.12 

39".  98 

l)ay«. 

1.00 

.01 

15.01 

9.93 

5.73 

2.59 

0.65 

48.10 

49.98 

47.07 

39.89 

.99 

.02 

14.95 

9.89 

5.69 

2.57 

0.64 

48.15 

49.97 

4701 

39.80 

.98 

.03 

14.90 

9.84 

5.66 

2.54 

0.62 

48.19 

49.96 

46.96 

39.71 

.97 

.04 

14.84 

9.79 

5.62 

2.52 

0.61 

48.23 

49.96 

46.91 

39.62 

.96 

.05 

14.79 

9.75 

5.58 

2.49 

0.60 

48.27 

49.95 

46.86 

39.53 

.95 

.06 

14.74 

9.70 

5.55 

2.46 

0.59 

48.31 

49.95 

46.80 

39.14 

.94 

.07 

14.68 

9.66 

5.51 

2.44 

0.57 

48.35 

49.94 

46.75 

39.35 

.93 

.08 

14.63 

9.61 

5.48 

2.41 

0.56 

48.39 

49.93 

46.69 

39.26 

.92 

.09 

14.57 

9.57 

5.44 

2.39 

0.55 

48.43 

49.92 

46.64 

39.17 

.91 

.10 

14.52 

9.52 

5.40 

2.36 

0.54 

48.47 

49.91 

46.58 

39.08 

.90 

.11 

14.47 

9.47 

5.36 

2.34 

0.53 

48.51 

49.90 

46.52 

38.99 

.89 

.12 

14.41 

9.43 

5.33 

2.31 

0.52 

48.54 

49.89 

46.46 

38.90 

.88 

.13 

14.36 

9.38 

5.29 

2.29 

0.51 

48.58 

49.88 

46.41 

38.81 

.87 

.14 

14.31 

9.34 

5.25 

2.26 

0.50 

48.61 

49.87 

46.35 

38.71 

.86 

.15 

14.25 

9.29 

5.22 

2.24 

0.48 

48.65 

49.86 

46.29 

38.62 

.85 

.16 

14.20 

9.25 

5.18 

2.22 

0.47 

48.68 

49.84 

46.24 

38.53 

.84 

.17 

14.15 

9.21 

5.15 

2.19 

0.46 

48.71 

49.83 

46.18 

38.44 

.83 

.18 

14.09 

9.16 

5.11 

2.17 

0.45 

48.75 

49.82 

46.12 

:JN.:{  i 

.82 

.19 

14.04 

9.12 

5.08 

2.14 

0.44 

48.78 

49.80 

46.06 

38.25 

.81 

.20 

13.99 

9.07 

5.04 

2.12 

0.43 

48.82 

49.79 

46.00 

38.16 

.80 

.21 

13.94 

9.02 

5.01 

2.10 

0.42 

48.85 

49.78 

45.94 

38.07 

.79 

.22 

13.88 

8.98 

4.97 

2.08 

0.41 

48.88 

49.76 

45.88 

37.97 

.78 

.23 

13.83 

8.93 

4.94 

2.05 

0.40 

48.92 

49.74 

45.82 

37.88 

.77 

.24 

13.78 

8.89 

4.90 

2.03 

0.39 

48.95 

49.73 

45.76 

37.78 

.76 

.25 

13.72 

8.84 

4.87 

2.00 

0.38 

48.98 

.49.71 

45.69 

37.69 

.75 

.26 

13.67 

8.80 

4.83 

1.98 

0.37 

49.01 

49.69 

45.63 

37.59 

.74 

.27 

13.62 

8.76 

4.80 

1.95 

0.36 

49.04 

49.68 

45.57 

37.50 

.73 

.28 

13.56 

8.71 

4.77 

1.93 

0.35 

49.07 

49.66 

45.50 

37.40 

.72 

.29- 

13.51 

8.67 

4.73 

1.91 

0.34 

49.10 

49.64 

45.44 

37.31 

.71 

.30 

13.46 

8.62 

4.70 

1.89 

0.33 

49.13 

49.62 

45.38 

37.21 

.70 

.31 

13.41 

8.58 

4.67 

1.87 

0.32 

49.16 

49.60 

45.31 

37.11 

.69 

.32 

13.36 

8.53 

4.64 

1.85 

0.31 

49.19 

49.58 

45.25 

37.01 

.68 

.33 

13.31 

8.49 

4.60 

1.83 

0.30 

49.22 

49.56 

45.18 

36.92 

.67 

.34 

13.25 

8.44 

4.57 

1.81 

0.29 

49.25 

49.54 

45.11 

36.82 

.66 

.35 

13.20 

8.40 

4.53 

1.78 

0.28 

49.27 

49.51 

45.05 

36.72 

.65 

.36 

13.15 

8.36 

4.50 

1.76 

0.28 

49.30 

49.49 

44.98 

86.62 

.64 

.37 

13.09 

8.31 

4.47 

1.74 

0.27 

l!).:i.-i 

49.47 

44.91 

3li.  .V{ 

j68 

.38 

13.04 

8.27 

4.43 

1.72 

0.26 

49.85 

49.40 

44.85 

86.43 

.(W 

.39 

12.99 

8.22 

4.40 

1.70 

0.25 

49.38 

49.42 

44.78 

:«;.:(:! 

.61 

.40 

12.94 

8.18 

4.37 

1.68 

0.24 

49.40 

49.40 

44.71 

86.28 

.60 

.41 

12.89 

8.14 

4.34 

1.66 

0.23 

lit.  Iv! 

49.37 

44.64 

86.13 

.59 

.42 

12.84 

8.10 

4.31 

1.64 

0.22 

19.46 

I!).:!.') 

44.57 

36.03 

.58 

.1:: 

l'J.7!t 

8.06 

4.28 

1.62 

0.22 

49.47 

49.33 

44.50 

85.93 

.57 

.44 

12.73 

8.01 

4.24 

1.60 

0.21 

49.49 

49.29 

44.43 

85.83 

.56 

.45 

12.68 

7.97 

4.21 

1.58 

0.20 

49.52 

4937 

44.36 

15.78 

.55 

.46 

12.63 

7.93 

4.18 

i.r.6 

0.20 

49.51 

48.24 

44.29 

:t:>.(;:f 

.54 

.17 

12.57 

7.88 

4.14 

1.51 

0.19 

49.56 

l't.-Jl 

44.22 

86.63 

J58 

.48 

12.52 

7.84 

4.11 

1.52 

0.19 

49.68 

49.19 

44.15 

35.  13 

.52 

.49 

ta.41 

7.«0 

4.M 

1.50 

0.18 

iiu;o 

49.16 

44.08 

35.33 

.51 

.50 

I  -J.lv! 

7.76 

4.05 

1.48 

0.17 

49.62 

49.13 

44.01 

35.23 

.50 

Days.       19 

18 

17 

16 

IS 

IS 

14 

13 

1«       Days. 

176 


TABLE  XIX. 


TABLE  XX.  ARG.  15. 


(  Continued.)                                                Equation  =  25".0  [1  —  sin.  (2*  +  2)]  . 

Period,  29.263279  days.                                                Period,  14.1916109  days. 
*  i 

' 

^ 

Days.       1O 

11 

13 

13 

14 

0 

1 

3 

3       Days. 

Days 

II 

j 

II 

/( 

Days. 

.50 

12.42 

7.76 

4.05 

1.48 

0.17 

49.62 

49.13 

44.01 

35.23 

.50 

.51 

12.37 

7.72 

4.02 

1.46 

0.16 

49.64 

49.10 

43.94 

35.13 

.49 

.52 

12.32 

7.68 

3.99 

1.44 

0.15 

49.66 

49.07 

43.86 

35.03 

.48 

.53 

12.27 

7.64 

3.96 

1.42 

0.15 

49.68 

49.04 

43.79 

34.93 

.47 

.54 

12.22 

7.60 

3.93 

1.40 

0.14 

49.70 

49.01 

43.72 

34.82 

.46 

.55 

12.17 

7.56 

3.89 

1.38 

0.14 

49.71 

48.98 

43.64 

34.72 

.45 

.56 

12.12 

7.51 

3.86 

1.37 

0.13 

49.73 

48.94 

43.57 

34.62 

.44 

.57 

12.07 

7.47 

3.83 

1.35 

0.13 

49.74 

48.91 

43.50 

34.52 

.43 

.58 

12.02 

7.43 

3.80 

1.33 

0.12 

49.75 

48.88 

43.42 

34.41 

.42 

.59 

11.97 

7.39 

3.77 

1.31 

0.12 

49.77 

48.85 

43.35 

34.31 

.41 

.60 

11.92 

7.35 

3.74 

1.29 

0.11 

49.78 

48.82 

43.28 

34.21 

.40 

.61 

11.87 

7.31 

3.71 

1.27 

0.11 

49.79 

48.79 

43.20 

34.11 

.39 

.62 

11.82 

7.27 

3.68 

1.25 

0.10 

49.81 

48.75 

43.13 

34.00 

.38 

.63 

1177 

7.23 

3.65 

1.24 

0.10 

49.82 

48.72 

43.05 

33.90 

.37 

.64 

11.72 

7.19 

3.62 

1.22 

0.09 

49.83 

48.69 

42.97 

33.79 

.36 

.65 

11.67 

7.15 

3.59 

1.20 

0.08 

49.85 

48.65 

42.90 

33.69 

.35 

.66 

11.63 

7.10 

3.56 

1.19 

0.08 

49.86 

48.61 

42.82 

33.59 

.34 

.67 

11.58 

7.06 

3.53 

1.17 

0.07 

49.87 

48.58 

42.75 

33.48 

.33 

.68 

11.53 

7.02 

3.50 

1.15 

0.07 

49.88 

48.54 

42.67 

33.38 

.32 

.69 

11.48 

6.98 

3.47 

1.13 

0.06 

49.89 

48.50 

42.59 

33.27 

.31 

.70 

11.43 

6.94 

3.44 

1.11 

0.06 

49.90 

48.46 

42.51 

33.17 

.30 

.71 

11.38 

6.90 

3.41 

1.09 

0.06 

49.91 

48.42 

42.43 

33.07 

.29 

.72 

11.33 

6.86 

3.38 

1.08 

0.05 

49.92 

48.38 

42.35 

32.96 

.28 

.73 

11.28 

6.82 

3.35 

1.06 

0.05 

49.93 

•       48.34 

42.27 

32.86 

.27 

.74 

11.23 

6.78 

3.33 

1.04 

0.05 

49.94 

48.30 

42.19 

32.75 

.26 

.75 

11.18 

6.74 

3.30 

1.03 

0.04 

49.94 

48.26 

42.11 

32.65 

.25 

.76 

11.14 

•6.70 

3.27 

1.01 

0.04 

49.95 

48.22 

42.02 

32.54 

.24 

.77 

11.09 

6.66 

3.25 

1.00 

0.04 

49.95 

48.18 

41.94 

32.43 

.23 

.78 

11.04 

6.62 

3.22 

0.98 

0.03 

49.96 

48.14 

41.86 

32.33 

.22 

.79 

10.99 

6.58 

3.19 

0.97 

0.03 

49.97 

48.10 

41.78 

32.22 

.21 

.80 

10.94 

6.54 

3.16 

0.95 

0.03 

49.97 

48.06 

41.70 

32.12 

.20 

.81 

10.89 

6.50 

3.13 

0.93 

0.03 

49.97 

48.02 

41.62 

32.01 

.19 

.82 

10.84 

6.46 

3.10 

0.92 

0.03 

49.98 

47.97 

41.53 

31.90 

.18 

.83 

10.79 

6.42 

3.08 

0.90 

0.03 

49.98 

47.93 

41.45 

31.80 

.17 

.84 

10.74 

6.38 

3.05 

0.89 

0.02 

49.98 

47.88 

41.36 

31.69 

.16 

.85 

10.69 

6.34 

3.02 

0.87 

0.02 

49.99 

47.84 

41.28 

31.59 

.15 

.86 

10.65 

6.31 

3.00 

0.86 

0.02 

49.99 

47.79 

41.19 

31.49 

.14 

.87 

10.60 

6.27 

2.97 

0.85 

0.02 

49.99 

47.75 

41.10 

31.38 

.13 

.88 

10.55 

6.23 

2.95 

0.83 

0.01 

50.00 

47.70 

41.02 

31.28 

.12 

.89 

10.50 

6.19 

2.92 

0.82 

0.01 

50.00 

47.66 

40.93 

31.17 

.11 

.90 

10.45 

6.15 

2.89 

0.80 

0.01 

50.00 

47.61 

40.85 

31.06 

.10 

.91 

10.40 

6.11 

2.86 

0.79 

0.01 

50.00 

47.56 

40.76 

30.95 

.09 

.92 

10.35 

6.07 

2.83 

0.77 

0.01 

50.00 

47.51 

40.68 

30.84 

.08 

.93 

10.31 

6.03 

2.81 

0.76 

0.00 

50.00 

47.46 

40.59 

30.73 

.07 

.94 

10.26 

6.00 

2.78 

0.74 

0.00 

49.99 

47.41 

40.51 

30.63 

.06 

.95 

10.22 

5.96 

2.75 

0.73 

0.00 

49.99 

47.37 

40.42 

30.52 

.05 

.96 

10.17 

5.92 

2.73 

0.72 

0.00 

49.99 

47.32 

40.33 

30.41 

.04 

.97 

10.12 

5.89 

2.70 

0.70 

0.00 

49.99 

47.27 

40.25 

30.31 

.03 

.98 

10.08 

5.85 

2.68 

0.69 

0.00 

49.98 

47.22 

40.16 

30.20 

.02 

.99 

10.03 

5.81 

2.65 

0.67 

0.00 

49.98 

47.17 

40.07 

30.09 

.01 

1.00 

9.98 

5.77 

2.62 

0.66 

0.00 

49.98 

47.12 

39.98 

29.98 

.00 

Days.       19 

18 

17 

16 

15 

15 

14 

13 

12       Days. 

177 


TABLE  XX. 

(Continued.) 
Period,  14.1916109  days. 


TABLE  XXI.  ARG.  16. 

Equation  =  21".  —  8"J2  sin.  («  +  *)  +  14".  1  sin.  2  (t  +  x). 
Period,  14.2541847  days. 


Days.      4 

s 

6 

7      Days. 

Days.       O 

1 

2 

3 

4 

Days 

(I 

u 

It 

Days. 

Days. 

.00 

29.98 

18.99 

9.17 

2.41 

1.00 

.00 

36.71 

41.06 

31.34 

22.23 

13.49 

.01 

29.87 

18.88 

9.09 

2.36 

.99 

.01 

36.82 

41.04 

34.23 

22.11 

13.45 

.02 

29.76 

18.78 

9.00 

2.32 

.98 

.02 

36.JI2 

41.02 

34.12 

21.99 

13.40 

.03 

29.65 

18.67 

8.92 

2.27 

.97 

.03 

37.02 

41.00 

34.01 

21.88 

13.36 

.04 

29.54 

18.56 

8.83 

2.23 

.96 

.04 

37.11 

40.98 

33.90 

21.76 

13.31 

.05 

29.43 

18.46 

8.75 

2.18 

.95 

.05 

37.21 

40.96 

33.79 

21.64 

13.27 

.06 

29.32 

18.35 

8.67 

2.14 

.94 

.06 

37.30 

40.94 

33.68 

21.53 

13.23 

.07 

'29.21 

18.24 

8.58 

2.10 

.93 

.07 

37.40 

40.91 

33.57 

21.41 

13.19 

.08 

29.10 

18.14 

8.50 

2.05 

.92 

.08 

37.49 

40.89 

33.46 

21.29 

13.15 

.09 

28.99 

18.03 

8.41 

2.01 

.91 

.09 

37.58 

40.86 

33.34 

21.18 

13.11 

.10 
.11 
.12 
.13 
.14 

28.88 
28.77 
28.66 
28.55 
28.44 

17.92 
17.82 
17.71 
17.61 
17.50 

8.33 

8.25 
8.17 
8.09 
8.01 

1.96 
1.92 
1.88 
1.84 
1.80 

.90 

.89 
.88 
.87 
.86 

.10 
.11 
.12 
.13 
.14 

37.67 
37.76 
37.85 
37.94 
38.02 

40.84 
40.81 
40.78 
40.75 
40.72 

33.23 
33.12 
33.01 
32.89 
32.78 

21.07 
20.95 
20.84 
20.73 
20.61 

13.07 
13.04 
13.00 
12.97 
12.93 

.15 

28.33 

17.39 

7.92 

1.75 

.85 

.16 

28.22 

17.29 

7.84 

1.71 

.84 

.15 

38.11 

40.69 

32.66 

20.50 

12.90 

.17 

28.11 

17.18 

7.76 

1.67 

.83 

.16 

38.19 

40.65 

32.55 

20.39 

12.87 

.18 

28.00 

17.08 

7.68 

1.63 

.82 

.17 

38.28 

40.62 

32.43 

20.28 

12.84 

.19 

27.89 

16.97 

7.60 

1.59 

.81 

.18 

38.36 

40.58 

32.31 

20.17 

12.81 

.19 

38.44 

40.55 

32.19 

20.06 

12.78 

.20 

27.78 

16.87 

7.52 

1.55 

.80 

.21 

27.67 

16.77 

7.44 

1.51 

.79 

.20 

38.52 

40.51 

32.07 

19.95 

12.75 

.22 

27.56 

16.66 

7.36 

1.48 

.78 

.21 

38.60 

40.47 

31.95 

19.84 

12.73 

.23 

27.45 

16.56 

7.29 

1.44 

.77 

.22 

38.68 

40.43 

31.83 

19.73 

12.70 

.24 

27.34 

16.45 

7.21 

1.40 

.76 

.23 

38.75 

40.39 

31.71 

19.62 

12.68 

.24 

38.83 

40.35 

31.59 

19.52 

12.65 

.25 

27.23 

16.35 

7.13 

1.37 

.75 

.26 

27.12 

16.24 

7.06 

1.33 

.74 

.25 

38.90 

40.30 

3  1.47" 

19.41 

12.63 

.27 

27.01 

16.14 

6.98 

1.30 

.73 

.26 

38.98 

40.26 

31.35 

19.30 

12.61 

.28 

26.90 

16.04 

'  6.91 

1.26 

.72 

.27 

39.05 

40.21 

31.23 

19.19 

12.59 

.29 

26.79 

15.93 

6.83 

1.23 

.71 

.28 

39.12 

40.17 

31.11 

19.08 

12.57 

.29 

39.19 

40.12 

30.99 

18.98 

12.55 

.30 

26.68 

15.83 

6.75 

1.19 

.70 

.31 
.32 

.33 
.34 

26.57 
26.46 
26.35 
26.24 

15.73 
15.63 
15.52 
15.42 

6.68 
6.60 
6.53 
6.45 

1.16 
1.13 
1.10 
1.07 

.69 
.68 
.67 
.66 

.30 
.31 
.32 
.33 

39.26 
39.32 
39.39 
39.45 

40.07 
40.02 
39.97 
39.92 

30.87 
30.75 
30.63 
30.51 

18.88 
18.78 
18.68 
18.58 

12.53 
12.51 
12.50 
12.48 

.35 

26.13 

15.32 

6.38 

1.03 

.65 

.34 

39.51 

39.86 

30.39 

18.48 

12.47 

.36 

26.02 

15.22 

6.30 

1.00 

.64 

.37 

25.91 

15.11 

6.23 

0.97 

.63 

.35 

39.57 

39.81 

30.27 

18.38 

12.45 

.38 

25.80 

15.01 

6.16 

0.94 

.62 

.36 

89.69 

:{!).?: 

30.15 

18.28 

12.44 

.39 

25.69 

14.91 

6.08 

o.ei 

.61 

.37 

39.69 

:t!».7( 

30.02 

18.18 

12.43 

.38 

39.75 

39.64 

29.90 

18.08 

12.42 

.40 

25.58 

14.81 

6.01 

0.88 

.60 

.39 

39.81 

39.58 

29.78 

17.98 

12.41 

.41 

25.47 

14.7 

5.94 

0.85 

.59 

.42 

•jf..:ii 

14.6 

5.87 

'0.82 

.58 

.40 

39.87 

39.5-. 

29.65 

17.88 

12.40 

.43 

25.25 

14.5 

5.80 

0.80 

.57 

.41 

39.92 

39.46 

29.53 

17.78 

12.39 

.44 

25.14 

14.4 

5.73 

0.77 

.56 

.42 

39.97 

39.40 

29.41 

17.69 

12.39 

.4.'} 

40.02 

39.34 

29.29 

17.59 

12.38 

.45 

25.0! 

14.3 

5.66 

0.74 

.55 

.44 

40.07 

39.27 

29.17 

17.50 

12.38 

.46 

24.92 

14.2 

5.59 

0.72 

.51 

.47 

^l.M 

14.1 

5.52 

0.69 

.53 

.45 

40.12 

39.21 

29.04 

17.40 

12.38 

.is 

21.71 

14.0 

f>.i.- 

0.67 

.52 

.46 

40.17 

:«».  1  1 

28.92 

17.31 

12.37 

.4!) 

•.M..V 

13.9 

5.38 

0.64 

.51 

.47 

40.22 

39.08 

28.80 

17.22 

12.37 

.50 

•Jt.ls 

13.8 

5.3 

0.61 

.50 

.48 

40.27 

89.01 

28.67 

17.12 

12.37 

Days.     11 

1O 

9 

8     Days. 

.49 
.50 

40.31 
40.36 

:is.<t  i 
38.87 

28.54 

28.42 

17.03 
16.94 

12.37 
12.37 

178 


TABLE  XX. 

(Continued.) 
Period,  14.1916109  days. 


TABLE  XXI.  ARG.  16. 

i 

Equation  =  21".  —  8".2  sin.  (<  +  *)  +  14".l  sin.  2  (t  -f  t). 
Period,  14.2541847  days. 


Days.       4 

ff 

6 

7      Days. 

Days.       O 

1 

2 

» 

4 

.50 

24.48 

13.81 

5.31 

0.61 

Days. 

.50 

Days. 

.50 

40.36 

38".87 

28.42 

16".94 

12.37 

.51 

24.37 

13.71 

5.24 

0.59 

.49 

.51 

40.40 

38.80 

28.29 

16.85 

12.37 

.52 

24.26 

13.61 

5.18 

0.57 

.48 

.52 

40.44 

38.73 

28.17 

16.76 

12.38 

.53 

24.15 

13.51 

5.11 

0.55 

.47 

.53 

40.48 

38.66 

28.05 

16.67 

12.38 

.54 

24.04 

13.42 

5.05 

0.52 

.46 

.54 

40.52 

38.59 

27.92 

16.59 

12.38 

.55 

23.93 

13.32 

4.98 

0.50 

.45 

.55 

40.56 

38.51 

27.80 

.     16.50 

12.39 

.56 

23.82 

13.22 

4.92 

0.48 

.44 

.56 

40.60 

38.44 

27.66 

16.41 

12.40 

.57 

23.71 

13.12 

4.85 

0.45 

.43 

.57 

40.63 

38.36 

27.54 

16.33 

12.41 

.58 

23.60 

13.03 

4.78 

0.43 

.42 

.58 

40.67 

38.29 

27.42 

16.24 

12.42 

.59 

23.49 

12.93 

4.72 

0.41 

.41 

.59 

40.70 

38.21 

27.29 

16.16 

12.43 

.60 
,61 
.62 
.63 
.64 

23.38 
23.27 
23.16 
23.05 
22.94 

12.83 
12.73 
12.63 
12.54 
12.44 

4.65 
4.59 
4.53 
4.47 
4.40 

0.39 
0.37 
0.35 
0.34 
0.32 

.40 
.39 
.38 
.37 
.36 

.60 
.61 
.62 
.63 
.64 

40.74 
40.77 
40.80 
40.83 
40.86 

38.13 

38.05 
37.97 
37.89 
37.81 

27.16 
27.04 
26.91 
26.79 
26.66 

16.08 
16.00 
15.92 

15.84 
15.76 

12.44 
12.45 
12.46 
12.48 
12.49 

.65 

22.83 

12.35 

4.34 

0.30 

.35 

.66 

22.72 

12.25 

4.27 

0.29 

.34 

.65 

40.88 

37.73 

26.54 

15.68 

12.50 

.67 

22.61 

12.16 

4.21 

0.27 

.33 

.66 

40.91 

37.64 

26.41 

15.61 

12.52 

.68 

22.50 

12.06 

4.14 

0.26 

.32 

.67 

40.93 

37.56 

26.29 

15.53 

12.54 

.69 

22.39 

11.97 

4.08 

0.24 

.31 

.68 

40.96 

37.47 

26.16 

15.46 

12.56 

.69 

40.98 

37.39 

26.04 

15.38 

12.58 

.70 

22.28 

11.87 

4.02 

0.22 

.30 

.71 

22.17 

11.78 

3.96 

0.21 

.29 

.70 

41.00 

37.30 

25.91 

15.31 

12.60 

.72 

22.06 

11.69 

3.90 

0.20 

.28 

.71 

41.02 

37.21 

25.78 

15.24 

12.62 

.73 

21.95 

11.59 

3.85 

0.19 

.27 

.72 

41.04 

37.12 

25.66 

15.17 

12.64 

.74 

21.84 

11.50 

3.79 

0.17 

.26 

.73 

41.05 

37.03 

25.53 

15.10 

12.67 

.74 

41.07 

36.94 

25.41 

15.03 

12.69 

.75 

21.73 

11.41 

3.73 

0.16 

.25 

.76 

21.62 

11.3 

3.67 

0.15 

.24 

.75 

41.08 

36.85 

25.28 

14.96 

12.72 

.77 

21.51 

11.22 

3.62 

0.13 

.23 

.76 

41.10 

36.76 

25.16 

14.89 

12.74 

.78 

21.40 

11.12 

3.56 

0.12 

.22 

.77 

41.11 

36.67 

25.03 

14.82 

12.77 

.79 

21.29      11.03 

3.50 

0.11 

•  .21 

.78 

41.12 

36.57 

24.91 

14.76 

12.79 

.79 

41.13 

36.48 

24.78 

14.69 

12.82 

.80 

21.18 

10.94 

3.44 

0.10 

.20 

.81 

.82 
.83 

.84 

21.07 
20.96 
20.85 
20.74 

10.85 
10.7 
10.6 
10.5 

3.39 
3.33 
3.28 
3.22 

0.09 
0.08 
0.08 
0.07 

.19 
.18 
.17 
.16 

.80 

.81 

.82 
.83 

41.14 
41.14 
41.15 
41.15 

36.38 
36.28 
36.19 
36.09 

24.66 
24.53 
24.41 
24.29 

14.62 
14.56 
14.49 
14.43 

12.85 
12.88 
12.92 
12.95 

.85 

20.63 

10.4 

3.17 

0.06 

.15 

.84 

41.16 

35.99 

24.16 

14.37 

12.99 

.86 

20.52 

10.4 

3.11 

0.06 

.14 

.87 

20.41 

10.3 

3.06 

005 

.13 

.85 

41.16 

35.89 

24.04 

14.31 

13.02 

.88 

20.30 

10.2 

3.01 

0.05 

.12 

.86 

41.16 

35.79 

23.92 

14.25 

13.06 

.89 

20.19 

10.1 

2.95 

0.04 

.11 

.87 

41.16 

35.69 

23.79 

14.19 

13.09 

.88 

41.16 

35.59 

23.67 

14.13 

13.12 

.90 

20.05 

10.0 

2.90 

0.03 

.10 

.89 

41.16 

35.49 

23.55 

14.07 

13.16 

.91 

19.91 

9.9 

2.85 

0.03 

.09 

.92 

19.86 

9.8 

2.80 

0.03 

.08 

.90 

41.16 

35.39 

23.43 

14.01 

13.19 

.93 

19.7E 

9.7 

2.75 

0.02 

.07 

.91 

41.15 

35.29 

23.31 

13.96 

13.23 

.94 

19.64 

9.6 

2.70 

0.02 

.06 

.92 

41.14 

35.19 

23.19 

13.90 

13.27 

.93 

41.13 

35.09 

23.07 

13.85 

13.31 

.95 

19.5S 

9.6 

2.65 

0.01 

.05 

.94 

41.12 

34.98 

22.95 

13.79 

13.35 

.96 

19.43 

9.5 

2.61 

0.01 

.04 

.97 

19.3$ 

9.4 

2.56 

0.01 

.03 

.95 

41.11 

34.88 

22.83 

13.74 

13.40 

.98 

19.21 

9.3 

2.51 

0.00 

.02 

.96 

41.10 

34.77 

22.71 

13.69 

13.44 

.99 

19.1C 

9.2 

2.46 

0.00 

.01 

.97 

41.09 

34.67 

22.59 

13.64 

13.48 

1.00 

18.9« 

9.1 

2.41 

0.00 

.00 

.98 

41.08 

34.56 

22.47 

13.59 

13.53 

Days.     1  1 

1O 

9 

8     Days. 

.99 
1.00 

41.07 
41.06 

34.45 
34.34 

22.35 
22.23 

13.54 
13.49 

13.57 
13.62 

179 


TABLE  XXI.    ARGUMENT  16. 


Equation  =  21".  —  8"3  sin.  (t  -f  *)  -f  14".l  sin.  2  (t  -f  *). 
Period,  14.2541847  days. 


Days.        3 

6 

7 

8 

9 

1O 

11 

13 

13 

14 

Days. 

.00 

13.62 

21.00 

28.38 

28.51 

19.77 

7.66 

6.94 

II 

5.28 

18".97 

33.88 

.01 

13.67 

21.09 

28.43 

28.46 

19.65 

7.55 

0.93 

5.38 

19.13 

34.00 

.02 

13.72 

21.17 

28.47 

28.41 

19.53 

7.44 

0.92 

5.48 

19.29 

34.12 

.03 

13.77 

21.26 

28.52 

28.36 

19.41 

7.34 

0.91 

5.58 

19.45 

34.24 

.04 

13.82 

21.35 

28.56 

28.31 

19.29 

7.23 

0.90 

5.69 

19.60 

34.36 

.05 

13.87 

21.44 

28.60 

28.26 

19.17 

7.13 

0.89 

5.79 

19.76 

34.48 

.06 

13.92 

21.53 

28.65 

28.20 

19.05 

7.02 

0.88 

5.90 

19.92 

34.60 

.07 

13.97 

21.61 

28.69 

28.15 

18.93 

6.92 

0.87 

6.00 

20.08 

34.71 

.08 

14.02 

21.70 

28.73 

28.10 

18.81 

6.81 

0.86 

6.11 

20.24 

34.83 

.09 

14.08 

21.79 

28.77 

28.04 

18.69 

6.71 

0.85 

6.22 

20.40 

34.95 

.10 

14.13 

21.88 

28.81 

27.99 

18.57 

6.61 

0.84 

6.33 

20.56 

35.06 

.11 

14.18 

21.97 

28.85 

27.93 

18.45 

6.51 

0.84 

6.44 

20.72 

35.17 

.12 

14.23 

22.05 

28.89 

27.87 

18.33 

6.41 

0.83 

6.55 

20.88 

35.28 

.13 

14.29 

22.14 

28.92 

27.81 

18.21 

6.31 

0.83 

6.66 

21.04 

35.39 

.14 

14.34 

22.23 

28.96 

27.75 

18.08 

6.21 

0.83 

6.77 

21.20 

35.50 

.15 

14.40 

22.32 

28.99 

27.69 

17.96 

6.11 

0.84 

6.89 

21.36 

35.61 

.16 

14.46 

22.40 

29.02 

27.63 

17.84 

•      6.01 

0.84 

7.00 

21.52 

35.72 

.17 

14.51 

22.49 

29.06 

27.57 

17.71 

5.91 

0.84 

7.12 

21.68 

35.83 

.18 

14.57 

22.58 

29.09 

27.50 

17.59 

5.82 

0.85 

7.23 

21.84 

35.94 

.19 

14.63 

22.66 

29.12 

27.44 

17.47 

5.72 

0.85 

7.35 

22.00 

36.05 

.20 

14.69 

22.75 

29.15 

27.38 

17.34 

5.62 

0.86 

7.47 

22.16 

36.16 

.21 

14.75 

22.84 

29.18 

27.32 

17.22 

5.53 

0.87 

7.59 

22.32 

36.26 

.22 

14.81 

22.92 

29.21 

27.25 

17.09 

5.43 

0.88 

7.71 

22.48 

36.36 

.23 

14.87 

23.01 

29.24 

27.18 

16.97 

5.34 

0.89 

7.83 

22.64 

36.46 

.24 

14.93 

23.09 

29.26 

27.11 

16.84 

5.25 

0.90 

7.95 

22.80 

36.56 

.25 

14.99 

23.18 

29.29 

27.04 

16.72 

5.15 

0.92 

8.07 

22.96 

36.66 

.26 

15.06 

23.27 

29.32 

26.97 

16.59 

5.06 

0.93 

8.19 

23.12 

36.76 

.27 

15.12 

23.35 

29.34 

26.90 

16.47 

4.97 

0.94 

8.32 

23.28 

36.86 

.28 

15.18 

23.44 

29.36 

26.83 

16.34 

4.88 

0.96 

8.44 

23.44 

36.96 

.29 

15.25 

23.53 

29.38 

26.76 

16.22 

4.79 

0.98 

8.56 

23.60 

37.06 

.30 

15.31 

23.61 

29.40 

26.69 

16.09 

4.70 

1.00 

8.69 

23.76 

37.16 

.31 

15.38 

23.70 

29.42 

26.62 

15.97 

4.61 

1.02 

8.82 

23.92 

37.25 

.32 

15.44 

23.78 

29.44 

26.54 

15.84 

4.53 

1.04 

8.94 

24.08 

37.34 

.33 

15.51 

23.86 

29.46 

26.47 

15.72 

4.44 

1.06 

9.07 

24.24 

37.43 

.34 

15.58 

23.95 

29.47 

26.39 

15.59 

4.36 

1.09 

9.20 

24.39 

37.52 

.35 

15.65 

24.03 

29.49 

26.31 

15.47 

4.28 

1.11 

9.33 

24.55 

37.61 

.36 

15.72 

24.11 

29.51 

26.24 

15.31 

4.19 

1.14 

9.46 

24.71 

37.70 

.37 

15.79 

24.20 

29.52 

26.16 

15.22 

4.11 

1.17 

9.59 

24.87 

37.79 

38 

15.86 

24.28 

29.54 

26.08 

15.09 

4.03 

1.20 

9.72 

25.02 

:f7.Ns 

.39 

15.93 

24.36 

29.55 

26.00 

14.97 

3.95 

1.23 

9.85 

25.18 

37.97 

.40 

16.00 

24.44 

29.56 

25.92 

14.84 

3.87 

1.26 

9.98 

25.34 

38.06 

.41 

16.07 

24.52 

29.57 

25.84 

14.72 

3.79 

1.30 

10.11 

25.50 

38.14 

.42 

16.14 

24.60 

29.58 

25.76 

14.59 

3.71 

1.33 

10.25 

25.65 

38.22 

.43 

16.22 

24.68 

29.59 

25.67 

14.47 

3.64 

1.37 

10.38 

25.81 

38.30 

.44 

16.30 

24.76 

29.59 

25.59 

14.34 

3.56 

1.41 

10.52 

25.97 

38.38 

.45 

16.37 

24.84 

29.60 

25.50 

14.22 

3.49 

1.44 

10.66 

26.12 

38.46 

.46 

16.45 

24.92 

29.61 

25.41 

14.09 

3.41 

1.48 

10.79 

26.28 

38.54 

.47 

16.53 

25.00 

29.61 

25.33 

13.97 

3.34 

1.52 

10.93 

26.43 

saea 

.48 

16.60 

25.08 

29.62 

25.24 

13.84 

3.27 

1.56 

11.07 

26.59 

38.69 

.49 

16.68 

25.16 

29.63 

25.15 

13.72 

3.20 

1.60 

11.21 

26.74 

38.77 

.50 

16.76 

25.24 

29.63 

25.06 

13.59 

3.13 

1.64 

11.35 

26.89 

38.85 

180 


TABLE  XXI.    ARGUMENT  16. 

Equation  =  21".  —  8".2  sin.  (t  -f  x)  -f  14".l  sin.  2  (t  +  z). 
Period,  14.2541847  days. 


Days.        5 

6 

7 

8 

9 

10 

11 

13 

13 

14 

Days. 

.50 

16.76 

25.24 

29.63 

25.06 

13.59 

• 

3.13 

i'.64 

II 

11.35 

26.89 

38.85 

.51 

16.84 

25.32 

29.63 

24.97 

13.47 

3.06 

1.69 

11.49 

27.04 

38.92 

.52 

16.92 

25.40 

29.63 

24.88 

13.34 

2.99 

1.74 

11.63 

27.20 

38.99 

.53 

17.00 

25.47 

29.62 

24.78 

13.22 

2.92 

1.78 

11.77 

27.35 

39.06 

.54 

17.08 

25.55 

29.62 

24.69 

13.09 

2.86 

1.83 

11.91 

27.50 

39.13 

.55 

17.16 

25.63 

29.62 

24.60 

12.97 

2.79 

1.88 

12.06 

27.65 

39.20 

.56 

17.24 

25.70 

29.61 

24.50 

12.84 

2.73 

1.93 

12.20 

27.80 

39.26 

.57 

17.32 

25.78 

29.61 

24.41 

12.72 

2.66 

1.98 

12.35 

27.95 

39.33 

.58 

17.40 

25.85 

29.61 

24.31 

12.60 

2.60 

2.03 

12.49 

28.10 

39.40 

.59 

17.48 

25.93 

29.60 

24.22 

12.47 

2.54 

2.08 

12.64 

'  28.25 

39.46 

.60 

17.56 

26.00 

29.60 

24.12 

12.35 

2.48 

2.13 

12.79 

28.40 

39.53 

.61 

17.64 

26.07 

29.59 

24.02 

12.23 

2.42 

2.19 

12.94 

28.55 

39.59 

.62 

17.72 

26.14 

29.58 

23.92 

12.10 

2.36 

2.25 

13.08 

28.70 

39.65 

.63 

17.80 

26.21 

29.57 

23.82 

11.98 

2.30 

2.31 

13.23 

28.85 

39.71 

.64 

17.88 

26.28 

29.56 

23.72 

11.86 

2.25 

2.37 

13.38 

29.00 

39.77 

.65 

17.97 

26.35 

29.54 

23.62 

11.74 

2.19 

2.43 

13.53 

29.14 

39.83 

.66 

18.05 

26.42 

29.53 

23.52 

11.61 

2.14 

2.49 

13.68 

29.29 

39.88 

.67 

18.13 

26.49 

29.51 

23.42 

11.49 

2.08 

2.55 

13.83 

29.44 

39.94 

.68 

18.22 

26.55 

29.50 

23.32 

11.37 

2.05 

2.61 

13.98 

29.58 

39.99 

.69 

18.30 

26.62 

29.48 

23.22 

11.25 

1.98 

2.68 

14.13 

29.73 

40.05 

.70 

18.39 

26.69 

29.47 

23.12 

11.13 

1.93 

2.74 

14.28 

29.88 

40.10 

.71 

18.47 

26.75 

29.45 

23.01 

11.01 

1.88 

2.81 

14.43 

30.02 

40.15 

.72 

18.55 

26.82 

29.43 

22.91 

10.89 

1.83 

2.88 

14.58 

30.16 

40.20 

.73 

18.64 

26.88 

29.41 

22.80 

10.77 

1.79 

2.95 

14.73 

30.30 

40.25 

.74 

18.72 

26.94 

29.39 

22.70 

10.65 

1.74 

3.02 

14.88 

30.44 

40.29 

.75 

18.81 

27.01 

29.37 

22.59 

10.53 

1.70 

3.10 

15.01 

30.58 

40.34 

.76 

18.90 

27.07 

29.35 

22.48 

10.41 

1.66 

3.17 

15.19 

30.72 

40.38 

.77 

18.98 

27.13 

29.32 

22.38 

10.29 

1.61 

3.25 

15.34 

30.86 

40.43 

.78 

19.07 

27.19 

29.30 

22.27 

10.17 

1.57 

3.32 

15.50 

31.00 

40.47 

.79 

19.16 

27.25 

29.28 

22.16 

10.05 

1.53 

3.40 

15.65 

31.14 

40.51 

.80 

19.25 

27.31 

29.25 

22.05 

9.93 

1.49 

3.48 

15.81 

31.28 

40.55 

.81 

19.34 

27.37 

29.22 

21.94 

9.81 

1.45 

3.56 

15.J6 

31.42 

40.59 

.82 

19.43 

27.43 

29.19 

21.83 

9.69 

1.42 

3.64 

16.12 

31.56 

40.62 

.83 

19.51 

27.49 

29.16 

21.72 

9.58 

1.38 

3.72 

16.27 

31.69 

40.66 

.84 

19.59 

27.54 

29.13 

21.61 

9.46 

1.35 

3.81 

16.43 

31.83 

40.69 

.85 

19.68 

27.60 

29.10 

21.50 

9.35 

1.32 

3.89 

16.59 

31.96 

40.72 

.86 

19.77 

27.65 

29.06 

21.38 

9.23 

1.28 

3.97 

16.74 

32.09 

40.76 

.87 

19.85 

27.71 

29.03 

21.27 

9.12 

1.25 

4.06 

1690 

32.23 

40.79 

.88 

19.94 

27.77 

29.00 

21.16 

9.00 

1.22 

4.15 

17.06 

32.36 

40.82 

.89 

20.03 

27.82 

28.96 

21.04 

8.89 

1.19 

4.24 

17.22 

32.49 

40.85 

.90 

20.12 

27.87 

28.93 

20.93 

8.77 

1.16 

4.33 

17.38 

32.62 

40.88 

.91 

20.21 

27.92 

28.89 

20.82 

8.66 

1.14 

4.42 

17.54 

32.75 

40.90 

.92 

20.30 

27.97 

28.85 

20.70 

8.54 

1.11 

4.51 

17.70 

32.88 

40.92 

.93 

20.38 

28.02 

28.81 

20.59 

8.43 

1.09 

4.60 

17.86 

33.01 

40.95 

.94 

20.47 

28.07 

28.77 

20.47 

8.32 

1.07 

4.70 

18.01 

33.14 

40.97 

.95 

20.56 

28.12 

28.73 

20.35 

8.21 

1.04 

4.79 

18.17 

33.26 

40.99 

.96 

20.65 

28.17 

28.68 

20.24 

8.10 

1.02 

4.89 

18.33 

33.39 

41.01 

.97 

20.74 

28.22 

28.64 

20.12 

7.99 

1.00 

4.98 

18.49 

33.51 

41.03 

.98 

20.82 

28.28 

28.60 

20.00 

7.88 

0.98 

5.08 

18.65 

33.64 

41.05 

.99 

20.91 

28.33 

28.55 

19.89 

7.77 

0.96 

5.18 

18.81 

33.76 

41.07 

1.00 

21.00 

28.38 

28.51 

19.77 

7.66 

0.94 

5.28 

18.97 

33.88 

41.08 

181 


TABLE  XXII.    ARGUMENT  17. 

Equation  =  17".2  [1  +  sin.  (<  +  z)]. 
Period,  27.3216794  days. 


Days.        O 

1 

3 

3 

4 

3 

6 

7 

8 

9     Days. 

Days. 

.00 

0.05 

0.20 

1.23 

It 

3.12 

5.74 

8.97 

12.64 

16.5- 

20.4 

24.24 

Days. 

1.00 

.01 

0.05 

0.21 

1.24 

3.14 

5.77 

9.00 

12.66 

16.5 

20.5 

24.28 

.99 

.02 

0.04 

0.21 

1.26 

3.16 

5.80 

9.04 

12.7S 

16.60 

20.5 

24.3 

.98 

.03 

0.04 

0.22 

1.27 

3.19 

5.83 

9.07 

12.76 

16.64 

20.5 

24.35 

.97 

.04 

0.04 

0.23 

1.29 

3.21 

5.86 

9.11 

12.7S; 

16.68 

20.6 

24.38 

.96 

.05 

0.03 

0.23 

1.30 

3.23 

5.89 

9.15 

12.83 

16.7 

20.6 

24.42 

.95 

.06 

0.03 

0.24 

1.32 

3.26 

5.92 

9.18 

12.8*7 

16.75 

20.7 

24.4f 

.94 

.07 

0.03 

0.25 

1.33 

3.28 

5.95 

9.22 

12.90 

16.79 

20.7 

24.49 

.93 

.08 

0.03 

0.25 

1.35 

3.30 

5.98 

9.25 

12.94 

16.83 

20.78 

24.5: 

.92 

.09 

0.02 

0.26 

1.36 

3.33 

6.01 

9.29 

12.98 

16.87 

20.82 

24.56 

.91 

.10 

0.02 

0.27 

1.38 

3.35 

6.04 

9.32 

13.02 

16.9 

20.86 

24.60 

.90 

.11 

0.02 

0.28 

1.40 

3.37 

6.07 

9.35 

13.0f 

lfi.95 

20.90 

24.64 

.89 

.12 

0.02 

0.28 

1.41 

3.39 

6.10 

9.39 

13.10 

16.99 

20.94 

24.67 

.88 

.13 

0.01 

0.29 

1.43 

3.42 

6.13 

9.42 

13.1 

17.03 

20.98 

24.71 

.87 

.14 

0.01 

0.30 

1.44 

3.44 

6.16 

9.46 

13.17 

17.07 

21.0 

24.74 

.86 

.15 

0.01 

0.30 

1.46 

3.47 

6.19 

9.50 

13.2 

17.10 

21.05 

24.78 

.85 

.16 

0.01 

0.31 

1.47 

3.49 

6.23 

9.53 

13.25 

17.14 

21.09 

24.81 

.84 

.17 

0.01 

0.32 

1.49 

3.52 

6.26 

9.57 

13.28 

17.18 

21.12 

24.84 

.83 

.18 

0.00 

0.32 

1.51 

3.54 

6.29 

9.60 

13.32 

17.22 

21.16 

24.88 

.82 

.19 

0.00 

0.33 

1.52 

3.57 

6.32 

9.64 

13.36 

17.26 

21.20 

24.91 

.81 

.20 

0.00 

0.34 

1.54 

3.59 

6.35 

9.67 

13.40 

17.30 

21.24 

24.95 

.80 

.21 

0.00 

0.35 

1.56 

3.61 

6.38 

9.71 

13.44 

17.34 

21.28 

24.99 

.79 

.22 

0.00 

0.36 

1.58 

3.64 

6.41 

9.74 

13.48 

17.38 

21.32 

25.02 

.78 

.23 

0.00 

0.36 

1.59 

3.66 

6.44 

9.78 

13.52 

17.42 

21.36 

25.06 

.77 

.24 

0.00 

0.37 

1.61 

3.69 

6.47 

9.81 

13.55 

17.46 

21.39 

25.09 

.76 

.25 

0.00 

0.38 

1.63 

3.71 

6.50 

9.85 

13.59 

17.50 

21.43 

25.13 

.75 

.26 

0.00 

0.39 

1.65 

3.74 

6.54 

9.89 

13.63 

17.54 

21.47 

25.16 

.74 

.27 

0.00 

0.40 

1.67 

3.76 

6.57 

9.92 

13.66 

17.58 

21.50 

25.19 

.73 

.28 

0.00 

0.40 

1.68 

3.79 

6.60 

9.96 

13.70 

17.62 

21.54 

25.23 

.72 

.29 

0.00 

0.41 

1.70 

3.81 

6.63 

9.99 

13.74 

17.66 

21.58 

25.26 

.71 

.30 

0.00 

0.42 

1.72 

3.84 

6.66 

10.03 

13.78 

17.70 

21.62 

25.30 

.70 

.31 

0.00 

0.43 

1.74 

3.86 

6.69 

10.07 

13.82 

17.74 

21.6fi 

25.33 

.69 

.32 

0.00 

0.44 

1.76 

3.89 

6.7-2 

10.10 

13.86 

17.78 

21.70 

25v87 

.68 

.33 

0.00 

0.45 

1.77 

3.91 

6.75 

10.14 

13.90 

17.82 

21.73 

25.40 

.67 

.34 

0.00 

0.46 

1.79 

3.94 

6.78 

10.17 

13.94 

17.86 

21.77 

25.44 

.66 

.35 

0.00 

0.46 

1.81 

3.96 

6.81 

10.21 

13.97 

17.90 

21.81 

25.47 

M 

.36 

0.00 

0.47 

1.83 

3.99 

6.85 

10.25 

14.01 

17.94 

21.85 

25.50 

.i;i 

.37 

0.00 

0.48 

1.85 

4.01 

6.88 

10.28 

14.05 

17.98 

21.88 

25.54 

.68 

.38 

0.00 

0.49 

1.86 

4.04 

6.91 

10.32 

14.09 

18.02 

21.92 

25.57 

.62 

.39 

0.00 

0.50 

1.88 

4.06 

6.94 

10.35 

14.13 

18.06 

21.96 

25.61 

.61 

.40 

0.00 

0.51 

1.90 

4.09 

6.97 

10.39 

14.17 

18.10 

22.00 

25.64 

.60 

.41 

0.00 

0.52 

1.92 

4.12 

7.00 

10.43 

14.21 

18.14 

22.04 

i>:>.(;7 

.59 

.42 

0.00^         0.53 

1.94 

4.14 

7.03 

10.47 

14.25 

18.18 

22.08 

25.71 

.58 

.43 

0.00 

0.54 

1.95 

4.17 

7.07 

10.50 

14.29 

18.22 

22.12 

25.74 

.57 

.44 

0.00 

0.55 

1.97 

4.19 

7.10 

10.54 

14.33 

18.26 

22.15 

25.78 

.56 

.45 

0.00 

0.56 

1.99 

4.22 

7.13 

10.57 

14.36 

[8.80 

22.19 

25.81 

.55 

.46 

0.01 

0.57 

2.01 

4.24 

7.16 

10.61 

14.40 

18.34 

22.23 

25.84 

.54 

.47 

0.01 

0.68 

2.03 

4.27 

7.20 

10.65 

11.11 

is.  :is 

22.26 

85.88 

.53 

.48 

0.01 

0.591         2.04 

I  JO 

7/J.H 

10.68 

1  1.  is 

18.42 

83.80 

26.91 

.52 

.49 

0.01 

<>.<;(>         2.06 

4.32 

7.26 

10.72 

14.52 

18.46 

83.84 

25.95 

.51 

.50 

0.01 

(Mil 

2.08 

4.:{.-> 

7.29 

10.76 

1  1.:,<; 

18.50 

22.38 

25.98 

.50 

Days,      37 

36 

35 

34 

«a 

33 

31 

30 

19 

18  Days. 

182 


TABLE  XXII.    ARGUMENT  17. 


Equation  =  17".2  [l-{-sin. 
Period,  27.3216794  days. 


Days.       O 

1 

2 

3 

4 

a 

6 

7 

8 

9     Days. 

Davs. 

| 

" 

lf 

f 

_ 

H 

H 

*• 

II 

H 

Days. 

.50 

0.01 

0.61 

2.08 

4.35 

7.29 

10.76 

14.56 

18.50 

22.38 

25.98 

.50 

.51 

0.01 

0.62 

2.10 

4.39 

7.32 

10.80 

14.60 

18.51 

22.42 

26.01 

.49 

.52 

0.01 

0.63 

2.12 

4.40 

7.35 

10.84 

14.64 

18.58 

22.46 

26.05 

.48 

.53 

0.0-2 

0.64 

2.14 

4.42 

7.39 

10.87 

14.68 

18.62 

22.50 

26.08 

.47 

.54 

0.02 

0.65 

2.10 

4.45 

7.42 

10.91 

14.72 

18.66 

22.53 

26.12 

.46 

.55 

0.02 

0.66 

2.17 

4.48 

7.45 

10.94 

14.75 

18.70 

22.57 

26.15 

.45 

.56 

0.02 

0.68 

2.19 

4.50 

7.48 

10.98 

14.79 

18.74 

22.61 

26.18 

.44 

.57 

0.03 

0.69 

2.21 

4.53 

7.52 

11.02 

14.83 

18.78 

22.64 

26.22 

.43 

.58 

0.03 

0.70 

2.23 

4.55 

7.55 

11.05 

14.87 

18.82 

22.68 

26.25 

.42 

.59 

0.03 

0.71 

2.25 

4.58 

7.58 

11.09 

14.91 

18.86 

22.72 

26.29 

.41 

.60 

0.03 

0.72 

2.27 

4.61 

7.61 

11.13 

14.95 

18.90 

22.76 

26.32 

.40 

.61 

0.03 

0.73 

2.29 

4.64 

7.64 

11.17 

14.99 

18.94 

22.80 

26.35 

.39 

.62 

0.04 

0.74 

2.31 

4.66 

7.67 

11.21 

15.03 

18.98 

22.84 

26.39 

.38 

.63 

0.04 

0.75 

2.33 

4.69 

7.71 

11.24 

15.07 

19.02 

22.87 

26.42 

.37 

.64 

0.04 

0.77 

2.35 

4.72 

7.74 

11.28 

15.11 

19.06 

22.91 

26.46 

.36 

.65 

0.04 

0.78 

2.37 

4.74 

7.77 

11.31 

15.14 

19.10 

22.95 

26.49 

.35 

.66 

0.05 

0.79 

2.39 

4.77 

7.81 

11.35 

15.18 

19.14 

22.98 

26.52 

.34 

.67 

0.05 

0.80 

2.41 

4.80 

7.84 

11.39 

15.22 

19.18 

23.02 

26.56 

.33 

.68 

0.05 

0.82 

2.43 

4.82 

7.87 

11.42 

15.26 

19.22 

23.05 

26.59 

.32 

.69 

0.06 

0.83 

2.45 

4.85 

7.91 

11.46 

15.30 

19.26 

23.09 

26.63 

.31 

.70 

0.06 

0.84 

2.47 

4.88 

7.94 

11.50 

15.34 

19.30 

23.13 

26.66 

.30 

.71 

0.06 

0.85 

2.49 

4.91 

7.97 

11.54 

15.38 

19.34 

23.17 

26.69 

.29 

.72 

0.07 

0.87 

2.51 

4.94 

8.00 

11.58 

15.42 

19.38 

23.21 

26.72 

.28 

.73 

0.07 

0.88 

2.53 

4.96 

8.04 

11.61 

15.46 

19.42 

23.24 

26.76 

.27 

.74 

0.08 

0.89 

2.55 

4.99 

8.07 

11.65 

15.50 

19.46 

23.28 

26.79 

.26 

.75 

0.08 

0.90 

2.57 

5.02 

8.11 

11.69 

15.54 

19.50 

23.32 

26.82 

.25 

.76 

0.08 

0.91 

2.59 

5.05 

8.14 

11.73 

15.58 

19.53 

23.35 

26.86 

.24 

.77 

0.09          0.93 

2.62 

5.0S 

8.18 

11.77 

15.62 

U:.57        23.'J9 

•    Sai.K) 

.23 

7Q 
o 

0.09 

0.94 

2.64 

5.10 

8.21 

11.80 

15.66 

19.61 

23.42 

26.93 

.22 

79 

0.10 

0.95 

2.66 

5.13 

8.25 

11.84 

15.70 

19.65 

23.46 

26.96 

.21 

.80 

0.10 

0.96 

2.68 

5.16 

8.28 

11.88 

15.74 

19.69 

23.50 

26.99 

.20 

.81 

0.11 

0.97 

2.70 

5.19 

8.31 

11.92 

15.78 

19.73 

23.54 

27.02 

.19 

.82 

0.11 

0.99 

2.72 

5.22 

8.35 

11.96 

15.82 

19.77 

23.58 

27.05 

.18 

.83 

0.11 

100 

2.75 

5.24 

8.38 

12.00 

15.36 

Hi.    1 

23.61 

27.09 

.17 

.84 

0.12 

1.01 

2.77 

5.27 

8.42 

12.03 

15.90 

19.85 

23.65 

27.12 

.16 

.85 

0.12 

1.03 

2.79 

5.30 

8.45 

12.07 

15.93 

19.89 

23.69 

27.15 

.15 

.86 

0.13 

1.04 

2.81 

5.31 

8.48 

12.11 

15.97 

19.92 

23.72 

27.18 

.14 

.87 

0.13 

1.05 

2.83 

5.36 

8.52 

12.14 

16.01 

19.96 

23.76 

27.22 

.13 

.88 

0.13 

1.07 

2.86 

5.38 

8.55 

12.18 

16.05 

20.00 

23.79 

27.25 

.12 

.89 

0.14 

1.08 

2.88 

5.41 

8.58 

12.22 

16.09 

20.04 

23.83 

27.28 

.11 

.90 

0.14 

1.09 

2.90 

5.44 

8.62 

12.26 

16.13 

20.08 

23.87 

27.31 

.10 

.91 

0.15 

1.10 

2.92 

5.47 

8.65 

12.30 

16.17 

20.12 

23.91 

27.34 

.09 

.92 

0.15 

1.12 

2.94 

5.50 

8.69 

12.34 

16.21 

20.16 

23.95 

27.37 

.08 

.93 

0.16 

1.13 

2.97 

5.53 

8.72 

12.38 

16.25 

20.20 

23.98 

27.40 

.07 

.94 

0.16 

1.15 

2.99 

5.56 

8.76 

12.41 

16.29 

20.24 

24.02 

27.43 

.06 

.95 

0.17 

1.16 

3.01 

5.59 

8.79 

12.45 

16.32 

20.28 

24.06 

27.47 

.05 

.96 

0.17 

1.17 

3.03 

5.62 

8.83 

12.49 

16.36 

20.31 

24.09 

27.50 

.04 

.97 

0.18 

1.19 

3.05 

5.65 

8.86 

12.52 

16.40 

20.35 

24.13 

27.53 

.03 

.98 

0.19 

1.20 

3.08 

5.68 

8.89 

12.56 

16.44 

20.39 

24.16 

27.56 

.02 

.99 

0.19 

1.21 

3.10 

5.71 

8.93 

12.60 

16.48 

20.43 

24.20 

27.59 

.01 

1.00 

0.20 

1.23 

3.12 

5.74 

8.97 

12.64 

16.52 

20.47 

24.24 

27.62 

.00 

Days.     27 

26 

25 

24 

23 

22 

21 

2O 

19 

18    Days. 

183 


TABLE  XXII. 

(Continued.) 
Period,  27.3216794  days. 


TABLE  XXIII.    ARG.   18, 

Equation  =  14".0  [1  -+-  sin.  (2t  +  x  —  z)]. 
Period,  9.873593  days. 




Days.     1O 

11 

13 

13 

O 

1 

3 

3 

4       Days. 

*Sb 

27.62 

3047 

32.61 

33.94 

o.oi 

2.42 

9.35 

18.11 

25.25 

ItilVrt. 

1.00 

.01 

27.65 

30.49 

32.63 

33.95 

0.01 

2.47 

9.43 

18.19 

25.30 

.99 

.02 

27.68 

30.52 

32.65 

33.96 

0.01 

2.52 

9.52 

18.28 

25.35 

.98 

.03 

27.71 

30.54 

32.66 

33.97 

0.01 

2.58 

9.60 

18.3f 

25.41 

.97 

.04 

27.74 

30.57 

32.68 

33.98 

0.00 

2.63 

9.69 

18.45 

25.46 

.96 

.05 

27.78 

30.59 

32.70 

33.99 

0.00 

2.68 

9.77 

18.53 

25.51 

.95 

.06 

27.81 

30.61 

32.72 

33.99 

0.00 

2.73 

9.86 

18.61 

25.56 

.94 

.07 

27.84 

30.64 

32.74 

34.00 

0.00 

2.78 

9.94 

18.70 

25.61 

.93 

.08 

27.87 

30.66 

32.75 

34.01 

0.00 

2.84 

10.03 

18.78 

25.66 

.92 

.09 

27.90 

30.69 

32.77 

34.02 

0.00 

2.89 

10.11 

18.87 

25.71 

.91 

.10 

27.93 

30.71 

32.79 

34.03 

0.00 

2.94 

10.20 

18.95 

25.76 

.90 

.11 

27.96 

30.73 

32.81 

34.04 

0.00 

3.00 

10.29 

19.03 

25.81 

.89 

.12 

27.99 

30.76 

32.83 

34.05 

0.01 

3.05 

10.37 

19.12 

25.86 

.88 

.13 

28.02 

30.78 

32.84 

34.05 

0.01 

3.11 

10.46 

19.20 

25.90 

.87 

.14 

28.05 

30.81 

32.86 

34.06 

0.02 

3.16 

10.54 

19.29 

25.95 

.86 

.15 

28.09 

30.83 

32.88 

34.07 

0.02 

3.22 

10.63 

19.37 

26.00 

.85 

.16 

28.12 

30.85 

32.89 

34.08 

0.03 

3.28 

10.72 

19.45 

26.04 

.84 

.17 

28.15 

30.88 

32.91 

34.09 

0.03 

3.34 

10.80 

19.53 

26.09 

.83 

.18 

28.18 

30.90 

32.92 

34.09 

0.04 

3.3!) 

10.89 

19.62 

26.13 

.82 

.19 

28.21 

30.93 

32.94 

34.10 

0.04 

3.45 

10.97 

19.70 

26.18 

.81 

.20 

28.24 

30.95 

32.96 

34.11 

0.05 

8.51 

11.06 

19.78 

26.22 

.80 

.21 

28.27 

30.97 

32.98 

34.12 

0.06 

3.57 

11.15 

19.86 

26.26 

.79 

.22 

28.30 

31.00 

32.99 

34.13 

0.07 

3.63 

11.24 

19.94 

26.30 

.78 

.23 

28.33 

31.02 

33.01 

34.13    ' 

0.08 

3.69 

11.32 

20.02 

26.35 

.77 

.24 

28.36 

31.05 

33.02 

34.14 

0.09 

3.75 

11.41 

20.10 

26.39 

.76 

.25 

28.39 

31.07 

33.04 

34.15 

0.10 

3.81 

11.50 

20.18 

26.43 

.75 

.26 

28.42 

31.09 

33.05 

34.15 

0.11 

3.87 

11.59 

20.26 

26.47 

.74 

.27 

28.45 

31.12 

33.06 

34.16 

0.12 

3.93 

11.68 

20.34 

26.51 

.73 

.28 

28.48 

31.14 

33.08 

34.16 

0.14 

4.00 

11.76 

20.42 

26.55 

.72 

.29 

28.51 

31.17 

33.09 

34.17 

0.15 

4.06 

11.85 

20.50 

26.59 

.71 

.30 

28.54 

31.19 

33.11 

34.18 

0.16 

4.12 

11.94 

20.58 

26.63 

.70 

.31 

28.57 

31.21 

33.12 

34.19 

0.17 

4.18 

12.03 

20.66 

26.67 

.69 

.32 

28.60 

31.23 

33.14 

34.19 

0.19 

4.25 

12.12 

20.74 

26.71 

.68 

.:»:< 

28.63 

31.26 

33.15 

34.20 

0.20 

4.31 

12.20 

20.81 

26.74 

.67 

.34 

28.66 

31.28 

33.17 

34.20 

0.22 

4.38 

12.29 

20.89 

26.78 

.66 

\ 

.35 

28.69 

31.30 

33.18 

34.21 

0.23 

4.44 

12.38 

20.97 

26.82 

.65 

.36 

28.72 

•1.81 

33.  19 

34.22 

0.25 

4.51 

12.47 

21.05 

26.85 

.64 

.37 

28.75 

31.35 

33.21 

34.22 

0.27 

4.57 

1*66 

21.12 

26.89 

jga 

JK 

28.78 

31.38 

•MM 

34.23 

0.28 

4.64 

12.65 

21.20 

86.92 

.62 

.39 

28.81 

31.40 

33.24 

34.23 

0.30 

4.70 

12.74 

21.27 

26.96 

.61 

.40 

28.84 

31.42 

33.25 

34.v!l 

0.32 

4.77 

12.83 

21.35 

26.9!) 

.60 

.41 

28.87 

31.44 

33.26 

34.24 

0.34 

4.84 

12.92 

21.42 

27.02 

.:,!» 

.1-.' 

28.90 

31.46 

93M 

34.25 

0.36 

4.91 

13.(  II 

21.50 

^7.0r> 

.58 

.43 

28.93 

31.49 

33.29 

34.25 

0.3H 

4.97 

13.10 

84.67 

27.0!) 

.57 

.44 

28.96 

31.5.1 

33.31 

34.26 

0.40 

5.04 

13.19 

21.65 

27.12 

.56 

.45 

28.99 

31.53 

33.32 

34.27 

0.42 

5.11 

13.27 

21.72 

27.15 

.55 

.46 

29.01 

31.55 

:!:i.:t:( 

34.27 

0.44 

5.18 

13.36 

21.79 

27.18 

.54 

.47 

29.01 

31.58 

:(:{.:!.-) 

M.9I 

0.47 

5.25 

13.45 

21.87 

•J7.-JI 

.53 

.48 

29.07 

31.60 

:<:t.:i(i 

MM 

0.49 

&99 

j  :<.;.! 

21.94 

27.  •>:* 

.52 

.49 

2!).  10 

31.62 

33.  3H 

34.29 

0.52 

5.39 

LS.63 

22.02 

27.ii(i 

.51 

.50 

29.13 

31.64 

33.39 

34.29 

0.54 

5.46 

13.72 

22.09 

27.29 

.50 

Days,     ir 

16 

IS 

14 

O 

8 

7 

6 

S       Days. 

184 


TABLE 

(Continued.) 
Period,  27.3216794  days. 


TABLE  XXIII.    ARG.   1 8, 

Equation^  14".0  [1  -f  sin.  (2*+*  —  «)]. 
Period,  9.873593  days. 


Days.     1O 

11 

13 

13 

O 

1 

3 

3 

4       Days. 

DilVS. 

.50 

29.13 

31.64 

33.39 

34.29 

0.54 

5.46 

13.72 

22.09 

27.29 

Pnya. 

.50 

.51 

29.16 

31.66 

33.40 

34.29 

0.57 

5.53 

13.81 

22.16 

27.32 

.49 

.52 

29.19 

31.68 

33.41 

34.30 

0.59 

5.60 

13.90 

22.23 

27.34 

.48 

.53 

29.21 

31.70 

33.43 

34.30 

0.62 

5.68 

13.99 

22.31 

27.37 

.47 

.54 

29.24 

31.72 

33.44 

34.31 

0.64 

5.75 

14.08 

22.38 

27.39 

.46 

.55 

29.27 

31.75 

33.46 

34.31 

0.67 

5.82 

14.16 

22.45 

27.42 

.45 

.56 

29.30 

31.77 

33.47 

34.31 

0.70 

5.89 

14.25 

22.52 

27.44 

.44 

.57 

29.32 

31.79 

33.48 

34.32 

0.73 

5.96 

14.34 

22.59 

27.47 

.43 

.58 

29.35 

31.81 

33.50 

34.32 

0.75 

6.04 

14.43 

22.66 

27.49 

.42 

.59 

29.38 

31.83 

33.51 

34.33 

0.78 

6.11 

14.52 

22.73 

27.52 

.41 

.60 

29.41 

31.85 

33.52 

34.33 

0.81 

6.18 

14.61 

22.80 

'      27.54 

.40 

.61 

29.44 

31.87 

33.53 

34.38 

0.84 

6.25 

14.70 

22.87 

27.56 

.39 

.62 

29.47 

31.89 

33.54 

34.33 

0.87 

6.33 

14.79 

22.94 

27.58 

.38 

.63 

29.49 

31.91 

33.56 

34.34 

0.90 

6.40 

14.88 

23.01 

27.61 

.37 

.64 

29.52 

31.93 

33.57 

34.34 

0.93 

6.48 

14.97 

23.08 

27.63 

.36 

.65 

29.55 

31.95 

33.58 

34.35 

0.96 

6.55 

15.06 

23.15 

27.65 

.35 

.66 

29.57 

31.97 

33.59 

34.35 

0.99 

6.63 

15.14 

23.22 

27.67 

.34 

.67 

29.60 

31.99 

33.60 

34.35 

1.03 

6.70 

15.23 

23.28 

27.69 

.33 

.68 

29.62 

32.01 

33.62 

34.36 

1.06 

6.78 

15.32 

23.35 

27.70 

.32 

.69 

29.65 

32.03 

33.63 

34.36 

1.10 

6.85 

15.41 

23.41 

27.72 

.31 

.70 

29.68 

32.05 

33.64 

34.36 

1.13 

6.93 

15.50 

23.48 

27.74 

.30 

.71 

29.71 

32.07 

33.65 

34.36 

1.17 

7.01 

15.59 

23.54 

27.76 

.29 

.72 

29.74 

32.09 

33.66 

34.36 

1.20 

7.09 

15.68 

23.61 

27.77 

.28 

.73 

29.76 

32.11 

33.67 

34.37 

1.24 

7.16 

15.77 

23.67 

27.79 

.27 

.74 

29.79 

32.13 

33.68 

34.37 

1.27 

7.24 

15.86 

23.74 

27.80 

.26 

.75 

29.82 

32.15 

33.70 

34.38 

1.31 

7.32 

15.95 

23.80 

27.82 

.25 

.76 

29.84 

32.16 

33.71 

34.38 

1.35 

7.40 

16.04 

23.86 

27.83 

.24 

.77 

29.87 

32.18 

33.72 

34.38 

1.39 

7.48 

16.13 

23.92 

27.85 

.23 

.78 

29.89 

32.20 

33.73 

34.39 

1.43 

7.55 

16.21 

23.99 

27.86 

.22 

.79 

29.92 

32.22 

33.74 

34.39 

1.47 

7.63 

16.30 

24.05 

27.88 

.21 

.80 

29.95 

32.24 

33.75 

34.39 

1.51 

7.71 

16.39 

24.11 

27.89 

.20 

.81 

29.98 

32.26 

33.76 

34.39 

1.55 

7.79 

16.48 

24.17 

27.90 

.19 

.82 

30.00 

32.28 

33.77 

34.39 

1.59 

7.87 

16.57 

24.23 

27.91 

.18 

.83 

30.03 

32.30 

33.78 

34.39 

1.64 

7.95 

16.65 

24.29 

27.92 

.17 

.84 

30.05 

32.32 

33.79 

34.39 

1.68 

8.03 

16.74 

24.35 

27.93 

.16 

.85 

30.08 

32.34 

33.80 

34.39 

1.72 

8.11 

16.83 

24.41 

27.94 

.15 

.86 

30.11 

32.35 

33.81 

34.40 

1.76 

8.19 

16.92 

24.47 

27.95 

.14 

.87 

30.13 

32.37 

33.82 

*      34.40 

1.81 

8.27 

17.00 

24.53 

27.96 

.13 

.88 

30.16 

32.39 

33.83 

34.40 

1.85 

8.36 

17.09 

24.58 

27.96 

.12 

.89 

30.18 

32.41 

33.84 

34.40 

1.90 

8.44 

17.17 

24.64 

27.97 

.11 

.90 

30.21 

32.43 

33.85 

34.40 

1.94 

8.52 

17.26 

24.70 

27.98 

.10 

.91 

30.24 

32.45 

33.86 

34.40 

1.99 

8.60 

17.35 

24.76 

27.98 

.09 

.92 

30.26 

32.47 

33.87 

34.40 

2.03 

8.68 

17.43 

24.81 

27.99 

.08 

.93 

30.29 

32.48 

33.88 

34.40 

2.08 

8.77 

17.52 

24.87 

27.99 

.07 

.94 

30.31 

32.50 

33.89 

34.40 

2.12 

8.85 

17.60 

24.92 

28.00 

.06 

.95 

30.34 

32.52 

33.90 

34.40 

2.17 

8.93 

17.69 

24.98 

28.00 

.05 

.96 

30.37 

32.54 

33.90 

34.40 

2.22 

9.01 

17.77 

25.03 

28.00 

.04 

.97 

30.39 

32.55 

33.91 

34.40 

2.27 

9.10 

17.86 

25.09 

28.00 

.03 

.98 

30.42 

32.57 

33.92 

34.40 

2.32 

9.18 

17.94 

25.14 

28.00 

.02 

.99 

30.44 

32.59 

33.93 

34.40 

2.37 

9.27 

18.03 

25.20 

28.00 

.01 

1.00 

30.47 

32.61 

33.94 

34.40 

2.42 

9.35 

18.11 

25.25 

28.00 

.00 

Days.     17 

1G 

15 

14 

9 

8 

7 

6 

5       Days. 

185 


TABLE  XXIV.    ARGUMENT  19, 

Equation  =  12".8  [1  —  sin.  (3*  —  2«)]. 
Period,  24.302196  days. 


Days.       O 

1 

3 

3 

4 

S 

6 

7 

8         Days. 

Days 
.00 

25.29 

25.59 

25.03 

23.67 

21.59 

18.91 

15.83 

12.55 

9.29 

Pays. 

1.00 

.01 

25.30 

25.59 

25.02 

23.65 

21.56 

18.88 

15.80 

12.52 

9.26 

.99 

.02 

25.31 

25.59 

25.01 

23.63 

21.53 

18.85 

15.77 

12.49 

9.23 

.98 

• 

.03 

25.31 

25.58 

25.00 

23.62 

21.51 

18.82 

15.73 

12.45 

9.20 

.97 

.04 

25.32 

25.58 

24.99 

23.60 

21.48 

18.79 

15.70 

12.42 

9.16 

.96 

.05 

25.33 

25.58 

24.98 

23.58 

21.46 

18.76 

15.67 

12.39 

9.13 

.95 

.06 

25.33 

25.58 

24.97 

23.56 

21.44 

18.74 

15.63 

12.35 

9.10 

.94 

.07 

25.34 

25.58 

24.96 

23.54 

21.41 

18.71 

15.60 

12.32 

9.06 

.93 

.08 

25.35 

25.57 

24.95 

23.53 

21.39 

18.68 

15.56 

12.28 

9.03 

:92 

.09 

25.35 

25.57 

24.94 

23.51 

21.36 

18.65 

15.53 

12.25 

9.00 

.91 

.10 

25.36 

25.57 

24.93 

23.49 

21.34 

18.62 

15.50 

12.22 

8.97 

.90 

.11 

25.37 

25.57 

24.92 

23.47 

21.32 

18.59 

15.47 

12.19 

8.94 

.89 

.12 

25.38 

25.57 

24.91 

23.45 

21.29 

18.56 

15.44 

•      12.16 

8.91 

.88 

:13 

25.38 

25.56 

24.90 

23.44 

21.27 

18.53 

15.41 

12.12 

8.88 

.87 

.14 

25.39 

25.56 

24.89 

23.42 

21.24 

18.50 

15.37 

12.09 

8.84 

.86 

.15 

25.39 

25.56 

24.88 

23.40 

21.22 

18.47 

15.34 

12.06 

8.81 

.85 

.16 

25.40 

25.55 

24.86 

23.38 

21.20 

18.44 

15.31 

12.02 

8.78 

.84 

.17 

25.40 

25.55 

24.85 

23.36 

21.17 

18.41 

15.27 

11.99 

8.74 

.83 

.18 

25.41 

25.55 

24.84 

23.35 

21.15 

18.38 

15.24 

11.95 

8.71 

.82 

.19 

25.41 

25.54 

24.83 

23.33 

21.12 

18.35 

15.21 

11.92 

8.68 

.81 

.20 

25.42 

25.54 

24.82 

23.31 

21.10 

18.32 

15.18 

11.89 

8.65 

.80 

.21 

25.42 

25.54 

24.81 

23.29 

21.08 

18.29 

15.15 

11.86 

8.62 

.79 

.22 

25.43 

25.54 

24.80 

23.27 

21.05 

18.26 

15.12 

11.82 

8.59 

.78 

.23 

25.43 

25.53 

24.79 

23.25- 

21.03 

18.23 

15.09 

•      11.79 

8.56 

.77 

.24 

25.44 

25.53 

24.78 

23.23 

21.00 

18.20 

15.05 

11.75 

8.53 

.76 

.25 

25.44 

25.53 

24.77 

23.21 

20.98 

18.17 

15.02 

11.72 

8.50 

.75 

.26 

25.45 

25.52 

24.75 

23.20 

20.95 

18.13 

14.99 

11.69 

8.48 

.74 

.27 

25.45 

25.52 

24.74 

23.18 

20.92 

18.10 

14.95 

11.65 

8.45 

.73 

.28 

25.46 

25.52 

24.73 

23.16 

20.90 

18.07 

14.92 

11.62 

8.40 

.72 

.29 

25.46 

25.51 

24.72 

23.14 

20.87 

18.04 

14.89 

11.58 

8.37 

.71 

.30 

25.47 

25.51 

24.71 

23.12 

20.85 

18.01 

14.86 

11.55 

8.34 

.70 

.31 

25.47 

25.51 

24.70 

23.10 

20.82 

17.98 

14.83 

11.52 

8.31 

.69 

.32 

25.48 

25.50 

24.69 

23.08 

20.80 

17.95 

14.80 

11.49 

8.28 

.68 

.33 

25.48 

25.50 

24.68 

23.o<> 

20.77 

17.92 

14.76 

11.45 

8.25 

.67 

.34 

25.49 

25.49 

24.66 

23.04 

20.75 

17.89 

14.73 

11.42 

8.22 

.66 

.35 

25.49 

25.49 

24.65 

23.02 

20.72 

'    17.86 

14.70 

-     11.39 

8.19 

.65 

.36 

25.50 

25.49 

24.64 

23.00 

20.69 

17.82 

14.66 

11.35 

8.15 

.64 

.37 

25.50 

25.48 

24.63 

22.98 

20.67 

17.79 

14.63 

11.32 

8.12 

.63 

.38 

25.50 

25.48 

24.62 

22.96 

20.64 

17.76 

14.59 

11.28 

8.09 

.62 

.39 

25.51 

25.47 

24.60 

22.94 

20.62 

17.73 

14.56 

11.25 

8.06 

.61 

.40 

25.51 

25.47 

24.59 

22.92 

20.59 

17.70 

14.53 

11.22 

8.03 

.60 

.41 

25.51 

25.46 

24.58 

22.90 

20.56 

17.67 

14.50 

11.19 

8.00 

.59 

.42 

25.52 

25.46 

24.57 

22.88 

20.53 

17.64 

14.47 

11.16 

7.97 

.58 

.43 

25.52 

25.45 

24.55 

22.86 

20.51 

17.61 

14.43 

11.12 

7.94 

.57 

.44 

25.52 

25.45 

24.54 

22.84 

20.48 

17.58 

14.40 

11.09 

7.91 

.56 

.45 

25.53 

25.44 

24.52 

22.82 

20.46 

17.55 

14.37 

11.06 

7.88 

.55 

.46 

25.53 

25.44 

24.51 

22.79 

20.43 

17.52 

14.33 

11.02 

7.85 

.54 

.47 

25.53 

25.43 

24.49 

22.77 

20.40 

17.49 

14.30 

10.99 

7.82 

.53 

.48 

25.54 

25.43 

24.48 

22.75 

20.38 

17.46 

14.26 

10.95 

7.79 

.52 

.49 

25.54 

25.42 

24.46 

22.73 

20.35 

17.43 

14.23 

10.92 

7.76 

.51 

.50 

25.54 

25.42 

24.45 

22.71 

20.32 

17.40 

14.20 

10.89 

7.73 

.50 

Days.     35 

34 

33 

33 

31 

3O 

19 

18 

17       Days. 

TABLE  XXIV.    ARGUMENT  19. 


Equation  =  13".8  [1  —  sin.  (3x  —  2t)]. 
Period,  24.302196  days. 


Days.       O 

1 

2 

3 

4 

5 

6 

7 

8         Days. 

Davs 

.50 

25.54 

25.42 

24.45 

22.71 

20.32 

17.40 

14.20 

10.89 

7.73 

Days. 

.50 

.51 

25.54 

25.41 

24.44 

22.69 

20.29 

17.37 

14.17 

10.86 

7.70 

.49 

.52 

25.55 

26.41 

24.42 

22.67 

20.26 

17.34 

14.14 

10.83 

7.67 

.48 

.53 

25.55 

25.40 

24.41 

22.65 

20.24 

17.31 

14.10 

10.80 

7.64 

.47 

.54 

25.55 

25.40 

24.39 

22.63 

20.21 

17.28 

14.07 

10.76 

7.61 

.46 

.55 

25.55 

25.39 

24.38 

22.61 

20.18 

17.25 

14.04 

10.73 

7.58 

.45 

.56 

25.56 

25.39 

24.37 

22.58 

20.15 

17.21 

14.00 

10.70 

7.55 

.44 

.57 

25.56 

25.38 

24.35 

22.56 

20.12 

17.18 

13.97 

10.66 

7.52 

.43 

.58 

25.56 

25.37 

24.34 

22.54 

20.10 

17.15 

13.93 

10.63 

7.49 

.42 

.59 

25.56 

25.37 

24.32 

22.52 

20.07 

17.12 

13.90 

10.60 

7.46 

.41 

.60 

25.57 

25.36 

24.31 

22.50 

20.04 

17.09 

13.87 

10.57 

7.43 

.40 

.61 

25.57 

25.35 

24.29 

22.48 

20.01 

17.06 

13.84 

10.54 

7.40 

.39 

.62 

25.57 

25.35 

24.28 

22.46 

19.98 

17.03 

13.81 

10.51 

7.37 

.38 

.63 

25.57 

25.34 

24.26 

22.43 

19.95 

17.00 

13.77 

10.48 

7.34 

.37 

.64 

25.58 

25.33 

24.25 

22.41 

19.93 

16.97 

13.74 

10.44 

7.31 

.36 

.65 

25.58 

25.33 

24.23 

22.39 

19.90 

16.94 

13.71 

10.41 

7.28 

.35 

.66 

25.58 

25.32 

24.22 

22.37 

19.87 

16.90 

13.67 

10.38 

7.25 

.34 

.67 

25.58 

25.31 

24.20 

22.35 

19.85 

16.87 

13.64 

10.34 

7.22 

.33 

.68 

25.59 

25.31 

24.19 

22.32 

19.82 

16.84 

13.60 

10.31 

7.19 

.32 

.69 

25.59 

25.30 

24.17 

22.30 

19.79 

16.81 

13.57 

10.28 

7.16 

.31 

.70 

25.59 

25.29 

24.16 

22.28 

19.76 

16.78 

13.54 

10.25 

7.13 

.30 

.71 

25.59 

25.28 

24.14 

22.26 

19.73 

16.75 

13.51 

10.22 

7.10 

.29 

.72 

25.59 

25.27 

24.13 

22.24 

19.70 

16.72 

13.48 

10.19 

7.07 

.28 

.73 

25.59 

25.27 

24.11 

22.21 

19.67 

16.69 

13.44 

10.16 

7.04 

.27 

.74 

25.60 

25.26 

24.10 

22.19 

19.65 

16.66 

13.41 

10.12 

7.01 

.26 

.75 

25.60 

25.25 

24.08 

22.17 

19.62 

16.63 

13.38 

10.09 

6.98 

.25 

.76 

25.60 

25.24 

24.07 

22.15 

19.59 

16.59 

13.34 

10.06 

6.95 

.24 

.77 

25.60 

25.23 

24.05 

22.13 

19.57 

16.56 

13.31 

10.02 

6.92 

.23 

.78 

25.60 

25.23 

24.04 

22.10 

19.54 

16.53 

13.27 

9.99 

6.89 

.22 

.79 

25.60 

25.22 

24.02 

22.08 

19.51 

16.50 

13.24 

9.96 

6.86 

.21 

.80 

25.60 

25.21 

24.01 

22.06 

19.48 

16.47 

13.21 

9.93 

6.83 

.20 

.81 

25.60 

25.20 

23.99 

22.04 

19.45 

16.44 

13.18 

9.90 

6.80 

.19 

.82 

25.60 

25.19 

23.98 

22.02 

19.42 

16.41 

13.15 

9.87 

6.77 

.18 

.83 

25.60 

25.18 

23.96 

21.99 

19.39 

16.38 

13.11 

9.84 

6.74 

.17 

.84 

25.60 

25.18 

23.95 

21.97 

19.37 

16.34 

13.08 

9.80 

6.71 

.16 

.85 

25.60 

25.17 

23.93 

21.95 

19.34 

16.31 

13.05 

9.77 

6.68 

.15 

.86 

25.60 

25.16 

23.92 

21.92 

19.31 

16.28 

13.01 

9.74 

6.66 

.14 

.87 

25.60 

25.15 

23.90 

21.90 

19.29 

16.24 

12.98 

9.70 

6.63 

.13 

.88 

25.60 

25.14 

23.88 

21.88 

19.26 

16.21 

12.94 

9.67 

6.60 

.12 

.89 

25.60 

25.13 

23.87 

21.85 

19.23 

16.18 

12.91 

9.64 

6.57 

.11 

.90 

25.60 

25.12 

23.85 

21.83 

19.20 

16.15 

12.88 

9.61 

6.54 

.10 

.91 

25.60 

25.11 

23.83 

21.81 

19.17 

16.12 

12.85 

9.58 

6.51 

.09 

.92 

25.60 

25.10 

23.82 

21.79 

19.14 

16.09 

12.82 

9.55 

6.48 

.08 

.93 

25.60 

25.10 

23.80 

21.76 

19.11 

16.06 

12.78 

9.52 

6.45 

.07 

.94 

25.60 

25.09 

23.78 

21.74 

19.08 

16.02 

12.75 

9.48 

6.42 

.06 

.95 

25.60 

25.08 

23.76 

21.72 

19.05 

15.99 

12.72 

9.45 

6.39 

.05 

.96 

25.60 

25.07 

23.74 

21.69 

19.03 

15.96 

12.68 

9.42 

6.37 

.04 

.97 

25.59 

25.06 

23.73 

21.67 

19.00 

15.92 

12.65 

9.38 

6.34 

.03 

.98 

25.59 

25.05 

23.71 

21.65 

18.97 

15.89 

12.61 

9.35 

6.31 

.02 

.99 

25.59 

25.04 

23.69 

21.62 

18.94 

15.86 

12.58 

9.32 

6.28 

.01 

1.00 

25.59 

25.03 

23.67 

21.59 

18.91 

15.83 

12.55 

9.29 

6.25 

.00 

Days.     25 

34 

23 

22 

31 

30 

19 

18 

17        Days. 

187 


TABLE  XXIV. 

(Continued.) 
Period,  24.302196  days. 


TABLE  XXV.  ARG.  20. 

Equation  ==  9".6  [1  +  sin.  (2x— z)]. 
Period,  14.317313  days. 


Days.        9 

10 

11 

19 

O 

1 

a 

3 

4     Days. 

Daya 

.00 

6.25 

3.66 

1.67 

0.43 

6.65 

0.02 

1.21 

4.00 

7.84 

I  MM 

1.00 

.01 

6.22 

3.64 

1.65 

0.42 

0.64 

0.02 

1.23 

4.03 

7.88 

.99 

.02 

6.19 

3.62 

1.64 

0.41 

0.62 

0.03 

1.25 

4.07 

7.92 

.98 

.03 

6.16 

3.59 

1.62 

0.40 

0.61 

0.03 

1.27 

4.10 

7.96 

.97 

.04 

6.14 

3.57 

1.61 

0.40 

0.59 

0.04 

1.30 

4.14 

8.01 

.96 

.05 

6.11 

3.54 

1.59 

0.39 

0.58 

0.04 

1.32 

.       4.17 

8.05 

.95 

.06 

6.08 

3.52 

1.57 

0.38 

0.57 

0.04 

1.34 

4.21 

8.09 

.94 

.07 

6.06 

3.50 

1.56 

0.38 

0.55 

0.05 

1.37 

4.25 

8.14 

.93 

.08 

6.03 

3.47 

1.54 

0.37 

0.54 

0.05 

1.39 

4.28 

8.18 

.92 

.09 

6.00 

3.45 

1.53 

0.36 

0.52 

0.06 

1.41 

4.32 

8.22 

.91 

.10 

5.97 

3.43 

1.51 

0.35 

0.51 

0.06 

1.43 

4.35 

8.26 

.90 

.11 

5.94 

3.41 

1.49 

0.34 

0.50 

0.07 

1,45 

4.39 

8.30 

.89 

.12 

5.91 

3.39 

1.48 

0.33 

0.48 

0.07 

1.47 

4.42 

8.34 

.88 

.13 

5.88 

3.37 

1.46 

0.32 

0.47 

0.08 

1.50 

4.46 

8.38 

.87 

.14 

5.86 

3.34 

1.45 

0.32 

0.45 

0.08 

1.52 

4.49 

8.43 

.86 

.15 

5.83 

3.32 

1.43 

0.31 

0.44 

0.08 

1.54 

4.53 

8.47 

.85 

.16 

5.80 

3.30 

1.42 

0.30 

0.43 

0.09 

1.57 

4.57 

8.51 

.84 

.17 

5.78 

3.27 

1.41 

0.30 

0.42 

0.09 

1.59 

4.60 

8.56 

.83 

.18 

5.75 

3.25 

1.39 

0.29 

0.40 

0.10 

1.62 

4.64 

8.60 

.82 

.19 

5.72 

3.23 

1.38 

0.28 

0.39 

0.11 

1.64 

4.67 

8.64 

.81 

.20 

5.69 

3.21 

1.36 

0.27 

0.38 

0.12 

1.66 

4.71 

8.68 

.80 

.21 

&.66 

3.19 

1.35 

0.26 

0.37 

0.13 

1.68 

4.75 

8.72 

.79 

.22 

5.63 

3.17 

1.33 

0.26 

0.36 

0.14 

1.71 

4.78 

8.76 

.78 

.23 

5.61 

3.15 

1.32 

0.25 

0.35 

0.14 

1.73 

4i82 

8.80 

.77 

.24 

5.58 

3.12 

1.30 

0.25 

0.34 

0.15 

1.76 

4.85 

8.85 

.76 

.25 

5.55 

3.10 

1.29 

0.24 

0.32 

0.16 

1.78 

4.89 

8.89 

.75 

.26 

5.53 

3.08 

1.28 

0.23 

0.31 

0.17 

1.81 

4.93 

8.93 

.74 

.27 

5.50 

3.05 

1.26 

0.23 

0.30 

0.17 

1.84 

4.96 

8.98 

.73 

.28 

5.48 

3.03 

1.25 

0.22 

0.29 

0.18 

1.86 

5.00 

9.02 

.72 

.29 

5.45 

3.01 

1.23 

0.22 

0.28 

0.19 

1.89 

5.03 

9.06 

.71 

.30 

5.42 

2.99 

1.22 

0.21 

0.27 

0.20 

1.91 

5.07 

9.10 

.70 

.31 

5.39 

2.97 

1.21 

0.20 

0.26 

0.21 

1.94 

5.11 

9.14 

.69 

.32 

5.36 

2.95 

1.19 

0.20 

0.25 

0.22 

1.96 

5.15 

9.18 

.68 

.33 

5.34 

2.93 

1.18 

0.19 

0.24 

0.23 

1.99 

5.18 

9.22 

.67 

.34 

5.31 

2.91 

1.16 

0.19 

0.23 

0.24 

2.01 

5.22 

9.27 

.66 

.35 

5.28 

2.88 

1.15 

0.18 

0.22 

0.24 

2.04 

5.25 

9.31 

.65 

.36 

5.26 

2.86 

1.14 

0.18 

0.22 

0.25 

2.07 

5.29 

9.35 

.64 

.37 

5.23 

2.84 

1.12 

0.18 

0.21 

0.26 

2.09 

5.33 

9.40 

.63 

.38 

5.21 

2.82 

1.11 

0.17 

0.20 

0.27 

2.12 

5.36 

9.44 

.62 

.39 

5.18 

2.80 

1.09 

0.17 

0.19 

0.28 

2.14 

5.40 

9.48 

.61 

.40 

5.15 

2.78 

1.08 

0.16 

0.18 

0.29 

2.17 

5.44 

9.52 

.60 

.41 

5.12 

2.76 

1.07 

0.15 

0.17 

0.30 

2.20 

5.48 

9.56 

.59 

.42 

5.10 

2.74 

1.05 

0.15 

0.16 

0.31 

2.22 

5.52 

9.60 

.58 

.43 

5.07 

2.72 

1.04 

0.14 

0.16 

0.32 

2.25 

5.55 

9.64 

.57 

.44 

5.05 

2.70 

1.03 

0.14 

0.15 

0.33 

2.27 

5.59 

9.69 

.56 

.45 

5.02 

2.68 

1.01 

0.13 

0.14 

0.34 

2.29 

5.63 

9.73 

.55 

.46 

4.99 

2.66 

1.00 

0.13 

0.13 

0.36 

2.32 

5.67 

9.77 

.54 

.47 

4.97 

2.64 

0.99 

0.13 

0.13 

0.37 

2.34 

5.70 

9.81 

.53 

.48 

4.94 

2.62 

0.97 

0.12 

0.12 

0.38 

2.37 

5.74 

9.86 

.52 

.49 

4.92 

2.60 

0.96 

0.12 

0.12 

0.39 

2.41 

5.78 

9.90 

.51 

.50 

4.89 

2.58 

0.95 

0.11 

0.11 

0.40 

2.44 

5.82 

9.94 

.50 

Days.       16 

15 

14 

13 

IS 

14 

13 

12 

11       Days. 

188 


TABLE  XXIV. 

(Continued.) 
Period,  24.302196  days. 


TABLE  XXV.  ARG.  2O. 

Equation  =  9".6  [1  -f-  sin.  (2*  —  «)]. 
Period,  14.317313  days. 


Days.         9 

10 

11 

12 

o 

1 

2 

3 

4     Days. 

Days 

(J 

II 

fl 

(( 

„ 

l( 

II 

.. 

d 

Days. 

.50 

4.89 

2.58 

0.95 

0.11 

0.11 

0.40 

2.44 

5.82 

9.94 

.50 

.51 

4.86 

2.56 

0.94 

0.11 

0.11 

0.41 

2.47 

5.86 

9.98 

.49 

.52 

4.84 

2.54 

0.93 

0.10 

0.10 

0.42 

2.50 

5.90 

10.02 

.48 

.53 

4.81 

2.52 

0.92 

0.10 

0.10 

0.44 

2.53 

5.94 

10.06 

.47 

.54 

4.79 

2.50 

0.90 

0.09 

0.09 

0.45 

2.55 

5.98 

10.11 

.46 

.55 

4.76 

2.48 

0.89 

0.09 

0.08 

0.46 

2.58 

6.01 

10.15 

.45 

.56 

4.73 

2.47 

0.88 

0.09 

0.08 

0.48 

2.61 

6.05 

10.19 

.44 

.57 

4.71 

2.45 

0.86 

0.08 

0.07 

0.49 

2.63 

6.09 

10.24 

.43 

.58 

4.68 

2.43 

0.85 

0.08 

0.07 

0.51 

2.66 

6.13 

10.28 

.42 

.59 

4.66 

2.41 

0.84 

0.07 

0.06 

0.52 

2.69 

6.17 

10.32 

.41 

.60 

4.63 

2.39 

0.83 

0.07 

0.06 

0.53 

2.72 

6.21 

10.36 

.40 

.61 

4.60 

2.37 

0.82 

0.07 

0.06 

0.54 

2.75 

6.25 

10.40 

.39 

.62 

4.58 

2.35 

0.81 

0.07 

0.05 

0.56 

2.78 

6.29 

10.44 

.38 

.63 

4.55 

2.33 

0.80 

0.06 

0.05 

0.57 

2.81 

6.33 

10.48 

.37 

.64 

4.53 

2.31 

0.79 

0.06 

0.04 

0.59 

2.84 

6.37 

10.52 

.36 

.65 

4.50 

2.29 

0.77 

0.06 

0.04 

0.60 

2.87 

6.41 

10.57 

.35 

.66 

4.48 

2.28 

0.76 

0.05 

0.04 

0.62 

2.90 

6.45 

10.61 

.34 

.67 

4.46 

2.26 

0.75 

0.05 

0.03 

0.64 

2.93 

6.49 

10.65 

.33 

.68 

4.43 

2.24 

0.74 

0.04 

0.03 

0.65 

2.96 

6.53 

10.69 

.32 

.69 

4.41 

2.22 

0.73 

0.04 

0.02 

0.67 

2.99 

6.57 

10.73 

.31 

.70 

4.38 

2.20 

0.72 

0.04 

0.02 

0.68 

3.02 

6.61 

10.77 

.30 

.71 

4.35 

2.18 

0.71 

0.04 

0.02 

0.70 

3.05 

6.65 

10.81 

.29 

.72 

4.33 

2.16 

0.70 

0.04 

0.02 

0.71 

3.08 

6.69 

10.85 

.28 

.73 

4.30 

2.14 

0.69 

0.03 

0.01 

0.73 

3.11 

6.73 

10.89 

.27 

.74 

4.28 

2.13 

0.68 

0.03 

0.01 

0.74 

3.14 

6.77 

10.94 

.26 

.75 

4.25 

2.11 

0.67 

0.03 

0.01 

0.76 

3.17 

6.81 

10.98 

.25 

.76 

4.23 

2.09 

0.66 

0.02 

0.01 

0.78 

3.21 

6.85 

11.02 

.24 

.77 

4.21 

2.08 

0.65 

0.02 

0.00 

0.79 

3.24 

6.8i, 

11.07 

.23 

.78 

4.18 

2.06 

0.64 

0.01 

0.00 

0.81 

3.27 

6.93 

11.11 

.22 

.79 

4.16 

2.04 

0.63 

0.01 

0.00 

0.82 

3.30 

6.97 

11.15 

.21 

.80 

4.13 

2.02 

0.62 

0.01 

0.00 

0.84 

3.33 

7.01 

11.19 

.20 

.81 

4.11 

2.00 

0.61 

0.01 

0.00 

0.86 

3.36 

7.05 

11.23 

.19 

.82 

4.08 

1.98 

0.60 

0.01 

0.00 

0.8S 

3.39 

7.09 

11.27 

.18 

.83 

4.06 

1.96 

0.59 

0.01 

0.00 

0.8'J 

3.43 

7.13 

11.31 

.17 

.84 

4.03 

1.95 

0.58 

0.01 

0.00 

0.91 

3.46 

7.17 

11.36 

.16 

.85 

4.01 

1.93 

0.57 

0.01 

0.00 

0.92 

3.49 

7.21 

11.40 

.15 

.86 

3.99 

1.91 

0.56 

0.00 

0.00 

0.94 

3.53 

7.26 

11.44 

.14 

.87 

3.96 

1.90 

0.55 

0.00 

0.00 

0.96 

3.56 

7.30 

11.49 

.13 

.88 

3.94 

irss 

0.54 

0.00 

0.00 

0.97 

3.60 

7.34 

11.53 

.12 

.89 

3.91 

1.86 

0.53 

0.00 

0.00 

0.99 

3.63 

7.38 

11.57 

.11 

.90 

3.89 

1.84 

0.52 

0.00 

0.00 

1.01 

3.66 

7.42 

11.61 

.10 

.91 

3.87 

1.82 

0.51 

0.00 

0.00 

1.03 

3.69 

7.46 

11.65 

.09 

.92 

3.85 

1.80 

0.50 

0.00 

0.00 

1.05 

3.73 

7.50 

11.69 

.08 

.93 

3.82 

1.79 

0.49 

0.00 

0.00 

1.07 

3.76 

7.54 

11.73 

.07 

.94 

3.80 

1.77 

0.48 

0.00 

0.01 

1.09 

3.80 

7.59 

11.78 

.06 

.95 

3.77 

1.75 

0.47 

0.00 

0.01 

1.11 

3.83 

7.63 

11.82 

.05 

.96 

3.75 

1.74 

0.47 

0.00 

0.01 

1.13 

3.86 

7.67 

11.86 

.04 

.97 

3.73 

1.72 

0.46 

0.00 

0.01 

1.15 

3.90 

7.71 

11.91 

.03 

.98 

3.70 

1.71 

0.45 

0.00 

0.02 

1.17 

3.93 

7.76 

11.95 

.02 

.99 

3.68 

1.69 

0.44 

0.00 

0.02 

1.19 

3.97 

7.80 

11.99 

.01 

1.00 

3.66 

1.67 

0.43 

0.00 

0.02 

1.21 

4.00 

7.84 

12.03 

.00 

Days.      16 

15 

14 

13 

IS 

14 

13 

13 

1  1       Days. 

• 

189 


TABLE  XXV. 

(Continued.) 
Period,  14.317313  days 


TABLE  XXVI.    ARG.  21. 

Equation  =  9".2  [1 — sin.  (2z-f-z —  2<)]. 
Period,  131.671123  days. 


Days.      S 

6 

7      Days. 

Days.      O 

10 

2O 

30 

4O 

50 

CM    Days. 

Days. 

.00 

12.03 

15.73 

18.29 

llaVS. 

1.00 

Diys 

0.0 

18.22 

18.04 

15.89 

12.25 

7.92 

3.88 

1'.'02 

Itava 

10.0 

.01 

12.07 

15.76 

18.31 

.99 

0.1 

18.23 

18.03 

15.86 

12.21 

7.88 

3.85 

1.00 

9.9 

.02 

12.11 

15.79 

18.33 

.98 

0.2 

18.24 

18.02 

15.83 

12.17 

7.83 

3.81 

0.98 

9.8 

.03 

12.15 

15.83 

18.34 

.97 

0.3 

18.25 

18.00 

15.80 

12.12 

7.79 

3.78 

0.96 

9.7 

.04 

12.19 

15.86 

18.36 

.96 

0.4 

18.25 

17.99 

15.77 

12.08 

7.74 

3.74 

0.94 

9.6 

.05 

12.24 

15.89 

18.38 

.95 

0.5 

18.26 

17.98 

15.74 

12.04 

7.70 

3.71 

0.92 

9.5 

.06 

12.28 

15.92 

18.39 

.94 

0.6 

18.27 

17.96 

15.71 

12.00 

7.66 

3.67 

0.91 

9.4 

.07 

12.32 

15.96 

18.41 

.93 

0.7 

18.28 

17.95 

15.68 

11.96 

7.61 

3.64 

0.89 

9.3 

.08 

12.36 

15.99 

18.42 

.92 

0.8 

18.28 

17.94 

15.65 

11.91 

7.57 

3.60 

0.87 

9.2 

.09 

12.40 

16.02 

18.44 

.91 

0.9 

18.29 

17.92 

15.62 

11.87 

7.52 

3.57 

0.85 

9.1 

.10 

12.44 

16.05 

18.46 

.90 

1.0 

18.30 

17.91 

15.59 

11.83 

7.48 

3.53 

0.83 

9.0 

.11 

12.48 

16.08 

18.48 

.89 

1.1 

18.30 

17.89 

15.56 

11.79 

7.44 

3.50 

O.N1 

8.9 

.12 

12.52 

16.11 

18.49 

.88 

1.2 

18.31 

17.88 

15.53 

11.75 

7.39 

3.46 

0.79 

8.8 

.13 

12.56 

16.14 

18.51 

.87 

1.3 

18.32 

17.86 

15.50 

11.70 

7.35 

3.43 

0.78 

8.7 

.14 

12.60 

16.17 

18.52 

.86 

1.4 

18.32 

17.85 

15.46 

11.66 

7.31 

3.39 

0.76 

8.6 

.15 

12.64 

16.21 

18.54 

.85 

1.5 

18.33 

17.83 

15.43 

11.62 

7.26 

3.36 

0.74 

8.5 

.16 

12.68 

16.24 

18.55 

.84 

1.6 

18.33 

17.82 

15.40 

11.58 

7.22 

3.33 

0.73 

8.4 

.17 

12.72 

16.27 

18.56 

.83 

1.7 

18.34 

17.80 

15.37 

11.54 

7.18 

3.29 

0.71 

8.3 

.18 

12.76 

16.30 

18.58 

.82 

1.8 

18.35 

17.78 

15.33 

11.49 

7.13 

3.26 

0.69 

8.2 

.19 

12.80 

16.33 

18.59 

.81 

1.9 

18.36 

17.76 

15.30 

11.45 

7.09 

3.22 

0.68 

8.1 

.20 

12.84 

16.36 

18.61 

.80 

2.0 

18.36 

17.77 

15.27 

11.41 

7.05 

3.19 

0.66 

8.0 

.21 

12.88 

16.39 

18.62 

.79 

2.1 

18.36 

17.75 

15.24 

11.37 

7.01 

3.16 

0.65 

7.9 

.22 

12.92 

16.42 

18.64 

.78 

2.2 

18.36 

17.74 

15.20 

11.32 

6.97 

3.12 

0.63 

7.8 

.23 

12.96 

16.45 

18.65 

.77 

2.3 

18.37 

17.72 

15.17 

11.28 

6.92 

3.09 

0.62 

7.7 

.24 

13.00 

16.48 

18.67 

.76 

2.4 

18.37 

17.70 

15.13 

11.24 

6.88 

3.06 

0.60 

7.6 

.25 

13.04 

16.51 

18.68 

.75 

2.5 

18.37 

17.69 

15.10 

11.19 

6.84 

3.02 

0.59 

7.5 

.26 

13.07 

16.53 

18.69 

.74 

2.6 

18.38 

17.67 

15.07 

11.15 

6.80 

2.99 

0.57 

7.4 

.27 

13.11 

16.56 

18.71 

.73 

2.7 

18.38 

17.65 

15.03 

11.11 

6.75 

2.96 

0.56 

7.:t 

.28 

13.15 

16.59 

18.72 

.72 

2.8 

18.38 

17.64 

15.00 

11.06 

6.71 

2.92 

0.54 

7.2 

.29 

13.19 

16.62 

18.74 

.71 

2.9 

18.39 

17.62 

14.96 

11.02 

6.67 

2.89 

0.53 

7.1 

.30 

13.23 

16.65 

18.75 

.70 

3.0 

18.39 

17.60 

14.93 

10.98 

6.63 

2.86 

0.51 

7.0 

.31 

13.27 

16.68 

18.76 

.69 

3.1 

18.39 

17.58 

14.89 

10.94 

6.59 

2.83 

0.50 

6.9 

.32 

13.31 

16.71 

18.77 

.68 

:i.2 

18.39 

17.56 

14.86 

10.89 

6.55 

2.80 

0.  IS 

(i.s 

.33 

13.35 

16.74 

18.79 

.67 

:{.:< 

18.39 

17.54 

14.89 

10.85 

6.50 

2.76 

0.47 

6.7 

.34 

13.38 

16.76 

18.80 

.66 

3.4 

18.40 

17.53 

14.79 

10.81 

6.46 

2.73 

0.46 

6.6 

Jfl 

13.42 

16.79 

18.81 

.65 

3.5 

18.40 

17.51 

14.75 

10.76 

6.42 

2.70 

0.44 

6.5 

.36 

13.46 

16.82 

18.82 

.64 

3.6 

18.40 

17.49 

14.72 

10.72 

6.3H 

2.67 

0.43 

6.4 

.37 

13.49 

16.84 

18.84 

.63 

3.7 

is.  10 

17.47 

14.68 

10.67 

(i.:t:( 

2.64 

0.42 

<;.;! 

.38 

13.53 

16.87 

18.85 

.62 

3.8 

is.  Ml 

17.45 

14.65 

l().(i:i 

8.28 

2.61 

0.40 

6.2 

.39 

13.57 

16.90 

18.86 

.61 

3.9 

18.40 

17.43 

14.61 

10.5H 

6.25 

2.58 

0.88 

6.1 

.40 

13.61 

16.93 

18.87 

.60 

4.0 

18.40 

17.41 

14.58 

10.54 

6.21 

2.55 

0.3N 

6.0 

.41 

13.65 

16.96 

18.88 

.59 

4.1 

is.  in 

17.39 

14.54 

10.49 

6.17 

2.52 

0.87 

5.9 

.42 

18.69 

16.98 

is.sfi 

.58 

4.2 

18.40 

17.37 

11.51 

10.45 

6.13 

2.49 

0.36 

5.8 

.43 

13.72 

17.01 

18.90 

.57 

4.3 

1840 

17.35 

14.47 

10.41 

6.09 

2.46 

0.34 

5.7 

.44 

13.76 

17.03 

18.91 

.56 

4.4 

18.40 

17.33 

14.44 

10.36 

6.04 

2.43 

0.33 

5.6 

46 

13.80 

17.06 

18.92 

.55 

4.5 

18.40 

17.31 

14.40 

10.32 

6.00 

2.40 

0.32 

5.5 

.46 

13.83      17.0!) 

18.98 

.54 

4.6 

18.40 

17.29 

14.37 

JO.'JN 

5.96 

2.:n 

OJ1 

5.4 

,17 

13.87'      17.11 

18.94 

.58 

4.7 

18.10 

17.26 

1  l  :t:t 

1(1.23 

5.93 

2.35 

0.30 

5.3 

.48 

13.90      17.14 

18.95 

.52 

4.8 

IH.W 

17.24 

1  1.:«) 

10.19 

6.88 

2.:« 

0.29 

5.2 

.49 

13.94      17.16 

18.96 

.51 

4.9 

18.39 

17.22 

i  i  -ji; 

10.15 

5.N  1 

229 

0.28 

5.1 

.50 

13.!»s 

17.19 

18.97 

.50 

5.0 

18.39 

17.20 

14.22 

10.11 

5.80 

2.26 

0.27 

5.0 

Days.    1O 

9 

8      Days. 

Days.  13O 

130 

110 

100 

00 

8O 

7O  Days. 

190 


TABLE  XXV. 

(Continued.) 
Period,  14.317313  days 


TABLE  XXVI.    ARG.  21. 

Equation  =  9".2  [  1  —  sin.  (2x  -f  z  —  2<)] . 
Period,  131.671123  days. 


Days 

.      5 

6 

7      1 

)ays. 

Days 

0 

10 

20 

30 

40 

5O 

CO  I 

)ays. 

Days. 

.50 

13.98 

17.19 

18.97 

I);iys. 

.50 

Days. 

5.0 

18.39 

.17.20 

II 

14.22 

10.11 

5.80 

2.26 

0.27 

Davs 

5.0 

.51 

14.02 

17.22 

18.98 

.49 

5.1 

18.39 

17.18 

14.18 

10.06 

5.76 

2.23 

0.26 

4.9 

.52 

14.06 

17.24 

18.99 

.48 

5.2 

18.39 

17.15 

14.15 

10.02 

5.72 

2.20 

0.25 

4.8 

.53 

14.09 

17.27 

19.00 

.47 

5.3 

18,38 

17.13 

14.11 

9.97 

5.68 

2.18 

0.24 

4.7 

.54 

14.13 

17.29 

19.00 

.46 

5.4 

18.38 

17.11 

14.07 

9.93 

5.64 

2.15 

0.23 

4.6 

.55 

14.17 

17.32 

19.01 

.45 

5.5 

18.38 

17.08 

14.04 

9.88 

5.60 

2.12 

0.22 

4.5 

.56 

14.20 

17.34 

19.02 

.44 

5.6 

18.37 

17.06 

14.00 

9.84 

5.56 

2.09 

0.21 

4.4 

.57 

14.24 

17.36 

19.03 

.43 

5.7 

18.37 

17.04 

13.96 

9.79 

5.52 

2.07 

0.20 

4.3 

.58 

14.27 

17.39 

19.03 

.42 

5.8 

18.37 

17.01 

13.93 

9.7f, 

5.48 

2.04 

0.19 

4.2 

.59 

14.31 

17.41 

19.04 

.41 

5.9 

18.36 

16.99 

13.89 

9.71 

5.44 

2.01 

0.18 

4.1 

.60 

14.35 

17.44 

19.05 

.40 

6.0 

18.36 

16.97 

13.85 

9.67 

5.40 

1.98 

0.17 

4.0 

.61 

14.39 

17.46 

19.06 

.39 

6.1 

18.36 

16.95 

13.81 

9.62 

5.36 

1.95 

0.16 

3.9 

.62 

14.42 

17.49 

19.06 

.38 

6.2 

18.35 

16.92 

13.77 

9.58 

5.32 

1.93 

0.15 

3.8 

.63 

14.46 

17.51 

19.07 

.37 

6.3 

18.35 

16.90 

13.74 

9.53 

5.28 

1.90 

0.14 

3.7 

.64 

14.49 

17.54 

19.07 

.36 

6.4 

18.35 

16.87 

13.70 

9.49 

5.24 

1.87 

0.14 

3.6 

.65 

14.53 

17.56 

19.08 

.35 

6.5 

18.34 

16.85 

13.66 

9.44 

5.20 

1.85 

0.13 

3.5 

.66 

14.57 

17.58 

19.09 

.34 

6.6 

18.34 

16.82 

13.62 

9.40 

5.17 

1.82 

0.12 

3.4 

.67 

14.60 

17.61 

19.09 

.33 

6.7 

18.33 

16.80 

13.58 

9.36 

5.13 

1.79 

0.11 

3.3 

.68 

14.64 

17.63 

19.10 

.32 

6.8 

18.33 

1677 

13.54 

9.32 

5.09 

1.77 

0.11 

3.2 

.69 

14.67 

17.66 

19.10 

.31 

6.9 

18.32 

16.75 

13.50 

9.27 

5.05 

1.74 

0.10 

3.1 

.70 

14.71 

17.68 

19.11 

.30 

7.0 

18.32 

16.72 

13.46 

9.23 

5.01 

1.71 

0.09 

3.0 

.71 

14.75 

17.70 

19.12 

.29 

7.1 

18.31 

16.70 

13.42 

9.19 

4.97 

1.69 

0.09 

2.9 

.72 

14.78 

17.72 

19.12 

.28 

7.2 

18.30 

16.67 

13.38 

9.14 

4.93 

1.66 

0.08 

2.8 

.73 

14.82 

17.75 

19.13 

.27 

7.3 

18.30 

16.65 

13.34 

9.10 

4.89 

1.64 

0.08 

2.7 

.74 

14.85 

17.77 

19.13 

.26 

7.4 

18.29 

16.62 

13.30 

9.06 

4.85 

1.61 

0.07 

2.6 

.75 

14.89 

17.79 

19.14 

.25 

7.5 

18.28 

16.60 

13.26 

9.01 

4.82 

1.59 

0.07 

2.5 

.76 

14.92 

17.81 

19.14 

.24 

7.6 

18.28 

16.57 

13.22 

8.97 

4.78 

1.56 

0.0^ 

2.4 

.77 

14.95 

17.84 

19.15 

.23 

7.7 

18.27 

16.54 

13.18 

8.93 

4.74 

1.54 

O.Ou 

2.3 

.78 

14.99 

17.86 

19.15 

.22 

7.8 

18.26 

16.52 

13.14 

8.88 

4.70 

1.51 

0.05 

2.2 

.79 

15.02 

17.88 

19.16 

.21 

7.9 

18.26 

16.49 

13.10 

8.84 

4.66 

1.49 

0.05 

2.1 

.80 

15.06 

17.90 

19.16 

.20 

8.0 

18.25 

16.46 

13.06 

8.80 

4.62 

1.46 

0.04 

'2.0 

.81 

15.09 

17.92 

19.16 

.19 

8.1 

18.24 

16.43 

13.02 

8.76 

4.58 

1.44 

0.04 

1.9 

.82 

15.13 

17.94 

19.17 

.18 

8.2 

18.23 

16.41 

12.98 

£.71 

4.5  1 

1.41 

0.03 

1.8 

.83 

15.16 

17.96 

19.17 

.17 

8.3 

18.22 

10.38 

12.i)4 

8.67 

4.51 

1.39 

0.03 

1.7 

.84 

15.20 

17.98 

19.17 

.16 

8.4 

18.21 

16.35 

12.90 

8.62 

4.47 

1.37 

0.03 

1.6 

.85 

15.23 

18.00 

19.18 

.15 

8.5 

18.20 

16.32 

12.86 

8.58 

4.43 

.34 

0.02 

1.5 

.86 

15.26 

18.02 

19.18 

.14 

8.6 

18.19 

16.30 

12.82 

8.54 

4.39 

.32 

0.02 

1.4 

.87 

15.30 

18.04 

19.18 

.13 

8.7 

18.18 

16.27 

12.78 

8.49 

4.35 

.30 

0.02 

1.3 

.88 

15.33 

18.06 

19.19 

.12 

8.8 

18.17 

16.24 

12.74 

8.45 

4.32 

.27 

0.02 

1.2 

.89 

15.37 

18.08 

19.19 

.11 

8.9 

18.16 

16.21 

12.70 

8.40 

4.28 

.25 

0.01 

1.1 

.90 

15.40 

18.10 

19.19 

.10 

9.0 

18.15 

16.18 

12.66 

8.36 

4.24 

1.23 

0.01 

1.0 

.91 

15.43 

18.12 

19.19 

.09 

9.1 

18.14 

16.15 

12.62 

8.31 

4.20 

1.21 

0.01 

0.9 

.92 

15.46 

18.14 

19.19 

.08 

9.2 

18.13 

16.12 

12.58 

8.27 

4.17 

1.19 

0.01 

0.8 

.93 

15.50 

18.16 

19.19 

.07 

9.3 

18.12 

16.10 

12.54 

8.23 

4.13 

1.16 

0.01 

0.7 

.94 

15.53 

18.18 

19.20 

.06 

9.4 

18.11 

16.07 

12.50 

8.18 

4.09 

1.14 

0.00 

0.6 

.95 

15.57 

18.20 

19.20 

.05 

9.5 

18.10 

16.04 

12.46 

8.14 

4.06 

1.12 

0.00 

0.5 

.96 

15.60 

18.21 

19.20 

.04 

9.6 

18.09 

16.01 

12.41 

8.10 

4.02 

1.10 

0.00 

0.4 

.97 

15.63 

18.23 

19.20 

.03 

9.7 

18.07 

15.98 

12.37 

8.05 

3.99 

1.08 

0.00 

0.3 

.98 

15.67 

18.25 

19.20 

.02 

9.8 

18.06 

15.95 

12.33 

8.01 

3.95 

1.06 

0.00 

0.2 

.99 

15.70 

18.27 

19.20 

.01 

9.9 

18.05 

15.92 

12.29 

7.96 

3.92 

1.04 

0.00 

0.1 

1.00 

15.73 

18.29 

19.20 

.00 

10.0 

18.04 

15.89 

12.25 

7.92 

3.88 

1.02 

0.00 

0.0 

Days 

.    1O 

9 

8 

3ays. 

Days 

.  13O 

130 

no 

1OO 

9O 

SO 

7O  1 

Days. 

191 


TABLE  XXVII.    ARGUMENT  22. 


Equation  =  8".l  —  0".4  sin.  (t  —  z)  -f-  7'  .8  sin.  2  (t  —  z). 
Period,  32.128086  days. 


Days.         O 

1 

2 

3 

4 

S 

6 

7 

8 

9 

Days. 

.00 

0.02 

6.78 

2.59 

5.23 

8.30 

11.33 

13.89 

15.59 

16.18 

15.59 

.01 

0.02 

0.79 

2.62 

5.26 

8.33 

11.36 

13.92 

15.60 

16.18 

15.58 

.02 

0.03 

0.80 

2.64 

5.29 

8.36 

11.39 

13.94 

15.62 

16.18 

15.56 

.03 

0.03 

0.82 

2.66 

5.32 

8.39 

11.42 

13.96 

15.63 

16.18 

15.55 

.04 

0.03 

0.83 

2.68 

5.35 

8.42 

11.45 

13.98 

15.64 

16.18 

15.54 

.05 

0.03 

0.84 

2.70 

5.38 

8.45 

11.48 

14.00 

15.65 

16.18 

15.53 

.06 

0.03 

0.86 

2.73 

5.41 

8.48 

11.51 

14.02 

15.66 

16.18 

15.52 

.07 

0.04 

0.87 

2.75 

5.44 

8.51 

11.53 

14.04 

15.67 

16.18 

15.51 

.08 

0.04 

0.89 

2.78 

5.47 

8.54 

11.56 

14.06 

15.69 

16.18 

15.49 

.09 

0.04 

0.90 

2.80 

5.50 

8.58 

11.59 

14.08 

15.70 

16.18 

15.48 

.10 

0.05 

0.91 

2.82 

5.53 

8.61 

11.62 

14.11 

15.71 

16.18 

15.47 

.11 

0.05 

0.93 

2.85 

5.56 

8.64 

11.65 

14.13 

15.72 

16.17 

15.45 

.12 

0.05 

0.94 

2.87 

5.59 

8.67 

11.67 

14.15 

15.73 

16.17 

15.44 

.13 

0.06 

0.96 

2.90 

5.62 

8.70 

11.70 

14.17 

15.74 

16.17 

15.43 

.14 

0.06 

0.97 

2.92 

5.65 

8.73 

11.73 

14.19 

15.75 

16.17 

15.41 

.15 

0.06 

0.99 

2.95 

5.68 

8.76 

11.76 

14.21 

15.76 

16.17 

15.40 

.16 

0.07 

1.00 

2.97 

5.71 

8.79 

11.79 

14.23 

15.77 

16.17 

15.39 

.17 

0.07 

1.02 

3.00 

5.74 

8.82 

11.81 

14.25 

15.78 

16.17 

15.87 

.18 

0.08 

1.03 

3.02 

5.77 

8.85 

11.84 

14.27 

15.79 

16.16 

15.36 

.19 

0.08 

1.05 

3.05 

5.80 

8.89 

11.87 

14.29 

15.80 

16.16 

15.35 

.20 

0.08 

1.06 

3.07 

5.83 

8.92 

11.90 

14.31 

15.81 

16.16 

15.33 

.21 

0.09 

1.08 

3.10 

5.86 

8.95 

11.93 

14.33 

15.81 

16.16 

15.32 

.2-2 

0.09 

1.09 

3.12 

5.89 

8.98 

11.95 

14.35 

15.82 

16.15 

15.31 

.23 

0.10 

1.11 

3.15 

5.92 

9.01 

11.98 

14.37 

15.83 

16.15 

15.29 

.24 

0.10 

1.12 

3.17 

5.95 

9.04 

12.01 

14.39 

15.84 

16.15 

15.28 

.25 

0.11 

1.14 

3.20 

5.98 

9.07 

12.04 

14.41 

15.85 

16.15 

15.26 

.26 

0.11 

1.15 

8.89 

6.01 

9.10 

12.07 

14.43 

15.86 

16.15 

15.25 

.27 

0.12 

1.17 

3.25 

6.04 

9.13 

12.09 

14.45 

15.87 

16.14 

15.23 

.28 

0.12 

1.18 

3.27 

6.07 

9.16 

12.12 

14.47 

15.87 

16.14 

15.22 

.29 

0.13 

1.26 

3.30 

6.10 

9.20" 

12.15 

14.48 

15.88 

16.14 

15.20 

.30 

0.13 

1.22 

3.32 

6.13 

9.23 

12.17 

14.50 

15.89 

16.13 

15.19 

.31 

0.14 

1.23 

3.35 

6.16 

9.26 

12.20 

14.52 

15.90 

16.13 

15.17 

.32 

0.14 

1.25 

3.37 

6.19 

9.29 

12.23 

14.54 

15.90 

16.13 

15.16 

.:{:t 

0.15 

1.26 

.'(.  10 

6.22 

9.32 

12.25 

14.56 

15.91 

16.12 

15.14 

.34 

0.15 

1.28 

3.42 

6.25 

9.35 

12.28 

14.58 

15.92 

16.12 

15.13 

.35 

0.16 

1.30 

3.45 

6.28 

9.38 

12.31 

14.60 

15.93 

16.11 

15.11 

.36 

0.16 

1.31 

3.47 

6.31 

9.41 

12.33 

14.62 

15.94 

16.11 

15.10 

.37 

0.17 

1.33 

3.50 

6.34 

9.44 

12.3(5 

14.64 

15.94 

16.10 

15.«8 

.38 

0.17 

1JB 

MB 

6.37 

9.47 

12.38 

14.66 

15.95 

16.10 

15.07 

.39 

0.18 

1.36 

3.55 

6.41 

9.51 

12.41 

14.68 

15.96 

16.09 

15.05 

.40 

0.19 

1.38 

3.58 

6.44 

9.54 

12.44 

14.69 

15.96 

Ifi.O!) 

15.03 

.41 

0.20 

1.40 

:t.(io 

6.47 

9.57 

12.46 

14.71 

15.97 

16.<M 

15.02 

.42 

0.20 

1.41 

3.63 

6.50 

9.60 

12.49 

14.73 

15.98 

10.08 

15.00 

.43 

0.21 

1.43 

3.65 

6.53 

9.63 

12.51 

14.75 

KM 

16.07 

14.99 

.44 

0.21 

1.45 

3.68 

6.56 

9.66 

12.54 

14.77 

15.99 

16.07 

14.97 

.45 

0.22 

1.47 

:i.7l 

6.59 

9.69 

12.57 

14.79 

16.00 

16.06 

14.95 

.46 

0.22 

1.49 

3.73 

6.62 

9.72 

12.59 

14.81 

16.00 

16.06 

14.94 

.11 

0.23 

1.51 

:t.7(i 

6.65 

9.75 

12.62 

14.82 

16.01 

16.05 

14.92 

.is 

0.24 

1.53 

:*.7N 

6.68 

9.78 

12.64 

14.84 

16.01 

16.05 

14.90 

.lit 

0.24 

1.54 

3.81 

6.72 

9.82 

12.67 

14.86 

16.02 

16.04 

14.89 

.50 

0.25 

1.56 

3.84 

6.75 

9.85 

12.70 

14.87 

16.03 

16.03 

14.87 

192 


TABLE  XXVII.    ARGUMENT  22. 


Equation  =  8".l  —  0".4  sin.  (t  —  z)  -f  7'  .8  sin.  2  (t  —  z). 
Period,  32.128086  days. 


Days.        O 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Days. 

.50 

0.25 

1.56 

(I 

3.84 

it 

6.75 

9.85 

12.70 

14.87 

1603 

16.03 

14.87 

.51 

0.26 

1.58 

3.86 

6.78 

9.88 

12.72 

14.89 

16.03 

16.03 

14.85 

.52 

0.26 

1.60 

3.89 

6.81 

9.91 

12.75 

14.91 

16.04 

16.02 

14.84 

.53 

0.27 

1.62 

3.91 

6.84 

9.94 

12.77 

14.92 

16.04 

16.02 

14.82 

.54 

0.28 

1.64 

3.94 

6.87 

9.97 

12.80 

14.94 

16.05 

16.01 

14.80 

.55 

0.29" 

1.66 

3.97 

6.90 

10.00 

12.82 

14.96 

16.05 

16.00 

14.78 

.56 

0.30 

1.68 

3.99 

6.33 

10.03 

12.85 

14.97 

16.06 

16.00 

14.76 

.57 

0.31 

1.70 

4.02 

6ft6 

10.06 

12.87 

14.99 

16.06 

15.99 

14.75 

.58 

0.32 

1.71 

4.05 

6.99 

10.09 

12.90 

15.00 

16.07 

15.98 

14.73 

.59 

0.32 

1.73 

4.07 

7.03 

10.12 

12.92 

15.02 

16.07 

15.98 

14.71 

.60 

0.33 

1.75 

4.10 

7.06 

10.15 

12.95 

15.04 

16.08 

15.97 

14.69 

.61 

0.34 

1.77 

4.13 

7.09 

10.18 

12.97 

15.05 

16.08 

15.96 

14.67 

.62 

0.35 

1.79 

4.15 

7.12 

10.21 

13.00 

15.07 

16.09 

15.96 

14.66 

.63 

0.36 

1.81 

4.18 

7.15 

10.24 

13.02 

15.08 

16.09 

15.95 

14.64 

.64 

0.37 

1.83 

4.21 

7.18 

10.27 

13.05 

15.10 

16.10 

15.94 

14.62 

.65 

0.38 

1.85 

4.24 

7.21 

10.30 

13.07 

15.11 

16.10 

15.93 

14.60 

.66 

0.39 

1.87 

4.26 

7.24 

10.33 

13.10 

15.13 

16.11 

15.92 

14.58 

.67 

0.40 

1.89 

4.29 

7.27 

10.36 

13.12 

15.14 

16.11 

15.91 

14.56 

.68 

0.41 

1.91 

4.32 

7.30 

10.39 

13.15 

15.16 

16.12 

15.91 

14.54 

.69 

0.42 

1.93 

4.35 

7.34 

10.42 

13.17 

15.17 

16.12 

15.90 

14.53 

.70 

0.43 

1.95 

4.38 

7.37 

10.45 

13.20 

15.19 

16.12 

15.89 

14.51 

.71 

0.44 

1.97 

4.40 

7.40 

10.48 

13.22 

15.20 

16.13 

15.88 

14.49 

.72 

0.45 

1.99 

4.43 

7.43 

10.51 

13.25 

15.22 

16.13 

15.88 

14.47 

.73 

0.46 

2.01 

4.46 

7.46 

10.54 

13.27 

15.23 

16.13 

15.87 

14.45 

.74 

0.47 

2.03 

4.49 

7.49 

10.57 

13.30 

15.25 

16.14 

15.86 

14.43 

.75 

0.48 

2.05 

4.52 

7.52 

10.60 

13.32 

15.26 

16.14 

15.85 

14.41 

.76 

0.49 

2.07 

4.54 

7.55 

10.63 

13.35 

15.28 

16.14 

15.84 

14.39 

.77 

0.50 

2.09 

4.57 

7.58 

10.66 

13.37 

15.29 

16.15 

15.83 

14.37 

.78 

0.51 

2.12 

4.60 

7.61 

10.69 

13.40 

15.31 

16.15 

15.82 

14.36 

.79 

0.53 

2.14 

4.63 

7.65 

10.72 

13.42 

15.32 

16.15 

15.81 

14.34 

.80 

0.54 

2.16 

4.66 

7.68 

10.75 

13.44 

15.33 

16.16 

15.80 

14.32 

.81 

0.55 

2.18 

4.68 

7.71 

10.78 

13.47 

15.34 

16.16 

15.79 

14.30 

.82 

0.56 

2.20 

4.71 

7.74 

10.81 

13.49 

15.36 

16.16 

15.78 

14.28 

.83 

0.57 

2.22 

4.74 

7.77 

10.84 

13.52 

15.38 

16.17 

15.77 

14.26 

.84 

0.58 

2.24 

4.77 

7.80 

10.87 

13.54 

15.39 

16.17 

15.76 

14.24 

.85 

0.59 

2.26 

4.80 

7.83 

10.90 

13.56 

15.40 

16.17 

15.75 

14.22 

.86 

0.6  li          2.29 

4.83 

7.86 

10.93 

13.59 

15.42 

16.17 

15.74 

14.20 

.87 

0.62 

2.31 

4.86 

7.89 

10.96 

1    13.61 

15.43 

16.18 

15.73 

14.18 

.88 

0.63 

2.33 

4.88 

7.93 

10.98 

13.63 

15.44 

16.18 

15.72 

14.16 

.89 

0.64 

2.35 

4.91 

7.96 

11.01 

13.65 

15.46 

16.18 

15.71 

14.14 

.90 

0.65 

2.37 

4.94 

7.99 

11.04 

13.67 

15.47 

16.18 

15.70 

14.11 

.91 

0.67 

2.40 

4.97 

8.02 

11.07 

13.70 

15.48 

16.18 

15.69 

14.09 

.92 

0.68 

2.42 

5.00 

8.05 

11.10 

13.72 

15.50 

16.18 

15.68 

14.07 

.93 

0.69 

2.44 

5.03 

8.08 

11.13 

13.74 

15.51 

16.18 

15.67 

14.05 

.94 

0.70 

2.46 

5.06 

8.11 

11.16 

13.76 

15.52 

16.18 

15.66 

14.03 

.95 

0.71 

2.48 

5.09 

8.14 

11.19 

13.78 

15.53 

16.18 

15.65 

14.01 

.96 

0.72 

2.51 

5.12 

8.17 

11.22 

13.81 

15.54 

16.18 

15.64 

13.99 

.97 

0.74 

2.53 

5.15 

8.20 

11.25 

13.83 

15.56 

16.18 

15.63 

13.97 

.98 

0.75 

2.55 

5.17 

8.23 

11.27 

13.85 

15.57 

16.18 

15.61 

13.94 

.99 

0.76 

2.57 

5.20 

8.27 

11.30 

13.87 

15.58 

16.18 

15.60 

13.92 

1.00 

0.78 

2.59 

5.23 

8.30 

11.33 

13.89 

15.59 

16.18 

15.59 

13.90 

t  :  

193 


TABLE  XXVII.    ARGUMENT  22. 

Equation  =  8".l  —  0".4  sin.  (t  —  *)  -f  7".8  sin.  2  (t  —  z). 
Period,  32.128086  days. 


Days.      1O 

11 

13 

13 

14 

IS 

16 

17 

18 

19 

Davj. 

.00 

13.90 

11.38 

8.40 

5.42 

2.90 

1.20 

0.58 

• 

1.1S 

II 

2.76 

5.21 

.01 

13.88 

11.36 

8.37 

5.39 

2.88 

1.19 

0.58 

1.14 

2.78 

5.23 

.02 

13.85 

11.33 

8.34 

5.36 

2.86 

1.18 

0.58 

1.15 

2.80 

5.26 

.03 

13.83 

11.30 

8.31 

5.34 

2.84 

1.16 

0.58 

1.17 

2.82 

5.29 

.04 

13.81 

11.27 

8.27 

5.31 

2.81 

1.15 

0.58 

1.18 

2.84 

5.31 

.05 

13.79 

11.24 

8.24 

5.28 

2.79 

1.14 

0.58 

1.19 

2.86 

5.34 

.06 

13.77 

11.21 

8.21 

5.26 

2.77 

1.13 

0.58 

1.20 

2.89 

5.37 

.07 

13.75 

11.18 

8.18 

5.23 

2.75 

1.12 

0.59 

1.2 

2.91 

5.39 

.08 

13.72 

11.15 

8.15 

5.20 

2.73 

1.10 

0.59 

1.23 

2.93 

5.43 

.09 

13.70 

11.13 

8.12 

5.18 

2.71 

1.09 

0.59 

1.24 

2.95 

5.45 

.10 

13.68 

11.10 

8.09 

5.15 

2.69 

1.08 

0.59 

1.25 

2.97 

5.48 

.11 

13.66 

11.07 

8.06 

5.12 

2.67 

1.07 

0.59 

1.26 

2.99 

5.51 

.12 

13.63 

11.04 

8.03 

5.10 

2.65 

1.06 

0.59 

1.27 

3.01 

5.54 

.13 

13.61 

11.01 

8.00 

5.07 

2.63 

1.05 

0.59 

1.29 

3.04 

5.56 

.14 

13.59 

10.98 

7.97 

5.04 

2.61 

1.04 

0.59 

1.30 

3.06 

5.59 

.15 

13.57 

10.94 

7.94 

5.02 

2.58 

1.03 

0.59 

1.31 

3.08 

5.62 

.16 

13.55 

10.91 

7.91 

'  4.99 

2.56 

1.02 

0.60 

1.33 

3.10 

5.65 

.17 

13.52 

10.89 

7.88 

4.96 

2.54 

1.01 

0.60 

1.34 

3.12 

5.68 

.18 

13.50 

10.86 

7.85 

4.94 

2.52 

1.00 

0.60 

1.36 

3.15 

5.70 

.19 

13.48 

10.84 

7.82 

4.91 

2.50 

0.99 

0.6d 

1.37 

3.17 

5.73 

.20 

13.45 

10.81 

7.79 

4.88 

2.48 

0.98 

0.60 

1.38 

3.19 

5.76 

.21 

13.43 

10.78 

7.76 

4.86 

2.46 

0.97 

0.60 

1.39 

3.21 

5.79 

.22 

13.41 

10.75 

7.73 

4.83 

2.44 

0.96 

0.60 

1.41 

3.23 

5.82 

.23 

13.38 

10.72 

7.70 

4.80 

2.42 

0.95 

0.61 

1.42 

3.26 

5.85 

.24 

13.36 

10.69 

7.67 

4.78 

2.40 

0.94 

0.61 

1.43 

3.28 

5.87 

.25 

13.33 

10.66 

7.64 

4.75 

2.38 

0.93 

0.61 

1.45 

3.30 

5.90 

.26 

13.31 

10.63 

7.61 

4.71 

2.37 

0.93 

0.62 

1.46 

3.33 

5.93 

.27 

13.28 

10.60 

7.58 

4.69 

2.35 

0.92 

0.62 

1.48 

3.35 

5.96 

.28 

13.26 

10.57 

7.55 

4.66 

2.33 

0.91 

0.62 

1.49 

3.37 

5.99 

.29 

13.23 

10.55 

7.52 

4.64 

2.31 

0.90 

0.63 

1.51 

3.40 

6.02 

.30 

13.21 

10.52 

7.49 

4.61 

2.29 

0.89 

0.63 

1.52 

3.42 

6.05 

.31 

13.18 

10.49 

7.46 

4.58 

2.27 

0.88 

0.63 

1.53 

3.44 

6.08 

.32 

13.16 

10.46 

7.43 

4.56 

2.25 

0.87 

0.64 

1.55 

3.47 

6.11 

.33 

'     13.13 

10.43 

7.40 

4.53 

2.24 

0.86 

0.64 

1.57 

3.49 

6.14 

.34 

13.11 

10.40 

7.37 

4.50 

2.22 

0.86 

0.65 

1.58 

3.51 

6.17 

.35 

13.08 

10.37 

7.34 

4.48 

2.20 

0.85 

0.65 

1.60 

3.54 

6.19 

.36 

13.06 

10.34 

7.31 

4.45 

2.18 

0.84 

0.65 

1.61 

3.56 

6.22 

.37 

13.03 

10.31 

7.28 

4.43 

2.17 

0.83 

0.66 

1.63 

3.59 

6.25 

.38 

13.01 

10.28 

7.25 

4.40 

2.15 

0.83 

0.66 

1.64 

3.61 

6.28 

.39 

12.98 

10.25 

7.22 

4.38 

2.13 

0.82 

0.67 

1.66 

3.64 

6.31 

.40 

12.96 

10.22 

7.19 

4.35 

2.11 

0.81 

0.67 

1.67 

3.66 

6.34 

.41 

12.93 

10.19 

7.16 

4.33 

2.09 

0.80 

0.67 

1.69 

3.68 

6.37 

.42 

12.91 

10.16 

7.13 

4.30 

2.07 

0.79 

0.68 

1.70 

3.71 

6.40 

.43 

12.88 

10.13 

7.10 

4.28 

2.06 

0.79 

0.68 

1.72 

3.73 

6.43 

.44 

12.N6 

10.10 

7.07 

4.25 

2.04 

0.78 

0.69 

1.73 

3.75 

6.46 

.45 

12.83 

10.07 

7.04 

4.23 

2.02 

0.78 

0.69 

1.75 

3.78 

6.48 

.46 

12.81 

10.04 

7.01 

4.21 

2.00 

0.77 

0.69 

1.76 

3.80 

6.51 

.47 

12.78 

10.01 

(i.its 

4.18 

1.98 

0.76 

0.70 

1.78 

3.82 

6.54 

.48 

12.7<i 

9.98 

6.95 

4.16 

l.<)7 

0.76 

0.70 

1.79 

3.85 

6.57 

.49 

12.73 

9.95 

6.92 

4.12 

1.95 

0.75 

0.71 

1.81 

3.87 

6.60 

.50 

12.71 

9.92 

6.89 

4.09 

1.93 

0.75 

0.71 

1.82 

3.90 

6.63 

19t 


TABLE  XXVII.    ARGUMENT  22. 


Equation  =  8".l  —  0".4  sin.  (t  —  z)  -f-  7".8  sin.  2  (t  —  z). 
Period,  32.128086  days. 


Days.       1O 

11 

13 

13 

14 

15 

16 

17 

18 

19 

Days. 

.50 

12.71 

9.92 

6.89 

II 

4.09 

1.93 

0.75 

H 

0.71 

'  V82 

3.90 

6.63 

.51 

12.68 

9.89 

6.86 

4.06 

1.91 

0.74 

0.72 

1.84 

3.92 

6.66 

.52 

12.66 

9.86 

6.83 

4.04 

1.89 

0.74 

0.72 

1.85 

3.95 

6.69 

.53 

12.63 

9.83 

6.80 

4.01 

1.88 

0.73 

0.73 

1.87 

3.97 

6.72 

.54 

12.61 

9.80 

6.77 

3.99 

1.86 

0.73 

0.74 

1.88 

4.00 

6.75 

.55 

12.58 

9.77 

6.74 

3.96 

1.84 

0.72 

0.74 

1.90 

4.02 

6.77 

.56 

12.56 

9.74 

6.71 

3.94 

1.83 

0.72 

0.75 

1.92 

4.05 

6.80 

.57 

12.53 

9.71 

6.68 

3.91 

1.81 

0.71 

0.75 

1.93 

4.07 

6.83 

.58 

12.51 

9.68 

6.65 

3.89 

1.79 

0.71 

0.76 

1.95 

4.10 

6.86 

.59 

12.48 

9.65 

6.62 

3.86 

1.78 

0.70 

0.77 

1.96 

4.12 

6.89 

.60 

12.45 

9.62 

6.59 

3.84 

1.76 

0.70 

0.77 

1.98 

4.15 

6.92 

.61 

12.43 

9.59 

6.56 

3.81 

1.74 

0.69 

0.78 

2.00 

4.17 

6.95 

.62 

12.40 

9.56 

6.53 

3.79 

1.73 

0.69 

0.79 

2.02 

4.20 

6.98 

.63 

12.38 

9.53 

6.50 

3.76 

1.71 

0.68          0.79 

2.03 

4.22 

7.01 

.64 

12.35 

9.50 

6.47 

3.74 

1.70 

0.68 

0.80 

2.05 

4.25 

7.04 

.65 

12.32 

9.47 

6.44 

3.71 

1.68 

0.67 

0.81 

2.07 

4.28 

7.06 

.66 
.67 

12.30 

12.27 

9.44 
'      9.41 

6.41 
6.38 

3.69 
3.66 

1.67 
1.65 

0.67 
0.66 

0.81 

0.82 

2.09 
2.11 

4.3fi 
4.3l 

17.09 
7.12 

.68 

12.25 

9.38 

6.35 

3.64 

1.64 

0.66 

0.83 

2.12 

4.35 

7.15 

.69 

1222 

9.35 

6.32 

3.61 

1.62 

0.65 

0.83 

2.14 

4.38 

7.18 

.70 

12.19 

9.32 

6.29 

'  3.59 

1.61 

0.65 

0.84 

2.16 

4.41 

7.21 

.71 

12.17 

9.29 

6.26 

3.56 

1.59 

0.64 

0.85 

2.18 

4.43 

7.24 

.72 

12.14 

9.26 

6.23 

3.54 

1.58 

0.64 

0.86 

2.20 

4.46 

7.27 

.73 

12.12 

9.23 

6.20 

3.51 

1.56 

0.63 

0.86 

2.22 

4.48 

7.30 

.74 

12.09 

9.20 

6.17 

3.49 

1.55 

0.63 

0.87 

2.24 

4.51 

7.33 

.75 

12.06 

9.17 

6.14 

3.47 

1.54 

0.63 

0.88 

2.25 

4.54 

7.36 

.76 

12.04 

9.14 

6.11 

3.44 

1.52 

0.62 

0.89 

2.27 

4.56 

7.39 

.77 

12.01 

9.11 

6.08 

3.42 

1.51 

0.62 

0.90 

2.29 

4.59 

7.42 

.78 

11.98 

9.08 

6.05 

3.39 

1.49 

0.61 

0.90 

2.31 

4.61 

7.45 

.79 

11.96 

9.05 

6.02 

3.37 

1.48 

0.61 

0.91 

2.33 

4.64 

7.48 

.80 

11.93 

9.02 

5.99 

3.35 

1.47 

0.61 

0.92 

2.35 

4.67 

7.51 

.81 

11.90 

8.99 

5.96 

3.32 

1.45 

0.61 

0.93 

2.37 

4.70 

7.54 

.82 

11.88 

8.96 

5.93 

3.30 

1.44 

0.60 

0.94 

2.39 

4.72 

7.57 

.83 

11.85 

8.93 

5.90 

3.28 

1.42 

0.60 

0.95 

2.41 

4.75 

7.60 

.84 

11.82 

8.90 

5.87 

3.25 

1.41 

0.60 

0.96 

2.43 

4.78 

7.63 

.85 

11.79 

8.87 

5.84 

3.23 

1.40 

0.60 

0.97 

2.45 

4.80 

7.66 

.86 

11.77 

8.84 

5.82 

3.21 

1.38 

0.60 

0.98 

2.47 

4.83 

7.69 

.87 

11.74 

8.81 

5.79 

3.19 

1.37 

0.59 

0.99 

2.49 

4.86 

7.72 

.88 

11.71 

8.78 

5.76 

3.16 

1.35 

0.59 

1.00 

2.51 

4.88 

7.75 

.89 

11.69 

8.75 

5.73 

3.14 

1.34 

0.59 

1.01 

2.53 

4.91 

7.78 

.90 

11.66 

8.71 

5.70 

3.12 

1.33 

0.59 

1.02 

2.55 

4.94 

7.81 

.91 

11.63 

8.68 

5.67 

3.10 

1.32 

0.59 

1.03 

2.57 

4.96 

7.84 

.92 

11.61 

8.65 

5.64 

3.07 

1.30 

0.59 

1.04 

2.59 

4.99 

7.87 

.93 

11.58 

8.62 

5.61 

3.05 

1.29 

0.59 

1.05 

2.61 

5.02 

7.90 

.94 

11.55 

8.59 

5.59 

3.03 

1.27 

0.58 

1.06 

2.63 

5.04 

7.93 

.95 

11.52 

8.56 

5.56 

3.01 

1.26 

0.58 

1.07 

2.65 

5.07 

7.96 

.96 

11.49 

8.53 

5.53 

2.99 

1.25 

0.58 

1.08 

2.68 

5.10 

7.98 

.97 

11.46 

8.50 

5.50 

2.96 

1.24 

0.58 

1.10 

2.70 

5.12 

8.01 

.98 

11.44 

8.46 

5.48 

2.94 

1.22 

0.58 

1.11 

2.72 

5.15 

8.04 

.99 

11.41 

8.43 

5.45 

2.92 

1.21 

0.58 

1.12 

2.74 

5.18 

8.07 

100 

11.38 

8.40 

5.42          2.90 

1.20 

0.58 

1.13 

2.76 

5.21 

8.10 

195 


TABLE  XXVII.    ARGUMENT  22. 

Equation  =  8".l  —  0".4  sin.  (t  —  *)  +  7".8  sin.  2  (t  —  z). 
Period,  32.128086  days. 


Days.     2O 

91 

22 

2» 

24 

25 

26 

27 

28 

29 

Days. 

.00 

8.10 

10.99* 

13".44 

15.07 

15.62 

15.00 

13.30 

10.78 

7.80 

4.82 

.01 

8.13 

11.02 

13.46 

15.08 

15.62 

14.99 

13.28 

10.75 

7.77 

4.79 

.02 

8.16 

11.04 

13.48 

15.09 

15.62 

14.98 

13.26 

10.72 

7.74 

4.76 

.03 

8.19 

11.07 

13.50 

15.10 

15.62 

14.96 

13.23 

10.70 

7.70 

4.74 

.04 

8.22 

11.10 

13.52 

15.11 

15.62 

14.95 

13.21 

10.67 

7.67 

4.71 

.05 

8.25 

11.12 

13.55 

15.13 

15.62 

14.94 

13.19 

10.64 

7.64 

4.68 

.06 

8.27 

11.15 

13.57 

15.14 

15.62 

14.92 

13.17 

10.61 

7.61 

4.65 

.07 

8.30 

11.18 

13.59 

15.15 

15.61 

14.91 

13.15 

1058 

7.58 

4.62 

.08 

8.33 

11.20 

13.61 

15.16 

15.61 

14.90 

13.12 

10.56 

7.55 

4.60 

.09 

8.36 

11.23 

13.63 

15.17 

15.61 

14.88 

13.10 

10.53 

7.52 

4.57 

.10 

8.39 

11.26 

13.65 

15.18 

15.61 

14.87 

13.08 

10.50 

7.49 

4.54 

.11 

8.42 

11.28 

13.67 

15.19 

15.61 

14.86 

13.06 

10.47 

7.45 

4.52 

.12 

8.45 

11.31 

13.69 

15.20 

15.61 

14.84 

13.04 

10.44 

7.42 

4.49 

.13 

8.48 

11.34 

13.71 

15.21 

15.60 

14.83 

13.01 

10.41 

7.39 

4.46 

.14 

8.51 

11.36 

13.73 

15.22 

15.60 

14.81 

12.99 

10.38 

7.36 

4.44 

.15 

8.54 

11.39 

13.75 

15.23 

15.60 

14.80 

12.97 

10.36 

7.38 

4.41 

.16 

8.57 

11.42 

13.77 

15.24 

15.60 

14.79 

12.94 

10.33 

7.30 

4.38 

.17 

8.60 

11.44 

13.79 

15.25 

15.60 

14.77 

12.92 

10.30 

7.27 

4.35 

.18 

8.63 

11.47 

13.81 

15.26 

15.59 

14.76 

12.90 

10.27 

7.24 

4.33 

.19 

8.66 

11.50 

13.83 

15.27 

15.59 

14.74 

12.87 

10.24 

7.21 

4.30 

.20 

8.69 

11.53 

13.85 

15.28 

15.59 

14.73 

12.85 

10.21 

7.18 

4.27 

.21 

8.72 

11,55 

13.87 

15.29 

15.59 

14.72 

12.83 

10.18 

7.15 

4.25 

.22 

8.75 

11.58 

13.89 

15.30 

15.58 

14.70 

12.80 

10.15 

7.12 

4.22 

.23 

8.78 

11.61 

13.91 

15.30 

15.58 

14.69 

12.78 

10.12 

7.09 

4.19 

.24 

8.81 

11.63 

13.93 

15.31 

15.57 

14.67 

12.75 

10.09 

7.06 

4.17 

.25 

8.84 

11.66 

13.95 

15.32 

15.57 

14.66 

12.73 

10.06 

7.03 

4.14 

.26 

8.87 

11.68 

13.96 

15.33 

15.57 

14.65 

12.71 

10.03 

7.00 

4.11 

.27 

8.90 

11.71 

13.98 

15.34 

15.56 

14.63 

12.68 

10.00 

6.97 

4.08 

.28 

8.93 

11.74 

14.00 

15.34 

15.56 

14.62 

12.66 

9.97 

6.94 

4.06 

.29 

8.96 

11.76 

14.02 

15.35 

15.55 

14.60 

12.63 

9.94 

6.91 

4.03 

.30 

8.99 

11.79 

14.04 

15.36 

15.55 

14.59 

12.61 

9.91 

6.88 

4.01 

.31 

9.03 

11.82 

14.06 

15.37 

15.55 

14.58 

12.59 

9.88 

6.85 

3.98 

.32 

9.05 

11.84 

14.08 

15.38 

15.54 

14.56 

12.56 

9.85 

6.82 

3.95 

.33 

9.08 

11.87 

14.09 

15.38 

15.54 

14.55 

12.54 

9.82 

6.79 

3.93 

.34 

9.11 

11.90 

14.11 

15.39 

15.53 

14.53 

12.51 

9.79 

6.76 

3.90 

.35 

9.14 

11.92 

14.13 

15.40 

15.53 

14.52 

12.49 

9.76 

6.73 

3.88 

.36 

9.16 

11.95 

14.15 

15.40 

15.52 

14.50 

12.46 

9.73 

6.70 

3.85 

.37 

9.19 

11.98 

14.17 

15.41 

15.52 

14.49 

12.44 

9.70 

6.67 

3.82 

.38 

9.22 

12.00 

14.18 

15.42 

15.51 

14.47 

12.41 

9.67 

6.64 

3.80 

.39 

9.25 

12.03 

14.20 

15.42 

15.51 

14.46 

12.39 

9.64 

6.61 

3.77 

.40 

9.28 

12.05 

14.22 

15.43 

15.50 

14.44 

12.36 

9.61 

6.58 

3.75 

.41 

9.31 

12.08 

14.24 

15,11 

15.50 

14.42 

12.34 

9.58 

6.55 

3.72 

.42 

9M 

12.10 

14.25 

15.44 

15.49 

14.41 

12.31 

9.55 

6.52 

3.69 

.43 

9.37 

12.  13 

14.27 

15.45 

15.49 

14.39 

12.29 

9.52 

6.49 

3.67 

.44 

9.40 

12.15 

14.28 

15.45 

15.48 

14.37 

12.26 

9.49 

6.46 

3.64 

.45 

9.43 

12.18 

14.30 

15.46 

15.48 

14.36 

12.24 

9.46 

6.43 

3.62 

.46 

9.45 

12.20 

14.32 

15.47 

15.47         14.34 

12.21 

9.43 

6.40 

3.59 

.47 

9,18 

12.23 

1  i.:u 

15.47 

15.47 

14.32 

12.19 

9.40 

6.37 

3.57 

.48 

9.51 

12.25 

14.35 

L&48 

15.46 

14.31 

12.16 

9.37 

6.34 

3.54 

.49 

!).:>! 

12.28 

14.36 

15.48 

15.46 

14.29 

12.14 

9.34 

6.31 

3.52 

.50 

9.57 

12.30 

14.38 

15.49 

15.45 

14.27 

12.11 

9.31 

6.28 

3.49- 

TABLE  XXVII.    ARGUMENT  22, 


Equation  =  8".l  —  0".4  sin.  (t  —  z)  -f  7".8  sin.  2  (t  —  z). 
Period,  32.128086  days. 


Days. 

dO 

31 

33 

33 

34 

25 

36 

37 

38 

39 

Days. 

.50 

9.57 

12.30 

14.38 

15.49 

15.45 

14.27 

12.11 

9.31 

6.28 

3.49 

.51 

9.60 

12.33 

14.40 

15.49 

15.44 

14.25 

12.08 

9.28 

6.25 

3.47 

.52 

9.63 

12.35 

14.41 

15.50 

15.44 

14.23 

12.06 

9.25 

6.22 

3.44 

.53 

9.66 

12.38 

14.43 

15.50 

15.43 

14.22 

12.03 

9.22 

6.19 

3.42 

.54 

9.69 

12.40 

14.44 

15.51 

15.43 

14.20 

12.01 

9.19 

6.16 

3.39 

.55 

9.72 

12.42 

14.46 

15.51 

15.42 

14.18 

11.98 

9.16 

6.13 

3.37 

.56 

9.76 

12.45 

14.47 

15.51 

15.41 

14.16 

11.95 

9.13 

6.10 

3.34 

.57 

9.79 

12.47 

14.49 

15.52 

15.41 

14.14 

11.93 

9.10 

6.07 

3.32 

.58 

9.82 

12.50 

14.50 

15.52 

15.40 

14.13 

11.90 

9.07 

6.04 

3.29 

.59 

9.85 

12.52 

14.52 

15.53 

15.40 

14.11 

11.88 

9.04 

6.01 

3.27 

.60 

9.86 

12.54 

14.53 

15.53 

15.39 

14.09 

11.85 

9.01 

5.98 

3.24 

.61 

9.89 

12.57 

14.55 

15.53 

15.38 

14.07 

11.82 

8.98 

5.95 

3.22 

.62 

9,92 

12.59 

14.56 

15.54 

15.37 

14.05 

11.80 

8.95 

5.92 

3.19 

.63 

9.95 

12.62 

14.58 

15.54 

15.37 

14.04 

11.77 

8.92 

5.89 

3.17 

.64 

9.98 

12.64 

14.59 

15.55 

15.36 

14.02 

11.75 

8.89 

5.86 

3.14 

.65 

10.01 

12.66 

14.61 

15.55 

15.35 

14.00 

11.72 

8.86 

5.83 

3.12 

.66 

10.03 

12.69 

14.62 

15.55 

15.34 

13.98 

11.69 

8.83 

5.80 

3.09 

.67 

10.06 

12.71 

14.64 

15.56 

15.33 

13.96 

11.67 

8.80 

5.77 

3.07 

.68 

10.09 

12.74 

14.65 

15.56 

15.33 

13.95 

.    11.64 

8.77 

5.74 

3.04 

.69 

10.12 

12.76 

14.67 

15.57 

15.32 

13.93 

11.62 

8.74 

5.71 

3.02 

,70 

10.15 

12.78 

14.68 

15.57 

15.31 

13.91 

11.50 

8.71 

5.68 

2.99 

.71 

10.18 

12.80 

14.6'J 

15.57 

15.30 

13.89 

11.56 

8.68 

5.65 

2.97 

.72 

10.21 

12.83 

14.71 

15.58 

15.29 

13.87 

11.54 

8.65 

5.62 

2.94 

.73 

10.24 

12.85 

14.72 

15.58 

15.28 

13.85 

11.51 

8.62 

5.60 

2.92 

.74 

10.27 

12.87 

14.74 

15.58 

15.27 

13.83 

11.48 

8.59 

5.57 

2.89 

.75 

10.30 

12.90 

14.75 

15.59 

15.27 

13.82 

11.46 

8.56 

5.54 

2.87 

.76 

10.32 

12.92 

14.76 

15.59 

15.26 

13.80 

11.43 

8.53 

5.51 

2.84 

.77 

10.35 

12.94 

14.78 

15.59 

15.25 

13.78 

11.40 

8.50 

5.48 

2.82 

.78 

10.38 

12.97 

14.79 

15.60 

15.24 

13.76 

11.38 

8.47 

5.45 

2.79 

.79 

10.41 

12.99 

14.81 

15.60 

15.23 

13.74 

11.35 

8.44 

5.42 

2.77 

.80 

10.44 

13.01 

14.82 

15.60 

15.22 

13.72 

11.32 

8.41 

5.39 

2.75 

.81 

10.47 

13.03 

14.83 

15.60 

15.21 

13.70 

11.29 

P.  38 

5.36 

2.72 

.82 

10.50 

13.05 

14.85 

15.60 

15.20 

13.68 

11.27 

8.35 

5.33 

2.70 

.83 

10.52 

13.08 

14.86 

15.60 

15.19 

13.66 

11.24 

8.32 

5.31 

2.68 

.84 

10.55 

13.10 

14.87 

15.60 

15.18 

13.64 

11.21 

8.29 

5.28 

2.65 

.85 

10.58 

13.1? 

14.89 

15.61 

15.17 

13.62 

11.19 

8.26 

5.25 

2.63 

.86 

10.61 

13.14 

14.90 

15.61 

15.16 

13.59 

11.16 

8.23 

5.22 

2.61 

.87 

10.64 

13.16 

14.91 

15.61 

15.15 

13.57 

11.13 

8.20 

5.19 

2.59 

.88 

10.66 

13.19 

14.93 

15.61 

15.14 

13.55 

11.11 

8.17 

5.16 

2.57 

.89 

10.69 

13.21 

14.94 

15.61 

15.13 

13.52 

11.08 

a  14 

5.13 

2.54 

.90 

10.72 

13.23 

14.95 

15.61 

15.12 

13.51 

11.05 

8.11 

5.10 

2.52 

.91 

10.75 

13.25 

14.96 

15.61 

15.11 

13.49 

11.02 

8.08 

5.07 

2.50 

.92 

10.78 

13.27 

14.97 

15.61 

15.10 

13.47 

11.00 

8.05 

5.04 

2.48 

.93 

10.80 

13.29 

14.99 

15.61 

15.08 

13.45 

10.97 

8.02 

5.02 

2.46 

.94 

10.83 

13.31 

15.00 

15.61 

15.07 

13.43 

10.94 

7.99 

*  4.99 

2.43 

.95 

10.86 

13.34 

15.01 

15.62 

15.06 

13.41 

10.92 

7.96 

4.96 

2.41 

.96 

10.88 

13.36 

15.02 

15.62 

15.05 

13.38 

10.89 

7.93 

4.93 

2.39 

.97 

10.91 

13.38 

15.03 

15.62 

15.04 

13.36 

10.86 

7.90 

4.90 

2.37 

.98 

10.94 

13.40 

15.05 

15.62 

15.02 

13.34 

10.84 

7.86 

4.87 

2.35 

.99 

10.96 

13.42 

15.06 

15.62 

15.01 

13.32 

10.81 

7.83 

4.85 

2.32 

1.00 

10.99 

13.44 

15.07 

15.62 

15.00 

13.30 

10.78 

7.80 

4.82 

2.30 

1 

197 


TABLE  XXVII. 

(Continued.) 
Period,  32.128086  days. 


TABLE  XXVIII.  ARG.  23. 

Equation  =  9".8  [1  —  sin.  (x  -j-  2y  —  2<)]. 
Period,  23.774626  days. 


Days.     3O 

31 

39 

Days.       O 

1 

9 

3 

4 

.»      Days. 

Da>». 

.00 

2.30 

0.61 

6.02 

Days. 
.00 

19.59 

19.33 

18.40 

16.88 

H.87 

fe.49 

Da  vs. 

1.00 

.01 

2.28 

0.60 

0.02 

.01 

19.59 

19.32 

18.39 

16.86 

14.85 

12.46 

.99 

.02 

2.26 

0.58 

0.02 

.02 

19.59 

19.32 

18.38 

16.84 

14.82 

12.44 

.98 

.03 

2.24 

0.57 

0.02 

.03 

19.60 

19.31 

18.36 

16.83 

14.80 

12.41 

.97 

.04 

2.21 

0.56 

0.02 

.04 

19.60 

19.31 

18.35 

16.81 

14.77 

12.39 

.96 

.05 

2.19 

0.54 

0.02 

.05 

19.60 

19.30 

18.34 

16.79 

14.75 

12.36 

.95 

.06 

2.17 

0.53 

0.02 

.06 

19.60 

19.29 

18.33 

16.77 

14.73 

12.34 

.94 

.07 

2.15 

0.52 

0.02 

.07 

19.60 

19.29 

18.32 

16.75 

14.71 

12.31 

.93 

.08 

2.13 

0.51 

0.02 

.08 

19.60 

19.28 

18.30 

16.74 

14.68 

12.29 

.92 

.09 

2.11 

0.50 

0.02 

.09 

19.60 

19.28 

18.29 

16.72 

14.66 

12.26 

.91 

.10 
.11 
.12 
.13 
.14 

2.09 
2.07 
2.05 
2.02 
2.00 

0.49 
0.48 
0.47 
0.46 
0.45 

0.02 
0.02    ' 
0.02 
0.03 
0.03 

.10 
.11 
.12 
.13 
.14 

19.60 
19.60 
19.60 
19.60 
19.60 

19.27 
19.26 
19.25 
19.25 
19.24 

18.28 
18.27 
18.25 
18.24 
18.22 

16.70 
16.68 
16.66 
16.65 
16.63 

14.64 
14.62 
14.59 
14.57 
14.54 

12.24 
12.21 
12.19 
12.16 
12.14 

.90 

.89 

.88 
.87 
.86 

.15 

19.60 

19.23 

18.21 

16.61 

14.52 

12.11 

.85 

.15 

1.98 

0.44 

0.03 

.16 

19.60 

19.22 

18.20 

16.59 

14.50 

12.09 

.84 

.16 

1.96 

0.43 

0.03 

.17 

19.60 

19.21 

18.18 

16.57 

14.48 

12.06 

.83 

.17 

1.94 

0.42 

0.03 

.18 

19.60 

19.21 

18.17 

16.55 

14.45 

12.04 

.82 

.18 

1.92 

0.41 

0.04 

.19 

19.60 

19.20 

18.15 

16.53 

14.43 

12.01 

.81 

.19 

1.90 

0.40 

0.04 

.20 

19.60 

19.19 

18.14 

16.51 

14.41 

11.99 

.80 

.20 

1.88 

0.39 

0.04 

.21 

19.60 

19.18 

18.13 

16.49 

14.39 

11.96 

.79 

.21 

1.86 

0.38 

0.05 

.22 

19.60 

19.17 

18.11 

16.47 

14.36 

11.94 

.78 

.22 

1.84 

0.38 

0.05 

.23 

19.59 

19.17 

18.10 

16.46 

14.34 

11.91 

.77 

.23 

1.83 

0.37 

0.05 

.24 

19.59 

19.16 

18.08 

16.44 

14.31 

11.89 

.76 

.24 

1.81 

0.36 

0.06 

.25 

19.59 

19.15 

18.07 

16.42 

14.29 

11.86 

.75 

.25 

1.79 

0.35 

0.06 

.26 

19.59 

19.14 

18.05 

16.40 

14.27 

11.84 

.74 

.26 

1.77 

0.34 

0.06 

.27 

19.59 

19.14 

18.04 

16.38 

14.25 

11.81 

.?:< 

.27 

1.7." 

0.33 

0.07 

.28 

19.59 

19.13 

18.02 

16.37 

14.22 

11.79 

.72 

.28 

1.73 

0.32 

0.07 

.29 

19.59 

19.13 

18.01 

16.35 

14.20 

11.76 

.71 

.29 

1.71 

*  0.32 

0.07 

.30 

19.59 

19.12 

17.99 

16.33 

14.18 

11.74 

.70 

.30 
.31 
.32 

.33 

1.69 
1.67 
1.65 
1.64 

0.31 
0.30 
0.29 
0.28 

0.08 
0.08 
0.08 
0.09 

.31 
-     .32 
.33 

.:(! 

19.59 
19.59 
19.58 
19.58 

19.11 
19.10 
19.10 
19.09 

17.98 
17.96 
17.95 
17.93 

16.31 
16.29 
16.27 
16.25 

14.16 
14.13 
14.11 
14.08 

11.71 
11.89 

11.66 
11.64 

.<i!t 
.68 
.<!7 
.66 

.34 

1.62 

0.28 

0.09 

.35 

19.58 

19.08 

17.92 

16.23 

14.06 

11.61 

.05 

.36 

19.58 

19.07 

17.9 

16.21 

14.04 

11.59 

.64 

.35 

1.60 

0.27 

0.10 

.37 

19.58 

19.06 

17.8! 

16.19 

14.02 

11.56 

.<;:» 

.36 

1.58 

0.26 

0.10 

.38 

19.57 

19.06 

17.88 

16.17 

18.9) 

11.51 

.62 

J7 

1.56 

0.25 

0.11 

.39 

19.67 

19.05 

17.86 

16.15 

13.97 

11.51 

.61 

.38 

1.54 

0.25 

0.11 

.39 

1.53 

0.24 

0.12 

.40 

19.57 

19.04 

17.85 

16.13 

13.95 

11.49 

.60 

.41 

19.57 

19.03 

17.84 

16.1 

13.9: 

11.46 

.59 

.40 

1.5 

0.23 

0.12 

.42 

19.57 

19.02 

17.82 

16.09 

13.90 

11.11 

.88 

.41 

1.49 

0.23 

0.13 

.43 

19.56 

19.02 

17.8 

16.07 

18.88 

11.41 

.57 

.42 

1.47 

0.22 

0.13 

.41 

19.56 

19.0 

17.79 

16.05 

13.85 

11.39 

.56 

.43 

1.45 

.(».--' 

0.14 

.44 

1.44 

o.y 

0.14 

.45 

19.56 

19.00 

17.78 

16.03 

13.83 

11.86 

.55 

.46 

19.5fi 

1N.99 

17.76 

16.0 

13.81 

11.33 

.54 

.45 

1.1- 

0.20 

o.i  :> 

.47 

19.56 

18.91 

17.75 

i  rot: 

i:t.7s 

11.31 

.;->:{ 

.46 

1.4f 

0.1! 

0.  1  5 

.48 

!!).:>. 

18.97 

17.73 

15.97 

13.76 

11.28 

..-.-3 

.  r 

1.3 

O.L 

0.16 

.49 

19.5. 

18.96 

17.72 

15.98 

18.7S 

11.26 

.51 

.48 

1.3- 

0.18 

o!l6 

.50 

19.55 

18.95 

17.70 

15.93 

13.71 

11.23 

.50 

.1! 
.50 

LB 

1.33 

0.1 
0.1 

0.17 
0.17 

Days.       93 

99 

91 

90 

19 

1  8      Days. 

198 


TABLE  XXVII. 

% 

(Continued.) 

< 
Period,  32.128086  days. 


TABLE  XXVIII.  ARG.  23. 

Equation  =  9".8  [1  —  sin.  (x  -j-  2y  —  2t)]. 
Period,  23.774626  days. 


Days.     3O 

31 

32 

Days.       O 

1 

2 

3 

4 

•5      Days. 

Duvs. 

II 

(1 

II 

Days. 

II 

(1 

/( 

II 

• 

H 

Davs. 

.50 

1.33 

0.17 

0.17 

.50 

19.55 

18.95 

17.70 

15.93 

13.71 

11.23 

.50 

.51 

1.32 

0.16 

0.18 

.51 

19.55 

18.94 

17.68 

15.91 

13.69 

11.20 

.49 

.52 

1.30 

0.15 

0.19 

.52 

19.55 

18.93 

17.67 

15.89 

13.66 

11.18 

.48 

.53 

1.28 

0.15 

0.19 

.53 

19.54 

18.92 

17.65 

15.87 

13.64 

11.15 

.47 

.54 

1.27 

0.14 

0.20 

.54 

19.54 

18.91 

17.64 

15.85 

13.61 

11.13 

.46 

.55 

1.25 

0.13 

0.20 

.55 

19.54 

18.90 

17.62 

15.83 

13.59 

11.10 

.45 

.56 

1.23 

0.13 

0.21 

.56 

19.54 

18.89 

17.60 

15.81 

13.57 

11.08 

.44 

.57 

1.21 

0.12 

0.22 

.57 

19.53 

18.88 

17.59 

15.79 

13.54 

11.05 

.43 

.58 

1.20 

0.12 

0.22 

.58 

19.53 

18.88 

17.57 

15.77 

13.52 

11.03 

.42 

.59 

1.18 

0.11 

0.23 

.59 

19.52 

18.87 

17.5G 

15.75 

13.49 

11.00 

.41 

.60 
.61 
.62 
.63 
.64 

1.17 
1.15 
1.13 
1.12 
1.10 

0.11 
0.10 
0.10 
0.09 
0.09 

0.24 
0.24 
0.25 
0.26 
0.26 

.60 
.61 
.62 
.63 
.64 

19.52 
19.52 
19.51 
19.51 
19.50 

18.86 

18.85 
18.84 
18.83 
18.82 

17.54 
17.52 

17.51 
17.49 

17.48 

15.73 
15.71 
15.69 
15.67 
15.65 

13.47 
13.45 
13.42 
13.40 
13.37 

10.98 
10.95 
10.93 
10.90 
10.88 

.40 
.39 
.38 
.37 
.36 

.65 

19.50 

18.81 

17.46 

15.63 

13.35 

10.85 

.35 

.65 

1.09 

0.08 

0.27 

.66 

19.50 

18.80 

17.45 

15.61 

13.33 

10.82 

.34 

.66 

1.07 

0.08 

0.28 

.67 

19.49 

18.79 

17.43 

15.59 

13.30 

10.80 

.33 

.67 

1.06 

0.08 

0.29 

.68 

19.49 

18.78 

17.42 

15.56 

13.28 

10.77 

.32 

.68 

1.04 

0.07 

0.30 

.69 

19.48 

18.77 

17.40 

15.54 

13.25 

10.75 

.31 

.69 

1.03 

0.07 

0.30 

.70 

19.48 

18.76 

17.39 

15.52 

13.23 

10.72 

.30 

.70 

1.01 

0.07 

0.31 

.71 

19.47 

18.75 

17.37 

15.50 

13.21 

10.69 

.29 

.71 

1.00 

0.06 

0.32 

.72 

19.47 

18.74 

17.36 

15.48 

13.18 

10.67 

.28 

.72 

0.98 

0.06 

0.33 

.73 

19.46 

18.72 

17.34 

15.46 

13.16 

10.64 

.27 

.73 

0.97 

0.06 

0.34 

.74 

19.46 

18.71 

17.33 

15.44 

13.13 

10.62 

.26 

.74 

0.95 

0.05 

0.34 

.75 

19.45 

18.70 

17.31 

15.42 

13.11 

10.59 

.25 

.75 

0.94 

0.05 

0.35 

.76 

19.45 

18.69 

17.29 

15.40 

ir?.0!) 

10.57 

.24 

.76 

0.92 

0.05 

0.36 

.77 

19.44 

1S.68 

17.27 

15.38 

ra.pa 

10.51 

.23 

.77 

0.91 

0.05 

0.37 

.78 

19.44 

18.66 

17.26 

15.35 

13.04 

10.52 

.22 

.78 

0.89 

0.04 

0.38 

.79 

19.43 

18.65 

17.24 

15.33 

13.01 

10.49 

.21 

.79 

0.88 

0.04 

0.39 

0 

.80 

19.43 

18.64 

17.22 

15.31 

12.99 

10.47 

.20 

.80 
.81 
.82 
.83 

0.87 
0.85 
0.84 
0.83 

0.04 
0.04 
0.04 
0.03 

0.40 
0,11 
0.42 
0.43 

.81 

.82 
.83 
.84 

19.42 
19.42 
li).4i 
19.41 

18.63 
18.62 
18.61 
18.60 

17.20 
17.19 
17.17 
17.16 

15.29 
15.27 
15.2i 
15.22 

12.97 
18.9! 
12.92 
12.89 

10.44 
10.42 
10.39 
10.37 

.19 
.18 
.17 
.16 

.84 

0.81 

0.03 

0.44 

.85 

19.40 

18.59 

17.14 

15.20 

12.87 

10.34 

.15 

.86 

19.40 

18.58 

17.12 

15.18 

12.84 

10.31 

.14 

.85 

0.80 

0.03 

0.45 

.87 

19.39 

18.57 

17.11 

15.16 

12.82 

10.29 

.13 

.86 

0.79 

0.03 

0.46 

.88 

19.39 

18.55 

17.09 

15.13 

12.79 

10.26 

.12 

.87 

0.77 

0.03 

0.47 

.89 

19.38 

18.54 

17.08 

15.11 

12.77 

10.24 

.11 

.88 

0.76 

0.03 

0.48 

.89 

0.75 

0.03 

0.49 

.90 

19.38 

18.53 

17.06 

15.09 

12.74 

10.21 

.10 

.91 

19.37 

18.52 

17.04 

15.07 

12.71 

10.18 

.09 

.90 

0.73 

0.03 

0.50 

.92 

19.37 

18.50 

17.02 

15.05 

12.69 

10.16 

.08 

.91 

0.72 

0.02 

0.51 

.93 

19.36 

18.49 

17.01 

15.02 

12.66 

10.13 

.07 

.92 

0.71 

0.02 

0.53 

.94 

19.36 

18.47 

16.99 

15.00 

12.64 

10.11 

.06 

.93 

0.70 

0.02 

0.54 

.94 

0.68 

0.02 

0.55 

.95 

19.35 

18.46 

16.97 

14.98 

12.61 

10.08 

.05 

.96 

19.35 

18.45 

16.95 

14.96 

12.59 

10.05 

.04 

.95 

0.67 

0.02 

0.56 

.97 

19.34 

18.44 

16.93 

14.94 

12.56 

10.03 

.03 

.96 

0.66 

0.02 

0.57 

.98 

19.34 

18.42 

16.92 

14.91 

12.54 

10.00 

.02 

.97 

0.65 

0.02 

0.58 

.99 

19.33 

18.41 

16.90 

14.89 

12.51 

9.98 

.01 

.98 

0.63 

0.02 

0.59 

1.00 

19.33 

18.40 

16.88 

14.87 

12.49 

9.95 

.00 

.99 

0.62 

0.02 

0.61 

1.00 

0.61 

0.02 

0.62 

Days.       23 

22 

21 

20 

19 

1  8      Days. 

199 


TABLE  XXVIII. 

(Continued.) 
Period,  23.774626  days. 


TABLE  XXIX.    ARG.  24. 

Equation  =  7".3  [1  —  sin.  (2x  -+-  «)]. 
Period,  13.276498  days. 


Days.      6 

7 

8 

9 

10 

11 

0 

1 

2       Days. 

EM* 

.00 

9.95 

7.39 

4.98 

2.92 

1.33 

0.35 

14.50 

14.27 

/( 

12.51 

Days. 

i.bo 

.01 

9.92 

7.36 

4.96 

2.90 

1.32 

0.34 

14.50 

14.26 

12.49 

.99 

.02 

9.90 

7.31 

4.94 

2.88 

1.31 

0.33 

14.5 

14.25 

12.46 

.98 

.03 

9.87 

7.31 

4.91 

2.87 

1.29 

0.33 

14.52 

14.24 

12.44 

.97 

.04 

9.85 

7.29 

4.89 

2.85 

1.28 

0.32 

14.52 

14.23 

12.41 

.96 

.05 

9.82 

7.26 

4.87 

2.83 

1.27 

0.31 

14.53 

14.22 

12.39 

.95 

.06 

9.79 

7.23 

4.85 

2.81 

1.26 

0.30 

14.53 

14.20 

12.36 

.94 

.07 

9.77 

7.21 

4.82 

2.79 

1.25 

0.30 

14.53 

14.19 

12.33 

.93 

.08 

9.74 

7.18 

4.80 

2.78 

1.23 

0.29 

14.5 

1418 

12.31 

.92 

.09 

9.72 

7.16 

4.77 

2.76 

1.22 

0.29 

14.54 

14.17 

12.28 

.91 

.10 

9.69 

7.13 

4.75 

2.74 

1.21 

0.28 

14.55 

14.16 

12.26 

.90 

.11 

9.66 

7.11 

4.73 

2.72 

1.20 

0.27 

14.55 

14.15 

12.23 

.89 

.12 

9.64 

7.08 

4.71 

2.70 

1.19 

0.27 

14.56 

14.14 

12.21 

.88 

.13 

9.61 

7.06 

4.68 

2.69 

1.17 

0.26 

14.56 

14.12 

12.18 

.87 

.14 

9.59 

7.03 

4.66 

2.67 

1.16 

0.26 

14.56 

14.11 

12.16 

.86 

.15 

9.56 

7.01 

4.64 

2.65 

1.15 

0.25 

14.57 

14.10 

12.13 

.85 

.16 

9.53 

6.98 

4.62 

2.63 

1.14 

0.24 

14.57 

14.08 

12.10 

.84 

.17 

9.51 

6.96 

4.60 

2.61 

1.12 

0.24 

14.57 

14.07 

12.08 

.83 

.18 

9.48 

6.93 

4.57 

2.60 

1.11 

0.23 

14.58 

14.05 

12.05 

.82 

.19 

9.46 

6.91 

4.55 

2.58 

1.09 

0.23 

14.58 

14.04 

12.03 

.81 

.20 

9.43 

6.88 

4.53 

2.56 

1.08 

0.22 

14.58 

14.03 

12.00 

.80 

.21 

9.40 

6.86 

4.51 

2.54 

1.07 

0.21 

14.58 

14.02 

11.97 

.7!) 

.22 

9.38 

6.83 

4.49 

2.53 

1.06 

0.21 

14.58 

14.00 

11.94 

.78 

.23 

9.35 

6.81 

4.46 

2.51 

1.04 

0.20 

14.59 

13.99 

1LB2 

.77 

.24 

9.33 

6.78 

4.44 

2.50 

1.03 

0.20 

14.59 

13.97 

11.89 

..76 

.25 

9.30 

6.76 

4.42 

2.48 

1.02 

0.19 

14.59 

13.96 

11.87 

.75 

.26 

927 

6.73 

4.40 

2.46 

1.01 

0.19 

14.59 

13.95 

11.84 

.74 

.27 

9.25 

6.71 

4.38 

2.45 

1.00 

0.18 

14.60 

13.93 

11.  SI 

.73 

.28 

9.22 

6.68 

4.36 

2.43 

0.99 

0.18 

14.60 

13.92 

11.79 

.72 

.29 

9.20 

6.66 

4.34 

2.42 

0.98 

0.17 

14.60 

13.90 

11.76 

.71 

.30 

9.17 

6.63 

4.32 

2.40 

0.97 

0.17 

14.60 

13.89 

11.73 

.70 

.31 

9.15 

6.61 

4.30 

2.38 

0.96 

0.17 

14.60 

13.88 

11.70 

.69 

.:« 

9.12 

<6.58 

4.28 

2.36 

0.95 

0.16 

14.60 

13.86 

11.67 

.68 

.33 

9.10 

6.56 

4.25 

2.35 

0.93 

0.16 

14.60 

13.85 

11.65 

.67 

.34 

9.07 

6.53 

4.23 

2.33 

0.92 

0.15 

14.60 

13.83 

11.62 

.66 

.35 

9.05 

6.51 

4.21 

2.31 

0.91 

0.15 

14.60 

13.82 

11.60 

.65 

46 

9.02 

6.49 

4.19 

2.29 

0.90 

0.15 

14.60 

13.80 

11.57 

.64 

.37 

9.00 

6.46 

4.17 

2.28 

0.89 

0.14 

14.60 

13.78 

11.54 

.63 

.:(s 

8.97 

6.44 

4.15 

2.26 

0.87 

0.14 

14.60 

13.77 

11.52 

.62 

.39 

8.95 

6.41 

4.13 

2.25 

0.86 

0.13 

14.60 

13.75 

11.49 

.61 

.40 

8.92 

6.39 

4.11 

2.23 

0.85 

0.13 

14.00 

13.74 

11.46 

.60 

.41 

N.N!) 

6.37 

4.09 

2.21 

0.84 

0.12 

14.60 

13.72 

1  1  .43 

.59 

.42 

8.87 

6.34 

4.07 

2.20 

0.83 

0.12 

14.60 

13.70 

11.10 

.58 

.43 

8.84 

6.32 

4.04 

2.18 

0.82 

0.11 

14.80 

13.(i9 

11.37 

.57 

.44 

8.82 

6.29 

4.02 

2.17 

0.81 

0.11 

14.60 

13.67 

11.31 

.56 

.1.-. 

8.79 

6.27 

4.00 

2.15 

0.80 

0.10 

1  1.00 

13.66 

lisa 

.55 

.46 

8.76 

6.25 

3.98 

2.13 

0.79 

0.10 

14.69 

18.64 

1  1.29 

.54 

.47 

8.74 

ti.-J-.' 

B.96 

2.11 

0.78 

0.09 

11.5!) 

l«.6S 

11.26 

.63 

.48 

8.71 

6.20 

8.94 

2.10 

0.77 

0.09 

11.59 

13.61 

11.23 

.52 

.lit 

8.69 

1.17 

8.93 

2.08 

0.76 

0.08 

1  1.5!) 

13.59 

11.20 

.51 

.50 

166 

6.15 

3.90 

2.06 

0.75 

0.08 

14.59 

1  3.57 

11.17 

.50 

Days.     IT 

10 

13 

14 

13 

12 

1:1 

13 

1  1      Days. 

200 


TABLE  XXVIII. 

(Continued.) 
Period,  23.774626  days. 


TABLE  XXIX.  ARG.  24. 

Equation"==  7".3  [1  —  sin.  (2x  -[-  z)]. 
Period,  13.276498  days. 


Days.      6 

.  * 

8 

9 

1O 

11 

o 

1 

2       Days. 

Iliivs. 

.50 

8.66 

6.15 

3.90 

2.06 

II 

0.75 

0.08 

14.59 

13.57 

11.  17 

Days. 

.50 

.51 

.8.63 

6.13 

3.88 

2.04 

0.74 

0.08 

14.59 

13.55 

11.14 

.49 

.52 

8.61 

6.10 

3.86 

2.03 

0.73 

0.07 

14.59 

13.53 

11.11 

.48 

.53 

8.S81 

6.07 

3.83 

2.01 

0.72 

0.07 

14.58 

13.51 

11.08 

.47 

.54 

8.56 

6.05 

3.81 

2.00 

0.71 

0.06 

14.58 

13.49 

11.05 

.46 

.55 

8.53 

6.03 

3.79 

1.98 

0.70 

0.06 

14.58 

13.48 

11.02 

.45 

.56 

8.50 

6.01 

3.77 

1.97 

0.69 

0.06 

14.57 

13.46 

10.99 

.44 

.57 

8.48 

5.98 

3.75 

1.95 

0.68 

0.06 

14.57 

13.44 

10.96 

.43 

.58 

8.45 

5.96 

3.73 

1.94 

0.68 

0.05 

14.57 

13.42 

10.93 

.42 

.59 

8.43 

5.93 

3.71 

1.92 

0.67 

0.05 

14.56 

13.40 

10.90 

.41 

.60 

8.40 

5.91 

3.69 

1.91 

0.66 

0.05 

14.56 

13.38 

10.87 

.40 

.61 

8.37 

5.89 

3.67 

1.89 

0.65 

0.05 

14.56 

13.36 

10.84 

.39 

.62 

8.35 

5.86 

3.65 

1.88 

0.64 

0.05 

14.55 

13.34 

10.81 

.38 

.63 

8.32 

5.84 

3.63 

1.86 

0.64 

0.04 

14.55 

13.32 

10.78 

.37 

.64 

8.30 

5.81 

3.61 

1.85 

0.63 

0.04 

14.54 

13.30 

10.75 

.36 

.65 

8.27 

5.79 

3.59 

1.83 

0.62 

0.04 

14.54 

13.28 

10.72 

.35 

.66 

824 

5.77 

3.57 

1.82 

0.61 

0.04 

14.53 

13.26 

10.69 

.34 

.67 

8.22 

5.74 

3.55 

1.80 

0.60 

0.04 

14.53 

13.24 

10.66 

.33 

.68 

8.19 

5.72 

3.53 

1.79 

0.59 

0.03 

14.52 

13.22 

10.63 

.32 

.69 

8.17 

5.69 

3.51 

1.77 

0.58 

0.03 

14.52 

13.20 

10.60 

.31 

.70 

8.14 

5.67 

3.49 

1.76 

0.57 

0.03 

14.51 

13.18 

10.57 

.30 

.71 

8.12 

5.65 

3.47 

1.75 

0.56 

0.03 

14.50 

13.16 

10.54 

.29 

.72 

8.09 

5.63 

3.45 

1.73 

0.55 

0.03 

14.50 

13.14 

10.51 

.28 

.73 

8.07 

5.60 

3.43 

1.72 

0.55 

0.02 

14.49 

13.12 

10.48 

.27 

.74 

8.04 

5.58 

3.41 

1.70 

0.54 

0.02 

14.48 

13.10 

10.45 

.26 

.75 

8.02 

5.56 

3.39 

1.69 

0.53 

0.02 

14.48 

13.08 

10.42 

.25 

.76 

7.99 

5.54 

3.37 

1.68 

0.52 

0.02 

14.47 

13.05 

10.38 

.24 

.77 

7.97 

5.51 

3.35 

1.66 

0.51 

0.02 

14.46 

13.03 

10.35 

.23 

.78 

7.94 

549 

3.33 

1.65 

0.51 

0.01 

14.46 

13.01 

10.32 

.22 

.79 

7.92 

5.46 

3.31 

1.63 

0.50 

0.01 

14.45 

12.99 

10.29 

.21 

.80 

7.89 

5.44 

3.29 

1.62 

0.49 

0.01 

14.44 

12.97 

10.26 

.20 

.81 

7.87 

5.42 

3.27 

1.60 

0.48 

0.01 

14.43 

12.95 

10.23 

.19 

.82 

7.84 

5.40 

3.25 

1.59 

0.47 

0.01 

14.42 

12.93 

10.20 

.18 

.83 

7.82 

5.37 

3.24 

1.57 

0.47 

0.01 

14.41 

12.91 

10.17 

.17 

.84 

7.79 

5.35 

3.22 

1.56 

0.46 

0.00 

14.41 

12.88 

10.13 

.16 

.85 

7.77 

5.33 

3.20 

1.54 

0.45 

0.00 

14.40 

12.86 

10.10 

.15 

.86 

7.74 

5.31 

3.18 

1.53 

0.44 

0.00 

14.39 

12.84 

10.07 

.14 

.87 

7.72 

5.28 

3.16 

1.51 

0.44 

0.00 

14.39 

12.81 

10.03 

.13 

.88 

7.69 

5.26 

3.15 

1.50 

0.43 

0.00 

14.38 

12.79 

10.00 

.12 

.89 

7.67 

5.23 

3.13 

1.48 

0.43 

0.00 

14.37 

12.77 

9.97 

.11 

.90 

7.64 

5.21 

3.11 

1.47 

0.42 

0.00 

14.36 

12.75 

9.94 

.10 

.91 

7.62 

5.19 

3.09 

1.46 

0.41 

0.00 

14.35 

12.73 

9.91 

.09 

.92 

7.59 

5.17 

3.07 

1.44 

0.40 

0.00 

14.34 

12.70 

9.88 

.08 

.93 

7.57 

5.14 

3.05 

1.43 

0.40 

0.00 

14.33 

12.68 

9.84 

.07 

.94 

7.54 

5.12 

3.03 

1.41 

0.39 

0.00 

14.32 

12.65 

9.81 

.06 

.95 

7.52 

5.10 

3.01 

1.40 

0.38 

0.00 

14.32 

12.63 

9.78 

.05 

.96 

7.49 

5.08 

2.99 

1.39 

0.37 

0.00 

14.31 

12.61 

9.74 

.04 

.97 

7.47 

5.05 

2.97 

1.37 

0.37 

0.00 

14.30 

12.58 

9.71 

.03 

.98 

7.44 

5.03 

2.96 

1.36 

0.36 

0.00 

14.29 

12.56 

9.67 

.02 

.99 

7.42 

5.00 

2.94 

1.34 

0.36 

0.00 

14.28 

12.53 

9.64 

.01 

1.00 

7.39 

4.98 

2.92 

1.33 

0.35 

0.00 

14.27 

12.51 

9.61 

.00 

Days.     17 

16 

IS 

14 

13 

13 

13 

1*2 

1  1      Days. 

201 


TABLE  XXIX. 

( Continued.) 
Period,  13.276498  days. 


TABLE  XXX.  ARG.  25. 

Equation  =  2".9  [1  —  sin.  (2i  +  *  -j-  *)]. 
Period,  9.36717  days. 


Days.        3 

4 

5 

6 

0 

1 

2 

3 

4     Days. 

En 

.00 

9.61 

6.20 

3.03 

0.80 

5.73 

5.50 

4.14 

• 

2.24 

0.63 

Daya. 

1.00 

.01 

9.58 

6.17 

3.00 

0.78 

5.74 

5.49 

4.12 

2.22 

0.62 

.99 

.02 

9.55 

6.13 

2.97 

0.77 

5.74 

5.48 

4.11 

2.20 

0.61 

.98 

.03 

9.51 

6.10 

2.95 

0.75 

5.75 

5.48 

4.09 

2.18 

0.59 

.97 

.04 

9.48 

6.06 

2.92 

0.74 

5.75 

5.47 

4.07 

2.16 

0.58 

.96 

.05 

9.45 

6.03 

2.89 

0.72 

5.76 

5.46 

4.05 

2.14 

0.57 

.95 

.06 

9.41 

6.00 

2.87 

0.71 

5.76 

5.45 

4.03 

2.13 

0.56 

.94 

.07 

9.38 

5.96 

2.84 

0.69 

5.76 

5.44 

4.02 

2.11 

0.55 

.93 

.08 

9.34 

5.93 

2.82 

0.68 

5.77 

5.43 

4.00 

2.09 

0.53 

.92 

.09 

9.31 

5.89 

2.79 

0.66 

5.77 

5.42 

3.98 

2.07 

0.52 

.91 

.10 

9.28 

5.86 

2.76 

0.65 

5.77 

5.41 

3.96 

2.05 

0.51 

.90 

.11 

9.25 

5.83 

2.73 

0.64 

5.77 

5.40 

3.94 

2.03 

0.50 

.89 

.12 

9.22 

5.79 

2.70 

0.62 

5.78 

5.39 

393 

2.01 

0.49 

.88 

.13 

9.18 

5.76 

2.68 

0.61 

5.78 

5.38 

3.91 

1.99 

0.48 

.87 

.14 

9.15 

5.72 

2.65 

0.59 

5.78 

5.37 

3.89 

1.98 

0.47 

.86 

.15 

9.12 

5.69 

2.62 

0.57 

5.78 

5.36 

3.87 

1.96 

0.46 

.85 

.16 

9.08 

5.66 

2.60 

0.56 

5.79 

5.35 

3.85 

1.94 

0.44 

.84 

.17 

9.05 

5.62 

2.57 

0.54 

5.79 

5.33 

3.84 

1.92 

0.43 

.83 

.18 

9.01 

5.59 

2.55 

0.53 

5.79 

5.32 

3.82 

1.90 

0.42 

.82 

.19 

8.98 

5.55 

2.52 

0.52 

5.79 

5.31 

3.80 

1.89 

0.41 

.81 

.20 

8.95 

5.52 

2.49 

0.51 

5.79 

5.30 

3.78 

1.87 

0.40 

.80 

.21 

8.92 

5.49 

2.46 

0.50 

5.79 

5.29 

3.76 

1.85 

0.39 

.79 

.22 

8.88 

5.46 

2.44 

0.49 

5.79 

5.28 

3.74 

1.83 

0.38 

.78 

.23 

8.85 

5.42 

2.41 

0.47 

5.80 

5.27 

3.72 

1.82 

0.37 

.77 

£4 

8.81 

5.39 

2.39 

0.46 

5.80 

5.26 

3.70 

1.80 

0.36 

.76 

.25 

8.78 

5.35 

2.36 

0.45 

5.80 

5.25 

3.68 

1.78 

0.35 

.75 

.26 

8.75 

5.32 

2.33 

0.44 

5.80 

5.23 

3.67 

1.76 

0.35 

.74 

.27 

8.71 

5.29 

2.31 

0.42 

5.80 

5.22 

3.65 

1.74 

0.34 

.73 

.28 

8.68 

5.25 

2.28 

0.41 

5.80 

5.21 

3.63 

1.73 

0.33 

.72 

.29 

8.64 

5.22 

2.26 

0.40 

5.80 

5.20 

3.61 

1.71 

0.32 

.71 

.30 

8.61 

5.19 

2.23 

0.39 

5.80 

5.19 

3.59 

1.69 

0.31 

.70 

.31 

8.58 

5.16 

2.21 

0.38 

5.80 

5.18 

3.57 

1.67 

0.30 

.69 

.32 

8.54 

5.13 

2.18 

0.37 

5.80 

5.17 

3.55 

1.65 

0.29 

.68 

.33 

8.51 

5.09 

2.16 

0.36 

5.80 

5.15 

3.53 

1.64 

0.28 

.67 

.34 

8.47 

5.06 

2.13 

0.35 

5.80 

5.14 

3.51 

1.62 

0.28 

.66 

.35 

8.44 

5.02 

2.11 

0.34 

5.80 

5.13 

3.49 

1.60 

0.27 

.65 

.36 

8.41 

4.99 

2.09 

0.33 

5.80 

5.12 

3.48 

1.58 

0.26 

.64 

.37 

8.37 

4.96 

2.06 

0.32 

5.80 

5.11 

3.46 

1.56 

0.25 

.63 

.38 

8.34 

4.92 

2.04 

0.31 

5.79 

5.09 

3.44 

1.55 

0.24 

.62 

.39 

8.30 

4.89 

2.01 

0.30 

5.79 

5.08 

3.42 

1.53 

0.24 

.61 

.40 

8.27 

4.86 

1.99 

0.29 

5.79 

5.07 

3.40 

1.51 

0.23 

.60 

.41 

8.24 

4.83 

1.97 

0.28 

5.79 

5.06 

3.38 

1.49 

0.22 

.59 

.42 

8.20 

4.80 

1.95 

0.27 

5.79 

5.04 

3.36 

1.47 

0.21 

.58 

.43 

8.17 

4.76 

I.M 

0.26 

5.78 

5.03 

3.34 

1.46 

0.21 

.57 

.44 

8.13 

4.73 

1.90 

0.25 

5.78 

5.01 

3.32 

1.44 

0.20 

.56 

.45 

8.10 

4.69 

1.87 

0.24 

5.78 

5.00 

3.30 

1.42 

0.19 

.55 

.46 

8.07 

4.66 

1.85 

0.24 

5.78 

4.99 

3.28 

1.41 

0.19 

.54 

.47 

8.03 

4.63 

1.82 

0.23 

5.78 

4.97 

3.26 

1.39 

0.18 

.53 

.48 

8.00 

4.59 

1.80 

0.22 

5.77 

4.96 

3.2  1 

1.36 

0.17 

.52 

.49 

7.96 

4.56 

1.78 

0.21 

5.77 

4.94 

3.22 

1.36 

0.17 

.51 

.50 

7.93 

4.53 

1.76 

0.20 

5.77 

4.93 

3.20 

1.34 

0.16 

.50 

Days.       1O 

9 

8 

7 

9 

8 

7 

6 

S        Days. 

TABLE  XXIX. 

{Continued.) 
Period,  13.276498  days. 


TABLE  XXX.  ARG.  25. 

Equation  =  2".9  [1  —  sin.  (2<  -f  z  +  *)]. 
Period,  9.36717  days. 


Days.        3 

4 

if 

6 

o 

1 

3 

3 

4     Days. 

ll.-ivs 

II 

II 

II 

II 

II 

Days. 

.50 

7.93 

4.53 

1.76 

0.20 

5.77 

4.93 

.3.20 

1.34 

0.16 

.50 

.51 

7.90 

4.50 

1.74 

0.19 

5.77 

4.92 

3.18 

1.32 

0.15 

.49 

.52 

7.86 

4.47 

1.72 

0.18 

5.76 

4.90 

3.16 

1.31 

0.15 

.48 

.53 

7.83 

4.44 

1.70 

0.18 

5.76 

4.89 

3.14 

1.29 

0.14 

.47 

.54 

7.79 

4.40 

1.67 

0.17 

5.76 

4.87 

3.12 

1.28 

0.14 

.46 

.55 

7.76 

4.37 

1.65 

0.16 

5.75 

4.86 

3.10 

1.26 

0.13 

.45 

.56 

7.73 

4.34 

1.63 

0.16 

5.75 

4.85 

3.09 

1.25 

0.12 

.44 

.57 

7.69 

4.30 

1.60 

0.15 

5.75 

4.83 

3.07 

1.23 

0.12 

.43 

.58 

7.66 

4.27 

1.58 

0.14 

5.74 

4.82 

3.05 

1.22 

0.11 

.42 

.59 

7.62 

4.24 

1.56 

0.14 

5.74 

4.80 

3.03 

1.20 

0.11 

.41 

.60 

7.59 

4.21 

1.54 

0.13 

5.74 

4.79 

3.01 

1.19 

0.10 

.40 

.61 

7.56 

4.18 

1.52 

0.12 

5.73 

4.77 

2.99 

1.17 

0.10 

.39 

.62 

7.52 

4.15 

1.50 

0.12 

5.73 

4.76 

2.97 

1.16 

0.09 

.38 

.63 

7.49 

4.12 

1.48 

0.11 

5.73 

4.74 

2.95 

1.14 

0.09 

.37 

.64 

7.45 

4.09 

1.46 

0.11 

5.73 

4.73 

2.93 

1.13 

0.08 

.36 

.65 

7.42 

4.06 

1.44 

0.10 

5.72 

4.71 

2.91 

1.11 

0.08 

.35 

.66 

7.38 

4.03 

1.42 

0.09 

5.72 

4.70 

2.90 

1.10 

0.08 

.34 

.67 

7.34 

4.00 

1.40 

0.09 

5.71 

4.68 

2.88 

1.08 

0.07 

.33 

.68 

7.31 

3.97 

1.38 

0.08 

5.71 

4.67 

2.86 

1.07 

0.07 

.32 

.69 

7.27 

3.94 

1.36 

0.08 

5.70 

4.65 

2.84 

1.05 

0.06 

.31 

.70 

7.24 

3.91 

1.34 

0.07 

5.70 

4.64 

2.82 

1.04 

0.06 

.30 

.71 

7.21 

3.88 

1.32 

0.07 

5.69 

4.62 

2.80 

1.02 

0.06 

.29 

.72 

7.17 

3.85 

1.30 

0.06 

5.69 

4.61 

2.78 

1.01 

0.05 

.28 

.73 

7.14 

3.82 

1.28 

0.06 

5.68 

4.59 

2.76 

0.99 

0.05 

.27 

.74 

7.10 

3.79 

1.26 

0.05 

5.68 

4.58 

2.74 

0.98 

0.05 

.26 

.75 

7.07 

3.76 

1.24 

0.05 

5.67 

4.56 

2.72 

0.96 

0.04 

.25 

.76 

7.03 

3.73 

1.23 

0.05 

5.67 

4.54 

2.71 

0.95 

0.04 

.24 

.77 

6.99 

3.70 

1.21 

0.04 

5.66 

4.53 

2.69 

0.93 

0.04 

.23 

.78 

6.96 

3.67 

1.19 

0.04 

5.66 

4.51 

2.67 

0.92 

0.04 

.22 

.79 

6.92 

3.64 

1.17 

0.03 

5.65 

4.50 

2.65 

0.90 

0.03 

.21 

.80 

6.89 

3.61 

1.15 

0.03 

5.65 

4.48 

2.63 

0.89 

0.03 

.20 

.81 

6.86 

3.58 

1.13 

0.03 

5.64 

4.46 

2.61 

0.88 

0.03 

.19 

.82 

6.82 

3.55 

1.11 

0.02 

5.63 

4.45 

2.59 

0.86 

0.03 

.18 

.83 

679 

3.52 

1.09 

0.02 

5.63 

4.43 

2.57 

0.85 

0.02 

.17 

.84 

6.75 

3.49 

1.08 

0.02 

5.62 

4.41 

2.55 

0.83 

0.02 

.16 

.85 

6.72 

3.46 

1.06 

0.02 

5.61 

4.40 

253 

0.82 

0.02 

.15 

.86 

6.68 

3.43 

1.04 

0.01 

5.61 

4.38 

2.51 

0.81 

0.02 

.14 

.87 

6.64 

3.40 

1.03 

0.01 

5.60 

4.36 

2.49 

0.79 

0.02 

.13 

.88 

6.61 

3.37 

1.01 

0.01 

5.59 

4.35 

2.47 

0.78 

0.01 

.12 

.89 

6.57 

3.34 

0.99 

0.01 

5.59 

4.33 

2.45 

0.76 

0.01 

.11 

.90 

6.54 

3.31 

0.97 

0.01 

5.58 

4.31 

2.43 

0.75 

0.01 

.10 

.91 

6.51 

3.28 

0.95 

0.01 

5.57 

4.29 

2.41 

0.74 

0.01 

.09 

.92 

6.47 

3.25 

0.93 

0.01 

5.56 

4.28 

2.39 

0.73 

0.01 

.08 

.93 

6.44 

3.22 

0.92 

0.00 

5.56 

4.26 

2.37 

0.71 

0.01 

.07 

.94 

6.40 

3.20 

0.90 

0.00 

5.55 

4.24 

2.35 

0.70 

0.00 

.06 

.95 

6.37 

3.17 

0.88 

0.00 

5.54 

4.23 

2.33 

0.69 

0.00 

.05 

.96 

6.34 

3.14 

0.87 

0.00 

5.53 

4.21 

2.32 

0.68 

0.00 

.04 

.97 

6.30 

3.12 

0.85 

0.00 

5.52 

4.19 

2.30 

0.67 

0.00 

.03 

.98 

6.27 

3.09 

0.83 

0.00 

5.52 

4.18 

2.28 

0.65 

0.00 

.02 

.99 

6.23 

3.06 

0.82 

0.00 

5.51 

4.16 

2.26 

0.64 

0.00 

.01 

1.00 

6.20 

3.03 

0.80 

0.00 

5.50 

4.14 

2.24 

0.63 

0.00 

.00 

Days.       1O 

9 

8 

r 

9 

8 

7 

6 

5        Days. 

203 


TABLES  XXXI-LXXXI. 


ARGUMENTS,   PERIODS,  AND    EQUATIONS. 


TABLE. 

ARGUMENT. 

PERIOD. 

EQUATION. 

XXXI. 

26 

Davs. 

5.822606 

1.9  +  1.9  sin.  (4<+*). 

XXXII. 

27 

25.82638 

1.6  +  0.8  sin.  (2a-  —  t)  —  0".9  sin.  (4*  —  2<). 

XXXIII. 

28 

38.52204 

7.5  -|-  7.5  sin.  (2t  —  2z  —  x). 

XXXIV. 

29 

32.76364 

6.3  —  6.3  sin.  (2<  -f  x  —  2y). 

XXXV. 

30 

10.37093 

3.8  +  3.8  sin.  (4t  —  x  —  z). 

XXXVI. 

31 

15.31442 

3.0  —  3.0  sin.  (3t  —  x). 

XXXVII. 

32 

16.63016 

3.0  -f-  3.0  sin.  (41  —  2x  —  z). 

XXXVIII. 

33 

32.45058 

2.1  -j-  2.1  sin.  (x  —  2z). 

XXXIX. 

34 

27.09271 

2.0  —  2.0  sin.  (2<  +  2z  —  x). 

XL. 

35 

23.94223 

1.2  —  1.2  sin.  (a:  +  2z). 

XLI. 

36 

13.71881 

1.0  +  1.0  sin.  (<  +  z  +  z). 

XLII. 

37 

37.62533 

0.5  -j-  0.5  sin.  (4<  —  3x). 

XLIII. 

38 

18.78878 

0.4  —  0.4  sin.  H  +  2*). 

XLIV. 

39 

34.47528 

0.6  —  0.6  sin.  (3t  —  2x). 

XLV. 

40 

18.84354 

0.4  +  0.4  sin.  (3x  —  z). 

XLVI. 

41 

17.91910 

0.4  —  0.4  sin.  (3*  +  z). 

XLVII. 

42 

10.14791 

0.3  -f-  0.3  sin.  (2<  +  x  —  2z). 

XLVIII. 

43 

14.53786 

0.6  +  0.6  sin.  (2<  +  2x  —  z). 

XLIX. 

44 

22.78614 

0.3  —  0.3  sin.  (Sx  —  2<  +  z). 

L. 

45 

16.90004 

0.2  —  0.2  sin.  (2«  +  x  +  2y). 

LI. 

46 

29.01328 

0.4  —  0.4  sin.  (x  +  z  —  2y). 

LII. 

47 

14.13256 

1.3  +  1.3  sin.  (2y  —  z). 

LIU. 

48' 

14.96709 

0.5  —  0.5  sin.  (2<  +  2z  —  2y). 

LIV. 

49 

12.76271 

0.2  —  0.2  sin.  (Zx  —  2«+2y). 

LV. 

50 

25.03597 

0.4  —  0.4  sin.  (2y  +  z  —  *). 

LVI. 

51 

18.21692 

0.2  —  0.2  sin.  (x  +  2y). 

LVII. 

52 

25.23137 

1.0  -f-  1.0  sin.  (2y  —  t). 

LVIII. 

53 

117.53942 

2.6  —  2.6  sin.  (2y  —  2«  +  z). 

LIX. 

54 

15.06989 

1.2  +  1.2  sin.  (4<  —  z). 

LX. 

55 

19.62730 

0.9  —  0.9  sin.  (4«  —  *  +  z). 

LXI. 

56 

13.11748 

0.7  —  0.7  sin.  (2y  +  z). 

LXII. 

57 

16.98741 

0.8  +  0.8  sin.  (2t  +  3x). 

LXIII. 

58 

15.24221 

0.5  —  0.5  sin.  (4/  —  2x  -f  z). 

LXIV. 

59 

38.96397 

0.6  —  0.6  sin.  (x  —  4t  4-  2y). 

LXV. 

60 

22.32171 

0.4  —  0.4  sin.  (x  —  2t  +  2y  +  z). 

LXVI. 

61 

13.60611 

0.4  -j-  0.4  sin.  (4y). 

LXVII. 

62 

14.44200 

0.3  -j-  0.3  sin.  (2<-(-2y  —  *). 

LXVIH. 

63 

13.63340 

0.3  -j-  0.3  sin.  (u  +  y). 

LXIX. 

64 

35.99212 

0.3  —  0.3  sin.  (2<  -f  x  —  2y  —  z). 

LXX. 

65 

14.47277 

0.2  —  0.2  sin.  (4t  +  z). 

LXXI. 

66 

35.59582 

0.2  —  0.2  sin.  (3t  —  2y). 

LXXII. 

67 

27.44332 

1.0  —  1.0  sin.  (x-\-y  —  ti). 

LXXIII. 

68 

27.66669 

0.7  -f-  0.7  sin.  (x  —  y  +  u). 

LXXIV. 
LXXV. 

69' 
70 

471.89326 
329.79056 

2.2  —  2.2  sin.  (2x  —  2t—  z). 
1.5  +  1.5  sin.  (2y  —  z  —  2<). 

LXXVI. 

71 

583.921 

1.3  —  1.1  sin.  (  9  —  0)  +  °"-4  sin-  2(9—©)- 

I  AX  VII. 
lAXVIII. 

72 
73' 

:i!iH.884 
1095.1653 

0.8  4-  0.7  sin.  (©  —  ^)  —  0".2  sin.  2  (©  —  y). 
2.0  4-  2.0  sin.  (2y  —  2x). 

LXXIX. 

74 

3232.8202 

0.5  4-  °-5  sin-  ('  —  x  +  *)• 

IA\X. 

75 

84753.24 

53.2  +23.2  sin.  (8g"  —  13z  +  315°  30'). 

LX.XM. 

76 

95489.94 

65.64+27.4  sin.  (  ISg"  —  16z  —  x  +  35°  20'.2). 

TABLE  XXXI.    ARGUMENT  26, 


Equation  =    1".9  [1  +  sin.  (4<  +  *)]. 
Period,  5.822606  days. 


Days.         0 

1 

2             Days. 

Days.         O 

1 

3             Days. 

Days. 

.00 

0.01 

0.85 

2.80 

Days. 

1.00 

Days. 

.50 

0.18 

LSI 

3.53 

Days. 

.50 

.01 

0.01 

0.87 

2.82 

.99 

.51 

0.19 

1.83 

3.54 

.49 

.02 

0.01 

0.89 

2.84 

.98 

.52 

0.20 

1.85 

3.55 

.48 

.03 

0.01 

0.91 

2.85 

.97 

.53 

0.21 

1.87 

3.56 

.47 

.04 

0.01 

0.92 

2.87 

.96 

.54 

0.22 

1.89 

3.57 

.46 

.05 

0.01 

0.94 

2.89 

.95 

.55 

0.23 

1.91 

3.58 

.45 

.06 

0.00 

0.96 

2.90 

.94 

.56 

0.24 

1.93 

3.58 

.44 

.07 

0.00 

0.97 

2.92 

.93 

.57 

0.25 

1.95 

3.59 

.43 

.08 

0.00 

0.99 

2.93 

.92 

.58 

0.26 

1.97 

3.60 

.42 

.09 

0.00 

1.01 

2.95 

.91 

.59 

0.27 

.      1.99 

3.61 

.41 

.10 

0.00 

1.03 

2.97 

.90 

.60 

0.28 

2.01 

3.62 

.40 

.11 

0.00 

1.05 

2.99 

.89 

.61 

0.29 

2.03 

3.63 

.39 

.12 

0.00 

1.07 

3.00 

.88 

.62 

0.30 

2.05 

3.64 

.38 

.13 

0.00 

1.09 

3.02 

.87 

.63 

0.31 

2.07 

3.65 

.37 

.14 

0.00 

1.11 

3.03 

.86 

.64 

0.33 

2.09 

3.65 

.36 

.15 

0.00 

1.12 

3.05 

.85 

.65 

0.34 

2.11 

3.66 

.35 

.16 

0.01 

1.14 

3.07 

.84 

.66 

0.35 

2.14 

3.67 

.34 

.17 

0.01 

1.16 

3.08 

.83 

.67 

0.37 

2.16 

3.68 

.33 

.18 

0.01 

1.18 

3.10 

.82 

.68 

0.38 

2.18 

3.68 

.32 

.19 

0.01 

1.20 

3.11 

.81 

.69 

0.39 

2.20 

3.69 

.31 

.20 

0.01 

1.22 

3.13 

.80 

.70 

0.40 

2.22 

3.70 

.30 

.21 

0.01 

1.24 

3.15 

.79 

.71 

0.41 

2.24 

3.71 

.29 

.22 

0.01 

1.26 

3.16 

.78 

.72 

0.42 

2.26 

3.71 

.28 

.23 

0.02 

1.28 

3.18 

.77 

.73 

0.44 

2.28 

3.72 

.27 

.24 

0.02 

1.30 

3.19 

.76 

.74 

0.45 

2.30 

3.72 

.26 

.25 

0.02 

1.31 

3.21 

.75 

.75 

0.46 

2.32 

3.73 

.25 

.26 

0.03 

1.33 

3.22 

.74 

.76 

0.48 

2.34 

3.74 

.24 

.27 

0.03 

1.35 

3.23 

.73 

.77 

0.49 

2.36            3.74 

.23 

.28 

0.04 

1.37 

3.25 

.72 

.78 

0.51 

2.38 

3.75 

.22 

.29 

0.04 

1.39 

3.26 

.71 

.79 

0.52 

2.40 

3.75 

.21 

.30 

0.04 

1.41 

3.28 

.70 

.80 

0.53 

2.42 

3.76 

.20 

.31 

0.05 

1.43 

3.29 

.69 

.81 

0.54 

2.44 

3.76 

.19 

.32 

0.05 

1.45 

3.31 

.68 

.82 

0.56 

2.46 

3.77 

.18 

.33 

0.06 

1.47 

3.32 

.67 

.83 

0.57 

2.48            3.77 

.17 

.34 

0.06 

1.49 

3.34 

.66 

.84 

0.59 

2.50 

3.77 

.16 

.35 

0.07 

1.51 

3.35 

.65 

.85 

0.60 

2.52 

3.78 

.15 

.36 

0.08 

1.53 

3.36 

.64 

.86 

0.62 

2.54 

3.78 

.14 

•     .37 

0.08 

1.55 

3.38 

.63 

.87 

0.64 

2.56 

3.78 

.13 

.38 

0.09 

1.57 

3.39 

.62 

.88 

0.65 

2.58 

3.79 

.12 

.39 

0.09 

1.59 

3.41 

.61 

.89 

0.67 

2.60 

3.79 

.11 

.40 

0.10 

1.61 

3.42 

.60 

.90 

0.68 

2.62 

3.79 

.10 

.41 

0.11 

1.63 

3.43 

.59 

.91 

0.70 

2.64 

3.79 

.09 

.42 

0.12 

1.65 

3.44 

.58 

.92 

0.72 

2.66 

3.79 

.08 

.43 

0.13 

1.67 

3.45 

.57 

.93 

0.73 

2.68 

3.79 

.07 

.44 

0.13 

1.69 

3.46 

.56 

.94 

0.75 

2.69 

3.79 

.06 

.45 

0.14 

1.71 

3.48 

.55 

.95 

0.76 

2.71 

3.80 

.05 

.46 

0.15 

1.73 

3.49 

.54 

.96 

0.78 

2.73 

3.80 

.04 

.47 

0.15 

1.75 

3.50 

.53 

.97 

0.80 

2.74 

3.80 

.03 

.48 

0.16 

1.77 

3.51 

.52 

.98 

0.81 

2.76 

3.80 

.02 

.49 

0.17 

1.79 

3.52 

.51 

.99 

0.83 

2.78 

3.80 

.01 

.50 

0.18 

1.81 

3.53 

.50 

1.00 

0.85 

2.80 

3.80 

.00 

Days.         .( 

4 

3             Days. 

Days.         S 

4 

3             Days. 

205 


TABLES  XXXII -XXXVI. 


* 

TABLE 
ARGUMENT 


XXXII. 
27. 


XXXIII. 
28. 


XXXIV. 
29. 


XXXV. 
3O. 


XXXVI. 
31. 


Days.         O           1O            2O 

Days.     O               1O 

O             1O 

0 

O     Days. 

Dayj 

11 

tl 

II 

Days. 

_ 

H 

a 

H 

Days. 

0.0 

1.65 

1.96 

2.62 

0.0 

0.05 

7.05 

1.45 

4.15 

7.50 

4.72 

10.0 

0.1 

1.59 

1.97 

2.66 

0.1 

0.04 

7.17 

1.38 

4.26 

7.44 

4.81 

9.9 

0.2 

1.52 

1.98 

2.70 

0.2 

0.03 

7.29 

1.30 

4.38 

7.37 

4.91 

9.8 

0.3 

1.46 

1.98 

2.73 

0.3 

0.02 

7.41 

1.23 

4.49 

7.30 

5.00 

9.7 

0.4 

1.39 

1.99 

2.77 

0.4 

0.01 

7.53 

1.16 

4.61 

7.20 

5.09 

9.6 

0.5 

1.33 

1.99 

2.80 

0.5 

0.01 

7.65 

1.09 

4.72 

7.08 

5.18 

9.5 

0.6 

1.27 

1.99 

2.83 

0.6 

0.00 

7.77 

i.oa 

4.84 

6.96 

5.26 

9.4 

0.7 

1.21 

1.99 

2.86 

0.7 

0.00 

7.89 

0.96 

4.96 

'    6.83 

5.34 

9.3 

0.8 

1.15 

1.99 

2.89 

0.8 

0.00 

8.02 

0.89 

5.07 

6.68 

5.42 

9.2 

0.9 

1.09 

1.98 

2.92 

0.9 

0.01 

8.14 

0.83 

5.19 

6.53 

5.49 

9.1 

1.0 
1.1 
1.2 
1.3 
1.4 

1.03 
0.97 
0.92 
0.86 
0.81 

1.98 
1.97 
1.96 
1.95 
1.93 

2.95 
2.97 
3.00 
3.02 
3.04 

1.0 
1.1 
12 
1.3 

1.4 

0.01 
0.02 
0.03 
0.04 
0.05 

8.27 
8.39 
8.51 
8.63 
8.76 

0.77 
0.71 
0.66 
0.60 
0.55 

5.31 
5.43 
5.55 

5.68 
5.80 

6.36 
6.18 
6.00 
5.81 
5.61 

5.56 
5.62 

5.68 
5.73 

5.78 

9.0 

8.9 
8.8 
8.7 
8.6 

1.5 

0.06 

8.88 

0.50 

5.92 

5.41 

5.82 

8.5 

1.5 

0.76 

1.92 

3.06 

1.6 

0.07 

9.00 

0.46 

6.04 

5.20 

5.86 

8.4 

1.6 

0.71 

1.90 

3.07 

1.7 

0.09 

9.12 

0.41 

6.16 

4.98 

5.81 

8.3 

1.7 

0.66 

1.89 

3.08 

1.8 

0.11 

9.24 

0.37 

6.29 

4.76 

5.92 

8.2 

1.8 

0.61 

1.87 

3.09 

1.9 

0.14 

9.36 

0.33 

6.41 

4.54 

5.95 

8.1 

1.9 

0.57 

1.85 

3.10 

2.0 

0.16 

9.47 

0.29 

6.53 

4.31 

5.97 

8.0 

2.0 

052 

1.83 

3.11 

2.1 

0.19 

9.59 

0.26 

6.65 

4.08 

5.99 

7.9 

2.1 

0.48 

1.81 

3.11 

2.2 

0.22 

9.70 

0.23 

6.77 

3.85 

6.00 

7.8 

2.2 

0.44 

1.79 

3.11 

2.3 

0.25 

9.82 

0.20 

6.89 

3.62 

6.00 

7.7 

2.3 

0.40 

1.77 

3.10 

2.4 

0.28 

9.94 

0.17 

7.01 

3.39 

6.00 

7.6 

2.4 

0.37 

1.74 

3.10 

2.5 

0.31 

10.06 

0.14 

7.13 

3.16 

5.99 

7.5 

2.5 

0.33 

1.72 

3.09 

2.6 

0.34 

10.17 

0.12 

7.25 

2.93 

5.98 

7.4 

2.6 

0.30 

1.70 

3.08 

2.7 

0.38 

10.29 

0.10 

7.37 

2.71 

5.96 

7.3 

2.7 

0.27 

1.67 

3.06 

2.8 

0.42 

10.40 

0.08 

7.49 

2.49 

5.94 

7.2 

2.8 

0.24 

1.65 

3.05 

2.9 

0.47 

10.52 

0.06 

7.61 

2.28 

5.92 

7.1 

2.9 

0.22 

1.62 

3.03 

3.0 

0.50 

10.63 

0.04 

7.73 

2.07 

5.89 

7.0 

3.0 
3.1 
3.2 
3.3 

0.19 
0.17 
0.15 
0.14 

1.60 
1.58 
1.55 
IJU 

3.01 
2.98 
2.96 
2.93 

3.1 
3.2 
3.3 
3.4 

0.55 
0.60 
0.65 
0.70 

10.74 
10.85 
10.96 
11.06 

0.03 
0.02 
0.01 
0.01 

7.85 
7.97 
8.08 
8.20 

1.87 
1.68 
1.49 
1.31 

5.8<> 
5.82 
5.77 
5.72 

6.9 
6.8 
6.7 
6.6 

3.4 

0.12 

1.50 

2.90 

3.5 

0.75 

11.17 

0.00 

8.31 

1.14 

5.67 

6.5 

3.6 

0.80 

11.27 

0.00 

8.42 

0.99 

5.61 

6.4 

3.5 

0.11 

1.48 

2.87 

3.7 

0.86 

11.38 

0.00 

8.54 

0.84 

f>.f>r> 

6.8 

3.6 

0.10 

1.46 

2.83 

3.8 

0.92 

11.48 

0.01 

8.65 

0.70 

;..  is 

6.2 

3.7 

0.10 

l,i:i 

2.80 

3.9 

0.98 

11.59 

0.01 

8.76 

0.57 

5.41 

6.1 

3.8 

0.09 

1.41 

2.76 

3.9 

0.09 

1.39 

2.72 

4.0 

1.03 

11.69 

0.02 

8.87 

0.45 

5.33 

6.0 

4.1 

1.09 

11.79 

0.03 

8.98 

0.35 

5.25 

5.9 

4.0 

0.09 

1.37 

2.68 

4.2 

1.16 

11.89 

0.04 

9.09 

0.26 

5.17 

5.8 

4.1 

0.10:       1.35 

2.63 

4.3 

1.23 

11.99 

0.06 

9.20 

0.18 

5.09 

5.7 

4.2 

0.11         1.33 

2.59 

4.4 

1.30 

12.08 

0.07 

!>.:w 

0.12 

5.00 

5.6 

4.3 

0.12        1.31 

2.54 

4.4 

0.13        1.30 

2.49 

4.5 

1.37 

12.18 

0.09 

9.41 

0.07 

4.91 

5.5 

4.6 

1.44 

12.27 

0.11 

9.51 

0.03 

4.81 

5.4 

4.5 

0.14 

1.28 

2.44 

4.7 

1.51 

12.37 

0.13 

9.61 

0.01 

4.71 

5.:! 

4.6 

0.16 

1.27 

2.39 

4.8 

1.59 

12.46 

0.16 

9.71 

0.00 

4.60 

5.2 

4.7 

0.18        1.25 

2.34 

4.9 

1.66 

12.55 

0.18 

iisi 

0.01 

4.49 

5.1 

L8 

0.20J        l.vJI 

2.28 

5.0 

1.74 

12.64 

0.21 

9.91 

0.03 

4.38 

5.0 

4.9 
5.0 

0.23        1.23 
0.25        1.22 

•J.^:t 
2.17 

Days.    3O             «O 

:to        ao 

10 

1O    Days. 

206 


TABLES  XXXII -XXXVI. 


TABLE 

ARGUMENT 


XXXII. 
27. 


XXXIII. 
28. 


XXXIV. 
39. 


XXXV. 
3O. 


XXXVI. 
31. 


Days 

0 

1O 

20 

Day 

s.      O 

1O 

O 

10 

O 

O 

3ays. 

Days 

5.0 

0.25 

1.22 

2.17 

Days. 

1.74 

12.64 

0.21 

9.91 

0.03 

4.38 

'  Days. 

5.0 

5.1 

0.28 

1.22 

2.11 

5.1 

1.82 

12.73 

0.24 

10.01 

0.06 

4.27 

4.9 

5.2 

0.31 

1.21 

2.05 

5.2 

1.90 

12.82 

0.27 

10.10 

0.11 

4.16 

4.8 

5.3 

0.34 

1.21 

1.99 

5.3 

1.98 

12.91 

0.31 

10.20 

0.17 

4.05 

4.7 

5.4 

0.37 

1.21 

1.93 

5.4 

2.06 

12.99 

0.35 

10.29 

0.24 

3.93 

4.6 

5.5 

0.40 

1.21 

1.87 

5.5 

2.14 

13.07 

0.39 

10.38 

0.32 

3.81 

4.5 

5.6 

0.43 

1.21 

1.81 

5.6 

2.23 

13.15 

0.44 

10.47 

0.42 

3.69 

4.4 

5.7 

0.47 

1.22 

.74 

5.7 

2.32 

13.23 

0.48 

10.56 

0.54 

3.57 

4.3 

5.8 

0.50 

1.22 

.67 

5.8 

2.41 

13.31 

0.53 

10.65 

0.66 

3.45 

4.2 

5.9 

0.54 

1.23 

.61 

5.9 

2.50 

13.39 

0.58 

10.73 

0.79 

3.33 

4.1 

6.0 
6.1 
6.2 
6.3 
6.4 

0.58 
0.62 
0.66 
0.70 
0.75 

1.24 
1.25 
1.26 

1.28 
1.29 

.55 
.49 
.42 
.36 
1.30 

6.0 
6.1 
62 
6.3 
6.4 

2.59 

2.68 

2.78 
2.88 
2.98 

13.46 
13.54 
13.61 
13.68 
13.75 

0.63 
0.67 
0.75 
0.81 
0.87 

10.82 
10.90 
10.98 
11.06 
11.14 

0.94 
1.10 
1.27 
1.45 
1.63 

3.21 
3.09 
2.97 
2.85 
2.72 

4.0 
3.9 
3.8 
3.7 
3.6 

6.5 

3.08 

13.82 

0.93 

11.22 

1.82 

2.60 

3.5 

6.5 

0.79 

1.31 

1.24 

6.6 

3.18 

13.88 

1.00 

11.29 

2.02 

2.47 

3.4 

6.6 

0.83 

1.33 

1.18 

6.7 

3.28 

13.94 

1.07 

11.36 

2.23 

2.35 

3.3 

6.7 

0.88 

1.35 

1.12 

6.8 

3.38 

14.00 

1.14 

11.43 

2.44 

2.23 

3.2 

6.8 

0.92 

1.37 

1.06 

6.9 

3.48 

14.06 

1.21 

11.50 

2.65 

2.11 

3.1 

6.9 

0.97 

1.40 

1.00 

7.0 

3.59 

14.12 

1.28 

11.57 

2.87 

2.00 

3.0 

7.0 

1.01 

1.42 

0.94 

7.1 

3.69 

14.18 

1.33 

11.63 

3.09 

1.88 

2.9 

7.1 

1.05 

1.45 

0.88 

7.2 

3.80 

14.23 

1.43 

11.69 

3.32 

1.77 

2.8 

7.2 

1.10 

1.48 

0.83 

7.3 

3.90 

14.28 

1.51 

11.75 

3.55 

1.66 

2.7 

7.3 

1.14 

1.51 

0.77 

7.4 

4.01 

14.33 

1.59 

11.81 

3.78 

1.55 

2.6 

7.4 

1.19 

1.54 

0.72 

7.5 

4.12 

14.38 

1.67 

11.87 

4.01 

1.44 

2.5 

7.5 

1.23 

1.57 

0.67 

7.6 

4.23 

14.43 

1.75 

11.92 

4.24 

1.34 

2.4 

7.6 

1.27 

1.61 

0.62 

7.7 

4.34 

14.48 

1.83 

11.98 

4.47 

1.21 

2.3 

7.7 

1.32 

1.64 

0.57 

7.8 

4.45 

14.52 

1.92 

12.03 

4.70 

1.14 

2.2 

7.8 

1.36 

1.68 

0.53 

7.9 

4.56 

14.56 

2.00 

12.08 

4.92 

1.04 

2.1 

7.9 

1.40 

1.72 

0.48 

8.0 

4.67 

14.60 

2.09 

12.13 

5.14 

0.95 

2.0 

8.0 
8.1 

8.2 
8.3 

1.44 
1.48 
1.52 
1.56 

1.76 

1.80 
1.84 
1.88 

0.44 
0.40 
0.37 
0.33 

8.1 
8.2 
8.3 
8.4 

4.78 
4.90 
5.02 
5.14 

14.64 
14.67 
14.71 
14.74 

2.18 
2.27 

2.46 

12.17 
12.21 
12.25 
12.29 

5.35 

5.5<5 
5.76 
5.95 

0.86 
0.78 
0.70 
0.62 

1.9 

1.8 
1.7 
1.6 

8.4 

1.59 

1.93 

0.30 

8.5 

5.26 

14.77 

2.55 

1233 

6.13 

0.55 

1.5 

8.6 

5.38 

14.80 

2.65 

12.3« 

6.31 

0.48 

1.4 

8.5 

1.63 

1.97 

0.27 

8.7 

5.50 

14.83 

2.75 

12.39 

6.48 

0.42 

1.3 

8.6 

1.66 

2.01 

0.25 

8.8 

5.62 

14.85 

2.85 

12.42 

6.63 

0.36 

1.2 

8.7 

1.69 

2.06 

0.22 

8.9 

5.74 

14.88 

2.95 

12.45 

6.78 

0.30 

1.1 

8.8 

1.72 

2.10 

0.20 

8.9 

1.75 

2.15 

0.18 

9.0 

5.85 

14.90 

3.05 

12.48 

6.92 

0.25 

1.0 

9.1 

5.97 

14.92 

3.16 

12.50 

7.05 

0.20 

0.9 

9.0 

1.78 

2.19 

0.16 

9.2 

6.08 

14.94 

3.26 

12.52 

7.17 

0.16 

0.8 

9.1 

1.80 

2.23 

0.14 

9.3 

6.20 

14.95 

3.37 

12.54 

7.26 

0.12 

0.7 

9.2 

1.83 

2.28 

0.13 

9.4 

6.32 

14.96 

3.48 

12.55 

7.35 

0.09 

0.6  i 

9.3 

1.85 

2.32 

0.12 

9.4 

1.87 

2.37 

0.11 

9.5 

6.44 

14.97 

3.59 

12.57 

7.43 

0.06 

0.5 

9.6 

6.56 

14.98 

3.70 

12.58 

7.49 

0.04 

0.4 

9.5 

1.89 

2.41 

0.11 

9.7 

6.68 

14.99 

3.81 

12.59 

7.54 

0.02 

0.3 

9.6 

1.91 

2.45 

0.10 

9.8 

6.81 

14.99 

3.92 

12.59 

7.57 

0.01 

0.2 

9.7 

1.92 

2.50 

0.10 

9.9 

6.93 

15.00 

4.04 

12.60 

7.59 

0.00 

0.1 

9.8 

1.94 

2.54 

0.10 

10.0 

7.05 

15.00 

4.15 

12.60 

7.60 

0.00 

0.0 

9.9 
10.0 

1.95 
1.96 

2.58 
2.62 

0.10 
0.11 

Days 

.   3O 

20 

3O 

20 

10 

10    1 

ays. 

207 


TABLES  XXXVII.  -  XLII. 


TABLES    XXXVII. 
ARGUMENTS  32. 


XXXVIII. 
33. 


XXXK. 
34. 


XL. 
35. 


XLI. 
36. 


XLII. 
37. 


Days.      O 

0          10 

0           10 

0           10 

0 

O           1O   Days. 

Day.. 

0.0 

0.58 

6.54 

1.35 

2.15 

3.36 

0.58 

2.24 

6.86 

II 

0.0 

II 

0.45 

llav». 

10.0 

0.1 

0.52 

0.52 

1.39 

2.20 

3.33 

0.61 

2.22 

0.82 

0.0 

0.4f 

9.9 

0.2 

0.46 

0.48 

1.43 

2.24 

3.29 

0.64 

2.21 

0.77 

0.0 

0.47 

9.8 

0.3 

0.40 

0.46 

1.47 

2.29 

3.25 

0.67 

2.19 

0.73 

0.0 

0.47 

9.7 

0.4 

0.35 

0.43 

1.51 

2.33 

3.22 

0.70 

2.17 

0.69 

0.0 

0.48 

9.6 

0.5 

0.30 

0.41 

1.55 

2.38 

3.18 

0.73 

2.15 

0.65 

0.00 

0.49 

9.5 

0.6 

0.25 

0.39 

1.59 

2.42 

3.15 

0.76 

2.13 

0.61 

0.00 

0.50 

9.4 

0.7 

0.21 

0.36 

1.63 

2.47 

3.11 

0.79 

2.11 

0.57 

0.00 

0.51 

9.3 

0.8 

0.17 

034 

1.67 

2.51 

3.07 

0.82 

2.09 

0.53 

0.00 

0.51 

9.2 

0.9 

0.13 

0.32 

1.71 

2.56 

3.03 

0.85 

2.07 

0.49 

0.00 

0.52 

9.1 

1.0 

0.10 

0.30 

1.75 

2.60 

2.99 

0.88 

2.05 

0.45 

0.00 

0.53 

9.0 

1.1 

0.07 

0.28 

1.79 

2.65 

2.95 

0.91 

2.03 

0.41 

0.00 

0.5 

8.9 

1.2 

0.05 

0.26 

1.83 

2.69 

2.91 

0.94 

2.01 

0.37 

0.00 

0.55 

8.8 

1.3 

0.03 

0.24 

1.87 

2.74 

2.87 

0.97 

1.99 

0.33 

0.00 

0.5f 

8.7 

1.4 

0.02 

0.22 

1.91 

2.78 

2.82 

1.00 

1.96 

0.30 

0.00 

0.57 

8.6 

1.5 

0.01 

0.20 

1.95 

2.82 

2.78 

1.03 

1.94 

0.27 

0.00 

0.58 

8.5 

1.6 

0.00 

0.18 

1.99 

2.86 

2.74 

1.06 

1.91 

0.24 

0.00 

0.58 

8.4 

1.7 

0.00 

0.16 

2.03 

2.90 

2.69 

1.09 

1.89 

0.20 

0.00 

0.59 

8.3 

1.8 

0.00 

0.15 

2.07 

2.94 

2.65 

1.19 

1.86 

0.18 

0.00 

0.60 

8.2 

1.9 

0.01 

0.13 

2.11 

2.98 

2.60 

1.16 

1.84 

0.16 

0.00 

0.61 

8.1 

2.0 

0.02 

0.12 

2.15 

3.02 

2.56 

1.19 

1.81 

0.13 

0.00 

0.62 

8.0 

2.1 

0.04 

0.11 

2.19 

3.06 

2.51 

1.22 

1.78 

0.11 

0.00 

0.63 

7.!) 

2.2 

0.06 

0.09 

2.23 

3.10 

2.47 

1.26 

1.75 

0.09 

0.00 

0.64 

7.8 

2.3 

0.08 

0.08 

2.27 

3.14 

2.42 

1.29 

1.72 

0.07 

0.00 

0.64 

7.7 

2.4 

0.11 

0.07 

2.31 

3.17 

2.38 

1.32 

1.69 

0.06 

0.01 

0.65 

7.6 

2.5 

0.14 

0.06 

2.35 

3.21 

2.33 

1.35 

1.66 

0.04 

0.01 

0.66 

7.5 

2.6 

0.18 

0.05 

2.39 

3.25 

2.28 

1.38 

1.63 

0.03 

0.01 

0.67 

7.4 

2.7 

0.22 

0.01 

2.43 

3.29 

2.24 

1.41 

1.60 

0.02 

0.01 

0.68 

7.3 

2.8 

0.27 

0.03 

2.47 

3.32 

2.19 

1.44 

1.57 

0.01 

0.02 

0.68 

7.2 

2.9 

0.32 

0.03 

2.51 

3.36 

2.15 

1.47 

1.54 

0.01 

0.02 

0.69 

7.1 

3.0 

0.37 

0.02 

2.55 

3.39 

2.10 

1.50 

1.51 

0.00 

0.02 

0.70 

7.0 

3.1 

0.42 

0.02 

2.59 

3.42 

2.05 

1.53 

1.48 

0.00 

0.02 

0.71 

6.9 

3.2 

0.48 

0.01 

2.63 

3.46 

2.01 

1.56 

1.45 

0.00 

0.03 

0.72 

6.8 

3.3 

0.54 

0.01 

2.67 

3.49 

1.96 

1.59 

1.42 

0.00 

0.03 

0.72 

6.7 

3.4 

0.61 

0.00 

2.71 

3.52 

1.92 

1.62 

1.39 

0.01 

0.03 

0.73 

6.6 

3.5 

0.68 

0.00 

2.75 

3.55 

1.87 

1.65 

1.36 

0.02 

0.03 

0.74 

6.5 

3.6 

0.75 

0.00 

2.79 

3.58 

1.82 

1.68 

1.33 

0.03 

0.04 

0.74 

6.4 

3.7 

0.83 

0.00 

2.83 

3.61 

1.78 

1.71 

1.30 

0.01 

0.01 

0.75 

6.3 

3.8 

0.91 

0.00 

2.87 

3.64 

1.73 

1.74 

1.27 

0.05 

0.04 

0.76 

6.2 

3.9 

0.98 

0.00 

2.90 

3.66 

1.69 

1.76 

1.23 

0.06 

0.05 

0.76 

6.1 

4.0 

1.08 

0.00 

2.94 

3.69 

1.64 

1.79 

1.20 

0.08 

0.05 

0.77 

6.0 

4.1 

1.17 

0.00 

2.98 

3.71 

1.60 

1.82 

1.17 

0.10 

0.05 

0.78 

5.9 

4.2 

1.26 

0.00 

3.01 

8.74 

1.55 

1.84 

1.13 

0.12 

0.06 

0.78 

5.8 

4.3 

L8S 

0.01 

3.05 

3.76 

1.51  . 

1.87 

1.10 

0.14 

0.06 

0.79 

5.7 

4.4 

1.45 

0.01 

3.08 

3.78 

1.46 

1.89 

1.07 

0.17 

0.07 

0.79 

5.6 

4.5 

1.55 

0.02 

3.12 

3.80 

1.42 

1.92 

1.01 

0.19 

0.07 

0.80 

5.5 

4.6 

1.65 

0.02 

3.16 

3.82 

1.88 

1.94 

1.01 

0.22 

0.08 

0.81 

5.4 

4.7 

1.75 

0.03 

3.19 

:s.s  I 

1.88 

1.97 

0.98 

Q.25 

0.08 

0.81 

5.3 

4.8 

1.85 

0.03 

:(.v2.-i 

3.86 

1.29 

1.99 

0.06 

().',!* 

0.09 

0.82 

5.2 

4.9 

1.95 

0.04 

3.26 

3.87 

1.24 

2.02 

0.92 

o.:ti 

0.09 

0.81 

5.1 

5.0 

2.06 

0.05 

3.29 

&89 

1.20 

2.04 

0.89 

O.:M 

0.10 

0.83 

5.0 

Days.     1O 

30         20 

30         20 

30         SO 

10 

3O         2O  Days. 

208 


TABLES  XXXVII.  -  XLII. 


TABLES    XXXVII. 
ARGUMENTS  32. 


XXXVIII. 
33. 


XXXIX. 
34. 


XL. 
35. 


XLI. 
36. 


XLII. 
37. 


Days.      O 

0           1O 

O          1O 

O          1O 

O 

O          1O  Days. 

l>avs. 

5.0 

2.06 

0.05 

3.29 

3.89 

1.20 

2.04 

0.89 

0.34 

0.10 

0.83 

Days. 

5.0 

5.1 

2.17 

0.06 

3.32 

3.90 

1.16 

2.06 

0.86 

0.37 

0.11 

0.84 

4.9 

5.2 

2.28 

0.07 

3.36 

3.92 

1.11 

2.08 

0.83 

0.41 

0.11 

0.84 

4.8 

5.3 

2.39 

0.08 

3.39 

3.93 

1.07 

2.10 

0.80 

0.45 

0.12 

0.85 

4.7 

5.4 

2.50 

0.10 

3.42 

3.94 

1.03 

2.12 

0.78 

0.49 

0.12 

0.85 

4.6 

5.5 

2.61 

0.11 

3,15 

3.95 

0.99 

2.14 

0.75 

0.53 

0.13 

0.86 

4.5 

5.6 

2.73 

0.12 

3.48 

3.96 

0.95 

2.16 

0.72 

0.57 

0.14 

0.87 

4.4 

5.7 

2.84 

0.14 

3.51 

3.97 

0.91 

2.18 

0.69 

0.61 

0.14 

0.87 

4.3 

5.8 

2.96 

0.15 

3.54 

3.98 

0.87 

2.20 

0.67 

0.65 

0.15 

0.88 

4.2 

5.9 

3.07 

0.16 

3.57 

3.98 

0.84 

2.21 

0.64 

0.69 

0.15 

0.88 

4.1 

6.0 

3.19 

0.18 

3.60 

3.99 

0.80 

2.23 

0.61 

0.74 

0.16 

0.89 

4.0 

6.1 

3.30 

0.20 

3.63 

3.99 

0.76 

2.24 

0.58 

0.78 

0.17 

0.89 

3.9 

6.2 

3.41 

0.22 

3.66 

4.00 

0.72 

2.26 

0.56 

0.83 

0.17 

0.90 

3.8 

6.3 

3.52 

0.24 

3.68 

4.00 

0.69 

2.27 

0.53 

0.87 

0.18 

0.90 

3.7 

6.4 

3.63 

0.26 

3.71 

4.00 

0.65 

2.29 

0.51 

0.92      > 

0.18 

0.91 

3.6 

6.5 

3.74 

0.28 

3.73 

4.00 

0.62 

2.30 

0.48 

0.96 

0.19 

0.91 

3.5 

6.6 

3.85 

0.30 

3.76 

4.00 

0.59 

2.31 

0.46 

1.01 

0.20 

0.92 

3.4 

6.7 

3.96 

0.32 

3.78 

4.00 

0.55 

2.33 

0.43 

1.06 

0.20 

0.92 

3.3 

6.8 

4.06 

0.35 

3.81 

3.99 

0.52 

2.34 

0.41 

1.11 

0.21 

0.93 

3.2 

6.9 

4.17 

0.37 

3.83 

3.99 

0.49 

2.35 

0.38 

1.16 

0.21 

0.93 

3.1 

7.0 

4.27 

0.40 

3.85 

3.98 

0.46 

2.36 

0.36 

1.20 

0.22 

0.94 

3.0 

7.1 

4.37 

0.42 

3.87 

3.97 

0.43 

2.37 

034 

1.25 

0.23 

0.94 

2.9 

7.2 

4.47 

0.45 

3.89 

3.97 

0.40 

2.37 

0.31 

1.29 

0.23 

0.95 

2.8 

7.3 

4.57 

0.47 

3.91 

3.96 

0.37 

2.38 

0.29 

1.33 

0.24 

0.95 

2.7 

7.4 

4.67 

0.50 

3.93 

3.95 

0.35 

2.38 

0.27 

1.37 

0.25 

0.95 

2.6 

7.5 

4.76 

0.53 

3.95 

3.94 

0.32 

2.39 

0.25 

1.41 

0.25 

0.96 

2.5 

7.6 

4.85 

0.56 

3.97 

3.93 

0.30 

2.39 

0.23 

1.45 

0.26 

0.96 

2.4 

7.7 

4.94 

0.58 

3.99 

3.92 

0.27 

2.40 

0.21 

1.49 

0.27 

0.96 

2.3 

7.8 

5.02 

0.61 

4.01 

3.90 

0.25 

2.40 

0.19 

1.53 

0.27 

0.97 

2.2 

7.9 

5.10 

0.64 

4.02 

3.89 

0.23 

2.40 

0.18 

1.57 

0.28 

0.97 

2.1 

8.0 

5.18 

0.67 

4.04 

3.87 

0.21 

2.40 

0.16 

1.61 

0.29 

0.97 

2.0 

8.1 

5.26 

0.70 

4.06 

3.85 

0.19 

2.40 

0.15 

1.65 

0.30 

0.97 

1.9 

8.2 

5.33 

0.73 

4.07 

3.84 

0.17 

2.40 

0.13 

1.68 

0.31 

0.98 

1.8 

8.3 

5.40 

0.76 

4.09 

3.82 

0.15 

2.40 

0.12 

1.71 

0.31 

0.98 

1.7 

8.4 

5.47 

0.79 

4.10 

3.80 

0.14 

2.39 

0.10 

1.74 

0.32 

0.98 

1.6 

8.5 

5.53 

0.82 

4.11 

3.78 

0.12 

2.39 

0.09 

1.77 

0.33 

0.98 

1.5 

8.6 

5.59 

0.85 

4.12 

3.76 

0.10 

2.38 

0.08 

1.80 

0.34 

0.98 

1.4 

8.7 

5.65 

0.88 

4.13 

3.73 

0.09 

2.38 

0.07 

1.83 

0.35 

0.99 

1.3 

8.8 

5.70 

0.91 

4.14 

3.71 

0.07 

2.37 

0.06 

1.85 

0.35 

0.99 

1.2 

8.9 

5.75 

0.95 

4.15 

3.69 

0.06 

2.37 

0.05 

1.87 

0.36 

0.99 

1.1 

9.0 

5.79 

0.98 

4.16 

3.66 

0.05 

2.36 

0.04 

1.89 

0.37 

0.99 

1.0 

9.1 

5.83 

1.01 

4.17 

3.64 

0.04 

2.35 

0.03 

1.91 

0.38 

0.99 

0.9 

9.2 

5.86 

1.05 

4.18 

3.61 

0.03 

2.34 

0.03 

1.93 

0.39 

0.99 

0.8 

9.3 

5.89 

1.08 

4.18 

3.58 

0.02 

2.33 

0.02 

1.95 

0.39 

0.99 

0.7 

9.4 

5.92 

1.12 

4.19 

3.55 

0.02 

2.32 

0.02 

1.96 

0.40 

1.00 

0.6 

9.J 

5.94 

1.16 

4.19 

3.52 

0.01 

2.31 

0.01 

1.97   • 

0.41 

1.00 

0.5 

9.6 

5.96 

1.20 

4.19 

3.49 

0.01 

2.30 

0.01 

1.98 

0.42 

1.00 

0.4 

9.7 

5.98 

1.23 

4.20 

3.46 

0.00 

2.28 

0.01 

1.99 

0.43 

1.00 

0.3 

9.8 

5.99 

1.27 

4.20 

3.43 

000 

2.27 

0.00 

1.99 

0.43 

1.00 

0.2 

9.9 

600 

1.31 

4.20 

3.39 

0.00 

2.25 

0.00 

2.00 

0.44 

1.00 

0.1 

10.0 

6.00 

1.35 

4.20 

3.36 

0.00 

2.24 

0.00 

2.00 

0.45 

1.00 

0.0 

Days.     1O 

3O         2O 

3O         2O 

3O         2O 

10 

3O         20  Days. 

209 


TABLES  XLIII.-L. 


TABLES       XLIII.  XLIV.  XLV. 

ARGUMENTS  3§.  39.  4O. 


XLVI.      XLVII.     XLVin.     XLIX. 
41.  42.  43.  44. 


L. 
45. 


Day 

I.     0 

o 

IO 

0 

o 

O 

o 

0 

IO 

0 

Days. 

Days. 

0.0 

6.03 

1.12 

6.75 

II 

0.77 

6.10 

6.60 

6.17 

6.09 

6.58 

It 

0.17 

Days. 

10.0 

0.1 

0.02 

1.13 

0.74 

0.78 

0.08 

0.60 

0.21 

0.10 

0.58 

0.19 

9.9 

0.2 

0.01 

1.13 

0.73 

0.79 

0.07 

0.59 

0.25 

0.10 

0.57 

0.21 

9.8 

0.3 

0.01 

1.14 

0.71 

0.80 

0.05 

0.59 

0.30 

0.11 

0.57 

0.24 

9.7 

0.4 

0.00 

1.15 

0.70 

0.80 

0.04 

0.58 

0.35 

0.11 

0.56 

0.26 

9.6 

0.5 

0.00 

1.15 

0.69 

0.80 

0.03 

0.58 

0.40 

0.12 

0.56 

0.28 

9.5 

0.6 

0.00 

1.15 

0.68 

0.80 

0.02 

0.57 

0.45 

0.13 

0.56 

0.30 

9.4 

0.7 

0.00 

1.16 

0.67 

0.80 

0.01 

0.56 

0.50 

0.13 

0.55 

0.32 

9.3 

0.8 

0.00 

1.16 

0.66 

0.79 

0.01 

0.55 

0.55 

0.14 

0.55 

0.34 

9.2 

0.9 

0.01 

1.17 

0.65 

0.79 

0.00 

0.54 

0.60 

0.14 

0.54 

0.35 

9.1 

1.0 

0.01 

1.17 

0.64 

0.78 

0.00 

0.53 

0.65 

0.15 

0.54 

0.36 

9.0 

1.1 

0.02 

1.17 

0.63 

0.77 

0.00 

0.52 

0.70 

0.16 

0.53 

0.37 

8.9 

1.2 

0.03 

1.17 

0.62 

0.76 

0.00 

0.50 

0.75 

0.17 

0.53 

0.38 

8.8 

1.3 

0.04 

1.18 

0.61 

0.75 

0.00 

0.48 

0.80 

0.17 

0.52 

0.39 

8.7 

1.4 

0.05 

1.18 

0.60 

0.74 

0.01 

0.47 

0.85 

0.18 

0.52 

0.40 

8.6 

1.5 

0.06 

1.18 

0.59 

0.73 

0.02 

0.45 

0.89 

0.19 

0.51 

0.40 

8.5 

1.6 

0.08 

1.18 

0.58 

0.71 

0.03 

0.44 

0.93 

0.20 

0.50 

0.40 

8.4 

1.7 

0.10 

1.18 

0.57 

0.69 

0.04 

0.42 

0.97 

0.21 

0.50 

0.40 

8.3 

1.8 

0.12 

1.19 

0.55 

0.67 

0.06 

0.41 

1.01 

0.21 

0.49 

0.39 

8.2 

1.9 

0.14 

1.19 

0.54 

0.65 

0.07 

0.39 

1.05 

0.22 

0.49 

0.38 

8.1 

2.0 

0.16 

1.19 

0.53 

0.63 

0.09 

0.37 

1.08 

0.23 

0.48 

0.37 

8.0 

2.1 

0.18 

1.19 

0.52 

0.61 

0.11 

0.35 

.11 

0.24 

0.47 

0.36 

7.9 

2.2 

0.21 

1.19 

0.51 

0.59 

0.13 

0.33 

.14 

0.25 

0.46 

0.35 

7.8 

2.3 

0.23 

1.20 

0.50 

0.57 

0.15 

0.31 

.16 

0.25 

0.46 

0.33 

7.7 

2.4 

0.26 

1.20 

0.49 

0.54 

0.17 

0.30 

.17 

0.26 

0.45 

0.31 

7.6 

2.5 

0.28 

1.20 

0.48 

0.52 

0.19 

0.28 

.18 

0.27 

0.44 

0.29 

7.5 

2.6 

0.31 

1.20 

0.47 

0.49 

0.22 

0.27 

.19 

0.28 

0.43 

0.27 

7.4 

2.7 

0.33 

1.20 

0.46 

0.46 

0.24 

0.25 

.20 

0.29 

0.42 

0.25 

7.3 

2.8 

0.36 

1.20 

0.45 

0.43 

0.27 

0.23 

.20 

0.29 

0.42 

0.23 

7.2 

2.9 

0.38 

1.20 

0.44 

0.40 

0.29 

0.21 

.20 

0.30 

0.41 

0.21 

7.1 

3.0 

0.41 

1.20 

0.43 

0.38 

0.32 

0.19 

.19 

0.31 

0.40 

0.19 

7.0 

3.1 

0.44 

1.20 

0.42 

0.35 

0.35 

0.17 

.17 

0.32 

0.39 

0.17 

6.9 

3.2 

0.47 

1.20 

0.41 

0.33 

0.38 

0.15 

.15 

0.33 

0.38 

0.14 

6.8 

3.3 

0.50 

1.19 

0.40 

0.30 

0.41 

0.13 

.13 

0.33 

0.38 

0.12 

6.7 

3.4 

0.52 

1.19 

0.39 

0.28 

0.43 

0.12 

.10 

0.34 

0.37 

0.10 

6.6 

3.5 

0.55 

1.19 

0.38 

0.25 

0.46 

0.10 

.07 

0.35 

0.36 

0.08 

6.5 

3.6 

0.57 

1.19 

0.37 

0.23 

0.49 

0.09 

.04 

0.36 

0.35 

0.06 

6.4 

3.7 

0.59 

1.19 

0.36 

0.20 

0.52 

0.08 

.00 

0.37 

0.34 

0.05 

6.3 

3.8 

0.61 

1.18 

0.35 

0.18 

0.54 

0.07 

0.96 

0.37 

0.34 

0.04 

6.2 

3.9 

0.63 

1.18 

0.34 

0.16 

0.57 

0.06 

0.92 

0.38 

0.33 

0.03 

6.1 

4.0 

0.65 

1.18 

0.33 

0.14 

0.59 

0.05 

0.87 

0.39 

0.32 

0.02 

6.0 

4.1 

0.67 

1.18 

0.32 

0.12 

0.62 

0.04 

0.82 

0.40 

0.31 

0.01 

5.9 

4.2 

0.69 

1.18 

0.31 

0.10 

0.64 

0.03 

0.77 

0.41 

0.30 

0.01 

5.8 

4.3 

0.71 

1.17 

0.30 

0.08 

0.66 

0.02 

0.72 

0.41 

0.30 

0.00 

5.7 

4.4 

0.73 

1.17 

0.29 

0.07 

0.68 

0.02 

0.67 

0.42 

0.29 

0.00 

5.6 

4.5 

0.75 

1.17 

•     0.28 

0.05 

0.70 

0.01 

0.62 

0.43 

0.28 

0.01 

5.5 

4.6 

0.76 

1.17 

0.27 

0.04 

0.72 

0.01 

0.57 

0.44 

0.27 

0.01 

5.4 

4.7 

0.77 

1.16 

0.26 

0.03 

0.74 

0.00 

0.52 

0.45 

0.26 

0.02 

5.3 

4.8 

0.78 

1.16 

0.25 

0.02 

0.75 

0.00 

0.47 

0.45 

0.26 

0.03 

5.2 

4.9 

0.79 

1.15 

0.24 

0.01 

0.76 

0.00 

0.42 

0.46 

0.25 

0.01 

5.1 

5.0 

0.79 

1.15 

0.23 

0.01 

0.77 

0.00 

0.37 

0.47 

0.2  1 

0.05 

5.0 

Daj 

s.    10 

3O 

»0 

10 

10 

10 

10 

3O 

30 

1 

10 

Days. 

210 


TABLES   XLIII.-L. 


TABLES       XLIII.  XLIV. 

ARGUMENTS  38.  39. 


XLV.       XLVI.      XLVII.     XLVIII.     XLIX. 
4O.  41.  42.  43.  44. 


L. 
45. 


Days.      O 

0           1O 

O 

O 

O 

O 

o      10 

O      Days. 

Days. 

1) 

I 

u 

1 

II 

II 

II 

1 

(' 

II 

Days. 

5.0 

0.79 

1.15 

0.23 

0.01 

0.77 

0.00 

0.37 

0.47 

0.24 

0.05 

5.0 

5.1 

0.80 

1.15 

0.22 

0.00 

0.78 

0.00 

0.32 

0.48 

0.23 

0.06 

4.9 

5.2 

0.80 

1.14 

0.21 

0.00 

0.79 

0.00 

0.28 

0.48 

0.22 

0.08 

4.8 

5.3 

0.80 

1.14 

0.21 

0.00 

0.80 

0.00 

0.24 

0.49 

.  0.22 

0.10 

4.7 

5.4 

0.80 

1.13 

0.20 

0.00 

0.80 

0.01 

0.20 

0.49 

0.21 

0.12 

4.6 

5.5 

0.80 

1.13 

0.19 

0.00 

0.80 

0.01 

0.16 

0.50 

0.20 

0.14 

4.5 

5.6 

0.79 

1.12 

0.18 

0.01 

0.80 

0.02 

0.13 

0.51 

0.19 

0.16 

4.4 

5.7 

0.79 

1.12 

0.17 

0.02 

0.80 

0.03 

0.10 

0.51 

0.18 

0.18 

4.3 

5.8 

0.78 

1.11 

0.17 

0.03 

0.79 

0.04 

0.07 

0.52 

0.18 

0.20 

4.2 

5.9 

0.77 

1.10 

0.16 

0.04 

0.78 

0.05 

0.05 

0.52 

0.17 

0.23 

4.1 

6.0 

0.76 

1.10 

0.15 

0.05 

0.77 

0.06 

0.03 

0.53 

0.16 

0.25 

4.0 

6.1 

0.75 

1.09 

0.14 

0.06 

0.76 

0.07 

0.02 

0.53 

0.15 

0.27 

3.9 

6.2 

0.73 

1.09 

0.14 

0.08 

0.75 

0.09 

0.01 

0.54 

0.15 

0.29 

3.8 

6.3 

0.72 

1.08 

0.13 

0.09 

0.74 

0.10 

0.00 

0.54 

0.14 

0.31 

3.7 

6.4 

0.70 

1.07 

0.13 

0.11 

0.72 

0.12 

0.00 

0.55 

0.14 

0.33 

3.6 

6.5 

0.68 

1.07 

0.12 

0.13 

0.71 

0.13 

0.00 

0.55 

0.13 

0.35 

3.5 

6.6 

0.66 

1.06 

0.12 

0.15 

0.69 

0.15 

0.01 

0.55 

0.12 

0.36 

3.4 

6.7 

0.64 

1.05 

0.11 

0.17 

0.67 

0.16 

0.02 

0.56 

0.12 

0.37 

3.3 

6.8 

0.62 

1.05 

0.10 

0.19 

0.65 

0.18 

0.04 

0.56 

0.11 

0.38 

3.2 

6.9 

0.60 

1.04 

0.09 

0.21 

0.63 

0.19 

0.06 

0.57 

0.11 

0.39 

3.1 

7.0 

0.57 

1.03 

0.09 

0.24 

0.60 

0.21 

0.09 

0.57 

0.10 

0.40 

3.0 

7.1 

0.55 

1.02 

0.08 

0.26 

0.58 

0.23 

0.12 

0.57 

0.09 

0.40 

2.9 

7.2 

0.52 

1.01 

0.07 

0.29 

0.55 

0.25 

0.15 

0.58 

0.09 

0.40 

2.8 

7.3 

0.50 

1.01 

0.07 

0.31 

0.53 

0.27 

0.19 

0.58 

0.08 

0.40 

2.7 

7.4 

0.47 

1.00 

0.06 

0.34 

0.50 

0.29 

0.23 

0.59 

0.08 

0.39 

2.6 

7.5 

0.44 

0.99 

0.06 

0.36 

0.47 

0.31 

0.27 

0.59 

0.07 

0.38 

2.5 

7.6 

0.41 

0.98 

0.06 

0.39 

0.44 

0.33 

0.31 

0.59 

0.06 

0.37 

2.4 

7.7 

0.38 

0.97 

0.05 

0.41 

0.41 

0.35 

0.36 

0.59 

0.06 

0.36 

2.3 

7.8 

0.36 

0.97 

0.05 

0.44 

0.39 

0.37 

0.41 

0.60 

0.05 

0.35 

2.2 

7.9 

0.33 

0.96 

0.04 

0.46 

0.36 

0.39 

0.46 

0.60 

0.05 

0.31 

2.1 

8.0 

0.31 

0.95 

0.04 

0.49 

0.34 

0.40 

0.51 

0.60 

0.04 

0.32 

2.0 

8.1 

0.28 

0.94 

0.04 

0.52 

0.31 

0.42 

0.56 

0.60 

0.04 

0.30 

1.9 

8.2 

0.26 

0.93 

0.03 

0.55 

0.28 

0.43 

0.61 

0.60 

0.03 

0.28 

1.8 

8.3 

0.23 

0.92 

0.03 

0.58 

0.25 

0.45 

0.66 

0.60 

0.03 

0.26 

1.7 

8.4 

0.21 

0.91 

0.02 

0.60 

0.23 

0.46 

0.71 

0.60 

0.02 

0.24 

1.6 

8.5 

0.18 

0.90 

0.02 

0.62 

0.20 

0.48 

0.76 

0.60 

0.02 

0.22 

1.5 

8.6 

0.16 

0.89 

0.02 

0.64 

0.18 

0.49 

0.81 

0.60 

0.02 

0.20 

1.4 

8.7 

0.14 

0.88 

0.02 

0.66 

0.15 

0.51 

0.86 

0.60 

0.02 

0.18 

1.3 

8.8 

0.12 

0.87 

0.01 

0.68 

0.13 

0.52 

0.91 

0.60 

0.01 

0.15 

1.2 

8.9 

0.10 

0.86 

0.01 

0.70 

0.11 

0.53 

0.95 

0.60 

0.01 

0.13 

1.1 

9.0 

0.09 

0.85 

0.01 

0.71 

0.09 

0.54 

0.99 

0.60 

0.01 

0.11 

1.0 

9.1 

0.07 

0.84 

0.01 

0.73 

0.07 

055 

1.03 

0.60 

0.01 

0.09 

0.9 

9.2 

0.06 

0.83 

0.01 

0.74 

0.06 

0.56 

1.06 

0.60 

0.01 

0.07 

0.8 

9.3 

0.04 

0.82 

0.00 

0.75 

0.05 

0.57 

1.09 

0.59 

0.00 

0.05 

0.7 

9.4 

0.03 

0.81 

0.00 

0.76 

0.04 

0.58 

1.12 

0.59 

0.00 

0.04 

0.6 

9.5 

0.02 

0.80 

0.00 

0.77 

0.03 

0.59 

1.14 

0.59 

0.00 

0.03 

0.5 

9.6 

0.01 

0.79 

0.00 

0.78 

0.02 

0.59 

1.16 

0.59 

0.00 

0.02 

0.4 

9.7 

0.00 

0.78 

0.00 

0.79 

0.01 

0.60 

1.18 

0.59 

0.00 

0.01 

0.3 

9.8 

0.00 

0.77 

0.00 

0.79 

0.01 

0.60 

1.19 

0.58 

0.00 

001 

0.2 

9.9 

0.00 

0.76 

0.00 

0.80 

0.00 

0.60 

1.20 

0.58 

0.00 

0.00 

0.1 

10.0 

0.00 

0.75 

0.00 

0.80 

0.00 

0.60 

1.20 

0.58 

0.00 

0.00 

0.0 

Days.    1O 

30         20 

10 

10 

10 

10 

3O       2O 

1  0    Days. 

211 


TABLES  LI.-LVII. 


TABLES          LI. 
ARGUMENTS  46. 


LIT. 
47. 


LIII. 

48. 


LJV. 
49. 


LV. 

50. 


LVL 
51. 


Lvn. 

52. 


Day 

s.     O 

10 

0 

O 

O 

0 

10 

0 

O 

10   1 

lays. 

Davs. 

0.0 

0.54 

0.61 

0.96 

0.75 

6.16 

0.28 

0.73 

6.03 

i'.26 

6.21 

10.0 

0.1 

0.55 

0.60 

0.90 

0.76 

0.17 

0.29 

0.72 

0.03 

1.23 

0.22 

9.9 

0.2 

0.56 

0.60 

0.85 

0.78 

0.18 

0.30 

0.72 

0.02 

1.21 

0.24 

9.8 

0.3 

0.56 

0.59 

0.79 

0.79 

0.19 

0.31 

0.71 

0.02 

1.18 

0.25 

9.7 

0.4 

0.57 

0.59 

0.74 

0.81 

0.20 

0.32 

0.70 

0.01 

1.16 

0.27 

9.6 

0.5 

0.58 

0.58 

0.69 

0.82 

0.21 

0.33 

0.70 

0.01 

1.13 

0.29 

9.5 

0.6 

0.59 

0.57 

0.64 

0.83 

0.22 

0.34 

0.69 

0.01 

1.11 

0.31 

9.4 

0.7 

0.59 

0.56 

0.59 

0.85 

0.23 

0.35 

0.68 

0.00 

1.08 

0.32 

9.8 

0.8 

0.60 

0.56 

0.54 

0.86 

0.24 

0.36 

0.68 

0.00 

1.06 

0.31 

9.2 

0.9 

0.60 

0.55 

0.50 

0.88 

0.25 

0.37 

0.67 

0.00 

1.03 

0.36 

9.1 

.0 

0.61 

0.54 

0.45 

0.89 

0.26 

0.38 

0.66 

0.00 

1.01 

0.38 

9.0 

.1 

0.62 

0.53 

0.41 

0.90 

0.27 

0.39 

0.65 

0.00 

0.98 

0.40 

8.9 

.2 

0.63 

0.52 

0.37 

0.91 

0.28 

0.40 

0.64 

0.01 

0.96 

0.42 

8.8 

.3 

0.63 

0.52 

0.33 

0.93 

0.28 

0.41 

0.63 

0.01 

0.93 

0.44 

8.7 

.4 

0.64 

0.51 

0.30 

0.94 

0.29 

0.42 

0.63 

0.01 

0.91 

0.46 

8.6 

.5 

0.65 

0.50 

0.26 

0.95 

0.30 

0.43 

0.62 

0.02 

0.88 

0.48 

8.5 

.6 

0.66 

0.49 

0.23 

0.96 

0.31 

0.44 

0.61 

0.02 

0.86 

0.50 

8.4 

1.7 

0.66 

0.48 

0.20 

0.97 

0.32 

0.45 

0.60 

0.03 

0.83 

0.52 

8.3 

1.8 

0.67 

0.48 

0.17 

0.97 

0.32 

0.46 

0.59 

0.03 

0.81 

0.54 

8.2 

1.9 

0.67 

0.47 

0.15 

0.98 

0.33 

0.47 

0.58 

0.04 

0.78 

0.57 

8.1 

2.0 

0.68 

0.46 

0.12 

0.99 

0.34 

0.48 

0.57 

0.05 

0.76 

0.59 

8.0 

2.1 

0.69 

0.45 

0.10 

0.99 

0.35 

0.49 

0.56 

0.06 

0.73 

0.61 

7.9 

2.2 

0.69 

0.44 

0.08 

0.99 

0.35 

0.50 

0.55 

0.07 

0.71 

(Mil 

7.8 

2.3 

0.70, 

0.44 

0.06 

1.00 

0.36 

0.51 

0.54 

0.08 

0.68 

0.66 

7.7 

2.4 

0.70 

0.43 

0.05 

1.00 

0.36 

0.52 

0.53 

0.09 

0.66 

0.69 

7.6 

2.5 

0.71 

0.42 

0.03 

1.00 

0.37 

0.53 

0.52 

0.10 

0.64 

0.71 

7.5 

2.6 

0.72 

0.41 

0.02 

1.00 

0.37 

0.53 

0.51 

0.11 

0.62 

0.73 

7.4 

2.7 

0.72 

0.40 

0.01 

1.00 

0.38 

0.54 

0.50 

0.13 

0.59 

0.76 

7.3 

2.8 

0.73 

0.40 

0.01 

0.99 

0.38 

0.55 

0.49 

0.14 

0.57 

0.78 

7.2 

2.9 

0.73 

0.39 

0.00 

0.99 

0.39 

0.56 

0.48 

0.15 

0.55 

0.81 

7.1 

3.0 

0.74 

0.38 

0.00 

0.99 

0.39 

0.57 

0.47 

0.16 

0.53 

0.83 

7.0 

3.1 

0.74 

0.37 

0.01 

0.98 

0.39 

0.58 

'  0.46 

0.18 

0.50 

O.,sf> 

6.9 

3.2 

0.75 

0.36 

0.01 

0.98 

0.39 

0.59 

0.45 

0.19 

0.49 

O.NS 

(i.S 

3.3 

0.75 

0.36 

0.02 

0.97 

040 

0.59 

0.44 

0.21 

0.47 

0.90 

6.7 

3.4 

0.76 

0.35 

0.03 

0.97 

0.40 

0.60 

0.43 

0.22 

0.45 

0.93 

6.6 

3.5 

0.76 

0.34 

0.04 

0.96 

0.40 

0.61 

0.42 

0.24 

0.43 

0.95 

6.5 

3.6 

0.76 

0.33 

0.06 

0.95 

0.40 

0.62 

0.41 

0.26 

0.41 

0.98 

6.4 

3.7 

0.77 

0.32 

0.08 

0.94 

0.40 

0.63 

0.40 

0.27 

0.39 

1.00 

6.3 

3.8 

0.77 

0.32 

0.10 

0.93 

0.40 

0.63 

0.39 

0.28 

0.37 

LOS 

6.2 

3.9 

0.78 

0.31 

0.12 

0.92 

0.40 

0.64 

0.38 

0.29 

0.35 

1.05 

6.1 

4.0 

0.78 

0.30 

0.14 

0.91 

0.40 

0.65 

0.37 

0.30 

0.33 

1.08 

6.0 

4.1 

0.78 

0.29 

0.17 

0.90 

0.40 

0.66 

0.36 

0.31 

0.31 

1.10 

5.9 

4.2 

0.78 

0.28 

0.20 

0.88 

0.39 

0.66 

0.35 

0.32 

0.29 

1.13 

5.8 

4.3 

0.79 

0.28 

0.23 

O.S7 

0.39 

0.67 

0.84 

<>.:n 

0.28 

1.15 

5.7 

4.4 

0.79 

0.27 

0.27 

0.85 

0.38 

0.68 

().:{;{ 

o.:i  i 

0.26 

1.18 

5.6 

4.5 

0.79 

0.26 

0.30 

0.84 

0.3N 

0.68 

0.32 

0.35 

0.25 

.20 

5.5 

4.6 

0.79 

0.25 

0.34 

0.82 

0.37 

0.69 

0.32 

0.36 

0.23 

.22 

5.4 

4.7 

0.79 

0.24 

0.38 

0.80 

0.37 

0.70 

0.31 

0.37 

0.21 

.25 

5.3 

4.8 

O.xo 

0.24 

0.42 

0.79 

0.36 

0.70 

0.30 

0.38 

0.20 

.27 

5.2 

4.9 

O.HO 

0.23 

0.47 

0.77 

0.36 

0.71 

0.29 

0.38 

0.18 

.:!() 

5.1 

5.0 

0.80 

•  0.22 

0.51 

0.75 

0.35 

0.72 

O.-JS 

0.39 

0.17 

.32 

5.0 

Daj 

•s.  3O 

20 

10 

10 

10 

30 

20 

10 

30 

2O  I 

)ays. 

NOTB.  —  Arg.  48'  =  Arg.  48  —  6.26. 
/  010 


TABLES  LI.-LVII. 


TABLES          LI. 
ARGUMENTS  46. 


LIT. 
47. 


LIII. 

48'. 


LIV. 
49. 


LV. 
5O. 


LVI. 
51. 


LVII. 
52. 


Days.    O           1O 

O 

0 

O 

O          1O 

0 

O         1O    Days. 

IVdVS. 

5.0 

0.80 

0.22 

0.51 

0.75 

0.35 

0.72 

0.28 

0.39 

0.17 

i'.32 

Days. 

5.0 

5.1 

0.80 

0.21 

0.56 

0.73 

0.34 

0.72 

0.27 

0.39 

0.16 

1.34 

4.9 

5.2 

0.80 

0.20 

0.61 

0.71 

0.34 

0.73 

0.26 

0.39 

0.14 

1.36 

4.8 

5.3 

0.80 

0.20 

0.66 

0.69 

0.33 

0.73 

0.25 

0.40 

0.13 

1.39 

4.7 

5.4 

0.80 

0.19 

0.71 

0.67 

0.33 

0.74 

0.24 

0.40 

0.12 

1.41 

4.6 

5.5 

0.80 

0.18 

0.76 

0.65 

0.32 

0.74 

0.23 

0.40 

0.11 

1.43 

4.5 

5.6 

0.80 

0.17 

0.81 

0.63 

0.31 

0.75 

0.23 

0.40 

0.10 

1.45 

4.4 

5.7 

0.80 

0.16 

0.86 

0.61 

0.30 

0.75 

0.22 

0.39 

0.09 

1.47 

4.3 

5.8 

0.80 

0.16 

0.92 

0.59 

0.30 

0.76 

0.21 

0.39 

0.08 

1.50 

4.2 

5.9 

0.80 

0.15 

0.97 

0.57 

0.29 

0.76 

0.20 

0.39 

0.07 

1.52 

4.1 

6.0 

0.80 

0.14 

1.03 

0.55 

0.28 

0.77 

0.19 

0.38 

0.06 

1.54 

4.0 

6.1 

0.80 

0.13 

1.09 

0.53 

0.27 

0.77 

0.18 

0.38 

0.05 

1.56 

3.9 

6.2 

0.80 

0.13 

1.14 

0.51 

0.26 

0.78 

0.17 

0.37 

0.04 

.1.58 

3.8 

6.3 

0.79 

0.12 

1.20 

0.49 

0.25 

0.78 

0.17 

0.36 

0.03 

1.60 

3.7 

6.4 

0.79 

0.12 

1.26 

0.47 

0.24 

0.78 

0.16 

0.35 

0.03 

1.62 

3.6 

6.5 

0.79 

0.11 

1.32 

0.45 

0.23 

0.79 

0.15 

0.34 

0.02 

1.64 

3.5 

6.6 

0.79 

0.10 

1.38 

0.43 

0.22 

0.79 

0.14 

0.33 

0.02 

1.66 

3.4 

6.7 

0.79 

0.10 

1.44 

0.41 

0.21 

0.79 

0.14 

0.32 

0.01 

1.68 

3.3 

6.8 

0.78 

0.09 

1.50 

0.39 

0.20 

0.80 

0.13 

0.31 

0.01 

1.69 

3.2 

6.9 

0.78 

0.09 

1.55 

0.37 

0.19 

0.80 

0.12 

0.30 

0.01 

1.71 

3.1 

7.0 

0.78 

0.08 

1.61 

0.35 

0.18 

0.80 

0.11 

0.29 

0.00 

1.73 

3.0 

7.1 

0.78 

0.08 

1.67 

0.33 

0.17 

0.80 

0.10 

0.28 

0.00 

1.75 

2.9 

'7.2 

0.77 

0.07 

1.72 

0.31 

0.16 

0.80 

0.10 

0.27 

0.00 

1.76 

2.8 

7.3 

0.77 

0.07 

1.78 

0.29 

0.15 

0.80 

0.09 

0.26 

0.00 

1.78 

2.7 

7.4 

0.76 

0.06 

1.83 

0.27 

0.14 

0.80 

0.09 

0.24 

0.00 

1.79 

2.6 

7.5 

0.76 

0.06 

1.88 

0.25 

0.13 

0.80 

0.08 

0.22 

0.00 

1.81 

2.5 

7.6 

0.76 

0.06 

1.93 

0.23 

0.12 

0.80 

0.07 

0.21 

0.00 

1.R2 

2.4 

7.7 

0.75 

0.05 

1.98 

0.21 

0.11 

0.80 

0.07 

0.19 

0.01 

1.84 

2.3 

7.8 

0.75 

0.05 

2.03 

0.20 

0.11 

0.80 

0.06 

0.18 

0.01 

1.85 

2.2 

7.9 

0.74 

0.04 

2.07 

0.18 

0.10 

0.80 

0.06 

0.16 

0.01 

1.87 

2.1 

8.0 

0.74 

0.04 

2.12 

0.16 

0.09 

0.80 

0.05 

0.15 

0.01 

1.88 

2.0 

8.1 

0.73 

0.04 

2.16 

0.15 

0.08 

0.80 

0.05 

0.14 

0.02 

1.89 

1.9 

8.2 

0.73 

0.03 

2.20 

0.13 

0.07 

0.80 

0.01 

013 

0.02 

1.90 

1.8 

8.3 

0.72 

0.03 

2.24 

0.12 

007 

0.80 

0.04 

O.il 

0.03 

1.91 

1.7 

8.4 

0.72 

0.02 

2.28 

0.10 

0.06 

0.79 

0.03 

0.10 

0.03 

1.92 

1.6 

8.5 

0.71 

0.02 

2.32 

0.09 

0.05 

0.79 

0.03 

0.09 

0.04 

1.93 

1.5 

8.6 

0.70 

0.02 

2.35 

0.08 

0.04 

0.79 

0.02 

0.08 

0.05      1.94 

1.4 

8.7 

0.70 

0.02 

2.38 

0.07 

0.04 

0.79 

0.02 

0.07 

0.05;     1.95 

1.3 

8.8 

0.69 

0.01 

2.41 

0.06 

0.03 

0.78 

0.02 

0.06 

0.06 

1.96 

1.2 

8.9 

0.69 

0.01 

2.44 

0.05 

0.03 

0.78 

0.01 

0.05 

0.07 

1.96 

1.1 

9.0 

0.68 

0.01 

2.47 

0.04 

0.02 

0.78 

0.01 

0.04 

0.08 

1.97 

1.0 

9.1 

0.67 

0.01 

2.49 

0.03 

0.02 

0.77 

0.01 

0.03 

0.09      1.97 

0.9 

9.2 

0.67 

0.01 

2.51 

0.03 

0.02 

0.77 

0.01 

0.03 

0.10 

1.98 

0.8 

9.3 

0.66 

0.00 

2.53 

0.02 

0.01 

0.76 

0.01 

0.02 

0.11 

1.98 

0.7 

9.4 

0.66 

0.00 

2.55 

0.02 

0.01 

0.76 

0.00 

0.02 

0.13 

1.99 

0.6 

9.5 

0.65 

0.00 

2.57 

0.01 

0.01 

0.75 

0.00 

0.01 

0.14 

1.99 

0.5 

9.6 

0.64 

0.00 

2.58 

0.01 

0.01 

0.75 

0.00 

0.01 

0.15 

1.99 

0.4 

9.7 

0.63 

0.00 

2.59 

0.01 

0.00 

0.74 

0.00 

0.01 

0.16      2.00 

0.3 

9.8 

0.63 

0.00 

2.59 

0.00 

0.00 

0.74 

0.00 

0.00 

0.18 

2.00 

0.2 

9.9 

0.62 

0.00 

2.60 

0.00 

0.00 

0.73 

0.00 

0.00 

0.19 

2.00 

0.1 

10.0 

0.61 

0.00 

2.60 

0.00 

0.00 

0.73 

0.00 

0.00 

0.21 

2.00 

0.0 

Days.  3O       2O 

10 

10 

10 

3O       2O 

10 

3O       2O  Days. 

NOTE.  —  Arg.  48'  =  Are.  48  —  6.26. 
213 


TABLES   LVIII.-LXII. 


TABLES 

ARGUMENTS 


LVIII. 
S3. 


LIX. 
54. 


LX. 

an. 


LXI. 
56. 


LXII. 
St. 


Days 

.     0 

10 

30 

30 

40 

SO 

O 

0 

O 

O    I 

)ays. 

Days. 

0.0 

5.19 

4.92 

4.00 

2.69 

n 

1.35 

0.37 

0.64 

0.01 

0.65 

0.88 

Hays. 

10.0 

0.1 

5.19 

4.91 

3.99 

2.67 

1.34 

0.36 

0.73 

0.00 

0.68 

0.80 

9.9 

0.2 

5.19 

4.91 

3.98 

2.66 

1.33 

0.36 

0.83 

0.00 

0.71 

0.71 

9.8 

0.3 

5.19 

4.90 

3.97 

2.65 

1.31 

0.35 

0.92 

0.00 

0.75 

0.6-2 

9.7 

0.4 

5.19 

4.90 

3.95 

2.63 

1.30 

0.34 

1.02 

0.01 

0.78 

0.53 

9.6 

0.5 

5.19 

4.89 

3.94 

2.62 

1.29 

0.34 

.12 

0.02 

0.81 

0.45 

9.5 

0.6 

5.20 

4.88 

3.93 

2.61 

1.28 

0.33 

.22 

0.04 

0.84 

0.37 

9.4 

0.7 

5.20 

4.87 

3.92 

2.59 

1.27 

0.32 

.32 

0.05 

0.87 

0.30 

9.3 

0.8 

5.20 

4.87 

3.91 

2.58 

1.25 

0.32 

.42 

0.07 

0.91 

0.23 

9.2 

0.9 

5.20 

4.86 

3.89 

2.57 

1.24 

0.31 

.52 

0.10 

0.94 

0.17 

9.1 

1.0 

5.20 

4.85 

3.88 

2.55 

1.23 

0.30 

.61 

0.12 

0.97 

0.12 

9.0 

1.1 

5.20 

4.84 

3.87 

2.54 

1.22 

0.30 

.70 

0.15 

1.00 

0.08 

8.9 

1.2 

5.20 

4.84 

3.86 

2.52 

1.21 

0.29 

1.79 

0.19 

1.03 

0.04 

8.8 

1.3 

5.20 

4.83 

3.85 

2.51 

1.19 

0.28 

1.88 

0.22 

1.06 

0.02 

8.7 

1.4 

5.20 

4.83 

3.83 

2.50 

1.18 

0.28 

1.96 

0.26 

1.09 

0.01 

8.6 

1.5 

5.20 

4.82 

3.82 

2.48 

1.17 

0.27 

2.03 

0.30 

1.12 

0.00 

8.5 

1.6 

5.20 

4.81 

3.81 

2.47 

1.16 

0.26 

2.10 

0.35 

1.15 

0.00 

8.4 

1.7 

5.->0 

4.80 

3.80 

2.45 

1.15 

0.26 

2.16 

0.39 

1.17 

0.01 

8.3 

1.8 

5.20 

4.80 

3.79 

2.44 

1.13 

0.25 

2.22 

0.44 

1.20 

0.04 

8.2 

'   1.9 

5.20 

4.79 

3.77 

2.43 

1.12 

0.24 

2.27 

0.49 

1.22 

0.08 

8.1 

2.0 

5.20 

4.78 

3.76 

2.41 

1.11 

0.24 

2.31 

0.54     • 

1.24 

0.12 

8.0 

2.1 

5.20 

4.77 

3.75 

2.40 

1.10 

0.23 

2.34 

0.59 

1.26 

0.17 

7.9 

2.2 

5.20 

4.76 

3.74 

2.38 

1.09 

0.22 

2.37 

0.65 

1.28 

0.23 

7.8 

2.3 

5.20 

4.76 

3.72 

2.37 

1.08 

0.22 

2.39 

0.70 

1.30 

0.29 

7.7 

2.4 

5.20 

4.75 

3.71 

2.36 

1.07 

0.21 

2.40 

0.76 

1.31 

0.36 

7.6 

2.5 

5.20 

4.74 

3.70 

2.34 

1.06 

0.20 

2.40 

0.82 

1.33 

0.44 

7.5 

2.6 

5.19 

4.73 

3.68 

2.33 

1.04 

0.20 

2.39 

0.88 

1.34 

0.52 

7.4 

2.7 

5.19 

4.73 

3.67 

2.31 

1.03 

0.19 

2.37 

0.94 

1.35 

().(!() 

7.3 

2.8 

5.19 

4.72 

3.66 

2.30 

1.02 

0.19 

2.35 

.00 

1.36 

0.69 

7.2 

2.9 

5.19 

4.71 

3.64 

2.29 

1.01 

0.18 

2.32 

.06 

1.37 

0.78 

7.1 

3.0 

5.19 

4.70 

3.63 

2.27 

1.00 

0.18 

2.28 

.12 

1.38 

0.87 

7.0 

3.1 

5.19 

4.69 

3.62 

2.26 

0.99 

0.17 

2.23 

.17 

1.38 

0.96 

(i!) 

3.2 

5.19 

4.68 

3.60 

2.24 

0.98 

0.17 

2.18 

.23 

1.39 

.04 

6.8 

3.3 

5.18 

4.67 

3.59 

2.23 

0.97 

0.16 

2.12 

1.28 

1.40 

.12 

6.7 

3.4 

5.18 

4.66 

3.58 

2.22 

0.96 

0.16 

2.05 

1.33 

1.40 

.20 

6.6 

3.5 

5.18 

4.65 

3.56 

2.20 

0.95 

0.15 

1.98 

1.38 

1.39 

.28 

6.5 

3.6 

5.18 

4.65 

3.55 

2.19 

0.93 

0.15 

1.90 

1.42 

1.39 

.35 

6.4 

3.7 

5.18 

4.64 

.-{..-)  t 

2.17 

0.92 

0.14 

1.82 

1.47 

1.38 

.41 

6.3 

3.8 

5.17 

4.63 

3.52 

2.16 

0.91 

0.14 

1.73 

1.51 

1.88 

.46 

6.2 

3.9 

5.17 

4.62 

3.51 

2.15 

0.90 

0.13 

1.64 

1.55 

1.37 

.50 

6.1 

4.0 

5.17 

4.61 

3.50 

2.13 

0.89 

0.13 

1.54 

1.59 

1.37 

.54 

6.0 

4.1 

5.17 

4.60 

3.48 

2.12 

0.88 

0.12 

1.45 

1.63 

1.36 

.57 

5.9 

4.2 

5.17 

4.59 

3.47 

2.10 

0.87 

0.12 

1.35 

1.66 

1.35 

.59 

5.8 

4.3 

5.16 

4.58 

3.46 

2.09 

0.86 

0.11 

1.25 

1.69 

1.34 

.60 

5.7 

4.4 

5.16 

4.57 

3.44 

2.08 

0.85 

0.11 

1.15 

1.72 

1.32 

.60 

5.6 

4.5 

5.16 

4.57 

3.43 

2.06 

0.84 

0.10 

1.05 

1.71 

1.31 

1.59 

5.5 

4.6 

5.16 

4.56 

3.42 

2.05 

0.83 

0.10 

0.95 

1.76 

1.29 

1.57 

5.4 

I  ' 

5.16 

i.:,:, 

3.40 

2.03 

O.s-J 

0.10 

0.85 

1.77 

1.27 

1.54 

5.3 

4.8 

5.15 

i.r.l 

:t.:ti» 

2.02 

O.S1 

0.09 

0.76 

1.78 

1.25 

1.50 

5.2 

4.9 

5.15 

4.53 

:{.:(N 

2.01 

0.80 

0.09 

0.67 

1.79 

1.23 

1.45 

5.1 

5.0 

5.15 

4.52 

3.37 

1.99 

0.79 

0.09 

0.58 

l.so 

1.21 

1.39 

5.0 

Days. 

110 

100 

OO 

80 

70 

60 

10 

10 

10 

10  r 

ays. 

214 


TABLES   LVIII.-LXII. 


TABLES 

ARGUMENTS 


LVIII. 
S3. 


LIX. 
54. 


LX. 
55. 


LXI. 
56. 


LXII. 
57. 


Days.    O        1O      20       3O      4O       5O 

O 

O 

O 

O     Days. 

Days. 

n 

_ 

„ 

//           1            // 

II 

. 

t 

Days. 

5.0 

5.15 

4.52 

3.37 

1.99|     0.79 

0.09 

0.58 

1.80 

1.21 

1.39 

5.0 

5.1 

5.15 

4.51 

3.35 

1.98 

0.78 

0.08 

0.50 

1.80 

1.19 

1.33 

4.9 

5.2 

5.14 

4.50 

3.34 

1.97 

0.77 

0.08 

0.42 

1.80 

1.16 

1.26 

4.8 

5.3 

5.14 

4.49 

3.33 

1.95 

0.76 

0.08 

0.35 

1.79 

1.14 

1.18 

4.7 

5.4 

5.14 

4.48 

3.31 

1.94 

0.75 

0.07 

0.28 

1.78 

1.11 

1.10 

4.6 

5.5 

5.14 

4.48 

3.30 

1.93 

0.74 

0.07 

0.22 

1.77 

1.08 

1.02 

4.5 

5.6 

5.13 

4.47 

3.29 

1.91 

0.73 

0.07 

0.17 

1.75 

1.05 

0.94 

4.4 

5.7 

5.13 

4.46 

3.27 

1.90 

0.72 

0.06 

0.12 

1.72 

1.02 

0.85 

4.3 

5.8 

5.13 

4.45 

3.26 

1.89 

0.71 

0.06 

0.08 

1.70 

0.99 

0.76 

4.2 

5.9 

5.12 

4.44 

3.24 

1.87 

0.70 

0.06 

0.05 

1.67 

0.96 

0.67 

4.1 

6.0 

5.12 

4.43 

3.23 

1.86 

0.69 

0.06 

0.02 

1.64 

0.93 

0.58 

4.0 

6.1 

5.12 

4.42 

3.22 

1.85 

0.68 

0.06 

0.01 

1.61 

0.90 

0.50 

3.9 

6.2 

5.11 

4.41 

3.20 

1.83 

0.67 

0.05 

0.00 

1.57 

0.87 

0.42 

3.8 

6.3 

5.11 

4.40 

3.19 

1.82 

0.66 

0.05 

0.00 

1.54 

0.83 

0.34 

3.7 

6.4 

5.10 

4.39 

3.18 

1.81 

0.65 

0.05 

0.01 

1.50 

0.80      . 

0.27 

3.6 

6.5 

5.10 

4.38 

3.16 

1.79 

0.64 

0.05 

0.03 

1.46 

0.77 

0.21 

3.5 

6.6 

5.10 

4.37 

3.15 

1.78 

0.64 

0.05 

0.05 

1.41 

0.74 

0.15 

3.4 

6.7 

5.09 

4.36 

3.14 

1.77 

0.63 

0.04 

0.09 

1.36 

0.70 

0.11 

3.3 

6.8 

5.09 

4.35 

3.12 

1.75 

0.62 

0.04 

0.13 

1.31 

0.67 

0.07 

3.2 

6.9 

5.08 

4.34 

3.11 

1.74 

0.61 

0.04 

0.18 

1.26 

0.63 

0.04 

3.1 

7.0 

5.08 

4.33 

3.10 

1.73 

0.60 

0.04 

0.24 

1.21 

0.60 

0.01 

3.0 

7.1 

5.08 

4.32 

3.08 

1.72 

0.59 

0.04 

0.30 

1.15 

0.57 

0.00 

2.9 

7.2 

5.07 

4.31 

3.07 

1.70 

0.58 

0.03 

0.37 

1.09 

0.54 

0.00 

2.8 

7.3 

5.07 

4.30 

3.06 

1.69 

0.57 

0.03 

0.44 

1.03 

0.50 

0.01 

2.7 

7.4 

5.06 

4.29 

3.04 

1.68 

0.57 

0.03 

0.52 

0.97 

0.47 

0.03 

2.6 

7.5 

5.06 

4.28 

3.03 

1.66 

0.56 

0.03 

0.60 

0.91 

0.44 

0.06 

2.5 

7.6 

5.05 

4.26 

3.02 

1.65 

0.55 

0.03 

0.69 

0.85 

0.41 

0.08 

2.4 

7.7 

5.05 

4.25 

3.00 

1.64 

0.54 

0.03 

0.78 

O.SO 

0.38 

0.14 

2.3 

7.8 

5.04 

4.24 

2.99 

1.62 

0.53 

0.02 

0.88 

0.74 

0.35 

0.19 

2.2 

7.9 

5.04 

4.23 

2.98 

1.61 

0.53 

0.02 

0.98 

0.69 

0.33 

0.25 

2.1 

8.0 

5.03 

4.22 

2.96 

1.60 

0.52 

0.02 

1.08 

0.64 

0.30 

0.32 

2.0 

8.1 

5.03 

4.21 

2.95 

1.58 

0.51 

0.02 

1.18 

0.59 

0.27 

0.39 

1.9 

8.2 

5.02 

4.20 

2.93 

1.57 

0.50 

0.02 

1.28 

0.53 

0.25 

0.47 

1.8 

8.3 

5.02 

4.19 

2.92 

1.56 

0.50 

0.02 

1.38 

0.48 

0.22 

0.55 

1.7 

8.4 

5.01 

4.18 

2.91 

1.54 

0.49 

0.02 

1.48 

0.43 

0.20 

0.64 

1.6 

8.5 

5.01 

4.17 

2.89 

1.53 

0.48 

0.01 

1.58 

0.38 

0.18 

0.72 

1.5 

8.6 

5.00 

4.15 

2.88 

1.52 

0.47 

0.01 

1.67 

0.34 

0.16 

0.81 

1.4 

8.7 

5.00 

4.14 

2.86 

1.50 

0.46 

0.01 

1.76 

0.30 

0.14 

0.90 

1.3 

8.8 

4.99 

4.13 

2.85 

1.49 

0.46 

0.01 

1.85 

0.26 

0.12 

0.99 

1.2 

8.9 

4.99 

4.12 

2.84 

1.48 

0.45 

0.01 

1.93 

0.22 

0.10 

1.08 

1.1 

9.0 

4.98 

4.11 

2.82 

1.47 

0.44 

0.01 

2.01 

0.18 

0.08 

1.16 

1.0 

9.1 

4.97 

4.10 

2.81 

1.46 

0.43 

0.01 

2.08 

0.15 

0.07 

1.23 

0.9 

9.2 

4.97 

4.09 

2.80 

1.45 

0.42 

0.01 

2.14 

0.12 

0.05 

1.30 

0.8 

9.3 

4.96 

4.08 

2.78 

1.43 

0.42 

0.01 

2.20 

0.10 

0.04 

1.37 

0.7 

9.4 

4.96 

4.07 

2.77 

1.42 

0.41 

0.00 

2.25 

0.07 

0.03 

1.43 

0.6 

9.5 

4.95 

4.06 

2.76 

1.41 

0.40 

0.00 

2.29 

0.05 

0.02 

1.48 

0.5 

9.6 

4.94 

4.04 

2.74 

1.40 

0.40 

0.00 

2.33 

0.03 

0.01 

1.52 

0.4 

9.7 

4.94 

4.03 

2.73 

1.39 

0.39 

0.00 

2.36 

0.02 

0.01 

1.55 

0.3 

9.8 

4.93 

4.02 

2.72 

1.37 

0.38 

0.00 

2.38 

0.01 

0.00 

1.58 

0.2 

9.9 

4.93 

4.01 

2.70 

1.36 

0.38 

0.00 

2.39 

0.00 

0.00 

1.59 

0.1 

10.0 

4.92 

4.00 

2.69 

1.35 

0.37 

0.00 

2.40 

0.00 

0.00 

1.60 

0.0 

Days.   HO    1OO     9O       8O      7O       GO 

1O 

10 

10 

1O   Days. 

215 


TABLES  LXIII.-LXrX. 


TABLES       LXIII.  LXIV. 

ARGUMENTS  58.  59. 


LXV.  LXVI.      LXVII.        LXVIII.  LXIX. 

CO.  61.  62.  63.  64. 


Days.    O 

O        1O 

O          1O 

0 

0 

O 

O         1O    Days. 

Days. 

0.0 

0.78 

i'.20 

6.62 

0.08 

0.78 

0.01 

0.08 

0.27 

0.58 

6  35 

Hiys. 

10.0 

0.1 

0.79 

1.20 

0.61 

0.09 

0.77 

0.02 

0.10 

0.26 

0.58 

0.35 

9.9 

0.2 

0.81 

1.20 

0.60 

0.09 

0.77 

0.03 

0.12 

0.24 

0.58 

0.34 

9.8 

0.3 

0.82 

1.20 

0.59 

0.10 

0.76 

0.05 

0.14 

0.23 

0.58 

().:{  l 

9.7 

0.4 

0.84 

1.20 

0.58 

0.11 

0.76 

0.07 

0.16 

0.21 

0.58 

0.33 

9.6 

0.5 

0.85 

1.20 

0.57 

0.12 

0.75 

0.09 

0.18 

0.20 

0.59 

0.33 

9.5 

0.6 

0.86 

1.20 

0.57 

0.13 

0.75 

0.11 

0.20 

0.19 

0.59 

0.32 

9.4 

0.7 

0.88 

1.20 

0.56 

0.13 

0.74 

0.13 

0.23 

0.17 

0.59 

0.32 

9.3 

0.8 

0.89 

1.20 

0.55 

0.14 

0.74 

0.16 

0.25 

0.16 

0.59 

0.31 

9.2 

0.9 

0.91 

1.20 

0.54 

0.15 

0.73 

0.19 

0.28 

0.15 

0.59 

0.31 

9.1 

1.0 

0.92 

1.20 

0.53 

0.16 

0.73 

0.22 

0.31 

0.14 

0.59 

0.30 

9.0 

1.1 

0.93 

1.20 

0.52 

0.17 

0.72 

0.25 

0.34 

0.13 

0.59 

0.30 

8.9 

1.9 

0.94 

1.20 

0.51 

0.18 

0.71 

0.28 

0.37 

0.12 

0.59 

0.29 

8.8 

1.3 

0.95 

1.19 

0.50 

0.19 

0.71 

0.32 

0.39 

0.11 

0.59 

0.29 

8.7 

1.4 

0.96 

1.19 

0.49 

0.20 

0.70 

0.36 

0.42 

0.10 

0.59 

0.28 

8.6 

1.5 

0.97 

1.19 

0.48 

0.21 

0.69 

0.40 

0.44 

0.09 

0.60 

0.28 

8.5 

1.6 

0.97 

1.19 

0.47 

0.22 

0.68 

0.44 

0.46 

0.08 

0.60 

0.-3? 

8.4 

1.7 

0.98 

1.19 

0.46 

0.23 

0.68 

0.47 

0.48 

0.07 

0.60 

0.27 

8.3 

1.8 

0.98 

1.18 

0.45 

0.24 

0.67 

0.51 

0.50 

0.06 

0.60 

0.26 

8.2 

1.9 

0.99 

1.18 

0.44 

0.25 

0.66 

0.55 

0.51 

0.05 

0.60 

0.26 

8.1 

• 

2.0 

0.99 

1.18 

0.43 

0.26 

0.65 

0.59 

0.53 

0.04 

0.60 

0.25 

8.0 

2.1 

0.99 

1.18 

0.42 

0.27 

0.64 

0.62 

0.54 

0.03 

0.60 

0.25 

7.9 

&S 

1.00 

1.17 

0.41 

0.28 

0.63 

0.65 

0.55 

0.03 

0.60 

0.24 

7.8 

2.3 

1.00 

1.17 

0.40 

0.29 

0.62 

0.68 

0.56 

0.02 

0.60 

0.24 

7.7 

2.4 

1.00 

1.17 

0.39 

0.30 

0.61 

0.70 

0.57 

0.02 

0.60 

0.23 

7.6 

2.5 

p.99 

1.16 

0.38 

0.31 

0.60 

0.72 

0.58 

0.01 

0.60 

0.23 

7.5 

2.6 

0.99 

1.16 

0.38 

0.33 

0.59 

0.74 

0.59 

0.01 

0.59 

0.22 

7.4 

2.7 

0.99 

1.16 

0.37 

0.34 

0.58 

0.75 

0.60 

0.01 

0.59 

0.22 

7.3 

2.8 

0.98 

1.15 

0.36 

0.35 

0.57 

0.77 

0.59 

0.00 

0.59 

0.21 

7.2 

2.9 

0.98 

1.15 

0.35 

0.36 

0.56 

0.78 

0.58 

0.00 

0.59 

0.21 

7.1 

3.0 

0.98 

1.15 

0.34 

0.37 

0.55 

0.79 

0.57 

0.00 

0.59 

0.20 

7.0 

3.1 

0.97 

1.14 

0.33 

0.38 

0.54 

0.80 

0.56 

0.00 

0.59 

0.20 

6.9 

3.2 

0.97 

1,14 

0.32 

0.39 

0.53 

0.80 

0.55 

0.00 

0.59 

0.1!) 

6.8 

3.3 

0.96 

1.13 

0.32 

0.40 

0.52 

080 

0.54 

0.00 

0.59 

0.1(1 

6.7 

3.4 

0.96 

1.13 

0.31 

0.41 

0.51 

0.79 

0.53 

0.00 

0.59 

0.1N 

6.6 

3.5 

0.95 

1.13 

0.30 

0.42 

0.50 

0.78 

0.52 

0.00 

0.59 

0.18 

6.5 

3.6 

0.94 

1.12 

0.29 

0.44 

0.49 

0.76 

0.50 

0.00 

0.58 

0.17 

8.4 

3.7 

0.93 

1.12 

0.28 

0.45 

0.48 

0.75 

0.49 

0.01 

0.58 

0.17 

8,3 

:t.s 

0.93 

1.12 

0.28 

0.46 

0.47 

0.73 

0.47 

0.01 

0.68 

0.1(1 

6.S 

3.9 

0.90 

1.11 

0.27 

0.47 

0.46 

0.71 

0.45 

0.01 

0.58 

0.16 

6.1 

4.0 

0.89 

1.11 

0.26 

0.48 

0.45 

0.69 

0.43 

0.02 

0.58 

0.15 

6.0 

4.1 

O.ss 

1.10 

0.25 

0.49 

0.44 

0.66 

0.41 

0.02 

0.58 

0.15 

5.9 

4.2 

0.86 

1.10 

0.24 

0.50 

0.43 

0.63 

0.39 

0.03 

0.5N 

O.I  1 

5.8 

I..'! 

0.85 

1.09 

0.24 

0.51 

0.42 

0.60 

0.36 

0.03 

0.57 

0.11 

5.7 

4.4 

0.84 

1.09 

0.23 

0.52 

0.41 

0.57 

0.34 

0.04 

0.57 

0.13 

5.6 

1  .:. 

0.82 

1.08 

0.22 

0.53 

0.40 

0.54 

0.31 

0.05 

0.57 

0.13 

5.5 

4.6 

0.80 

1.07 

0.21 

0.55 

0.38 

0.50 

0.28 

0.06 

0.57 

0.12 

5.4 

;.-, 

0.79 

1.07 

0.20 

0.56 

0.37 

0.17 

0.2:. 

0.07 

0.57 

0.12 

5.8 

4.8 

0.77 

1.06      0.20 

0.57 

0.36 

0.13 

0.23 

0.08 

0.56 

0.11 

5.2 

1.!) 

0.75 

1.06 

0.19 

0.58 

0.35 

<>.:(!) 

0.21 

0.0!) 

0.56 

0.11 

5.1 

5.0 

o.7:< 

1.05 

0.18 

0.59 

0.34 

0.35 

0.19 

0.10 

0.56 

0.10 

5.0 

Days.   1O 

:w      20 

30       20 

10 

10 

10 

3O       20  Days. 

216 


TABLES  LXIII.-LXIX. 


TABLES       LXIII.  LXIV. 

ARGUMENTS  58.  59. 


LXV.  LXVI.      LXVII.        LXVin. 

6O.  61.  62.  63. 


LXIX. 
64. 


Days.    O 

0        1O 

o       10 

o 

O 

O 

O         1O    Days. 

ii.,'.- 
5.0 

0.73 

1.05 

0.18 

0.59 

0.34 

0.35 

0.19 

0.10 

0.56 

010 

PJIVS. 

5.0 

5.1 

0.71 

i.M 

0.17 

0.60 

0.33 

0.31 

0.17 

0.11 

0.56 

0.10 

4.9 

5.2 

0.69 

1.04 

0.17 

0.61 

0.32 

0.28 

0.15 

0.12 

0.56 

0.09 

4.8 

5.3 

0.68 

1.03 

0.16 

0.62 

0.31 

0.21 

0.13 

0.13 

0.55 

0.09 

4.7 

5.4 

0.66 

1.02 

0.15 

0.63 

0.30 

0.21 

0.11 

0.14 

0.55 

O.U9 

4.6 

5.5 

0.64 

1.02 

0.15 

0.64 

0.29 

0.18 

0.09 

0.15 

0.55 

0.08 

4.5 

5.6 

0.62 

1.01 

0.14 

0.64 

0.27 

0.15 

0.07 

0.16 

0.55 

0.08 

4.4 

5.7 

0.60 

1.00 

0.14 

0.65 

0.26 

0.13 

0.06 

0.18 

0.55 

0.08 

4.3 

5.8 

0.58 

1.00 

0.13 

0.66 

0.25 

0.10 

0.04 

0.19 

0.54 

0.07 

4.2 

5.9 

0.56 

0.99 

0.12 

0.67 

0.24 

0.08 

0.03 

0.21 

0.54 

0.07 

4.1 

6.0 

0.5  1 

0.98 

0.12 

0.68 

0.23 

0.06 

0.02 

0.22 

0.54 

0.07 

4.0 

6.1 

0.52 

0.97 

0.11 

0.69 

0.22 

0.04 

0.01 

0.23 

0.54 

0.07 

3.9 

6.2 

0.50 

0.96 

0.11 

0.70 

0.21 

0.03 

0.01 

0.25 

0.53 

,    0.06 

3.8 

6.3 

0.48 

0.96 

0.10 

0.70 

0.20 

0.02 

0.00 

0.26 

0.53 

0.06 

3.7 

6.4 

0.46 

0.95 

0.10 

0.71 

0.19 

0.01 

0.00 

0.28 

0.53 

0.06 

3.6 

6.5 

0.44 

0.94 

0.09 

0.72 

0.18 

0.00 

0.00 

0.29 

0.52 

0.05 

3.5 

6.6 

0.42 

0.93 

0.09 

0.72 

0.18 

0.00 

0.01 

0.30 

0.52 

0.05 

3.4 

6.7 

0.40 

0.92 

0.08 

0.73 

0.17 

0.01 

0.01 

0.32 

0.52 

0.05 

3.3 

6.8 

0.38 

0.92 

0.08 

0.74 

0.16 

0.01 

0.02 

0.33 

0.51 

0.05 

3.2 

6.9 

0.36 

0.91 

0.07 

0.74 

0.15 

(X02 

0.03 

0.35 

0.51 

0.04 

3.1 

7.0 

0.34 

0.90 

0.07 

0.75 

0.14 

0.03 

0.04 

0.36 

0.50 

0.04 

3.0 

7.1 

0.32 

0.89 

0.06 

0.75 

0.13 

0.05 

0.06 

0.37 

0.50 

0.04 

2.9 

7.2 

0.30 

0.88 

0.06 

0.76 

0.12 

0.07 

0.07 

0.39 

0.49 

0.04 

2.8 

7.3 

0.28 

0.87 

0.05 

0.76 

0.12 

0.09 

0.09 

0.40 

0.49 

0.03 

2.7 

7.4 

0.26 

0.86 

0.05 

0.77 

0.11 

0.11 

0.11 

0.41 

0.48 

0.03 

2.6 

7.5 

0.24 

0.85 

0.04 

0.77 

0.10 

0.13 

0.13 

0.42 

0.48 

0.03 

2.5 

7.6 

0.22 

0.85 

0.04 

0.78 

0.09 

0.16 

0.15 

0.43 

0.47 

0.03 

2.4 

7.7 

0.21 

0.84 

0.04 

0.78 

0.08 

0.19 

0.17 

0.45 

0.47 

0.03 

2.3 

7.8 

0.19 

0.83 

0.03 

0.78 

0.08 

0.22 

0.20 

0.46 

0.46 

0.02 

2.2 

7.9 

0.18 

0.82 

0.03 

0.79 

0.07 

0.25 

0.22 

0.47 

0.46 

0.02 

2.1 

8.0 

0.16 

0.81 

0.03 

0.79 

0.06 

0.29 

0.25 

0.48 

0.45 

0.02 

2.0 

8.1 

0.15 

0.80 

0.03 

0.79 

0.05 

0.32  . 

0.27 

0.49 

0.45 

0.02 

1.9 

8.2 

0.13 

0.79 

0.02 

0.79 

0.05 

0.36 

0.30 

0.50 

0.44 

0.02 

1.8 

8.3 

0.12 

0.78 

0.02 

0.79 

0.04 

039 

0.32 

0.51 

0.44 

0.02 

1.7 

8.4 

0.10 

0.77 

0.02 

0.80 

0.04 

0.43 

0.35 

0.52 

0.43 

0.01 

1.6 

8.5 

0.09 

0.76 

0.02 

0.80 

0.04 

0.47 

0.38 

0.53 

0.43 

0.01 

1.5 

8.6 

0.08 

0.76|     0.02 

0.80 

0.03 

0.51 

0.40 

0.54 

0.42 

0.01 

1.4 

8.7 

0.07 

0.75 

0.01 

0.80 

0.03 

0.54 

0.43 

0.55 

0.42 

0.01 

1.3 

8.8 

0.06 

0.74 

0.01 

0.80 

0.03 

0.58 

0.45 

0.56 

0.41 

0.01 

1.2 

8.9 

0.05 

0.73 

0.01 

0.80 

0.02 

0.61 

0.47 

0.56 

0.41 

0.01 

1.1 

9.0 

0.04 

0.72 

0.01 

0.80 

0.02 

0.64 

0.49 

0.57 

0.40 

0.01 

1.0 

9.1 

0.03 

0.71 

0.01 

0.80 

0.02 

0.67 

0.51 

0.57 

0.40 

0.01 

0.9 

9.2 

0.03 

0.70 

0.01 

0.79 

0.01 

0.69 

0.53 

0.58 

0.39 

0.01 

0.8 

9.3 

0.02 

0.69 

0.01 

0.79 

0.01 

0.72 

0.54 

0.58 

0.39 

0.00 

0.7 

9.4 

0.02 

0.68 

0.00 

0.79 

0.01 

0.74 

0.56 

0.59 

0.38 

0.00 

0.6 

9.5 

0.01 

0.67 

0.00 

0.79 

0.01 

0.76 

0.57 

0.59 

0.38 

0.00 

0.5 

9.6 

0.01 

0.66 

0.00 

0.79 

0.01 

0.77 

0.58 

0.59 

0.37 

0.00 

0.4 

9.7 

0.01 

0.65 

0.00 

0.78 

0.00 

0.78 

0.59 

0.59 

0.37 

0.00 

0.3 

9.8 

0.00 

0.64      0.00 

0.78 

0.00 

0.79 

0.59 

0.60 

0.36 

0.00 

0.2 

9.9 

0.00 

0.63      0.00 

0.78 

0.00 

0.80 

0.60 

0.60 

0.36 

0.00 

0.1 

10.0 

0.00 

0.62      0.00 

0.78 

0.00 

0.80 

0.60 

0.60 

0.35 

0.00 

0.0 

Days.    1O 

3O       SO 

3O       2O 

10 

10 

10 

3O       2O   Days. 

217 


TABLES  LXX.-LXXIV. 


TABLES      LXX.  LXXI.  LXXII. 

ARGUMENTS  65.  66.  67. 


Lxxni. 

68. 


LXXIV. 
69. 


Days.       O 

o      10 

0        10 

O        1O     Days. 

Days.    O        IOO     2OO   Days 

Day* 
0.0 

0.35 

0.38 

0.24 

1.13 

1.66 

0.58 

0.25 

IViv. 

10.0 

Days 

0 

II 

3.65 

II 

4.15 

1.68 

Day*. 
100 

0.1 

0.34 

0.38 

0.23 

1.15 

1.61 

0.56 

0.26 

9.9 

1 

3.67 

4.1 

1.65 

99 

0.2 

0.32 

0.38 

0.23 

1.17 

1.62 

0.55 

0.27 

9.8 

2 

3.69 

4.1: 

1.62 

98 

0.3 

0.31 

0.38 

0.23 

1.19 

1.61 

0.53 

0.29 

9.7 

J 

3.71 

4.11 

L6( 

97 

0.4 

0.29 

0.38 

0.22 

1.22 

1.59 

0.52 

0.30 

9.6 

4 

3.73 

4.10 

1.57 

96 

0.5 

0.28 

0.38 

0.22 

1.24 

1.57 

0.50 

0.31 

9.5 

5 

3.75 

4.08 

1.54 

95 

0.6 

0.26 

0.39 

0.22 

1.26 

1.55 

0.49 

0.33 

9.4 

6 

3.77 

4.07 

1.51 

94 

0.7 

0.24 

0.39 

0.21 

1.28 

1.53 

0.47 

0.34 

9.3 

7 

3.79 

4.05 

1.48 

93 

0.8 

0.23 

0.39 

0.21 

1.31 

1.51 

0.46 

0.35 

9.2 

8 

3.81 

4.04 

1.46 

92 

0.9 

0.21 

0.39 

0.20 

1.33 

1.49 

0.44 

0.37 

9.1 

9 

3.83 

4.02 

1.43 

91 

1.0 

0.19 

0.39 

0.20 

1.35 

1.47 

0.43 

0.38 

9.0 

10 

3.85 

4.00 

1.40 

90 

1.1 

0.17 

0.39 

0.20 

1.37 

1.45 

0.41 

0.39 

8.9 

11 

3.87 

3.98 

1.37 

89 

1.2 

0.16 

0.39 

0.19 

1.39 

1.48 

0.40 

0.41 

88 

12 

3.89 

3.97 

1.34 

88 

1.3 

0.14 

0.39 

0.19 

1.41 

1.41 

0.38 

0.42 

8.7 

13 

3.90 

3.95 

1.32 

87 

1.4 

0.13 

0.39 

0.19 

1.43 

1.39 

0.37 

0.44 

8.6 

14 

3.92 

3.93 

1.29 

86 

1.5 

0.11 

0.40 

0.18 

1.46 

1.37 

0.36 

0.45 

8.5 

15 

3.94 

3.91 

1.26 

85 

1.6 

0.10 

0.40 

0.18 

1.48 

1.34 

0.34 

0.47 

8.4 

16 

3.96 

3.89 

1.24 

84 

1.7 

0.08 

0.40 

0.18 

1.50 

1.32 

0.33 

0.48 

8.3 

17 

3.98 

3.88 

1.21 

83 

1.8 

0.07 

0.40 

0.17 

1.52 

1.30 

0.31 

0.50 

8.2 

18 

3.99 

3.86 

1.18 

82 

1.9 

0.05 

0.40 

0.17 

1.54 

1.28 

0.30 

0.51 

8.1 

19 

4.01 

3.84 

1.16 

81 

2.0 

0.04 

0.40 

0.17 

1.56 

1.26 

0.29 

0.53 

8.0 

20 

4.03 

3.82 

1.13 

80 

2.1 

0.03 

0.40 

0.16 

1.58 

1.24 

0.28 

0.55 

7.9 

21 

4.05 

3.80 

1.11 

79 

2.2 

0.03 

0.40 

0.16 

1.59 

1.22 

0.26 

0.56 

7.8 

22 

4.07 

3.78 

1.08 

78 

2.3 

0.02 

0.40 

0.16 

1.61 

1.19 

0.25 

0.58 

7.7 

23 

4.08 

3.76 

1.06 

77 

2.4 

0.02 

0.40 

0.15 

1.63 

1.17 

0.24 

0.59 

7.6 

24 

4.10 

3.74 

1.03 

76 

2.5 

0.01 

0.40 

0.15 

1.64 

1.15 

0.23 

0.61 

7.5 

25 

4.11 

3.72 

1.00 

75 

2.6 

0.01 

0.40 

0.15 

1.66 

1.12 

0.21 

0.63 

7.4 

26 

4.13 

3.69 

0.98 

74 

2.7 

0.01 

0.40 

0.14 

1.68 

1.10 

0.20 

0.64 

7.3 

27 

4.14 

3.67 

0.95 

73 

2.8 

0.00 

0.40 

0.14 

1.69 

1.08 

0.19 

0.66 

7.2 

28 

4.16 

3.65 

0.93 

72 

2.9 

0.00 

0.40 

0.14 

1.71 

1.05 

0.18 

0.67 

7.1 

29 

4.17 

3.63 

0.91 

71 

3.0 

0.00 

0.40. 

0.13 

1.73 

1.03 

0.17 

0.69 

7.0 

30 

4.18 

3.61 

0.89 

70 

3.1 

0.01 

0.40 

0.13 

1.75 

1.01 

0.16 

0.70 

6.9 

31 

4.19 

3.59 

O.N7 

69 

3.2 

0.01 

0.40 

0.13 

1.76 

0.98 

0.15 

0.72 

6.8 

32 

4.20 

3.56 

0.81 

68 

3.3 

0.02 

0.40 

0.12 

1.78 

0.96 

0.14 

0.73 

6.7 

33 

4.22 

3.54 

0.82 

67 

3.4 

0.03 

0.40 

0.12 

1.79 

0.94 

0.13 

0.75 

6.6 

34 

4.23 

3.52 

0.80 

66 

3.5 

0.04 

0.40 

0.12 

1.81 

0.91 

0.12 

0.76 

6.5 

35 

4.24 

3.49 

0.78 

65 

3.6 

0.05 

0.39 

0.11 

1.82 

0.89 

0.11 

0.78 

6.4 

36 

4.25 

3.47 

0.76 

64 

3.7 

0.06 

0.39 

0.11 

1.83 

0.87 

0.11 

0.79 

6.3 

37 

4.26 

3.44 

0.73 

63 

3.8 

0.08 

0.39 

0.11 

I  .sr, 

0.84 

0.10 

0.81 

6.2 

38 

4.27 

3.42 

0.71 

62 

3.9 

0.09 

0.39 

0.10 

1.86 

0.82 

0.09 

0.82 

6.1 

39 

4.28 

3.39 

O.(i9 

61 

4.0 

0.10 

0.39 

0.10 

1.87 

0.80 

0.08 

0.84 

6.0 

40 

4.29 

3.37 

0.67 

60 

4.1 

0.12 

0.39 

0.10 

1.88 

0.78 

0.07 

0.85 

5.9 

41 

4.30 

3.35 

0.65 

59 

4.2 

0.13 

0.39 

0.09 

1.89 

0.76 

0.07 

0.87 

5.8 

42 

4.31 

3.  32 

0.68 

58 

4.3 

0.15 

0.39 

0.09 

L90 

0.74 

0.06 

0.88 

5.7 

43 

481 

3.30 

0.61 

57 

4.4 

0.17 

0.39 

0.09 

1.91 

0.71 

0.05 

0.90 

5.6 

44 

489 

3.27 

0.59 

56 

4.5 

0.19 

0.39 

0.08 

1.92 

0.69 

0.05 

0.91 

5.5 

40 

4.33 

3.25 

0.57 

55 

4.6 

021 

0.38 

0.08 

1.93 

0.67 

0.04 

0.93 

5.4 

46 

•1.33 

3.22 

0.55 

54 

4.7 

0.22    • 

0.38 

0.08 

1.94 

0.65 

0.04 

0.94 

r>..'i 

47 

434 

3.19 

0.53. 

53 

4.8 

0.24 

0.38 

0.07 

1.94 

0.63 

0.03 

0.96 

5.2 

48 

486 

8.17 

0.51 

52 

4.9 

0.25 

0.38 

0.07 

1.95 

0.61 

0.03 

0.97 

5.1 

49 

i.:i.> 

3.14 

0.49 

51 

5.0 

0.27 

0.38 

0.07 

1.96 

0.59 

0.02 

0.99 

5.0 

50 

•1.3  i 

3.1  1 

0.47 

50 

Days.      1O 

3O        24> 

:to      20 

3O      20     Days. 

Days.  .1OO      1OO     3OO  Days. 

218 


TABLES  LXX.-LXXIV. 


TABLES      LXX.  LXXI. 

ARGUMENTS  65.  66. 


LXXII. 
61. 


LXXIII. 
6§. 


LXXIV. 
69. 


Days 

.   O 

O 

1O 

O 

1O 

O 

IO 

Days. 

Day 

s.  O 

100 

20O 

Days. 

Davs 

II 

I 

Days 

1  Day, 

// 

• 

ii 

Days. 

5.0 

6.27 

0.38 

0.07 

1.96 

0.59 

0.02 

0.99 

5.0 

50 

4.36 

3.11 

0.47 

50 

5.1 

0.28 

0.3S 

0.07 

1.96 

0.57 

0.02 

1.00 

4.9 

51 

4.36 

3.08 

0.45 

49 

5.2 

0.30 

0.38 

0.06 

1.97 

0.55 

0.02 

1.02 

4.8 

52 

4.37 

3.06 

0.44 

48 

5.3 

0.31 

0.37 

0.06 

1.97 

0.53 

0.01 

1.03 

4.7 

53 

4.37 

3.03 

0.42 

47 

5.4 

0.33 

0.37 

0.06 

1.98 

0.51 

0.01 

1.05 

4.6 

54 

4.38 

3.00 

0.41 

46 

5.5 

0.34 

0.37 

0.06 

1.98 

0.49 

0.01 

1.06 

4.5 

55 

4.38 

2.98 

0.39 

45 

5.6 

0.35 

0.37 

0.06 

1.98 

0.47 

0.01 

1.07 

4.4 

56 

4.39 

2.95 

0.38 

44 

5.7 

0.36 

0.37 

0.05 

1.99 

0.45 

0.00 

1.09 

4.3 

57 

4.39 

2.92 

0.36 

43 

5.8 

0.37 

0.36 

0.05 

1.99 

6.43 

0.00 

1.10 

4.2 

58 

4.39 

2.90 

0.34 

42 

5.9 

0.38 

0.36 

0.05 

2.00 

0.41 

0.00 

1.12 

4.1 

59 

4.40 

2.87 

0.33 

41 

6.0 

0.39 

0.36 

0.05. 

2.00 

0.39 

0.00 

1.13 

4.0 

60 

4.40 

2.84 

0.31 

40 

6.1 

0.39 

0.36 

0.05 

2.00 

0.37 

0.00 

1.14 

3.9 

61 

4.40 

2.81 

0.29 

39 

6.2 

0.39 

0.35 

0.05 

2.00 

0.35 

0.00 

1.15 

38 

62 

4.40 

2.78 

0.28 

38 

6.3 

0.40 

0.35 

0.04 

2.00 

0.34 

0.00 

1.17 

3.7 

63 

4.40 

2.75 

0.26 

37 

6.4 

0.40 

0.35 

0.04 

2.00 

0.32 

0.00 

1.18 

3.6 

64 

4.40 

2.73 

0.25 

36 

6.5 

0.40 

034 

0.04 

2.00 

0.30 

0.00 

1.19 

3.5 

65 

4.40 

2.70 

0.23 

35 

6.6 

0.39 

0.34 

0.04 

2.00 

0.29 

0.00 

1.20 

3.4 

66 

4.40 

2.67 

0.22 

34 

6.7 

0.39 

0.34 

0.04 

1.99 

0.27 

0.01 

1.21 

3.3 

67 

4.39 

2.64 

0.20 

33 

6.8 

0.38 

0.33 

0.04 

1.99 

0.26 

0.01 

1.23 

3.2 

68 

4.39 

2.61 

0.19 

32 

6.9 

0.38 

0.33 

0.03 

1.99 

0.24 

0.01 

1.24 

3.1 

69 

4.39 

2.58 

0.18 

31 

7.0 

0.37 

0.33 

0.03 

1.99 

0.23 

0.01 

1.25 

3.0 

70 

4.39 

2.55 

0.17 

30 

7.1 

0.36 

0.33 

003 

1.98 

0.21 

0.01 

1.26 

2.9 

71 

4.38 

2.52 

0.16 

29 

7.2 

0.35 

0.32 

0.03 

1.98 

0.20 

0.02 

1.27 

2.8 

72 

4.38 

2.49 

0.15 

28 

7.3 

0.34 

0.32 

0.03 

1.97 

0.18 

0.02 

1.28 

2.7 

73 

4.38 

2.46 

,  0.14 

27 

7.4 

0.32 

0.32 

0.02 

1.97 

0.17 

0.02 

1.28 

2.6 

74 

4.37 

2.43 

0.13 

26 

7.5 

0.31 

0.31 

0.02 

1.96 

0.16 

0.03 

1.29 

2.5 

75 

4.37 

2.41 

0.12 

25 

7.6 

0.29 

0.31 

0.02 

1.95 

0.14 

0.03 

1.30 

2.4 

76 

4.36 

2.38 

0.11 

24 

7.7 

0.28 

0.31 

0.02 

1.95 

0.13 

0.04 

1.31 

2.3 

77 

4.36 

2.35 

0.11 

23 

7.8 

0.26 

0.30 

0.02 

1.94 

0.12 

0.04 

1.32 

2.2 

78 

4.36 

2.32 

0.10 

22 

7.9 

0.25 

0.30 

0.01 

1.93 

0.11 

0.05 

1.32 

2.1 

79 

4.35 

2.29 

0.09 

21 

8.0 

0.23 

0.30 

0.01 

1.92 

0.10 

0.06 

1.33 

2.0 

80 

4.35 

2.26 

0.08 

20 

8.1 

0.21 

0.30 

0.01 

1.91 

0.09 

0.07 

1.34 

1.9 

81 

4.34 

2.23 

0.07 

19 

8.2 

0.19 

0.29 

0.01 

1.90 

0.08 

0.07 

1.34 

1.8 

82 

4.33 

2.20 

0.07 

18 

8.3 

0.18 

0.29 

0.01 

1.89 

0.07 

0.08 

1.35 

1.7 

83 

4.33 

2.17 

0.06 

17 

8.4 

0.16 

0.29 

0.01 

1.88 

0.07 

0.09 

1.35 

1.6 

84 

4.32 

2.14 

0.06 

16 

8.5 

0.14 

0.28 

0.01 

1.87 

0.06 

0.10 

1.36 

1.5 

85 

4.31 

2.11 

005 

15 

8.6 

0.13 

0.28 

0.01 

1.86 

0.05 

0.10 

1.36 

1.4 

86 

4.30 

2.09 

0.04 

14 

8.7 

0.11 

0.28 

0.00 

1.84 

0.05 

0.11 

1.37 

1.3 

87 

4.30 

2.06 

0.04 

13 

8.8 

0.10 

0.27 

0.00 

1.83 

0.04 

0.12 

1.37 

1.2 

88 

4.29 

2.03 

0.03 

12 

8.9 

0.08 

0.27 

0.00 

1.82 

0.03 

0.13 

1.38 

1.1 

89 

4.28 

2.00 

0.03 

11 

9.0 

0.07 

0.27 

0.00 

1.81 

0.03 

0.14 

1.38 

1.0 

90 

4.27 

1.97 

0.02 

10 

9.1 

0.06 

0.27 

0.00 

1.80 

0.03 

0.15 

1.38 

0.9 

91 

4.26 

1.94 

0.02 

09 

9.2 

0.05 

0.26 

0.00 

1.79 

0.02 

0.16 

1.39 

0.8 

92 

4.25 

1.91 

0.02 

08 

9.3 

0.04 

0.26 

0.00 

1.77 

0.02 

0.17 

1.39 

0.7 

93 

4.23 

1.88 

0.01 

07 

9.4 

0.03 

0.26 

0.00 

1.76 

0.02 

0.18 

1.39 

0.6 

94 

4.22 

1.85 

0.01 

06 

9.5 

0.02 

0.25 

0.00 

1.74 

0.01 

0.19 

1.39 

0.5 

95 

4.21 

.82 

0.01 

05 

9.6 

002 

0.25 

0.00 

1.73 

0.01 

0.21 

1.39 

0.4 

96 

4.20 

.80 

0.01 

04 

9.7 

0.01 

0.25 

0.00 

1.71 

0.01 

0.22 

1.40 

0.3 

97 

4.19 

.77 

0.00 

03 

9.8 

0.01 

0.24 

0.00 

1.70 

0.00 

0.23 

1.40 

0.2 

98 

4.1K 

.74 

0.00 

02 

9.9 

0.00 

0.24 

0.00 

1.68 

0.00 

0.24 

1.40 

0.1 

99 

4.16 

.71 

0.00 

01 

10.0 

0.00 

0.24 

0.00 

1.66 

0.00 

0.25 

1.40 

0.0 

100 

4.15 

.68 

0.00 

00 

Days 

10 

3O 

20 

3O 

9O 

3O 

SO 

Days. 

Days. 

500 

400 

3OO 

Days.] 

i 

219 


TABLES   LXXV.  LXXVI. 


TABLES 
ARGUMENTS 


LXXV. 

70. 


LXXVI. 
71. 


Days 

.  O 

100 

Days. 

Days. 

O 

100 

2OO 

3OO 

4OO 

.TWO 

Days. 

0 

0.32 

i'.oi 

Days. 

100 

Days. 

0 

II 

1.14 

II 

2.57 

1.93 

1.30 

0.67 

0.03 

1 

0.30 

1.04 

99 

1 

1.16 

2.57 

1.92 

1.30 

0.66 

0.04 

2 

0.28 

1.07 

98 

2 

1.18 

2.58 

1.91 

1.29 

0.65 

0.04 

3 

0.27 

1.09 

97 

3 

1.20 

2.58 

1.90 

.29 

0.64 

0.04 

4 

0.25 

1.12 

96 

4 

1.22 

2.58 

1.89 

.29 

0.63 

0.05 

5 

0.24 

1.15 

95 

5 

1.24 

2.58 

1.88 

.28 

0.62 

0.05 

6 

0.22 

1.18 

94 

6 

1.26 

2.58 

1.87 

.28 

0.60 

0.06 

7 

0.21 

1.21 

93 

7 

1.28 

2.59 

1.86 

.28 

0.59 

0.06 

8 

0.19 

1.23 

92 

8 

1.30 

2.59 

.85 

1.27 

0.58 

0.06 

9 

0.18 

1.26 

91 

9 

1.32 

2.59 

.84 

1.27 

0.57 

0.07 

10 
11 
12 
13 
14 

0.17 
0.16 
0.14 
0.13 
0.12 

1.29 
1.32 
1.35 
1.37 
1.40 

90 

89 
88 
87 
86 

10 
11 
12 
13 
14 

1.34 
1.36 
1.38 
1.40 
1.42 

2.59 
2.59 
2.59 
2.59 
2.59 

.83 

.82 
.81 
1.80 
1.79 

1.27 
1.27 
1.26 
1.26 
1.26 

0.56 
0.55 
0.54 
0.53 
0.52 

0.07 
0.08 
0.08 
0.09 
0.10 

15 

0.11 

1.43 

85 

16 

0.10 

1.46 

84 

15 

.44 

2.59 

1.78 

1.25 

0.51 

0.10 

17 

0.09 

1.49 

83 

16 

.46 

2.58 

1.78 

1.25 

0.49 

0.11 

18 

0.08 

1.51 

82 

17 

.48 

2.58 

1.77 

1.25 

0.48 

0.12 

19 

0.07 

1.54 

81 

18 

.50 

2.58 

1.76 

1.24 

0.47 

0.12 

19 

.52 

2.58 

1.75 

1.24 

0.46 

0.13 

20 

0.06 

1.57 

80 

21 

0.05 

1.60 

79 

20 

1.54 

2.58 

1.74 

1.24 

0.45 

0.14 

22- 

0.05 

1.63 

78 

21 

1.56 

2.58 

1.73 

1.23 

0.44 

0.15 

23 

0.04 

1.65 

•  77 

22 

1.58 

2.57 

1.72 

1.23 

0.43 

0.16 

24 

0.04 

1.68 

76 

23 

1.60 

2.57 

1.71 

1.23 

0.42 

0.17 

24 

1.62 

2.57 

1.71 

1.22 

0.41 

0.18 

25 

0.03 

1.71 

75 

26 

0.03 

1.74 

74 

25 

1.64 

2.56 

1.70 

1.22 

0.40 

0.19 

27 

0.02 

1.77 

73 

26 

.65 

2.56 

1.69 

1.21 

0.39 

0.20 

28 

0.02 

1.79 

72 

27 

.67 

2.56 

1.68 

1.21 

0.38 

0.21 

29 

0.01 

1.82 

71 

28 

.69 

2.55 

1.68 

1.21 

0.37 

0.22 

29 

.71 

2.55 

1.67 

1.20 

0.36 

0.23 

30 

0.01 

1.85 

70 

31 
32 
33 
34 

0.01 
0.00 
0.00 
0.00 

1.88 
1.91 
1.93 
1.96 

69 
68 
67 
66 

30 
31 
32 
33 

.73 
.75 

.77 
.79 

2.55 
2.54 
2.54 
2.53 

1.66 
1.65 
1.64 
1.63 

1.20 
1.19 
1.19 
1.18 

0.35 
0.34 
0.33 
0.32 

0.24 
0.25 
0.26 
0.28 

35 

0.00 

1.99 

65 

34 

.80 

2.53 

1.63 

1.18 

0.31 

0.29 

36 

0.00 

2.01 

64 

87 

0.00 

2.04 

63 

35 

.82 

2.52 

1.62 

1.17 

0.30 

0.30 

38 

0.01 

2.07 

62 

36 

.84 

2.52 

1.61 

1.17 

0.30 

0.32 

39 

0.01 

2.09 

61 

.'(7 

1.86 

2.51 

1.60 

l.Ki 

0.29 

0.33 

38 

1.88 

2.51 

1.59 

1.16 

0.28 

0.34 

40 

0.01 

2.12 

60 

39 

1.89 

2.50 

1.59 

1.15 

0.27 

0.36 

41 

0.02 

2.15 

59 

42 

0.02 

2.17 

58 

40 

1.91 

2.49 

1.58 

1.15 

0.26 

0.37 

43 

0.03 

2.20 

57 

41 

1.93 

2.48 

1.57 

1.14 

0.25 

0.38 

44 

0.03 

2.22 

56 

42 

1.95 

2.48 

1.56 

1.14 

0.24 

0.40 

43 

1.96 

2.47 

1.56 

1  13 

0.24 

0.41 

45 

0.04 

2.25 

55 

44 

1.98 

2.46 

1.55 

1.13 

0.23 

0.43 

46 

0.04 

2.27 

54 

47 

0.05 

2.30 

53 

45 

2.00 

2.46 

1.54 

1.12 

0.22 

0.44 

is 

0.05 

2.32 

52 

46 

2.01 

2.45 

1.54 

1.12 

0.21 

0.46 

49 

0.06 

2.35 

51 

47 

2.03 

2.44 

1.53 

1.11 

0.20 

0.47 

50 

0.06 

2.37 

50 

48 

2.05 

2.44 

1.52 

1.10 

0.20 

0.49 

49 

2.06 

2.43 

1.52 

1.10 

0.19 

0.50 

Day 

s.  300 

900 

Days. 

50 

2.08 

2.42 

1.51 

1.09 

0.18 

0.52 

220 


TABLES   LXXV.  LXXVI. 


TABLES 

ARGUMENTS 


LXXV. 
70. 


LXXVI. 
71. 


Days.   O      IOO    Days. 

Days.    O    100   2OO   3OO   4OO   50O 

Days. 

50 

0.06 

2.37 

Days. 

50 

Days. 

50 

2.08 

2.42 

1.51 

1.09 

U 

0.18 

0.52 

51 

0.07 

2.39 

49 

51 

2.10 

2.41 

1.50 

1.08 

0.17 

0.54 

52 

0.08 

2.41 

48 

52 

2.11 

2.40 

1.50 

1.08 

0.16 

0.55 

53 

0.09 

2.44 

47 

53 

2.13 

2.40 

1.49 

1.07 

0.16 

0.57 

54 

0.10 

2.46 

46 

54 

2.15 

2.39 

1.49 

1.06 

0.15 

0.59 

55 

0.11 

2.48 

45 

55 

2.16 

2.38 

1.48 

1.06 

0.14 

0.60 

56 

0.1-2 

2.50 

44 

56 

2.18 

2.37 

1.47 

1.05 

0.14 

0.62 

57 

0.13 

2.52 

43 

57 

2.19 

2.37 

1.47 

1.04 

0.13 

0.64 

58 

0.15 

2.54 

42 

58 

2.20 

2.36 

1.46 

1.04 

0.12 

0.65 

59 

0.16 

2.56 

41 

59 

2.22 

2.35 

1.46 

1.03 

0.12 

0.67 

60 
61 
62 
63 
64 

0.17 
0.18 
0.19 
0.21 
0.22 

2.58 
2.60 
2.62 
2.64 
2.65 

40 
39 
38 
37 
36 

60 
61 
62 
63 
64 

2.23 
2.24 
2.26 
2.27 
2.28 

2.34 
2.33 
2.32 
2.31 
2.30 

1.45 
1.45 
1.44 
1.44 
1.43 

1.02 
1.01 
1.00 
1.00 
0.99 

0.11 
0.10 
0.10 
0.09 
0.09 

0.69 
0.71 
0.73 
0.74 
0.76 

65 

0.24 

2.67 

35 

66 

0.25 

2.69 

34 

65 

2.30 

2.30 

1.43 

0.98 

0.08 

0.78 

67 

0.27 

2.71 

33 

66 

2.31 

2.29 

1.42 

0.97 

0.07 

0.80 

68 

0.28 

2.72 

32 

67 

2.32 

2.28 

1.42 

0.97 

0.07 

0.82 

69 

0.30 

2.74 

31 

68 

2.34 

2.27 

1.41 

0.96 

0.06 

0.83 

69 

2.35 

2.26 

1.41 

0.95 

0.06 

0.85 

70 

0.32 

2.76 

30 

71 

0.34 

2.77 

29 

70 

2.36 

2.25 

1.40 

0.94 

0.05 

0.87 

72 

0.36 

2.79 

28 

71 

2.37 

2.24 

1.40 

0.93 

0.05 

0.89 

73 

0.38 

2.80 

27 

72 

2.38 

2.23 

1.39 

0.92 

0.04 

0.91 

74 

0.40 

2.81 

26 

73 

2.39 

2.22 

1.39 

0.92 

0.04 

0.93 

74 

2.40 

2.21 

1.38 

0.91 

0.04 

0.95 

75 

0.42 

2.83 

25 

76 

0.44 

2.84 

24 

.75 

2.41 

2.20 

1.38 

0.90 

0.03 

0.96 

77 

0.46 

2.85 

23 

76 

2.42 

2.19 

1.37 

0.89 

0.03 

0.98 

78 

0.48 

2.87 

22 

77 

2.43 

2.18 

1.37 

0.88 

0.03 

1.00 

79 

0.50 

2.88 

21 

78 

2.44 

2.17 

1.37 

0.88 

0.02 

1.02 

79 

2.45 

2.16 

1.36 

0.87 

6.02 

1.04 

80 

0.52 

2.89 

20 

81 
82 
83 
84 

0.54 
0.56 
0.59 
0.61 

2.90 
2.91 
2.92 
2.93 

19 

18 
17 
16 

80 

81 
82 
83 

2.46 
2.47 

2.48 
2.48 

2.15 
2.14 
2.13 
2.12 

1.36 
1.36 
1.35 
1.35 

0.86 
0.85 
0.84 
0.83 

0.02 
0.02 
0.02 
0.02 

1.06 
1.08 
1.10 
1.12 

85 

0.63 

2.93 

15 

84 

2.49 

2.11 

1.35 

0.82 

0.01 

1.14 

86 

0.66 

2.94 

14 

87 

0.68 

2.95 

13 

85 

2.50 

2.10 

1.34 

0.81 

0.01 

1.16 

88 

0.70 

2.96 

12 

86 

2.50 

2.08 

1.34 

0.81 

0.01 

1.18 

89 

0.73 

2.96 

11 

87 

2.51 

2.07 

1.34 

0.80 

0.01 

1.20 

88 

2.52 

2.06 

1.33 

0.79 

0.01 

1.22 

90 

0.75 

2.97 

10 

89 

2.52 

2.05 

1.33 

0.78 

0.01 

1.24 

91 

0.77 

2.97 

09 

92 

0.80 

2.98 

08 

90 

2.53 

2.04 

1.33 

0.77 

0.01 

1.26 

93 

0.82 

2.98 

07 

91 

2.53 

2.03 

1.33 

0.76 

0.01 

1.28 

94 

0.85 

2.98 

06 

92 

2.54 

2.02 

1.32 

0.75 

0.01 

1.30 

93 

2.54 

2.01 

1.32 

0.74 

0.02 

1.32 

95 

0.88 

2.99 

05 

94 

2.55 

2.00 

1.32 

0.73 

0.02 

1.34 

96 

0.90 

2.99 

04 

97 

0.93 

2.99 

03 

95 

2.55 

1.99 

1.31 

0.72 

0.02 

1.36 

98 

0.95 

3.00 

02 

96 

2.56 

1.97 

1.31 

0.71 

0.02 

1.38 

99 

0.9S 

3.00 

01 

97 

2.56 

1.96 

1.31 

0.70 

0.02 

1.40 

100 

1.01 

3.00 

00 

98 

2.56 

1.95 

1.30 

0.69 

0.03 

1.42 

99 

2.57 

1.94 

1.30 

0.68 

0.03 

1.44 

Days.  3OO    3OO    Days. 

100 

2.57 

1.93 

1.30 

0.67 

0.03 

1.46 

221 


TABLES  LXXVII.-LXXIX. 


TABLES 

ARGUMENTS 


LXXVII. 
72. 


LXXVIII. 
73'. 


LXXIX. 
74. 


Days.   O     1OO    MOO    3OO 

Days.     O 

O    1OOO  Days. 

Dajri. 

0 

0.80 

1.50 

0.80 

0.10 

Days. 

0 

3.71 

0.13 

0'.32 

llavn. 

1000 

1 

0.80 

1.50 

0.78 

0.11 

10 

3.64 

0.12 

0.33 

990 

2 

0.81 

1.51 

0.77 

0.12 

20 

3.57 

0.12 

0.34 

980 

3 

0.81 

1.51 

0.75 

0.12 

30 

3.50 

0.11 

0.35 

970 

4 

0.82 

1.52 

0.73 

0.13 

40 

3.42 

0.10 

0.36 

960 

5 

0.82 

1.52 

0.72 

0.14 

50 

3.34 

0.10 

0.36 

950 

6 

0.83 

1.53 

0.70 

0.15 

60 

3.25 

0.09 

0.37 

940 

7 

0.83 

1.53 

0.68 

0.16 

70 

3.16 

0.09 

0.38 

930 

8 

0.84 

1.54 

0.67 

0.16 

80 

3.07 

0.08 

0.39 

920 

9 

0.84 

1.54 

0.65 

0.17 

90 

2.97 

0.08 

0.40 

910 

10 

0.85 

1.55 

0.63 

0.18 

100 

2.87 

0.07 

0.41 

900 

11 

0.85 

1.55 

0.61 

0.19 

110 

2.77 

0.07 

0.42 

890 

12 
13 

0.86 
0.86 

1.56 
1.56 

0.60 
0.58 

0.19 
0.20 

120 
130 

2.66 
2.55 

0.06 
0.06 

0.43 
0.44 

880 
870 

14 

0.87 

1.56 

0.56 

0.21 

140 

2.44 

0.05 

0.45 

860 

15 
16 

17 
18 

0.88 
0.88 
0.89 
0.89 

1.57 
1.57 
1.58 
1.58 

0.55 
0.53 
0.51 
0.50 

0.21 
0.22 
0.23 
0.23 

150 
160 
170 
180 
190 

2.33 
2.22 
2.11 
2.00 

1.88 

0.05 
0.04 
0.04 
0.04 
0.03 

0.46 
0.47 
0.48 
0.49 
0.50 

850 
840 
830 
820 
810 

19 

0.90 

1.59 

0.48 

0.24 

200 

1.77 

0.03 

0.51 

800 

20 

0.91 

1.59 

0.46 

0.25 

210 

1.66 

0.03 

0.52 

790 

21 

0.91 

1.59 

0.44 

0.26 

220 

1.55 

0.02 

0.53 

7HO 

22 

0.92 

1.59 

0.43 

0.27 

230 

1.44 

0.02 

0.51 

770 

23 

0.92 

1.59 

0.41 

0.28 

240 

1-.33 

0.02 

0.55 

760 

24 

0.93 

1.59 

0.40 

0.29 

250 

1.22 

0.02 

0.56 

750 

25 

0.93 

1.59 

0.38 

0.29 

260 

1.12 

0.02 

0.56 

740 

26 

0.94 

1.59 

0.36 

0.30 

270 

1.03 

0.01 

0.57 

730 

27 

0.94 

1.58 

0.35 

0.31 

280 

0.93 

0.01 

0.58 

720 

28 

0.95 

1.58 

0.34 

0.32 

290 

0.83 

0.01 

0.59 

710 

29 

•  0.95 

1.58 

0.33 

0.33 

300 

0.73 

0.01 

0.60 

700 

30 
31 
32 
33 

0.96 
0.96 
0.97 
0.98 

1.58 
1.58 
1.57 
1.57 

0.32 
0.30 
0.29 
0.28 

0.34 
0.35 
0.36 
0.36 

310 
320 
330 
340 

0.64 
0.56 
0.48 
0.41 

0.01 
0.01 
0.01 
0.01 

0.61 
0.62 
0.63 
0.64 

690 
680 
670 
660 

34 

0.98 

1.57 

0.26 

0.37 

350 

0.34 

0.00 

0.65 

650 

35 

0.99 

1.57 

0.25 

0.38 

360 
370 

0.28 
0.22 

0.00 
0.00 

0.65 
0.66 

610 
680 

36 

0.99 

1.57 

0.24 

0.39 

880 

0.17 

0.00 

0.67 

620 

37 
38 

1.00 
1.00 

1.56 
1.56 

0.22 
0.21 

0.40 
0.40 

390 

0.13 

0.00 

0.68 

610 

39 

1.01 

1.56 

0.20 

0.41 

400 

0.09 

0.00 

0.69 

600 

410 

0.06 

0.00 

0.70 

590 

40 

1.02 

1.56 

0.19 

0.42 

420 

0.03 

0.00 

0.71 

560 

41 

1.03     1.55 

0.18 

0.43 

430 

0.01 

0.00 

0.72 

570 

42 

1.03     1.55 

0.17 

0.44 

440 

0.00 

0.00 

0.73 

560 

43 

1.01     1.54 

0.16 

0.45 

44 

1  .():•     1.54 

0.15 

0.46 

450 

0.00 

0.00 

0.74 

550 

460 

0.01 

0.01 

0.74 

5  10 

45 

l.o:.     1.53 

0.14 

0.46 

470 

0.02 

0.01 

0.75 

530 

46 

1.06     1.53 

0.13 

0.47 

ISO 

().():! 

0.01 

0.76 

WO 

47 

1.07     1.52 

0.13 

0,18 

490 

0.05 

0.01 

0.77 

510 

48 

1.07 

1.51 

0.12 

0.49 

500 

O.OS 

0.01 

0.78 

500 

49 

1.06 

1.51 

0.11 

0.50 

50 

1.09 

1.50 

0.10 

0.51 

Days.    1OOO  , 

3000   2000  Days. 

HOTB.  —  Arg.  73'  =  Arg.  73  -t-  173.792. 
222 


TABLES  LXXVII.  -  LXXIX. 


TABLES 

ARGUMENTS 


LXXVII. 
72. 


LXXVIII. 
73'. 


LXXIX. 
74. 


Days.    O      1OO     2OO     3OO 

Days.     O 

O    1OOO  Days. 

DilV*. 

50 

1.09 

1.50 

0.10 

0.51 

Davs. 

500 

0.08 

0.01 

0.78 

Days. 

500 

51 

1.10 

1.49 

0.09 

0.52 

510 

0.12 

0.01 

0.79 

490 

52 

1.11 

1.48 

0.09 

0.52 

520 

0.16 

0.02 

0.80 

480 

53 

1.12 

1.47 

0.08 

0.53 

530 

0.21 

0.02 

0.80 

470 

54 

1.12 

1.47 

0.07 

0.54 

540 

0.26 

0.02 

0.81 

460 

55 

1.13 

1.46 

0.07 

0.54 

550 

0.31 

0.02 

0.82 

450 

56 

1.14 

1.45 

0.06 

0.55 

560 

0.37 

0.03 

0.83 

440 

57 

1.15 

1.44 

0.06 

0.56 

570 

0.44 

0.03 

0.84 

430 

58 

1.16 

1.43 

0.05 

0.56 

580 

0.51 

0.03 

0.84 

420 

59 

1.17 

1.42 

0.05 

0.57 

590 

0.59 

0.04 

0.85 

410 

60 
61 
62 
63 
64 

1.18 
1.19 
1.20 
1.20 
1.21 

1.41 
1.40 
1.39 
1.37 
1.36 

0.04 
0.04 
0.04 
0.03 
0.03 

0.58 
0.59 
0.60 
0.60 
0.61 

600 
610 
620 
630 
640 

0.68 
0.77 
0.86 
0.96 
1.06 

0.04 
0.05 
0.05 
0.06 
0.06 

0.86 

0.87 
0.87 
0.88 
0.88 

400 
390 
380 
370 
360 

650 

1.16 

0.07 

0.89 

350 

65 

1.22 

1.35 

0.03 

0.62 

660 

1.26 

0.07 

0.90 

340 

66 

1.23 

1.33 

0.03 

0.62 

670 

1.37 

0.08 

0.90 

330 

67 

1.23 

1.32 

0.02 

0.63 

680 

1.48 

0.08 

0.91 

320 

68 

1.24 

1.31 

0.02 

0.63 

690 

1.59 

0.09 

0.91 

310 

69 

1.25 

1.29 

0.02 

0.64 

700 

1.70 

0.09 

0.92 

300 

70 

1.26 

1.28 

0.02 

0.64 

710 

1.81 

0.10 

0.92 

290 

71 

1.27 

1.27 

0.02 

0.65 

720 

1.92 

0.10 

0.93 

280 

72 

1.28 

1.25 

0.02 

0.65 

730 

2.04 

0.11 

0.93 

270 

73 

1.29 

1.24 

0.01 

0.66 

740 

2.15 

0.12 

0.94 

260 

74 

1.30 

1.22 

0.01 

0.66 

750 

2.27 

0.12 

0.94 

250 

75 

1.30 

1.21 

0.01 

0.67 

760 

2.38 

0.13 

0.95 

240 

76 

1.31 

1.20 

0.01 

0.67 

770 

2.49 

0.14 

O.i.5 

230 

77 

1.32 

1.18 

0.01 

0.68 

780 

2.60 

0.14 

0.95 

220 

78 

1.33 

1.17 

0.01 

0.68 

790 

2.71 

0.15 

0.96 

210 

79 

1.34 

1.15 

0.01 

0.69 

800 

2.132 

0.16 

0.96 

200 

80 
81 

82 
83 

1.35 

1.36 
1.37 
1.37 

1.14 
1.12 
1.11 
1.09 

0.01 

0.01 
0.02 
0.02 

0.69 
0.70 
0.70 
0.71 

810 
820 
830 
840 

2.92 
3.02 
3.11 
3.21 

0.17 
0.16 
0.18 
0.19 

0.96 
0.97 
0.97 
0.97 

190 
180 
170 
160 

84 

1.38 

1.07 

0.02 

0.71 

850 

3.30 

0.20 

0.98 

150 

860 

3.38 

0.21 

0.98 

140 

85 

1.39 

1.06 

0.03 

0.72 

870 

3.46 

0.21 

.  Q.98 

130 

86 

1.39 

1.04 

0.03 

0.73 

880 

3.54 

0.22 

0.98 

120 

87 

1.40 

1.02 

0.04 

0.73 

890 

3.61 

0.23 

0.99 

110 

88 

1.41 

1.01 

0.04 

0.74 

89 

1.41 

0.99 

0.05 

0.74 

900 

3.68 

0.24 

0.99 

100 

910 

3.74 

0.25 

0.99 

90 

90 

1.42 

0.97 

0.05 

0.75 

920 

3.79 

0.26 

0.99 

80 

91 

1.43 

0.95 

0.06 

0.75 

930 

3.84 

0.26 

0.99 

70 

92 

1.44 

0.94 

0.06 

0.76 

940 

3.88 

0.27 

0.99 

60 

93 

1.44 

0.92 

0.07 

0.76 

94 

1.45 

0.90 

0.07 

0.77 

950 

3.92 

0.28 

1.00 

50 

960 

3.95 

0.29 

1.00 

40 

95 

1.46 

0.89 

0.08 

0.77 

970 

3.97 

0.30 

1.00 

30 

96 

1.47 

0.87 

0.08 

0.78 

980 

3.98 

0.30 

1.00 

20 

97 

1.47 

0.85 

0.09 

0.78 

990 

3.99 

0.31 

1.00 

10 

98 

1.48 

0.84 

0.09 

0.79 

1000 

4.00 

0.32 

1.00 

0 

99 
100 

1.49 
1.50 

0.82 
0.80 

0.10 
0.10 

0.79 
0.80 

Days.    1OOO 

3OOO   2000  Days. 

Nora  —  Aig.  73'  =  Arg.  73  + 173.792. 
223 


TABLES 

ARGUMENTS 


TABLES   LXXX.  LXXXI. 

LXXX.  LXXXI. 


Days.     O     1OOOO  2OOOO  3OOOO  4OOOO 

o     10000  aoooo  30000  40000  Days. 

Days. 

0 

33.61 

30.35 

39.10 

55.24 

70.31 

38.56 

41.74 

54.89 

72.56 

87.33 

i  i.i%-.. 
10000 

100 

33.52 

30.38 

39.24 

55.41 

70.43 

38.53 

41.83 

55.06 

72.74 

87.44 

9900 

200 

33.43 

30.41 

39.37 

55.58 

70.54 

38.51 

41.92 

55.22 

72.91 

87.55 

9800 

300 

33.34 

30.45 

39.51 

55.76 

70.66 

38.48 

42.01 

55.39 

73.08 

87.66 

9700 

400 

33.25 

30.48 

39.65 

55.93 

70.77 

38.46 

42.10 

55.56 

73.26 

87.76 

9600 

500 

33.16 

30.52 

39.79 

56.10 

70.88 

38.44 

42.19 

55.73 

73.43 

87.87 

9500 

600 

33.07 

30.56 

39.93 

56.27 

70.99 

38.42 

42.28 

55.90 

73.60 

87.97 

9400 

700 

32.99 

30.60 

40.07 

56.44 

71.10 

38.40 

42.38 

56.07 

73.77 

88.08 

9300 

800 

32.90 

30.64 

40.21 

56.61 

71.21 

38.38 

42.47 

56.24 

73.94 

88.18 

9200 

900 

32.82 

30.68 

40.36 

56.78 

71.32 

38.37 

42.57 

56.42 

74.11 

88.28 

9100 

1000 

32.74 

30.72 

40.50 

56.95 

71.43 

38.35 

42.67 

56.59 

74.28 

88.38 

9000 

1100 

32.66 

30.76 

40.64 

57.12 

71.54 

38.34 

42.77 

56.76 

74.45 

88.48 

8900 

1200 

32.58 

30.81 

40.79 

57.29 

71.64 

38.32 

42.87 

56.93 

74.62 

88.68 

8800 

1300 

32.50 

30.85 

40.93 

57.45 

71.75 

38.31 

42.97 

57.10 

74.79 

88.68 

8700 

1400 

32.43 

30.90 

41.08 

57.62 

71.85 

38.30 

43.07 

57.27 

74.96 

88.77 

8600 

1500 

32.35 

30.95 

41.23 

57.79 

71.95 

•       38.29 

43.17 

57.44 

75.13 

88.87 

8500 

1600 

32.28 

31.00 

41.38 

57.96 

72.05 

38.28 

43.27 

57.61 

75.30 

88.96 

8400 

1700 

32.20 

31.05 

41.52 

58.13 

72.15 

38.28 

43.37 

57.78 

75.47 

89.06 

8300 

1800 

32.13 

31.10 

41.67 

58.29 

72.25 

38.27 

43.48 

57.96 

75.64 

89.15 

8200 

1900 

32.06 

31.16 

41.82 

58.46 

72.34 

38.27 

43.58 

58.13 

75.81 

89.24 

8100 

2000 

31.99 

31.21 

41.97 

58.63 

72.44 

38.26 

43.69 

58.30 

75.98 

89.33 

8000 

2100 

31.92 

31.27 

42.12 

58.80 

72.54 

38.26 

43.80 

58.47 

76.15 

89.42 

7900 

2200 

31.85 

31.32 

42.27 

58.97 

72.63 

38.25 

43.91 

58.65 

76.31 

89.51 

7800 

2300 

31.78 

31.38 

42.42 

59.13 

72.72 

38.25 

44.02 

58.82 

76.48 

89.60 

7700 

2400 

31.72 

31.44 

42.58 

59.30 

72.82 

38.26 

44.13 

59.00 

76.64 

89.68 

7600 

2500 

31.65 

31.50 

42.73 

59.46 

72.91 

38.26 

44.24 

59.17 

76.81 

89.77 

7500 

2600 

31.59 

31.56 

42.88 

59.63 

73.00 

38.27 

41.35 

59.35 

76.97 

89.86 

7400 

2700 

31.53 

31.62 

43.04 

59.79 

73.09 

38.27 

44.47 

59.52 

77.14 

89.94 

7300 

2800 

31.47 

31.68 

43.19 

59.96 

73.18 

38.28 

4  1.58 

5!).7() 

77.30 

90.03 

7200 

2900 

31.41 

31.75 

43.35 

60.12 

73.26 

38.28 

44.70 

59.87 

77.46 

90.11 

7100 

3000 

31.35 

31.81 

43.51 

60.29 

73.35 

38.29 

44.82 

60.05 

77.62 

90.19 

7000 

3100 

31.29 

31.88 

43.67 

60.46 

73.43 

38.30 

44.94 

60.23 

77.78 

90.27 

(i!)00 

3200 

31.24 

31.95 

43.83 

60.62 

73.52 

38.31 

45.06 

60.41 

77.94 

90.88 

6HOO 

3300 

81.18 

32.02 

43.98 

60.79 

73.60 

38.32 

45.18 

60.58 

78.10 

90.43 

(1700 

3400 

31.13 

32.09 

44.14 

60.95 

73.68 

38.34 

45.30 

60.76 

78.26 

90.50 

6600 

3500 

31.08 

32.16 

44.30 

61.11 

73.76 

38.35 

45.42 

60.94 

78.42 

90.58 

6500 

3600 

31.03 

32.23 

44.46 

61.27 

73.84 

38.36 

45.54 

61.12 

78.58 

90.65 

6400 

3700 

30.98 

32.31 

1  1.62 

61.43 

73.92 

38.38 

45.66 

61.30 

78.74 

90.73 

6300 

8800 

30.93 

32.38 

14.78 

61.5!) 

73.99 

38.39 

45.79 

61.47 

78.90 

90.NO 

6200 

3900 

•0.89 

32.46 

44.94 

61.75 

74.07 

38.41 

45.91 

61.65 

79.05 

90.87 

6100 

1000 

30.81 

32.54 

45.10 

61.91 

74.14 

38.43 

46.04 

61.83 

79.21 

90.94 

6000 

4100 

30.80 

32.62 

45.26 

62.07 

74.21 

38.45 

46.17 

62.01 

7i).:!7 

91.01 

.r)!IOO 

BOO 

:to.7.  "> 

82.70 

45.  12 

62.23 

74.29 

38.47 

46.29 

62.19 

79.52 

91.08 

5800 

4800 

:«t.7i 

82.78 

45.59      62.39 

74.36 

38.50 

46.42 

62.36 

7!).  (is 

91.19 

5700 

4100 

:«u>7 

82.81 

45.75 

62.51 

•  1.43 

38.52 

46.55 

62.54 

79.83 

91.21 

5600 

1600 

30.(;:t 

32.95 

45.91 

62.70 

H|0 

88,09 

46.6N 

6--J.72 

79.99 

91.28 

5500 

1600 

.'U).:>!l       33.03 

46.07      6-,'si; 

74.57 

38.58 

46.81 

63.90 

80.14 

91.31 

5400 

4700 

3n..v,     :!:t.ix!      KI.-JI     <;:(.()  I 

71.61 

38.61 

46.94 

63.0S 

so.:to 

91.40 

r,:«K> 

MOO 

30.51      iCJ.-.'O       1U.IO      63.17 

74.70 

3S.(i  1 

47.07 

68.26 

80.48 

91.46 

saoo 

1000 

30.  is      33.29      46.57      63.32 

74.77 

38.67 

47.21 

68.44 

80.60 

91.52 

5100 

.-,(10(1 

:{().lt       33.3H      4C.73      63.48      74.83 

38.70|       47.3  1 

(;:M;-,> 

N0.75 

91.58 

5000 

1 

Dttys.  'XMMMt  H»OOO  7OOOO  OJNMW  5OOOO 

»OOOO  8OOOO  7OOOO  GOOOO  .1OOOO  Days. 

224 


TABLES   LXXX.  LXXXI. 


TABLES 

ARGUMENTS 


LXXX. 
T5. 


LXXXI. 
re. 


Days.    O     1OOOO  2OOOO  SOOOO  4OOOO 

O        10000  20000  SOOOO  40OOO  Days. 

[fciv's 

5000 

30,44 

33.38 

46.73 

63.48 

74.83 

38.70 

47.34 

63.62 

80.75 

91.58 

Days. 

5000 

5100 

30.41 

33.47 

46.90 

63.63 

74.89 

38.73 

47.47 

63.80 

80.90 

91.64 

4900 

5-200 

30.37 

33.56 

47.06 

63.79 

74.95 

38.77 

47.61 

63.98 

81.05 

91.69 

4800 

5300 

30.34 

33.65 

47.23 

63.94 

75.01 

38.80 

47.74 

64.16 

81.20 

91.75 

4700 

5100 

30.31 

33.75 

47.39 

64.09 

75.06 

38.84 

47.88 

64.34 

81.35 

91.80 

4600 

5500 

30.28 

33.84 

47.56 

64.24 

75.12 

38.88 

48.02 

64.52 

81.50 

91.85 

4500 

5600 

30.25 

33.94 

47.73 

64.39 

75.18 

38.92 

48.15 

64.70 

81.65 

91.90 

4400 

5700 

30.23 

34.03 

47.90 

64.54 

75.23 

38.96 

48.30 

64.88 

81.80 

91.95 

4300 

5800 

30.20 

34.13 

48.06 

64.69 

75.29 

39.00 

48.44 

65.06 

81.94 

92.00 

4200 

5900 

30.18 

34.23 

48.23 

64.84 

75.34 

39.04 

48.58 

65.24 

82.09 

92.05 

4100 

6000 

30.16 

34.33 

48.40 

64.99 

75.39 

39.08 

48.72 

65.42 

82.23 

92.10 

4000 

6100 

30.14 

34.43 

48.57 

65.14 

75.44 

39.13 

48.86 

65.60 

82.37 

92.15 

3900 

6200 

30.12 

34.53 

48.74 

65.29 

75.49 

39.18 

49.00 

65.78 

82.51 

92.19 

3800 

6300 

30.10 

34.63 

48.90 

65.43 

75.54 

39.22 

49.14 

65.96 

82.65 

92.24 

3700 

6100 

30.09 

34.74 

49.07 

65.58 

75.58  . 

39.27 

49.29 

66.14 

82.79 

92.28 

3600 

6500 

30.07 

34.84 

49.24 

65.72 

75.63 

39.32 

49.43 

66.32 

82.93 

92.32 

3500 

6600 

30.06 

34.95 

49.41 

65.86 

75.67 

39.37 

49.57 

66.50 

83.07 

92.36 

3400 

6700 

30.05 

35.05 

49.58 

66.01 

75.71 

39.42 

49.72 

66.68 

83.21 

92.40 

3300 

6800 

30.04 

35.16 

49.75 

66.15 

75.75 

39.47 

49.86 

66.86 

83.35 

92.44 

3200 

6900 

30.03 

35.27 

49.92 

66.29 

75.79 

39.53 

50.01 

67.04 

83.48 

92.47 

3100 

7000 

30.02 

35.38 

50.09 

66.43 

75.83 

39.58 

50.16 

67.22 

83.62 

92.51 

3000 

7100 

30.01 

35.49 

50.26 

66.57 

75.87 

39.64 

50.31 

67.40 

83.76 

92.55 

2900 

7200 

30.01 

35.60 

50.43 

66.71 

75.90 

39.69 

50.46 

67.58 

83.89 

92.58 

2800 

7300 

30.00 

35.71 

50.60 

66.85 

75.94 

39.75 

50.61 

67.76 

84.03 

92.62 

2700 

7100 

30.00 

35.83 

50.77 

66.99 

75.97 

39.81 

50.77 

67.94 

84.16 

92.65 

2600 

7500 

30.00 

35.94 

50.94 

67.13 

76.00 

39.87 

50.92 

68.12 

84.29 

92.68 

2500 

7600 

30.00 

36.06 

51.11 

67.27 

76.03 

39.93 

51.07 

68.30 

84.42 

92.71 

2400 

7700 

30.00 

36.17 

51.28 

67.41 

76.06 

39.99 

51.23 

68.48 

84.55 

92.74 

2300 

7800 

30.00 

36.29 

51.46 

67.54 

76.09 

40.06 

51.38 

68.66 

84.68 

92.77 

2200 

7900 

30.01 

36.41 

51.63 

67.68 

76.12 

40.12 

51.53 

68.84 

84.81 

92.79 

2100 

8000 

30.01 

36.53 

51.80 

67.81 

76.15 

40.19 

51.69 

69.02 

84.94 

92.82 

2000 

8100 

30.02 

36.65 

51.97 

67.94 

76.17 

40.26 

51.85 

69.20 

85.07 

92.84 

1900 

8200 

30.02 

36.77 

52.14 

68.08 

76.20 

40.32 

52.00 

69.38 

85.20 

92.86 

1800 

8300 

30.03 

36.89 

52.32 

68.21 

76.22 

40.39 

52.16 

69.55 

85.32 

92.88 

1700 

8400 

30.04 

37.02 

52.49 

68.34 

76.24 

40.46 

52.31 

69.73 

85.45 

92.90 

1600 

8500 

30.05 

37.14 

52.66 

68.47 

76.26 

40.53 

52.47 

69.91 

85.57 

92.92 

1500 

8600 

30.06 

37.26 

52.83 

68.60 

76.28 

40.60 

52.63 

70.09 

85.69 

92.94 

1400 

8700 

30.07 

37.39 

53.00 

68.73 

76.80 

40.67 

52.78 

70.27 

85.81 

92.95 

1300 

8800 

30.09 

37.51 

53.18 

68.86 

76.81 

40.75 

52.94 

70.44 

85.93 

92.97 

1200 

8900 

30.10 

37.64 

53.35 

68.98 

76.83 

40.82 

53.10 

70.62 

86.05 

92.98 

1100 

9000 

30.12 

37.77 

53.52 

69.11 

76.34 

40.90 

53.26 

70.80 

86.17 

92.99 

1000 

9100 

30.14 

37.90 

53.69 

69.23 

76.85 

40.98 

53.42 

70.98 

86.29 

93.00 

900 

9200 

30.16 

38.03 

53.86 

69.36 

76.86 

41.06 

53.58 

71.15 

86.41 

93.01 

800 

9300 

30.18 

38.16 

54.04 

69.48 

76.87 

41.14 

53.74 

71.33 

86.53 

93.02 

700 

9400 

30.20 

38.29 

54.21 

69.60 

76.87 

41.23 

53.91 

71.50 

86.64 

93.02 

600 

9500 

30.22 

38.42 

54.38 

69.72 

76.38 

41.31 

54.07 

71.68 

86.76 

93.03 

500 

9600 

30.24 

38.55 

54.55 

69.84 

76.88 

41.39 

54.23 

71.86 

86.88 

93.03 

400 

9700 

30.27 

38.69 

54.72 

69.96 

76.39 

41.48 

54.40 

72.03 

86.99 

93.03 

300 

9800 

30.29 

38.82 

54.90 

70.08 

76.39 

41.56 

54.56 

72.21 

87.11 

93.04 

200 

9900 

30.32 

38.96 

55.07 

70.19 

76.40 

41.65 

54.73 

72.38 

87.22 

93.04 

100 

10000 

30.35 

39.10 

55.24 

70.31 

76.40 

41.74 

54.89 

72.56 

87.33 

93.04 

0 

Days.  9OOOO  SOOOO  7OOOO  6OOOO  SOOOO 

1)0000  8OOOO  70000  GOOOO  SOOOO  Days. 

225 


TABLE  LXXXLl. 

Argument  y-u. 
Equation  =  —  6".38  sin  (y-u)  —  0".97  cos  (y - «) 


y-u 

o 

0  + 

10  + 

2O°  + 

30°+ 

4O°+ 

5O°+ 

6O°+ 

ro°+ 

80°+ 

180- 

190- 

200- 

210- 

22O- 

230- 

24O- 

25O- 

26O- 

611 
0 

-0".97 

-2.07 

-3.09 

-4.03 

-4.84 

-5.51 

-6.01 

-6.32 

-6.46 

0     1000 

1.00 

2.10 

3.12 

4.05 

4.86 

5.53 

6.02 

6.33 

6.46 

0    2000 

1.03 

2.13 

3.14 

4.08 

4.88 

5.54 

6.03 

6.33 

6.46 

0    3000 

1.06 

2.16 

3.17 

4.10 

4.90 

5.56 

6.04 

6.34 

6.46 

1      400 

1.09 

2.19 

3.20 

4.12 

4.92 

5.57 

6.05 

6.34 

6.46 

1     1400 

1.12 

2.22 

3.22 

4.15 

4.94 

5.59 

6.06 

6.35 

6.47 

1     2400 

1.15 

2.24 

3.25 

4.17 

4.96 

5.60 

6.07 

6.35 

6.47 

1     3400 

1.19 

2.27 

3.28 

4.19 

4.98 

5.62 

6.08 

6.36 

6.47 

2      800 

1.22 

2.30 

3.30 

4.22 

5.00 

5.63 

6.09 

6.36 

6.47 

2     1800 

1.25 

2.33 

3.33 

4.24 

5.02 

5.65 

6.10 

6.37 

6.47 

2    2800 

1.28 

2.36 

3.36 

4.26 

5.04 

5.66 

6.11 

6.37 

6.47 

3      200 

1.31 

2.39 

3.38 

4.29 

5.06 

5.68 

6.12 

6.38 

6.47 

3     1200 

1.34 

2.42 

3.41 

4.31 

5.08 

5.69 

6.13 

6.38 

6.47 

3    2200 

1.38 

2.44 

3.44 

4.33 

5.10 

5.71 

6.14 

6.39 

6.46 

3    3200 

1.41 

2.47 

3.46 

4.36 

5.12 

5.72 

6.15 

6.39 

6.46 

4      600 

1.44 

2.50 

3.49 

4.38 

5.14 

5.74 

6.16 

6.40 

6.46 

4     1600 

1.47 

2.53 

3.52 

4.40 

5.16 

5.75 

6.17 

6.40 

6.46 

4    2600 

1.50 

2.56 

3.54 

4.43 

5.18 

5.77 

6.18 

6.41 

6.46 

5          0 

1.53 

2.59 

3.57 

4.45 

5.20 

5.78 

6.19 

6.41 

6.46 

5     1000 

1.56 

2.62 

3.60 

4.47 

5.22 

5.79 

6.20 

6.41 

6.46 

5    2000 

1.59 

2.65 

3.62 

4.49 

5.24 

5.81 

6.20 

6.42 

6.45 

5    3000 

1.62 

2.67 

3.65 

4.52 

5.25 

5.82 

6.21 

6.42 

6.45 

6      400 

1.65 

2.70 

3.67 

4.54 

5.27 

5.84 

6.22 

6.42 

6.45 

6     1400 

1.68 

2.73 

3.70 

4.56 

5.29 

5.85 

6.22 

6.43 

6.44 

6    2400 

1.71 

2.76 

3.72 

4.58 

5.30 

5.86 

6.23 

6.43 

6.44 

6    3400 

1.74 

2.78 

3.75 

4.60 

5.32 

5.88 

6.24 

6.43 

6.43 

7      800 

1.77 

2.81 

3.78 

4.63 

5.34 

5.89 

6.24 

6.43 

6.43 

7     1800 

1.80 

2.84 

3.80 

4.65 

5.36 

5.90 

6.25 

6.44 

6.42 

7    2800 

1.83 

2.87 

3.83 

4.67 

5.37 

5.92 

6.26 

6.44 

6.42 

8      200 

1.86 

2.89 

3.85 

4.69 

5.39 

5.93 

6.27 

6.44 

6.41 

8     1200. 

1.89 

2.92 

3.88 

4.71 

5.41 

5.95 

6.27 

6.44 

6.41 

8    2200 

1.92 

2.95 

3.90 

4.74 

5.42 

5.96 

6.28 

6.44 

6.40 

8    3200 

1.95 

2.98 

3.93 

4.76 

5.44 

5.97 

6.29 

6.45 

6.40 

9      600 

1.98 

3.00 

3.95 

4.78 

5.46 

5.98 

6.30 

6.45 

6.39 

9     1600 

2.01 

3.03 

3.98 

4.80 

5.47 

5.99 

6.30 

6.45 

6.39 

9    2600 

2.04 

3.06 

4.00 

4.82 

5.49 

6.00 

6.31 

6.46 

6.38 

10          0 

—2.07 

-3.09 

-4.03 

-4.84 

-5.51 

-6.01 

-6.32 

-6.46 

-6.38 

NOTE.  —  When  y-u  exceeds  180°  the  Sign  of  the  Equation  is  to  be  reversed. 

226 


TABLE  LXXXI^L. 


Argument  y  -  u. 
Equation  =  —  6".38  sin  (y  -  u)  —  0".97  cos  (y  -  u). 


0 

o 

o 

O 

O 

o 

90  + 

1OO  + 

11O  + 

120  + 

130  + 

14O  + 

150  + 

160  + 

170  + 

y  —  u 

27O- 

28O- 

29O- 

3OO- 

31O- 

32O- 

330- 

34O- 

35O- 

O                      II 

0          0 

-6.38 

-6.12 

-5.66 

—5.04 

-4.26 

-3.36 

-2.35 

-1.27 

—0.15 

0     1000 

6.38 

6.11 

5.64 

5.02 

4.24 

3.33 

2.32 

1.24 

0.12 

0    2000 

6.37 

6.10 

5.63 

5.00 

4.21 

3.30 

2.29 

1.21 

0.09 

0     3000 

6.37 

6.08 

5.61 

4.98 

4.19 

3.28 

2.26 

1.18 

0.06 

1       400 

6.36 

6.07 

5.59 

4.96 

4.16 

3.25 

2.23 

1.15 

-0.02 

1     1400 

6.36 

6.06 

5.58 

4.94 

4.14 

3.22 

2.20 

1.11 

+0.01 

1     2400 

6.35 

6.05 

5.56 

4.92 

4.11 

3.20 

2.17 

1.08 

0.04 

1     3400 

6.35 

6.04 

5.55 

4.90 

4.09 

3.17 

2.14 

LOS 

0.07 

2      800 

6.34 

6.02 

5.53 

4.88 

4.07 

3.14 

2.11 

1.02 

0.10 

2     1800 

6.34 

6.01 

5.51 

4.85 

4.04 

3.11 

2.08 

0.99 

0.13 

2    2800 

6.33 

6.00 

5.50 

4.83 

4.02 

3.09 

2.06 

0.96 

0.16 

3      200 

6.33 

5.99 

5.48 

4.81 

3.99 

3.06 

2.03 

0.93 

0.20 

3     1200 

6.32 

5.98 

5.47 

4.79 

3.97 

3.03 

2.00 

0.90 

0.23 

3    2200 

6.31 

5.97 

5.45 

4.77 

3.94 

3.01 

1.97 

0.86 

0.26 

3     3200 

6.31 

5.95 

5.43 

4.75 

3.92 

2.98 

1.94 

0.83 

0.29 

4      600 

6.30 

5.94 

5.42 

4.73 

3.89 

2.95 

1.91 

0.80 

0.32 

4     1600 

6.29 

5.93 

5.40 

4.71 

3.87 

2.93 

1.88 

0.77 

0.35 

4    2600 

6.29 

5.92 

5.39 

4.69 

3.84 

2.90 

1.85 

0.74 

0.38 

5          0 

6.28 

5.91 

5.37 

4.67 

3.82 

2.87 

1.82 

0.71 

0.41 

5     1000 

6.27 

5.90 

5.35 

4.65 

3.79 

2.84 

1.79 

0.68 

0.44 

5     2000 

6.26 

5.88 

5.33 

4.63 

3.77 

2.81 

1.76 

0.65 

0.47 

5     3000 

6.26 

5.87 

5.32 

4.60 

3.74 

2.78 

1.73 

0.62 

0.50 

6      400 

6.25 

5.86 

5.30 

4.58 

3.71 

2.76 

1.70 

0.59 

0.53 

6     1400 

6.24 

5.84 

5.28 

4.56 

3.69 

2.73 

1.67 

0.55 

0.56 

6    2400 

6.23 

5.83 

5.26 

4.54 

3.66 

2.70 

1.64 

0.52 

0.60 

6    3400 

6.22 

5.81 

5.24 

4.51 

3.64 

2.67 

1.61 

0.49 

0.63 

7       800 

6.21 

5.80 

5.23 

4.49 

3.61 

2.64 

1.58 

0.46 

0.66 

7     1800 

6.20 

5.78 

5.21 

4.47 

3.58 

2.61 

1.54 

0.43 

0.69 

7     2800 

6.20 

5.77 

5.19 

4.45 

3.56 

2.58 

1.51 

0.40 

0.72 

8      200 

6.19 

5.75 

5.17 

4.42 

3.53 

2.56 

1.48 

0.37 

0.75 

8     1200 

6.18 

5.74 

5.15 

4.40 

3.50 

2.53 

1.45 

0.33 

0.79 

8     2200 

6.17 

5.73 

5.14 

4.38 

3.48 

2.50 

1.42 

0.30 

0.82 

8     3200 

6.16 

5.71 

5.12 

4.35 

3.45 

2.47 

1.39 

0.27 

0.85 

9       600 

6.15 

5.70 

5.10 

4.33 

3.43 

2.44 

1.36 

0.24 

0.88 

9     1600 

6.14 

5.68 

5.08 

4.31 

3.40 

2.41 

1.33 

0.21 

0.91 

9     2600 

6.13 

5.67 

5.06 

4.28 

3.38 

2.38 

1.30 

0.18 

0.94 

10          0 

-6.12 

-5.66 

-5.04 

-4.26 

-3.36 

-2.35 

-1.27 

-0.15 

+0.97 

NOTE.  —  When  y  -  u  exceeds  180°  the  Sign  of  the  Equation  is  to  be  reversed. 

227 


TABLE  LXXXIL    ARGUMENT  77, 


Equation  =  —  416".9  sin.  2J. 


O 

o 

o 

o 

o 

o 

o 

o 

o 

27O  + 

271  + 

272  + 

273  + 

274  + 

275  + 

276  + 

277  + 

278  + 

ISO  — 

181- 

182- 

183- 

184- 

185- 

186  — 

187- 

188- 

y 

y 

9O  + 

91  + 

92  + 

93  + 

91  + 

95  + 

96  + 

97  + 

98  + 

O- 

1- 

2- 

3- 

4- 

5- 

6- 

7- 

8  — 

ii 

0 

o.oo 

14.55 

29.08 

43.58 

58.02 

72.39 

86.68 

100.86 

114.91 

3600 

100 

0.40 

14.95 

29.48 

43.98 

58.42 

72.79 

87.07 

101.25 

115.30 

3500 

200 

0.81 

15.36 

29.89 

44.38 

58.82 

73.19 

87.47 

101.64 

115.69 

3400 

300 

1.21 

15.76 

30.29 

44.78 

59.22 

73.59 

87.86 

102.03 

116.08 

3300 

400 

1.62 

16.16 

30.69 

45.18 

59.62 

73.99 

88.26 

102.42 

116.47 

3200 

500 

2.02 

16.57 

31.10 

45.59 

60.02 

74.38 

88.65 

102.82 

116.85 

3100 

600 

2.43 

16.97 

31.50 

45.99 

60.42 

74.78 

89.05 

103.21 

117.24 

3000 

700 

2.83 

17.37 

31.90 

46.39 

60.82 

75.18 

89.44 

103.60 

117.63 

2900 

800 

3.24 

17.78 

32.31 

46.79 

61.22 

75.57 

89.84 

103.99 

118.01 

2800 

900 

3.64 

18.18 

32.71 

47.19 

61.62 

75.97 

90.23 

104.38 

118.40 

2700 

1000 

4.04 

18.59 

33.11 

47.59 

62.02 

76.37 

90.63 

104.77 

118.79 

2600 

1100 

4.45 

18.99 

33.52 

48.00 

62.42 

76.77 

91.02 

105.17 

119.18 

2500 

1200 

4.85 

19.40 

33.92 

48.40 

62.82 

77.17 

91.42 

105.56 

119.57 

2400 

1300 

5.25 

19.80 

34.32 

48.80 

63.22 

77.57 

91.81 

105.95 

119.96 

2300 

1400 

5.66 

20.21 

34.73 

49.20 

63.62 

77.96 

92.21 

106.34 

120.34 

2200 

1500 

6.06 

20.61 

35.13 

49.60 

64.02 

78.36 

92.60 

106.73 

120.73 

2100 

1600 

6.46 

21.01 

35.53 

50.00 

64.42 

78.76 

92.99 

107.12 

121.12 

2000 

1700 

6.87 

21.42 

35.94 

50.41 

64.82 

79.15 

93.39 

107.51 

121.50 

1900 

1800 

7.28 

21.82 

36.34 

50.81 

65.22 

79.55 

93.78 

107.90 

121.89 

1800 

1900 

7.68 

22.22 

36.74 

51.21 

65.62 

79.95 

94.17 

108.29 

122.28 

1700 

2000 

8.09 

22.63 

37.15 

51.61 

66.01 

80.34 

94.57 

108.68 

122.66 

1600 

2100 

8.49 

23.03 

37.55 

52.01 

66.41 

80.74 

94.96 

109.07 

123.05 

1500 

2200 

8.89 

23.43 

37.95 

52.41 

66.81 

81.14 

95.35 

109.46 

123.43 

1400 

2300 

9.30 

23.84 

38.35 

52.81 

67.21 

81.53 

95.75 

109.85 

123.82 

1300 

2400 

9.70 

24.24 

38.75 

53.21 

67.61 

81.93 

96.14 

110.24 

124.20 

1200 

2500 

10.10 

24.64 

39.15 

53.61 

68.01 

82.33 

96.53 

110.63 

124.59 

1100 

2600 

10.51 

25.05 

39.56 

54.02 

68.41 

82.72 

96.93 

111.02 

124.97 

1000 

2700 

10.91 

25.45 

39.96 

54.42 

68.81 

83.12 

97.32 

111.41 

125.36 

900 

2800 

11.32 

25.85 

40.36 

54.82 

69.21 

83.51 

97.71 

111.80 

125.75 

800 

2900 

11.72 

26.26 

40.77 

55.22 

69.60 

83.91 

98.11 

112.19 

126.13 

700 

3000 

12.13 

26.66 

41.17 

55.62 

70.00 

84.30 

98.50 

112.58 

126.52 

600 

3100 

12.53 

27.06 

41.57 

56.02 

70.40 

84.70 

98.89 

112.97 

126.90 

500 

3200 

12.94 

27.47 

41.98 

56.42 

70.80 

85.09 

99.29 

1  13.36 

127.29 

400 

3300 

13.34 

27.87 

42.38 

56.82 

71.20 

85.49 

99.68 

113.75 

127.67 

300 

3400 

13.74 

28.27 

42.78 

57.22 

71.60 

85.89 

100.07 

114.14 

128.06 

200 

3500 

14.15 

28.68 

43.18 

57.62 

71.99 

86.28 

100.47 

114.52 

128.44 

100 

3600 

14.55 

29.08 

43.58 

58.02 

72.39 

86.68 

100.86 

114.91 

12N.H3 

0 

89- 

88- 

87- 

8°6- 

85- 

&- 

83- 

8»- 

81- 

1T9  + 

178  + 

177  + 

176  + 

173  + 

174  + 

173  + 

172  + 

171  + 

y 

y 

269- 

268- 

267- 

266- 

265- 

264- 

263- 

262- 

261  — 

359  + 

358  + 

337  + 

336  + 

353  + 

334  + 

353  + 

352  + 

351  + 

228 


TABLE  LXXXII.    ARGUMENT  77. 


Equation  =  —  416".9  sin.  2y. 


- 

o 

o 

o 

o 

o 

o 

o 

o 

o 

279  + 

28O  + 

281  + 

282  + 

283  + 

284  + 

285  + 

286  + 

287  + 

189  — 

19O  — 

191  - 

192- 

193- 

194- 

195  — 

196  — 

197  — 

y 

a 

99  + 

10O  + 

1O1  + 

102  + 

103  + 

1O4  + 

105  + 

1O6  + 

1O7  + 

9- 

1O  — 

11- 

12- 

13- 

14- 

15- 

16  — 

17  — 

H 

0 

128.83 

142.59 

156.17 

169.57 

182.76 

195.72 

208.45 

220.92 

233.13 

3600 

100 

129.21 

142.97 

156.55 

169.94 

183.12 

196.08 

208.80 

221.26 

233.46 

3500 

200 

129.60 

143.35 

156.92 

170.31 

183.48 

196.43 

209.15 

221.61 

233.80 

3400 

300 

129.98 

143.73 

157.30 

170.68 

183.84 

196.79 

209.50 

221.95 

234.13 

3300 

400 

130.36 

144.11 

157.67 

171.05 

184.20 

197.15 

209.85 

222.29 

234.46 

3200 

500 

130.75 

144.48 

158.05 

171.42 

184.57 

197.50 

210.20 

222.64 

234.80 

3100 

600 

131.13 

144.86 

158.42 

171.79 

184.93 

197.86 

210.55 

222.98 

235.13 

3000 

700 

131.51 

145.24 

158.79 

172.16 

185.29 

198.22 

210.90 

223.32 

235.46 

2900 

800 

131.90 

145.62 

159.17 

172.52 

185.66 

198.57 

211.24 

223.66 

235.80 

2800 

900 

132.28 

146.00 

159.54 

172.89 

186.02 

198.93 

211.59 

224.00 

236.13 

2700 

1000 

132.66 

146.38 

159.91 

173.26 

186.38 

199.28 

211.94 

224.34 

236.46 

2600 

1100 

133.05 

146.76 

160.29 

173.62 

186.75 

199.64 

212.29 

224.68 

236.80 

2500 

1200 

133.43 

147.14 

160.66 

173.99 

187.11 

199.99 

212.64 

225.02 

237.13 

2400 

1300 

133.81 

147.52 

161.03 

174.36 

187.47 

200.34 

212.99 

225.36 

237.46 

2300 

1400 

134.20 

147.89 

161.41 

174.72 

187.83 

200.70 

213.33 

225.70 

237.80 

2200 

1500 

134.58 

148.27 

161.78 

175.09 

188.19 

201.05 

213.68 

226.04 

238.13 

2100 

1600 

134.96 

148.65 

162.15 

175.46 

188.55 

201.41 

214.03 

226.38 

238.46 

2000 

1700 

135.35 

149.02 

162.53 

175.82 

188.91 

201.76 

214.37 

226.72 

238.79 

1900 

1800 

135.73 

149.40 

162.90 

176.19 

189.27 

202.12 

214.72 

227.06 

239.12 

1800 

1900 

136.11 

149.78 

163.27 

176.56 

189.63 

202.47 

215.06 

227.40 

239.45 

1700 

2000 

136.50 

150.15 

163.64 

176.92 

189.99 

202.83 

215.41 

227.73 

239.79 

1600 

2100 

136.88 

150.53 

164.01 

177.29 

190.35 

203.18 

215.75 

228.07 

240.12 

1500 

2200 

137.26 

150.91 

164.38 

177.66 

190.71 

203.53 

216.10 

228.41 

240.45 

1400 

2300 

137.64 

151.28 

164.75 

178.02 

191.07 

203.89 

216.44 

228.74 

240.78 

1300 

2400 

138.02 

151.66 

165.12 

178.39 

191.43 

204.24 

216.79 

229.08 

241.11 

1200 

2500 

138.40 

152.04 

105.49 

178.75 

191.79 

204.5: 

217.14 

229.  -12 

241.44 

1100 

2600 

138.78 

152.41 

165.87 

179.12 

192.15 

204.94 

217.48 

229.76 

241.77 

1000 

2700 

139.16 

152.79 

166.24 

179.48 

192.51 

205.29 

217.83 

230.10 

242.10 

900 

2800 

139.54 

153.17 

166.61 

179.84 

192.87 

205.64 

218.17 

230.44 

242.43 

800 

2900 

139.93 

153.54 

166.98 

180.21 

193.22 

206.00 

218.52 

230.77 

242.75 

700 

3000 

140.31 

153.92 

167.35 

180.57 

•   193.58 

206.35 

218.86 

231.11 

243.08 

600 

3100 

140.69 

154.30 

167.72 

180.94 

193.94 

206.70 

219.20 

231.45 

243.41 

500 

3200 

141.07 

154.67 

168.09 

181.30 

194.29 

207.05 

219.55 

231.78 

243.73 

400 

3300 

141.45 

155.05 

168.46 

181.67 

194.65 

207.40 

219.89 

232.12 

244.06 

300 

3400 

141.83 

155.42 

168.83 

182.03 

195.01 

207.75 

220.23 

232.46 

244.39 

200 

3500 

142.21 

155.80 

169.20 

182.40 

195.36 

208.10 

220.58 

232.79 

244.71 

100 

3600 

142.59 

156.17 

169.57 

182.76 

195.72 

208.45 

220.92 

233.13 

245.04 

0 

o 

o 

o 

o 

o 

o 

o 

o 

80- 

79  — 

78  — 

77  — 

76- 

75- 

74  — 

73- 

72- 

17O  + 

169  + 

168  + 

167  + 

166  + 

165  + 

164  + 

163  + 

162  + 

s 

y 

26O- 

259  — 

258  — 

257  — 

256  — 

255  — 

254  — 

253- 

252  — 

35O  + 

349  + 

348  + 

»47  + 

346  + 

345  + 

344  + 

343  + 

342  + 

229 


TABLE  LXXXII.    ARGUMENT  77. 


Equation  =  —  416".9  sin.  2y. 


o 

o 

o 

o 

o 

o 

o 

o 

288  + 

289  + 

290  + 

291  + 

292  + 

293  + 

29°4  + 

295  + 

296  + 

198- 

199- 

2OO- 

201  - 

202- 

2O3- 

20  1  - 

2O5- 

206- 

y 

9 

1OS  + 

1O9  + 

110  + 

111  + 

112  + 

113  + 

114  + 

115  + 

116  + 

18- 

19- 

20- 

21- 

22- 

23- 

24- 

25- 

26- 

6 

245.04 

256.67 

267.98 

278.96 

289.60 

299".88 

309.82 

319.36 

328.52 

3600 

100 

245.37 

256.99 

268.29 

279.26 

289.89 

300.16 

310.09 

319.62 

328.77 

3500 

200 

245.69 

257.30 

268.59 

279.56 

290.18 

300.45 

310.36 

319.88 

329.02 

3400 

300 

246.02 

257.62 

268.90 

279.86 

290.47 

300.73 

310.63 

320.14 

329.27 

3300 

400 

246.35 

257.94 

269.21 

280.16 

290.76 

301.01 

310.90 

320.40 

329.52 

3200 

500 

246.67 

258.25 

269.52 

280.46 

291.05 

301.29 

311.17 

320.65 

329.76 

3100 

600 

247.00 

258.57 

269.83 

280.76 

291.34 

301.57 

311.44 

320.91 

330.01 

3000 

700 

247.33 

258.88 

270.14 

281.06 

291.63 

301.85 

311.71 

321.17 

330.26 

2900 

800 

247.65 

259.20 

270.44 

281.35 

291.91 

302.13 

311.97 

321.42 

330.50 

2800 

900 

247.98 

259.52 

270.75 

281.65 

292.20 

302.41 

312.24 

321.68 

330.75 

2700 

1000 

248.31 

259.84 

271.06 

281.95 

292.49 

302.69 

312.51 

321.94 

330.99 

2600 

1100 

248.63 

260.15 

271.37 

282.24 

292.77 

302.96 

312.77 

322.19 

331.24 

2500 

1200 

248.96 

260.47 

271.68 

282.54 

293.06 

303.24 

313.04 

322.45 

331.48 

2400 

1300 

249.28 

260.79 

271.99 

282.84 

293.35 

303.52 

313.31 

322.71 

331.73 

2300 

1400 

249.61 

261.10 

272.29 

283.13 

293.64 

303.79 

313.57 

322.96 

331.97 

2200 

1500 

249.93 

261.42 

272.60 

283.43 

293.93 

304.07 

313.84 

323.22 

332.22 

2100 

1600 

250.25 

261.73 

272.90 

283.73 

294.22 

304.35 

314.11 

323.47 

332.46 

2000 

1700 

250.58 

262.05 

273.21 

284.02 

294.50 

304.62 

314.37 

323.73 

332.71 

1900 

1800 

250.90 

262.36 

273.51 

284.32 

294.79 

304.90 

314.64 

323.98 

332.95 

1800 

1900 

251.22 

262.67 

273.81 

284.61 

295.08 

305.17 

314.90 

324.24 

333.19 

1700 

2000 

251.54 

262.99 

274.12 

284.91 

295.36 

305.45 

315.17 

324.49 

333.44 

1600 

2100 

251.86 

263.30 

274.42 

285.20 

295.65 

305.72 

315.43 

324.75 

333.68 

1500 

2200 

252.18 

263.61 

274.72 

285.50 

295.93 

306.00 

315.69 

325.00 

333.92 

1400 

2300 

252.51 

263.93 

275.03 

285.79 

296.22 

306.27 

315.96 

325.26 

334.16 

1300 

2400 

252.83 

264.24 

275.33 

286.09 

296.50 

306.55 

316.22 

325.51 

334.40 

1200 

2500 

253  IT, 

264.55 

275.63 

286.38 

296.78 

306.82 

316.48 

325.76 

334.64 

1100 

2600 

253.47 

264.87 

27594 

286.68 

297.07 

307.10 

316.75 

326.01 

884.89 

1000 

2700 

253.79 

265.18 

276.2  1 

286.97 

297.35 

307.37 

317.01 

326.26 

335.13 

900 

2800 

254.11 

265.49 

276.51 

287.26 

297.63 

307.64 

317.27 

326.51 

335.37 

800 

2900 

254.43 

265.81 

276.85 

287.56 

297.92 

307.92 

317.54 

326.77 

335.61 

700 

3000 

251.75 

266.12 

277.15 

287.85 

298.20 

308.19 

317.80 

327.02 

335.85 

600 

3100 

255.07 

266.43 

277.45 

288.14 

298.48 

308.46 

318.06 

327.27 

336.09 

500 

3200 

255.39 

266.74 

277.76 

2N*,I  1 

298.76 

808.78 

318.32 

327.52 

336.33 

400 

3300 

-,':>:>.  7  1 

267.05 

278.06 

288.73 

299.04 

309.00 

818.68 

IW7.77 

336.57 

300 

3400 

256.03 

267.36 

278.36 

289.02 

299.32 

309.27 

318.84 

328.02 

336.81 

200 

3500 

256.35 

267.67 

278.66 

289.31 

299.60 

309.55 

319.10 

328.27 

337.04 

100 

3600 

256.67 

267.98 

278.96 

289.60 

299.88 

309.82 

319.36 

328.52 

3.'t7.iiH 

0 

0 

71  — 

O 

7O  — 

O 

69  — 

68- 

67- 

O 

66- 

65- 

64- 

63- 

161    • 

100  + 

1.19  + 

138  + 

1.17  + 

1.16  + 

1.1.1  + 

1.14  + 

1.13  + 

y 

s 

251  - 

2.10  —,  249  — 

21*- 

247- 

246- 

2  1.1  - 

244- 

243- 

341  + 

310  + 

339  + 

338  + 

337  + 

336  + 

333  + 

334  + 

333  + 

230 


TABLE  LXXXII.    ARGUMENT  77, 


Equation  =  —  416".9  sin.  2j. 


* 

O 

O 

o 

o 

o 

o 

o 

o 

o 

297  + 

298  + 

299  + 

30O  + 

3O1  + 

3O2  + 

3O3  + 

304  + 

305  + 

2O7- 

2O8  — 

209- 

21O- 

211- 

212- 

213- 

214- 

215- 

9 

9 

117  + 

118  + 

119  + 

120  + 

121  + 

122  + 

123  + 

124  + 

125  + 

27- 

28  — 

29- 

30- 

31- 

32  — 

33- 

34- 

35- 

H 

0 

337.28 

345.62 

353.55 

361.05 

368.09 

374.71 

380.85 

386.54 

391.76 

3600 

100 

337.51 

345.85 

353.76 

361.25 

368.28 

374.89 

381.02 

386.69 

391.90 

3500 

200 

337.75 

346.07 

353.98 

361.45 

368.47 

375.06 

381.18 

386.81 

392.03 

3400 

300 

337.98 

346.30 

354.19 

361.65 

368.66 

375.24 

381.35 

386.99 

392.17 

3300 

400 

338.22 

346.53 

354.40 

361.85 

368.85 

375.42 

381.51 

387.14 

392.31 

3200 

500 

338.45 

346.75 

354.62 

362.05 

369.04 

375.59 

381.68 

387.29 

392.44 

3100 

600 

338.69 

346.98 

354.83 

362.25 

369.23 

375.77 

381.84 

387.44 

392.58 

3000 

700 

338.93 

347.20 

355.04 

362.45 

369.42 

375.94 

382.00 

387.59 

392.72 

2900 

800 

339.16 

347.43 

355.26 

362.65 

369.60 

376.12 

382.16 

387.74 

392.85 

2800 

900 

339.40 

347.65 

355.47 

362.85 

369.79 

376.29 

382.32 

387.89 

392.99 

2700 

1000 

339.63 

347.87 

355.68 

363.05 

369.98 

376.46 

382.48 

388.04 

393.12 

2600 

1100 

339.87 

348.09 

355.89 

363.25 

370.16 

376.64 

382.64 

388.18 

393.26 

2500 

1200 

340.10 

348.31 

356.10 

363.45 

370.35 

376.81 

382.80 

388.33 

393.39 

2400 

1300 

340.33 

348.53 

356.31 

363.65 

370.53 

376.99 

382.96 

388.48 

393.52 

2300 

1400 

340.57 

348.76 

356.51 

363.84 

370.72 

377.16 

383.12 

388.62 

393.65 

2200 

1500 

340.80 

348.98 

356.72 

364.04 

370.90 

377.33 

383.28 

388.77 

393.78 

2100 

1600 

341.03 

349.20 

356.93 

364.24 

371.09 

377.50 

383.44 

388.92 

393.91 

2000 

1700 

341.27 

349.42 

357.14 

364.43 

371.27 

377.67 

383.60 

389.06 

394.05 

1900 

1800 

341.50 

349.64 

357.35 

364.63 

371.46 

377.84 

383.76 

389.21 

394.18 

1800 

1900 

341.73 

349.86 

357.56 

364.83 

371.64 

378.01 

383.92 

389.35 

394.31 

1700 

2000 

341.97 

350.08 

357.76 

305.02 

371.83 

378.18* 

384.07 

389.50 

394.41 

1600 

2100 

342.20 

350.30 

357.97 

365.22 

372.01 

378.35 

384.23 

389.64 

394.57 

1500 

2200 

342.43 

350.52 

358.18 

365.41 

372.19 

378.52 

384.39 

389.78 

394.70 

1400 

2300 

342.66 

350.73 

358.3S 

S'iS.Gl 

37'2.:i7 

378.68 

384.54 

389.93 

394.83 

1300 

2400 

342.89 

350.95 

358.59 

365.80 

372.55 

378.85 

384.70 

390.07 

394.96 

1200 

2500 

343.12 

351.17 

358.80 

365.99 

372.73 

379.0:2 

384.85 

3!?0.'71 

395.09 

1100 

2600 

343.35 

351.39 

359.00 

366.19 

372.91 

379.18 

385.01 

390.36 

395.22 

1000 

2700 

343.58 

351.61 

359.21 

366.38 

373.09 

379.35 

385.16 

390.50 

395.35 

900 

2800 

343.81 

351.83 

359.42 

366.57 

373.27 

379.52 

385.32 

390.64 

395.48 

800 

2900 

344.03 

352.04 

359.62 

366.76 

373.45 

379.69 

385.47 

390.78 

395.61 

700 

3000 

344.26 

352.26 

359.83 

366.95 

373.63 

379.86 

385.63 

390.92 

395.74 

600 

3100 

344.49 

352.48 

360.03 

367.14 

373.81 

380.03 

385.78 

391.06 

395.87 

500 

3200 

344.71 

352.69 

360.24 

367.33 

373.99 

380.19 

385.94 

391.20 

395.99 

400 

3300 

344.94 

352.91 

360.44 

367.52 

374.17 

380.36 

386.09 

391.34 

396.12 

300 

3400 

345.17 

353.12 

360.64 

367.71 

374.35 

380.52 

386.24 

391.48 

396.25 

200 

3500 

345.39 

353.34 

360.85 

367.90 

374.53 

380.69 

386.39 

391.62 

396.37 

100 

3600 

345.62 

353.55 

361.05 

368.09 

374.71 

380.85 

386.54 

391.76 

396.50 

0 

O 

O 

O 

O 

O 

o 

O 

O 

O 

62  — 

61  — 

6O  — 

59  — 

58  — 

57  — 

56  — 

55  — 

54  — 

152  + 

151  + 

150  + 

149  + 

148  + 

147  + 

146  + 

145  + 

144  + 

9 

9 

242- 

241- 

240- 

239  — 

238  — 

237  — 

236  — 

235- 

234- 

332  + 

331  + 

33O  + 

329  + 

328  + 

327  + 

326  + 

325  + 

324  + 

231 


TABLE  LXXXII.    ARGUMENT  7T. 


Equation  =  —  416".9  sin.  2j. 


3O6  + 

3O7  + 

308  + 

309  + 

3  1O  + 

3I°1  + 

312  + 

313  + 

314  + 

216- 

217- 

218  — 

219- 

220- 

221  - 

222- 

223- 

224- 

y 

y 

126  + 

127  + 

128  + 

129  + 

130  + 

131  + 

132  + 

133  + 

134  + 

36- 

37- 

38- 

39- 

40- 

41- 

42- 

43- 

44- 

to 

0 

396.50 

400.75 

404.51 

407.78 

410.56 

412.84 

414.61 

415.89 

416.65 

3600 

100 

396.62 

400.86 

404.61 

407.86 

410.63 

412.90 

414.65 

415.92 

416.66 

3500 

200 

396.75 

400.97 

404.71 

407.95 

410.70 

412.95 

414.70 

415.94 

416.68 

3400 

300 

396.87 

401.08 

404.81 

408.03 

410.77 

413.01 

414.74 

415.97 

416.69 

3300 

400 

396.99 

401.19 

404.91 

408.11 

410.84 

413.06 

414.78 

416.00 

416.70 

3200 

500 

397.12 

401.30 

405.00 

408.20 

410.91 

413.12 

414.82 

416.02 

416.72 

3100 

600 

397.24 

401.41 

405.10 

408.28 

410.98 

413.17 

414.86 

416.05 

416.73 

3000 

700 

397.36 

401.52 

405.19 

408.36 

411.05 

413.22 

414.90 

416.07 

416.74 

2900 

800 

397.48 

401.63 

405.29 

408.45 

411.11 

413.28 

414.94 

416.10 

416.75 

2800 

900 

397.60 

401.74 

405.38 

408.53 

411.18 

413.33 

414.98 

416.12 

416.76 

2700 

1000 

397.72 

401.85 

405.47 

408.61 

411.25 

413.38 

415.02 

416.14 

416.77 

2600 

1100 

397.85 

401.95 

405.57 

408.69 

411.31 

413.43 

415.05 

416.17 

416.78 

2500 

1200 

397.97 

402.06 

405.66 

408.77 

411.38 

413.48 

415.09 

416.19 

416.79 

2400 

1300 

398.09 

402.16 

405.75 

408.85 

411.44 

413.54 

415.13 

416.21 

416.80 

2300 

1400 

398.21 

402.27 

405.85 

408.93 

411.51 

413.59 

415.16 

416.24 

416.80 

2200 

1500 

398.33 

402.37 

405.94 

409.01 

411.57 

413.64 

415.20 

416.26 

416.81 

2100 

1600 

398.45 

402.48 

406.03 

409.09 

411.63 

413.69 

415.24 

416.28 

416.82 

2000 

1700 

398.56 

402.58 

406.12 

409.16 

411.70 

413.74 

415.27 

416.30 

416.82 

1900 

1800 

398.68 

402.69 

406.21 

409.24 

411.76 

413.79 

415.31 

416.32 

416.83 

1800 

1900 

398.80 

402.79 

406.30 

409.32 

411.82 

413.84 

415.34 

416.34 

416.84 

1700 

2000 

398.91 

402.90 

406.39 

*   409.39 

411.89 

413.88 

415.38 

416.37 

416.84 

1600 

2100 

399.03 

403.00 

406.48 

409.47 

411.95 

413.93 

415.41 

416.39 

416.85 

1500 

2200 

399.15 

403.10 

406.57 

409.54 

412.01 

413.98 

415.44 

416.41 

416.86 

1400 

2300 

399.26 

403.21 

406.66 

409.62 

412.08 

414.02 

415.48 

416.43 

416.86 

1300 

2400 

399.38 

403.31 

406.75 

409.69 

412.14 

414.07 

415.51 

416.45 

416.87 

1200 

2500 

399.50 

403.41 

406.84 

409.77 

412.20 

414.12 

415.54 

416.47 

416.87 

1100 

2600 

399.61 

403.52 

406.93 

409.84 

412.26 

414.16 

415.58 

416.48 

416.88 

1000 

2700 

399.73 

403.62 

407.02 

409.92 

412.32 

414.21 

415.61 

416.50 

416.88 

900 

2800 

399.84 

403.72 

407.11 

409.99 

412.38 

414.26 

415.64 

416.52 

416.88 

800 

2900 

399.96 

403.82 

407.19 

410.07 

412.44 

414.30 

415.68 

416.53 

416.89 

700 

3000 

400.07 

403.92 

407.28 

410.14 

412.50 

414.35 

415.71 

416.55 

416.89 

600 

3100 

400.18 

401.02 

407.36 

410.21 

412.56 

414.39 

415.74 

416.57 

416.89 

500 

3200 

400.30 

404.12 

407.45 

410.28 

412.61 

414.44 

415.77 

416.58 

416.90 

400 

3300 

100.41 

40422 

407.53 

410.35 

412.67 

414.48 

415.80 

416.60 

416.90 

300 

3400 

400.52 

404.32 

407.61 

410.42 

412.73 

414.52 

415.83 

416.62 

416.90 

200 

MOO 

400.64 

404.41 

407.70 

410.49 

412.78 

414.57 

415.86 

416.63 

416.90 

100 

3600 

400.75 

404.51 

407.78 

410.56 

412.84 

414.61 

415.N9 

416.65 

416.90 

0 

aa- 

««- 

Sl- 

*»- 

o 

49  — 

48- 

47- 

O 

46  — 

o 

45  — 

143  + 

142  + 

141  + 

140  + 

139  + 

138  + 

137  + 

136  + 

133  + 

y 

y 

233  - 

232  - 

231  — 

230- 

229- 

228- 

227- 

226- 

225- 

323  + 

322  + 

321  + 

32O  + 

319  + 

318  + 

317  + 

316  + 

315  + 

232 


TABLES  Vr.-XXI.IV 


ABGUMENTS   AND   EQUATIONS. 


TABLE. 

ARGUMENT. 

EQUATION. 

VI". 

1 

76.0  —  73.563  sin.  x  —  9".993  sin.  2x  —  1".071  sin.  3a: 

—  0".104  sin.  4x  —  0".008  sin.  5x. 

VII". 

2 

11.2  —11.  18  sin.  (2t  —  a)  —  0".304  sin.  (4<  —  2x). 

VIII". 

3 

31.16  +  0.345  sin.  t  —  20".808  sin.  2t  —  0".023  sin.  3« 

—  0".65  sin.  4t. 

XI". 

6 

0.42  —  0.420  sin.  (2<  —  z  —  x). 

XII". 

7 

5.12  —  5.117  sin.  (2t  +  x). 

XIII". 

8 

1.73  —  1.727  sin.  (2«  —  z). 

XIV". 

9 

0.41  —  0.411  sin.  (x  —  z). 

XV". 

10 

0.41  +  0.413  sin.  (x  +  z). 

XVI". 

11 

0.29  -+-  0.288  sin.  (2y  —  x). 

XVIII". 

13 

0.92  —  0.920  sin.  (4«  —  a;). 

XIX". 

14 

0.08  -j-  0.083  sin.  (2t  +  z  —  a;). 

XX". 

15 

0.31  +  0.306  sin.  (2<  +  z). 

XXI". 

16 

0.80  —  0.100  sin.  (2«  +  2x). 

XXII". 

17 

0.06  —  0.057  sin.  (t  +  z). 

XXIII". 

18 

0.35  —  0.354  sin.  (2<  -f  x  —  z). 

XXIV". 

19 

0.05  +  0.054  sin.  (3.r  —  2t). 

XXV". 

20 

0.11—  0.115  sin.  (2x  —  z). 

XXVII". 

22 

0.07  —  0.074  sin.  (2t  —  2z). 

XXIX". 

24 

0.10  +  0.102  sin.  (2a;  +  z). 

XXX". 

25 

0.08  +  0.081  sin.  (2t  +  z  +  a:). 

XXXI". 

26 

0.14  —  0.137  sin.  (4t  +  x). 

XXXV". 

30 

0.19  —  0.087  sin.  (4*  —  x  —  z). 

VI.IV- 

1 

0.45  +  0.239  sin.  x  +  0".130  sin.  2x  +  0".031  sin.  Sir 

+  0".005  sin.  4a;. 

VII.IT- 

2 

0.03  +  0.027  sin.  (2t  —  x)  +  0".003  sin.  (4«  —  2*). 

VIII.IT- 

3 

0.31  +  0.303  sin.  2t  +  0".006  sin.  3*  +  0".029  sin.  4*. 

XII.IV- 

7 

0.14  +  0.136  sin.  (2«  +  x). 

XIII.IV- 

8 

0.02  +  0.018  sin.  (2t  —  x). 

xvm.IV- 

13 

0.02  +  0.022  sin.  (4«  —  x). 

XXI.17- 

16 

0.03  +  0.033  sin.  (2t  +  2s). 

233 


TABLE  VI".    ARGUMENT  1. 


Equation  =  76".  —  73".563  sin.  *—  9".993  sin.  2*  —  1".071  sin.  5x  —  0".104  sin.  4x  —  0".008  sin.  5*. 

Period,  27.55455246  days. 


Days.       O 

1 

2 

3 

4 

S 

6 

7 

8 

9 

Days, 

.00 

148.41 

151.14 

149.71 

143.45 

132.05 

115.85 

95.92 

74.04 

52.34 

32.97 

.01 

148.45 

151.15 

149.67 

143.36 

131.91 

115.67 

95.71 

73.82 

63.13 

32.80 

.02 

148.50 

151.16 

149.63 

143.27 

131.77 

115.48 

95.50 

73.60 

51.9-2 

32.62 

.03 

148.54 

151.16 

149.59 

143.18 

131.63 

115.30 

95.28 

73.38 

51.72 

32.45 

.04 

148.58 

151.17 

149.55 

143.09 

131.49 

115.11 

95.07 

73.15 

51.51 

32.27 

.05 

148.63 

151.17 

149.51 

143.00 

131.34 

114.93 

94.86 

72.93 

51.30 

32.10 

.06 

148.67 

151.18 

149.47 

142.91 

131.20 

114.74 

94.64 

72.71 

51.10 

31.93 

.07 

148.72 

151.18 

149.43 

142.82 

131.06 

114.56 

94.43 

72.48 

50.89 

31.75 

.08 

148.76 

151.18 

149.39 

142.72 

130.91 

114.37 

94.22 

72.26 

50.69 

31.58 

.09 

148.80 

151.19 

149.35 

142.63 

130.77 

114.19 

94.01 

72.04 

50.48 

31.40 

.10 

148.84 

151.19 

149.31 

142.54 

130.63 

114.00 

93.79 

71.82 

50.27 

31.23 

.11 

148.88 

151.19 

149.27 

142.44 

130.48 

113.81 

93.58 

71.60 

50.06 

31.06 

.12 

148.92 

151.19 

149.23 

142.35 

130.34 

113.62 

93.36 

71.38 

49.86 

30.89 

.13 

148.97 

151.20 

149.18 

142.26 

130.19 

113.44 

93.15 

71.16 

49.65 

30.72 

.14 

149.01 

151.20 

149.14 

142.17 

130.05 

113.25 

92.93 

70.94 

49.45 

30.55 

.15 

149.05 

151.20 

149.10 

142.07 

129.90 

1  13.06 

92.72 

70.71 

49.24 

30.38 

.16 

149.09 

151.20 

149.05 

141.97 

129.76 

1  12.87 

92.50 

70.49 

49.04 

30.21 

.17 

149.13 

151.21 

149.01 

141.87 

129.61 

112.68 

92.29 

70.27 

48.83 

30.04 

.18 

149.17 

151.21 

148.96 

141.78 

129.47 

112.49 

92.07 

70.05 

48.63 

29.87 

.19 

149.21 

151.21 

148.92 

141.68 

129.32 

112.30 

91.86 

69.83 

48.42 

29.70 

.20 

149.25 

151.21 

148.87 

141.58 

129.17 

112.11 

91.64 

69.61 

48.22 

29.53 

.21 

149.29 

151.21 

148.82 

141.48 

129.02 

111.92 

91.42 

69.39 

48.02 

29.36 

.22 

149.33 

151.21 

148.78 

141.38 

128.87 

111.73 

91.21 

69.17 

47.82 

29.20 

.23 

149.37 

151.20 

148.73 

141.28 

128.72 

111.53 

90.99 

68.95 

47.62 

29.03 

.24 

149.40 

151.20 

148.68 

141.18 

128.57 

111.34 

90.78 

68.73 

47.41 

28.87 

.25 

149.44 

151.20 

148.63 

141.08 

128.42 

111.15 

90.56 

68.50 

47.21 

28.70 

.26 

149.47 

151.19 

148.58 

140.98 

128.27 

110.96 

90.34 

68.28 

47.01 

28.53 

.27 

149.51 

151.19 

148.53 

140.88 

128.11 

110.77 

90.12 

68.06 

46.80 

28.37 

.28 

149.54 

151.19 

148.47 

140.77 

127.96 

110.57 

89.91 

67.84 

46.60 

28.20 

.29 

149.58 

151.18 

148.42 

140.67 

127.81 

110.38 

89.69 

67.62 

46.40 

28.04 

.30 

14962 

151.18 

148.37 

140.57 

127.66 

110.19 

89.47 

67.40 

46.20 

27.87 

.31 

149.65 

151.17 

148.31 

140.47 

127.31 

109.99 

89.25 

67.18 

46.00 

27.71 

.32 

149.68 

151.17 

148.26 

140.36 

127.35 

109.80 

89.03 

66.96 

45.80 

27.66 

.33 

149.72 

151.16 

148.20 

140.25 

127.20 

109.61 

88.82 

66.74 

45.60 

27.38 

.34 

149.75 

151.16 

148.15 

140.14 

127.04 

109.42 

88.60 

66.52 

45.40 

27.22 

.35 

•149.79 

151.15 

148.09 

140.04 

126.89 

109.22 

88.38 

66.30 

45.20 

27.06 

.36 

149.82 

151.14 

148.04 

139.93 

126.73 

109.02 

88.16 

66.09 

45.01 

26.90 

.37 

149.86 

151.14 

147.98 

139.82 

126.58 

108.83 

87.94 

65.87 

44.81 

20.7  1 

.38 

149.89 

151.13 

147.93 

189.73 

126.42 

108.63 

87.73 

65.65 

44.61 

26.58 

.39 

149.92 

151.12 

147.87 

139.61 

126.26 

108.44 

87.51 

65.43 

44.41 

26.42 

.40 

149.95 

151.11 

147.82 

139.50 

126.10 

108.24 

87.29 

65.21 

41.21 

26.26 

.41 

149.98 

151.10 

147.7C 

139.3! 

125.94 

108.04 

87.07 

6  1.99 

1  I.I) 

26.10 

.42 

150.01 

151.09 

147.71 

139.28 

125.78 

107.84 

86.85 

64.77 

13.82 

25.94 

.43 

150.0 

151.08 

147.65 

139.17 

125.62 

107.65 

86.63 

64.55 

43.62 

25.79 

.44 

150.07 

151.07 

147.59 

139.06 

125.46 

107.45 

86.41 

64.34 

43.43 

25.63 

.45 

150.10 

151.06 

147.53 

138.95 

125.30 

107.25 

86.19 

CI.1-. 

43.23 

25.47 

.46 

150.13 

151.05 

147.47 

138.8 

125.14 

107.05 

85.97 

63.90 

43.03 

'25.31 

.47 

150.16 

151.03 

147.4 

188.7J 

124.98 

106.85 

85.75 

63.69 

42.84 

25.16 

.48 

150.19 

151.02 

147.3 

188.6 

124.82 

106.65 

85.53 

(i.'f.  17 

42.64 

25.00 

.49 

150.22 

151.01 

147.28 

138.50 

124.66 

106.45 

85.31 

63.25 

42.45 

24.85 

.50 

150.25 

151.00 

147.22 

138.39 

IS4.M 

106.25 

85.09 

63.03 

42.25 

24.69 

TABLE  VI".    ARGUMENT  1. 


Equation  =  76".  —  73".563  sin.  x—  9'  .993  sin.  2x  —  1".071  sin.  3x  —  0".104  sin.  4x  —  0".008  sin.  5x. 

Period,  27.55455246  days. 


Days.        O 

1 

3 

3 

4 

S 

6 

7 

8 

9 

Days. 

.50 

150.25 

151.  00 

147.22 

138.39 

124.50 

106.25 

85.09 

63.03 

42.25 

24.69 

.51 

150.28 

150.98 

147.16 

138.27 

124.34 

106.05 

84.87 

62.81 

42.06 

24.54 

.52 

150.30 

150.97 

147.09 

138.16 

124.17 

105.85 

84.65 

62.59 

41.86 

24.38 

.53 

150.33 

150.95 

147.03 

138.04 

124.01 

105.65 

84.43 

62.38 

41.67 

24.23 

.54 

150.35 

150.94 

146.96 

137.93 

123.84 

105.45 

84.21 

62.16 

41.47 

24.07 

.55 

150.38 

150.92 

146.90 

137.81 

123.68 

105.25 

83.99 

61.94 

41.28 

23.92 

.56 

150.40 

150.91 

146.83 

137.69 

123.51 

105.05 

83.77 

61.73 

41.09 

23.77 

.57 

150.43 

150.89 

146.77 

137.57 

123.35 

104.85 

83.55 

61.51 

40.90 

23.62 

.58 

150.45 

150.87 

146.70 

137.46 

123.18 

104.64 

83.33 

61.30 

40.70 

23.47 

.59 

150.48 

150.85 

146.64 

137.34 

123.02 

104.44 

83.11 

61.08 

40.51 

23.32 

.60 

150.50 

150.83 

146.57 

137.22 

122.85 

104.24 

82.89 

60.86 

40.32 

23.17 

.61 

150.52 

150.81 

146.50 

137.10 

122.68 

104.04 

82.67 

60.64 

40.13 

23.02 

.62 

150.54 

150.79 

146.43 

136.98 

122.51 

103.83 

82.45 

60.43 

39.94 

22.87 

.63 

150.57 

150.77 

146.37 

136.86 

122.35 

103.63 

82.23 

60.21 

39.75 

22.73 

.64 

150.59 

150.75 

146.30 

136.74 

122.18 

103.42 

82.01 

60.00 

39.56 

22.58 

.65 

150.62 

150.73 

146.23 

136.62 

122.01 

103.22 

81.79 

59.78 

39.37 

22.43 

.66 

150.64 

150.71 

146.16 

136.50 

121.84 

103.02 

81.57 

59.56 

39.18 

22.28 

.67 

150.66 

150.68 

146.09 

136.37 

121.67 

102.81 

81.35 

59.35 

39.00 

22.13 

.68 

150.68 

150.66 

146.01 

136.25 

121.50 

102.61 

81.12 

59.13 

38.81 

21.99 

.69 

150.70 

150.64 

145.94 

136.12 

121.33 

102.40 

80.90 

58.92 

38.62 

21.84 

.70 

150.72 

150.62 

145.87 

136.00 

121.16 

102.20 

80.68* 

58.70 

38.43 

21.69 

.71 

150.74 

150.60 

145.79 

135.88 

120.99 

101.99 

80.46 

58.49 

38.24 

21.55 

.72 

150.76 

150.58 

145.72 

135.75 

120.82 

101.78 

80.24 

58.27 

38.06 

21.40 

.73 

150.78 

150.55 

145.64 

135.63 

120.64 

101.58 

80.02 

58.06 

37.87 

21.26 

.74 

150.80 

150.53 

145.57 

135.50 

120.47 

101.38 

79.80 

57.84 

37.69 

21.11 

.75 

150.81 

150.50 

145.49 

135.38 

120.30 

101.17 

79.58 

57.63 

37.50 

20.97 

.76 

150.83 

150.47 

145.41 

135.25 

120.13 

100.96 

79.36 

57.42 

37.31 

20.83 

.77 

150.85 

150.45 

145.34 

135.12 

119.95 

100.75 

79.14 

57.20 

37.13 

20.69 

.78 

150.86 

150.42 

145.26 

135.00 

119.78 

100.55 

78.91 

56.99 

36.94 

20.55 

.79 

150.88 

150.40 

145.19 

134.87 

119.60 

100.34 

78.69 

56.77 

36.76 

20.41 

.80 

150.90 

150.37 

145.11 

134.74 

119.43 

100.13 

78.47 

56.56 

36.57 

20.27 

.81 

150.91 

150.34 

145.03 

134.61 

119.25 

99.92 

78.25 

56.35 

36.39 

20.13 

.82 

150.93 

150.31 

144.95 

134.48 

119.08 

99.71 

78.03 

56.14 

36.21 

19.99 

.83 

150.94 

150.28 

144.88 

134.35 

118.90 

99.51 

77.80 

55.92 

36.02 

19.86 

.84 

150.95 

150.25 

144.80 

134.22 

118.73 

99.30 

77.58 

55.71 

35.84 

19.72 

.85 

150.97 

150.22 

144.72 

134.09 

118.55 

99.09 

77.36 

55.50 

35.66 

19.58 

.86 

150.98 

150.19 

144.64 

133.96 

118.37 

98.88 

77.14 

55.29 

35.48 

19.44 

.87 

151.00 

150.15 

144.56 

133.82 

118.19 

98.67 

76.92 

55.08 

35.30 

19.30 

.88 

151.01 

150.12 

144.47 

133.69 

118.02 

98.46 

76.69 

54.86 

35.11 

19.17 

.89 

151.02 

150.09 

144.39 

133.55 

117.84 

98.25 

76.47 

54.65 

34.93 

19.03 

.90 

151.04 

150.06 

144.31 

133.42 

117.66 

98.04 

76.25 

54.44 

34.75 

18.89 

.91 

151.05 

150.03 

144.23 

133.28 

117.48 

9783 

76.03 

54.23 

34.57 

18.76 

.92 

151.06 

150.00 

144.14 

133.15 

117.30 

97.62 

75.81 

54.02 

34.39 

18.62 

.93 

151.07 

149.96 

144.06 

133.01 

117.12 

97.40 

75.59 

53.81 

34.21 

18.49 

.94 

151.08 

149.93 

143.97 

132.88 

116.94 

97.19 

75.37 

53.60 

34.04 

18.35 

-.95 

151.09 

149.89 

143.89 

132.74 

116.76 

96.98 

75.15 

53.39 

33.86 

18.22 

.96 

151.10 

149.86 

143.80 

132.60 

116.58 

96.77 

74.93 

53.18 

33.68 

18.09 

.97 

151.11 

149.82 

143.71 

132.46 

116.40 

96.56 

74.71 

52.97 

33.51 

17.96 

.98 

151.12 

149.79 

143.63 

132.33 

116.21 

96.34 

74.48 

52.76 

33.33 

17.82 

.99 

151.13 

149.75 

143.54 

132.19 

116.03 

96.13 

74.26 

52.55 

33.15 

17.69 

1.00 

151.14 

149.71 

143.45 

132.05 

115.85 

95.92 

74.04 

52.34 

32.97 

17.56 

235 


TABLE  VI'.    ARGUMENT  1. 

>«. 

Equation  =  76".  —  73".563  sin.  x— 9".993  sin.  2x  —  1".071  sin.  3*  —  0".104  sin.  4x  —  0".008  sin.  5*. 

Period,  27.55455246  days. 


Days.        1O 

11 

13 

13 

14 

15 

16 

17 

18 

Days. 

.00 

17.56 

7.07 

1.70 

1.07 

4.46 

li.oi 

19.91 

30.46 

42.11 

.01 

17.43 

6.99 

1.67 

1.09 

4.51 

11.09 

20.01 

30.57 

42.23 

.02 

.    17.30 

6.91 

1.64 

1.10 

4.56 

11.17 

20.11 

30.68 

42.35 

.03 

17.17 

6.84 

1.62 

1.12 

4.62 

11.25 

20.21 

30.80 

42.47 

.04 

17.04 

6.76 

1.59 

1.13 

4.67 

11.33 

20.31 

30.91 

42.59 

.05 

16.91 

6.68 

1.56 

1.15 

4.72 

11.41 

20.41 

31.02 

42.71 

.06 

16.78 

6.61 

1.53 

1.17 

4.77 

11.49 

20.50 

31.14 

42.84 

.07 

16.66 

6.53 

1.51 

1.19 

4.83 

11.57 

20.60 

31.25 

42.96 

.08 

16.53 

6.46 

1.48 

1.20 

4.88 

11.65 

20.70 

31.37 

43.08 

.09 

16.41 

6.38 

1.46 

1.22 

4.94 

11.73 

20.80 

31.48 

43.20 

.10 

16.28 

6.31 

1.43 

1.24 

4.99 

11.81 

20.90 

31.59 

43.32 

.11 

16.16 

6.24 

1.41 

1.26 

5.04 

11.89 

21.00 

31.70 

43.44 

.12 

16.03 

6.16 

1.38 

1.28 

5.10 

11.97 

21.10 

31.81 

43.56 

.13 

15.91 

6.09 

1.36 

1.30 

5.15 

12.06 

21.20 

31.93 

43.68 

.14 

15.78 

6.01 

1.33 

1.32 

5.21 

12.14 

21.30 

32.04 

43.80 

.15 

15.66 

5.94 

1.31 

1.34 

5.26 

12.22 

21.40 

32.15 

43.92 

.16 

15.54 

5.87 

1.29 

1.36 

5.32 

12.30 

21.51 

32.27 

44.05 

.17 

15.42 

5.80 

1.27 

1.38 

5.37 

12.38 

21.61 

32.38 

44.17 

.18 

15.29 

5.73 

1.25 

1.41 

5.43 

12.47 

21.71 

32.50 

44.29 

.19 

15.17 

5.66 

1.23 

1.43 

5.48 

12.55 

21.81 

32.61 

44.41 

.20 

15.05 

5.59 

1.21 

1.45 

5.54 

12.63 

21.91 

32.72 

44.53 

.21 

14.93 

5.52 

1.19 

1.47 

5.60 

12.71 

22.01 

32.83 

44.65 

.22 

14.81 

5.45 

1.17 

1.50 

5.66 

12.80 

22.11 

32.94 

44.77 

.23 

14.69 

5.39 

1.16 

1.52 

5.71 

12.88 

22.21 

33.06 

44.89 

.24 

14.57 

5.32 

1.14 

1.55 

5.77 

12.97 

22.32 

33.17 

45.02 

.25 

14.45 

5.25 

1.12 

1.57 

5.83 

13.05 

22.42 

33.29 

45.14 

.26 

14.33 

5.19 

1.10 

1.60 

5.89 

13.13 

22.52 

33.40 

45.26 

.27 

14.22 

5.12 

1.09 

1.62 

5.95 

13.22 

22.63 

33.52 

45.39 

.28 

14.10 

5.06 

1.07 

1.65 

6.01 

13.30 

22.73 

33.63 

45.51 

.29 

13.99 

4.99 

1.06 

1.67 

6.07 

13.39 

22.83 

33.75 

45.63 

.30 

13.87 

4.93 

1.04 

1.70 

6.13 

13.47 

22.93 

33.86 

45.75 

.31 

13.76 

4.87 

1.03 

1.73 

6.19 

13.56 

23.03 

33.98 

45.87 

.32 

13.64 

4.81 

1.01 

1.76 

6.25 

13.64 

23.14 

34.09 

45.99 

.33 

13.53 

4.74 

1.00 

1.78 

6.32 

13.73 

23.24 

34.21 

46.12 

.34 

13.41 

4.68 

0.98 

1.81 

6.38 

13.81 

23.34 

34.32 

46.24 

.35 

13.30 

4.62 

0.97 

1.84 

6.44 

13.90 

23.45 

34.44 

46.36 

.36 

13.19 

4.56 

0.96 

1.87 

6.50 

13.99 

23.55 

34.56 

46.49 

.37 

13.08 

4.50 

0.95 

1.90 

6.56 

14.07 

23.66 

34.67 

46.61 

.38 

12.97 

4.44 

0.93 

1.93 

6.63 

14.16 

23.76 

34.79 

46.74 

.39 

12.86 

4.38 

0.92 

1.96 

6.69 

14.24 

23.87 

34.90 

46.86 

.40 

12.75 

4.32 

0.91 

1.99 

6.75 

14.33 

23.97 

35.02 

46.98 

.41 

12.64 

4.26 

0.90 

2.02 

6.81 

14.42 

24.07 

35.14 

47.10 

.42 

12.53 

4.20 

0.89 

2.05 

6.88 

14.51 

24.18 

35.25 

47.22 

.43 

12.42 

4.15 

0.88 

2.09 

6.94 

14.59 

24.28 

35.37 

47.35 

.44 

12.31 

4.09 

0.87 

2.12 

7.01 

14.68 

24.39 

35.48 

47.47 

.45 

12.20 

4.03 

0.86 

2.15 

7.07 

14.77 

24.49 

35.60 

47.53 

.46 

12.09 

3.97 

0.85 

2.18 

7.13 

14.86 

24.60 

35.72 

47.72 

.47 

11.99 

3.92 

0.85 

2.22 

7.20 

14.95 

24.70 

35.83 

47.84 

.48 

11.88 

3.86 

0.84 

2.25 

7.26 

15.03 

24.81 

35.95 

47.97 

.49 

11.78 

3.81 

0.84 

2.29 

7.33 

15.12 

24.91 

36.06 

48.09 

.50 

11.67 

3.75 

0.83 

2.32 

7.39 

15.21 

25.02 

36.18 

48.21 

TABLE  VI".    ARGUMENT  1. 

Equation  =  76".  —  73".563  sin.  x  —  9".993  sin.  2a:  —  1".07 1  sin.  3x  —  0".  104  sin.  4*  —  0".008  sin.  5x. 

Period,  27.55455246  days. 


Days.        1O 

11 

12 

13 

14 

15 

16 

17 

IS 

Days. 

.50 

11.67 

3.75 

0.83 

2.32 

7.39 

15.21 

25.02 

36.18 

48.21 

.51 

11.57 

3.70 

0.83 

2.35 

7.46 

15.30 

25.13 

36.30 

48.33 

.52 

11.46 

3.65 

0.82 

2.39 

7.52 

15.39 

25.23 

36.42 

48.46 

.53 

11.36 

3.59 

0.82 

2.42 

7.59 

15.48 

25.34 

36.53 

48.58 

.54 

11.25 

3.54 

0.81 

2.46 

7.65 

15.57 

25.44 

36.65 

48.71 

.55 

11.15 

3.49 

0.81 

2.49 

7.72 

15.66 

25.55 

36.76 

48.83 

.56 

11.05 

3.44 

0.81 

2.53 

7.79 

15.75 

25.66 

36.88 

48.95 

.57 

10.95 

3.39 

0.81 

2.56 

7.86 

15.84 

25.76 

37.00 

49.08 

.58 

10.85 

3.35 

0.80 

2.60 

7.92 

15.93 

25.87 

37.11 

49.20 

.59 

10.75 

3.30 

0.80 

2.63 

7.99 

16.02 

25.97 

37.23 

49.33 

.60 

10.65 

3.25 

0.80 

2.67 

8.06 

16.11 

26.08 

37.35 

49.45 

.61 

10.55 

3.20 

0.80 

2.71 

8.13 

16.20 

26.19 

37.47 

49.57 

.62 

10.45 

3.15 

0.80 

2.75 

8.20 

16.29 

26.30 

37.59 

49.70 

.63 

10.36 

3.11 

0.80 

2.78 

8.27 

16.39 

26.40 

37.71 

49.82 

.64 

10.26 

3.06 

0.79 

2.82 

8.34 

16.48 

26.51 

37.82 

49.95 

.65 

10.16 

3.01 

0.79 

2.86 

8.41 

16.57 

26.62 

37.94 

50.07 

.66 

10.06 

2.97 

0.79 

2.90 

8.48 

16.66 

26.78 

38.06 

50.19 

.67 

9.97 

2.92 

0.80 

2.94 

8.55 

16.76 

26.84 

38.17 

50.32 

.68 

9.87 

2.88 

0.80 

2.99 

8.62 

16.85 

26.94 

38.29 

50.44 

.69 

9.78 

2.83 

0.80 

3.03 

8.69 

16.95 

27.05 

38.41 

50.57 

.70 

9.68 

2.79 

0.80 

3.07 

8.76 

17.04 

27.16 

38.53 

50.69 

.71 

9.59 

2.75 

0.80 

3.11 

8.83 

17.13 

27.27 

38.65 

50.81 

.72 

9.49 

2.71 

0.81 

3.15 

8.90 

17.23 

27.38 

38.77 

50.94 

.73 

9.40 

2.66 

0.81 

3.20 

8.98 

17.32 

27.48 

38.89 

51.06 

.74 

9.30 

2.62 

0.82 

3.24 

9.05 

17.42 

27.59 

39.00 

51.19 

.75 

9.21 

2.58 

0.82 

3.28 

9.12 

17.51 

27.70 

39.12 

51.31 

.76 

9.12 

2.54 

0.83 

3.32 

9.19 

17.60 

27.81 

39.24 

51.44 

.77 

9.03 

2.50 

0.83 

3.37 

9.27 

17.70 

27.92 

39.35 

51.56 

.78 

8.94 

2.46 

0.84 

3.41 

9.34 

17.79 

28.03 

39.47 

51.69 

.79 

8.85 

2.42 

0.84 

3.46 

9.42 

17.89 

28.14 

39.59 

51.81 

.80 

8.76 

2.38 

0.85 

3.50 

9.49 

17.98 

28.25 

39.71 

51.94 

.81 

8.67 

2.34 

0.8G 

3.55 

9.56 

18.08 

28.3(! 

39.83 

52.06 

.82 

8.58 

2.30 

0.87 

3.59 

9.64 

18.17 

28.47 

39.95 

52.19 

.83 

8.49 

2.27 

0.87 

3.64 

9.71 

18.27 

28.58 

40.07 

52.31 

.84 

8.40 

2.23 

0.88 

3.68 

9.79 

18.36 

28.69 

40.19 

52.44 

.85 

8.31 

2.19 

0.89 

3.73 

9.86 

18.46 

28.80 

40.31 

52.56 

.86 

8.22 

2.15 

0.90 

3.78 

9.94 

18.56 

28.91 

40.43 

52.69 

.87 

8.14 

2.12 

0.91 

3.82 

10.01 

18.65 

29.02 

40.55 

52.82 

.88 

8.05 

2.08 

0.92 

3.87 

10.09 

18.75 

29.13 

40.67 

52.94 

.89 

7.97 

2.05 

0.93 

3.91 

10.16 

18.84 

29.24 

40.79 

53.07 

.90 

7.88 

2.01 

0.94 

3.96 

10.24 

18.94 

29.35 

40.91 

53.19 

.91 

7.80 

1.98 

0.95 

4.01 

10.32 

19.04 

29.46 

41.03 

53.31 

.92 

7.72 

1.95 

0.96 

4.06 

10.39 

19.14 

29.57 

41.15 

53.44 

.93 

7.63 

1.91 

0.98 

4.11 

10.47 

19.23 

29.68 

41.27 

53.56 

.94 

7.55 

1.88 

0.99 

4.16 

10.54 

19.33 

29.79 

41.39 

53.69 

.95 

7.47 

1.85 

1.00 

4.21 

10.62 

19.42 

29.90 

41.51 

53.81 

.96 

7.39 

1.82 

1.01 

4.26 

10.70 

19.52 

30.01 

41.63 

53.94 

.97 

7.31 

1.79 

1.03 

4.31 

10.78 

19.62 

30.13 

41.75 

54.07 

.98 

7.23 

1.76 

1.04 

4.36 

10.85 

19.71 

30.24 

41.87 

54.19 

.99 

7.15 

1.73 

1.06 

4.41 

10.93 

19.81 

30.35 

41.99 

54.32 

1.00 

7.07 

1.70 

1.07 

4.46 

11.01 

19.91 

30.46 

42.11 

54.44 

- 

237 


TABLE  VI".    ARGUMENT  1. 

Equation  =  76".  —  73".563  sin.  x  —  9'  .993  sin.  2*  —  1".07 1  sin.  3*  —  0".  104  sin.  4r  —  0".008  sin.  5x. 

Period,  27.55455246  days. 


Days.       19 

30 

31 

33 

33 

34 

35 

36 

37 

Days. 

.00 

54.44 

67.15 

80.01 

92.79 

105.30 

117.25 

128.27 

137.87 

145.39 

.01 

54.57 

67.28 

80.14 

92.92 

105.42 

117.37 

128.37 

137.96 

145.45 

.02 

S4.6& 

67.41 

80.27 

93.05 

105.54 

1  17.48 

128.47 

138.04 

145.51 

.03 

54.82 

67.54 

80.40 

93.17 

105.67 

117.60 

128.58 

138.13 

145.57 

.04 

54.94 

67.67 

80.52 

93.30 

105.79 

117.71 

128.68 

138.21 

145.63 

.05 

55.07 

67.80 

80.65 

93.42 

105.92 

117.83 

128.78 

138.30 

145.70 

.06 

55.20 

67.92 

80.78 

93.55 

106.04 

117.95 

128.89 

138.39 

145.76 

.07 

55.32 

68.05 

80.90 

93.68 

106.16 

118.05 

128.99 

138.47 

145.82 

.08 

55.45 

68.18 

81.03 

93.80 

106.29 

118.17 

129.10 

138.56 

145.88 

.09 

55.57 

68.31 

81.16 

93.93 

106.41 

118.28 

129.20 

138.64 

145.94 

.10 

55.70 

68.44 

81.29 

94.06 

106.53 

118.40 

129.30 

138.73 

146.00 

.11 

55.83 

68.57 

81.42 

94.19 

106.65 

118.51 

129.40 

138.81 

146.06 

.12 

55.95 

68.70 

81.55 

94.32 

106.77 

118.63 

129.50 

138.89 

146.12 

.13 

56.08 

68.83 

81.68 

94.44 

106.89 

118.74 

129.60 

138.98 

146.18 

.14 

56.20 

68.95 

81.80 

94.57 

107.02 

118.86 

129.71 

139.06 

146.23 

.15 

56.33 

69.08 

81.93 

94.69 

107.14 

118.97 

129.81 

139.15 

146.29 

.16 

56.46 

69.21 

82.06 

94.82 

107.26 

119.08 

129.91 

139.23 

146.35 

.17 

56.58 

69.33 

82.18 

94.95 

107.39 

119.20 

130.02 

139.31 

146.40 

.18 

56.71 

69.46 

82.31 

95.07 

107.51 

119.31 

130.12 

139.40 

146.46 

.19 

56.83 

69.59 

82.44 

95.20 

107.63 

119.43 

130.22 

139.48 

146.52 

.20 

56.96 

69.72 

82.57 

95.33 

107.75 

119.54 

130.32 

139.56 

146.58 

.21 

57.09 

69.85 

82.70 

95.46 

107.87 

119.65 

130.42 

139.64 

146.61 

.22 

57.22 

69.98 

82.83 

95.58 

107.99 

119.76 

130.52 

139.72 

146.69 

.23 

57.34 

70.11 

82.96 

95.71 

108.11 

119.88 

130.62 

139.80 

146.75 

.24 

57.47 

70.23 

83.09 

95.83 

108.23 

119.99 

130.72 

139.89 

146.80 

.25 

57.59 

70.36 

83.22 

95.96 

108.35 

120.11 

130.82 

139.97 

14686 

.26 

57.72 

70.49 

83.34 

96.09 

108.48 

120.22 

130.92 

140.05 

146.91 

.27 

57.85 

70.61 

83.47 

96.21 

108.60 

120.34 

131.02 

140.14 

146.97 

.28 

57.97 

70.74 

83.60 

96.34 

108.72 

120.45 

131.12 

140.22 

147.02 

.29 

58.10 

70.87 

88.73 

96.46 

108.84 

120.56 

131.22 

140.30 

147.08 

.30 

58.23 

71.00 

83.86 

96.59 

108.96 

120.67 

131.32 

140.38 

147.13 

.31 

58.36 

71.13 

83.99 

96.72 

109.08 

120.78 

131.42 

140.46 

147.  18 

.32 

58.48 

71.26 

84.12 

96.85 

109.20 

120.89 

131  52 

140.54 

147.23 

.33 

58.61 

71.39 

84.25 

96.97 

109.32 

121.00 

131.62 

140.62 

147.28 

.34 

58.73 

71.52 

84.37 

97.10 

109.44 

121.12 

131.72 

1  10.70 

147.34 

.35 

58.86 

71.65 

84.50 

97.22 

109.56 

121.23 

131.82 

140.78 

147.39 

.36 

58.99 

71.77 

84.63 

97.34 

109.68 

121.34 

131.91 

140.85 

147.45 

.37 

59.11 

71.90 

84.75 

97.46 

109.80 

121.46 

132.01 

140.93 

147.50 

.38 

59.24 

72.03 

84.88 

97.59 

109.92 

121.57 

132.11 

111.01 

117.55 

.39 

59.36 

72.16 

85.01 

97.71 

•  110.04 

121.6N 

132.21 

141.09 

147.60 

.40 

59.49 

72.29 

85.14 

97.84 

110.10 

121.79 

132.31 

141.17 

147.65 

.41 

59.62 

72.42 

85.27 

97.97 

110.28 

121.90 

132.41 

141.25 

147.70 

.42 

59.75 

72.55 

85.40 

98.09 

110.40 

122.01 

188.51 

141.32 

147.75 

At 

59.87 

72.68 

85.53 

98.29 

110.52 

122.12 

132.60 

141.40 

147.80 

.11 

60.00 

72.80 

85.65 

98.34 

110.64 

122.23 

132.70 

141.47 

147.85 

.45 

60.12 

72.93 

85.78 

98.47 

110.76 

122.35 

132.80 

141.55 

147.90 

.If, 

60.-^:>          73.06 

88-91 

98.60 

1  IO.HN 

122.46 

183.89 

141.63 

147.94 

.47 

60.3s          73.18 

86.03 

!>s.72 

111.00 

122.57 

132.99 

147.70 

147.99 

.48 

60.50          73.31 

86.16 

.      98.85 

111.12 

122.68 

133.0!) 

141.78 

148.04 

.49 

60.<;:f         7:i.44 

86.29 

98.97 

111.24 

122.79 

133.18 

141.85 

148.09 

.50 

60.76          73.57          86.42 

99.10 

111.36 

132  JO 

133.28 

141.93 

148.14 

238 


TABLE  VI".    ARGUMENT  1. 

Equation  =  76".  —  73".563  sin.  x—  9".993  sin.  2x  —  1".071  sin.  3x  —  0".104  sin.  4x  —  0".008  sin.  5x. 

Period,  27.55455246  days. 


Days.        19 

2O 

31 

33 

29 

34 

25 

26 

37 

Days. 

.50 

60.76 

73.57 

86.42 

99.10 

111.36 

122.90 

133.28 

141.93 

148.14 

.51 

60.89 

73.70 

86.55 

99.23 

111.48 

123.01 

133.38 

142.00 

148.19 

.52 

61.02 

73.83 

86.68 

99.35 

111.60 

123.12 

133.47 

142.08 

148.23 

.53 

61.15 

73.96 

86.81 

99.48 

111.72 

123.23 

133.57 

142.15 

148.28 

.54 

61.27 

74.09 

86.93 

99.60 

111.84 

123.34 

133.66 

142.23 

148.32 

.55 

61.40 

74.22 

87.06 

99.73 

111.96 

123.45 

133.76 

142.30 

148.37 

.56 

61.53 

74.34 

87.19 

99.85 

112.07 

123.56 

133.86 

142.37 

148.41 

.57 

61.65 

74.47 

87.31 

99.98 

112.19 

123.67 

133.95 

142.45 

148.46 

.58 

61.78 

74.60 

87.44 

100.10 

112.31 

123.78 

134.05 

142.52 

148.50 

.59 

61.91 

74.73 

87.57 

100.23 

112.43 

123.89 

134.14 

142.60 

148.55 

.60 

62.04 

74.86 

87.70 

100.35 

112.55 

124.00 

134.24 

142.67 

148.59 

.61 

62.17 

74.99 

87.83 

100.47 

112.67 

124.11 

134.33 

142.74 

148.63 

.62 

62.30 

75.12 

87.96 

100.60 

112.79 

124.22 

134.43 

142.81 

148.67 

.63 

62.42 

75.25 

88.09 

100.72 

112.91 

124.33 

134.52 

142.88 

148.72 

.64 

62.55 

75.38 

88.21 

100.85 

113.03 

124.44 

134.62 

142.96 

148.76 

.65 

62.67 

75.51 

88.34 

100.97 

113.15 

124.55 

134.71 

143.03 

148.80 

.66 

62.80 

75.63 

88.47 

101.09 

113.26 

124.65 

134.80 

143.10 

148.85 

.67 

62.93 

75.76 

88.59 

101.22 

113.38 

124.76 

134.89 

143.18 

148.89 

.68 

63.05 

75.89 

88.72 

101.34 

113.50 

124.87 

134.99 

143.25 

148.93 

.69 

63.18 

76.02 

88.85 

101.47 

113.62 

124.98 

135.07 

143.32 

148.97 

.70 

63.31 

76.15 

88.98 

101.59 

113.71 

125.09 

135.17 

143.39 

149.01 

.71 

63.44 

76.28 

89.11 

101.71 

113.86 

125.20 

135.26 

143.46 

149.05 

.72 

63.57 

76.41 

89.24 

101.84 

113.98 

125.31 

135.35 

143.53 

149.09 

.73 

63.70 

76.54 

89.36 

101.96 

114.10 

125.41 

135.44 

143.60 

149.13 

.74 

63.82 

76.66 

89.49 

102.09 

114.21 

125.52 

135.54 

143.67 

149.17 

.75 

63.95 

76.79 

89.61 

102.21 

114.33 

125.63 

135.63 

143.74 

149.21 

.76 

64.08 

76.92 

89.74 

102.33 

114.45 

125.73 

135.72 

143.80 

149.25 

.77 

64.20 

77.04 

•  89.87 

102.46 

114.56 

125.84 

135.82 

143.87 

149.29 

.78 

64.33 

77.17 

89.99 

102.58 

114.68 

125.94 

135.91 

143.94 

149.33 

.79 

64.46 

77.30 

90.12 

102.71 

114.80 

126.05 

136.00 

144.01 

149.37 

.80 

64.59 

77.43 

90.25 

102.83 

114.92 

126.16 

136.09 

144.08 

149.41 

.81 

64.7'2 

77.56 

90.3H 

102.95 

1  15.04 

1-26.-27 

13  ••!.!« 

144.15 

149.45 

.82 

64.85 

77.69 

90.51 

103.08 

115.16 

126.37 

13627 

144.22 

149.48 

.83 

64.98 

77.82 

90.63 

103.20 

115.27 

126.48 

136.36 

144.28 

149.52 

.84 

65.10 

77.95 

90.76 

103.33 

115.39 

126.58 

136.45 

144.35 

149.55 

.85 

65.23 

78.08 

90.88 

103.45 

115.51 

126.69 

136.54 

144.42 

149.59 

.86 

65.36 

78.20 

91.01 

103.57 

115.62 

126.80 

136.63 

144.48 

149.63 

.87 

65.48 

78.33 

91.14 

103.70 

115.74 

126.90 

136.72 

144.55 

149.66 

.88 

65.61 

78.46 

91.26 

103.82 

115.85 

127.01 

136.81 

144.61 

149.69 

.89 

65.74 

78.59 

91.40 

103.95 

115.97 

127.11 

136.90 

144.68 

149.73 

.90 

65.87 

78.72 

91.52 

104.07 

116.09 

127.22 

136.99 

144.75 

149.76 

.91 

66.00 

78.85 

91.65 

104.19 

116.21 

127.33 

137.08 

.      144.81 

149.80 

.92 

66.13 

78.98 

91.78 

104.31 

116.32 

127.43 

137.17 

144.88 

149.83 

.93 

66.26 

79.11 

91.90 

104.44 

116.44 

127.54 

137.26 

144.94 

149.87 

.94 

66.38 

79.24 

92.03 

104.56 

116.55 

127.64 

137.34 

145.01 

149.90 

.95 

66.51 

79.37 

92.15 

104.69 

116.67 

127.75 

137.43 

145.07 

149.93 

.96 

66.64 

79.49 

92.28 

104.81 

116.79 

127.85 

137.52 

145.13 

149.96 

.97 

66.76 

79.62 

92.40 

104.93 

116.90 

127.96 

137.60 

145.20 

149.99 

.98 

66.89 

79.75 

92.53 

105.06 

117.02 

128.06 

137.69 

145.26 

150.02 

.99 

67.02 

79.88 

92.66 

105.18 

117.13 

128.17 

137.78 

145.33 

150.05 

1.00 

67.15 

80.01 

92.79 

105.30 

117.25 

128.27 

137.87 

145.39 

150.08 

239 


TABLE  VII'.    ARGUMENT  2. 

Equation  =  11".2  —  11".  18  sin.  (2«  —  x)  —  0".304  ain.  (4«  —  2x). 
Period,  31.81193574  days. 


Days.      O 

1 

a 

3 

4 

S 

6 

7 

8 

9 

Daya. 

.00 

22.37 

22.31 

21.81 

20.87 

19.52 

17.81 

15.82 

13.62 

11.  31 

9.00 

.01 

22.37 

22.30 

21.80 

20.86 

19.51 

17.80 

15.80 

13.60 

11.29 

8.98 

.02 

22.37 

22.30 

.  21.79 

20.85 

19.49 

17.78 

15.78 

13.58 

11.27 

8.96 

.03 

22.37 

22.30 

21.78 

20.84 

19.48 

17.76 

15.76 

1355 

11.24 

8.93 

.04 

22.37 

22.29 

21.77 

20.83 

19.46 

17.74 

15.74 

13.53 

11.22 

8.91 

.05 

22.37 

22.29 

21.77 

20.81 

19.44 

17.72 

15.72 

13.51 

11.20 

8.89 

.06 

22.38 

22.29 

21.76 

20.80 

19.43 

17.70 

15.70 

13.48 

11.17 

8.86 

.07 

22.38 

22.29 

21.75 

20.79 

19.41 

17.68 

15.68 

13.46 

11.15 

8.84 

.08 

22.38 

22.28 

21.74 

20.78 

19.40 

17.66 

15.66 

13.44 

11.13 

8.82 

.09 

22.38 

22.28 

21.74 

20.77 

19.38 

17.64 

15.64 

13.42 

11.11 

8.80 

.10 

22.38 

22.28 

21.73 

20.75 

19.36 

17.62 

15.60 

13.39 

11.08 

8.77 

.11 

22.38 

22.27 

21.72 

20.74 

19.35 

17.61 

15.59 

13.37 

11.06 

8.75 

.12 

22.38 

22.27 

21.71 

20.73 

19.33 

17.59 

15.57 

13.35 

11.04 

8.73 

.13 

22.38 

22.27 

21.70 

20.72 

19.32 

17.57 

15.55 

13.32 

11.01 

8.70 

.14 

22.38 

22.26 

21.69 

20.71 

19.30 

17.55 

15.53 

13.30 

10.99 

8.68 

.15 

22.38 

22.26 

21.69 

20.69 

19.28 

17.53 

15.50 

13.28 

10.96 

8.66 

.16 

22.39 

22.26 

21.68 

20.68 

19.27 

17.51 

15.48 

13.25 

10.94 

8.63 

.17 

22.39 

22.25 

21.67 

20.67 

19.25 

17.49 

15.46 

13.23 

10.91 

8.61 

.18 

22.39 

22.25 

21.66 

20.66 

19.24 

17.47 

15.44 

13.21 

10.89 

8.59 

.19 

22.39 

22.25 

21.66 

20.65 

19.22 

17.45 

15.42 

13.19 

10.87 

8.57 

.20 

22.39 

22.24 

21.65 

20.63 

19.20 

17.43 

15.39 

13.16 

10.84 

8.54 

.21 

22.39 

22.24 

21.64 

20.62 

19.19 

17.42 

15.37 

13.14 

10.82 

8.52 

.22 

22.39 

22.24 

21.63 

20.61 

19.17 

17.40 

15.35 

13.12 

10.80 

8.50 

.23 

22.39 

22.23 

21.62 

20.59 

19.16 

17.38 

15.33 

13.09 

10.77 

8.48 

.24 

22.39 

22.23 

21.61 

20.58 

19.14 

17.36 

15.31 

13.07 

10.75 

8.46 

.25 

22.39 

22.23 

21.61 

20.57 

19.12 

17.34 

15.28 

13.05 

10.73 

8.44 

.26 

22.39 

22.22 

21.60 

20.55 

19.11 

17.32 

15.26 

13.02 

10.70 

8.41 

.27 

22.39 

22.22 

21.59 

20.54 

19.09 

17.30 

15.24 

13.00 

10.68 

8.39 

.28 

22.40 

22.21 

21.58 

20.53 

19.08 

17.28 

15.22 

12.98 

10.66 

8.37 

.29 

22.40 

22.21 

21.57 

20.52 

19.06 

17.26 

15.20 

12.96 

10.64 

8.35 

.30 

22.40 

22.20 

21.57 

20.50 

19.04 

17.24 

15.17 

12.93 

10.61 

8.32 

.31 

22.40 

22.20 

21.56 

20.49 

19.03 

17.23 

15.15 

12.91 

10.59 

8.30 

.32 

22.40 

22.20 

21.55 

20.48 

19.01 

17.21 

15.13 

12.89 

10.57 

8.28 

.33 

22.40 

22.19 

21.54 

20.47 

19.00 

17.19 

15.11 

12.86 

10.54 

8.25 

.34 

22.40 

22.19 

21.53 

20.46 

18.98 

17.17 

15.09 

12.84 

10.52 

8.23 

.35 

22.40 

22.18 

21.52 

20.44 

18.96 

17.15 

15.07 

12.82 

10.50 

8.21 

.36 

22.40 

22.18 

21.51 

20.43 

18.95 

17.13 

15.05 

12.79 

10.47 

8.18 

.37 

22.40 

22.17 

21.50 

20.42 

18.93 

17.11 

15.03 

12.77 

10.45 

8.16 

.38 

22.40 

22.17 

21.49 

20.41 

18.92 

17.09 

15.01 

12.75 

10.43 

8.14 

.39 

22.40 

22.16 

21.49 

20.40 

18.90 

17.07 

14.99 

12.73 

10.41 

8.12 

.40 

22.40 

22.16 

21.48 

20.38 

18.88 

17.05 

14.96 

12.70 

10.38 

8.09 

.41 

22.40 

22.15        21.47 

20.37 

18.87 

17.03 

14.94 

12.68 

10.36 

8.07 

.42 

22.40 

22.15        21.46 

20.35 

18.85 

17.01 

14.92 

12.66 

10.34 

8.05 

.43 

22.40 

22.15        21.45 

20.34 

18.83 

16.99 

14.90 

12.63 

10.31 

8.03 

.44 

22.39 

22.11 

21.44 

20.33 

18.82 

16.97 

14.88 

12.61 

10.29 

8.01 

.45 

22.39 

22.14 

21.43 

20.31 

18.80 

16.95 

14.85 

12.59 

10.27 

7.98 

.46 

22.39 

22.13 

21.42 

20.30 

18.78 

16.93 

14.83 

12.56 

10.24 

7.96 

.47 

22.39 

22.18 

21.41 

20.28 

18.77 

16.91 

14.81 

12.54 

10.22 

7.94 

.48 

•^.:t!) 

22.12 

21.40 

.  20.27 

18.75 

Ifi.W) 

14.79 

12.52 

10.20 

7.92 

.49 

22.39 

22.12 

21.40 

20.26 

18.73 

16.87 

14.77 

12.50 

10.18 

7.90 

.50 

22.39 

22.11 

21.39 

20.24 

18.71 

16.85 

14.74 

12.47 

10.15 

7.87 

210 


TABLE  Vir.    ARGUMENT  2. 


Equation  =  11".2  —  11".  18  sin.  (2«  —  x)  —  0".304  sin.  (4«  —  2ar). 
Period,  31.81193574  days. 


Days.      O 

1 

2 

3 

4 

S 

6 

7 

8 

9 

Days! 

.50 

22.39 

22.  11 

21.39 

20.24 

18.71 

16.85 

14.74 

ii 

12.47 

10.15 

7.87 

.51 

22.39 

22.11 

21.38 

20.23 

18.70 

1683 

14.72 

12.45 

10.13 

7.85 

.52 

22.39 

22.  10 

21.37 

20.22 

18.68 

16.81 

14.70 

12.43 

10.11 

7.83 

.53 

22.39 

22.10 

21.36 

20.20 

18.66 

16.79 

14.68 

12.40 

10.08 

7.81 

.54 

22.39 

22.09 

21.35 

20.19 

18.65 

16.77 

14.66 

12.38 

10.06 

7.79 

.55 

22.39 

22.09 

21.34 

20.17 

18.63 

16.75 

14.63 

12.36 

10.03 

7.76 

.56 

22.39 

22.08 

21.33 

20.16 

18.61 

16.73 

14.61 

12.33 

10.01 

7.74 

.57 

22.39 

22.08 

21.32 

20.14 

18.60 

16.71 

14.59 

12.31 

9.98 

7.72 

.58 

22.39 

22.07 

21.31 

20.13 

18.58 

16.69 

14.57 

12.29 

9.96 

7.70 

.59 

22.39 

22.07 

21.30 

20.12 

18.56 

16.67 

14.55 

12.27 

9.94 

7.68 

.60 

22.38 

22.06 

21.29 

20.10 

18.54 

16.65 

14.52 

12.24 

9.91 

7.65 

.61 

22.38 

22.06 

21.28 

20.09 

18.53 

16.63 

14.50 

12.22 

9.89 

7.63 

.62 

22.38 

22.05 

21.27 

20.08 

18.51 

16.61 

14.48 

12.20 

9.87 

7.61 

.63 

22.38 

22.05 

21.26 

20.06 

18.49 

16.59 

14.45 

12.17 

9.84 

7.58 

.64 

22.38 

22.04 

21.25 

20.05 

18.47 

16.57 

14.43 

12.15 

9.82 

7.56 

.65 

22.38 

22.04 

21.24 

20.03 

18.45 

16.55 

14.41 

12.13 

9.80 

7.54 

.66 

22.38 

22.03 

21.23 

20.02 

18.44 

16.53 

14.38 

12.10 

9.77 

7.52 

.67 

22.38 

22.02 

21.22 

20.00 

18.42 

16.51 

14.36 

12.08 

9.75 

7.49 

.68 

22.37 

22.02 

21.21 

19.99 

18.40 

16.49 

14.34 

12.06 

9.73 

7.47 

.69 

22.37 

22.01 

21.20 

19.98 

18.38 

16.47 

14.32 

12.04 

9.71 

7.45 

.70 

22.37 

22.00 

21.19 

19.96 

18.36 

16.44 

14.29 

12.01 

9.68 

7.43 

.71 

22.37 

22.00 

21.18 

19.95 

18.35 

16.42 

14.27 

11.99 

9.66 

7.40 

.72 

22.37 

21.99 

21.17 

19.94 

18.33 

16.40 

14.25 

11.97 

9.64 

7.38 

.73 

22.37 

21.99 

21.16 

19.92 

18.31 

16.38 

14.23 

11.94 

9.61 

7.36 

.74 

22.37 

21.98 

21.15 

19.91 

18.29 

16.36 

14.21 

11.92 

9.59 

7.34 

.75 

22.36 

21.98 

21.14 

19.89 

18.27 

16.34 

14.18 

11.89 

9.57 

7.32 

.76 

22.36 

21.97 

21.13 

19.88 

18.26 

16.32 

14.16 

11.87 

9.54 

7.29 

.77 

22.36 

21.96 

21.12 

19.86 

18.24 

16.30 

14.14 

11.85 

9.52 

7.27 

.78 

22.36 

21.96 

21.11 

19.85 

18.22 

16.28 

14.12 

11.81 

9.50 

7.25 

.79 

22.36 

21.95 

21.10 

19.84 

18.20 

16.26 

14.10 

11.79 

9.48 

7.23 

.80 

22.35 

21.94 

21.09 

19.82 

18.18 

16.24 

14.07 

11.77 

9.45 

7.21 

.81 

22.35 

21.94 

21.08 

19.81 

18.17 

16.22 

14.05 

11.75 

9.43 

7.18 

.82 

22.35 

21.93 

21.07 

19.79 

18.15 

16.20 

14.03 

11.73 

9.41 

7.16 

.83 

22.35 

21.93 

21.06 

19.78 

18.13 

16.18 

14.00 

11.70 

9.38 

7.14 

.84 

22.35 

21.92 

21.05 

19.76 

18.11 

16.16 

13.98 

11.68 

9.36 

7.12 

.85 

22.34 

21.91 

21.04 

19.75 

18.09 

16.14 

13.96 

11.66 

9.34 

7.10 

.86 

22.34 

21.91 

21.03 

19.73 

18.08 

16.12 

13.93 

11.63 

9.31 

7.08 

.87 

22.34 

21.90 

21.02 

19.72 

18.06 

16.10 

13.91 

11.61 

9.29 

7.06 

.88 

22.34 

21.90 

21.01 

19.70 

18.04 

16.08 

13.89 

11.59 

9.27 

7.04 

.89 

22.34 

21.89 

21.00 

19.69 

18.02 

16.06 

13.87 

11.57 

9.25 

7.02 

.90 

22.33 

21.88 

20.98 

19.67 

18.00 

16.03 

.      13.84 

11.54 

9.22 

7.00 

.91 

22.33 

21.87 

20.97 

19.66 

17.99 

16.01 

13.82 

11.52 

9.20 

6.97 

.92 

22.33 

21.87 

20.96 

19.64 

17.97 

15.99 

13.80 

11.50 

9.18 

6.95 

.93 

22.33 

21.86 

20.95 

19.63 

17.95 

15.97 

13.78 

11.47 

9.16 

6.93 

.94 

22.32 

21.86 

20.94 

19.61 

17.93 

15.95 

13.76 

11.45 

9.14 

6.91 

.95 

22.32 

21.85 

20.93 

19.60 

17.91 

15.93 

13.73 

11.43 

9.11 

6.89 

.96 

22.32 

21.84 

20.92 

19.58 

17.89 

15.91 

13.71 

11.40 

9.09 

6.86 

.97 

22.32 

21.83 

20.91 

19.57 

17.87 

15.89 

13.69 

11.38 

9.07 

6.84 

.98 

22.31 

21.82 

20.90 

19.55 

17.85 

15.87 

13.67 

11.36 

9.05 

6.82 

.99 

22.31 

21.81 

20.89 

19.54 

17.83 

15.85 

13.65 

11.34 

9.03 

6.80 

1.00 

22.31 

21.81 

20.87 

19.52 

17.81 

15.82 

13.62 

11.31 

9.00 

6.78 

241 


TABLE  VII".    ARGUMENT  2. 

Equation  =  11".2  —  11".  18  sin.  (2i  —  x)  —  0".304  sin.  (4t  —  2*). 
Period,  31.81193574  daya. 


Days.      1O 

11 

13 

13 

14 

IS 

16 

17 

18 

19 

20 

Daya. 
.00 

6\78 

• 

4.76 

3.03 

1.64 

0.66 

II 

0.12 

• 

0.0' 

6.35 

• 

1.1 

2.2 

3.63 

.01 

6.75 

4.74 

3.01 

1.62 

0.66 

0.1 

0.0' 

0.35 

1.1 

2.2 

3.64 

.02 

6.73 

4.72 

2.99 

1.61 

0.65 

0.1 

0.02 

0.36 

1.1 

2.2 

3.66 

.03 

6.71 

4.70 

2.98 

1.60 

0.64 

0.1 

0.02 

0.36 

1.12 

2.2 

3.67 

.04 

6.69 

4.68 

2.96 

1.59 

0.64 

0.10 

0.02 

0.37 

1.1 

2.2 

3.69 

.05 

6.67 

4.66 

2.95 

1.58 

0.63 

0.10 

0.03 

0.37 

1.1 

2.27 

3.71 

.06 

6.65 

4.64 

2.93 

1.56 

0.62 

0.10 

0.03 

0.38 

1.1 

2.28 

3.72 

.07 

6.63 

4.62 

2.91 

1.55 

0.62 

0.09 

0.03 

0.39 

1.1€ 

2.30 

3.73 

.08 

6.61 

4.60 

2.90 

1.54 

0.61 

0.09 

0.03 

0.39 

1.1 

2.3 

3.75 

.09 

6.59 

4.58 

2.88 

1.53 

0.60 

0.09 

0.03 

0.40 

Lie 

2.32 

3.77 

.10 

6.57 

4.57 

2.87 

1.52 

0.59 

0.09 

0.03 

0.4 

1.19 

2.34 

3.79 

.11 

6.54 

4.55 

2.85 

1.50 

0.59 

0.08 

0.04 

0.4 

1.20 

2.35 

3.80 

.12 

6.52 

4.53 

2.84 

1.49 

0.58 

0.08 

0.04 

0.42 

1.2 

2.36 

3.82 

.13 

6.50 

4.51 

2.82 

1.48 

0.57 

0.08 

0.04 

0.42 

1.22 

2.37 

3.83 

.14 

6.48 

4.49 

2.81 

1.47 

0.57 

0.07 

0.04 

0.43 

1.23 

2.39 

3.85 

.15 

6.46 

4.48 

2.79 

1.46 

0.56 

0.07 

0.04 

0.43 

1.24 

2.40 

3.87 

.16 

6.44 

4.46 

2.78 

1.45 

0.55 

0.07 

0.05 

0.44 

1.25 

2.4 

3.88 

.17 

6.42 

4.44 

2.76 

1.44 

0.55 

0.06 

0.05 

0.45 

1.26 

2.43 

3.90 

.18 

6.40 

4.42 

2.75 

1.43 

0.54 

0.06 

0.05 

0.45 

1.27 

2.44 

3.91 

.19 

6.38 

4.40 

2.73 

1.42 

0.53 

0.06 

0.05 

0.46 

1.28 

2.45 

3.93 

.20 

6.36 

4.39 

2.72 

1.41 

0.52 

0.06 

0.05 

0.47 

1.29 

2.47 

3.95 

.21 

6.33 

4.37 

2.70 

1.40 

0.52 

0.05 

0.06 

0.47 

1.30 

2.48 

3.96 

.22 

6.31 

4.35 

2.69 

1.39 

0.51 

0.05 

0.06 

0.48 

1.31 

2.49 

3.98 

.23 

6.29 

4.33 

2.67 

1.38 

0.50 

0.05 

0.06 

0.48 

1.32 

2.50 

4.00 

.24 

6.27 

4.31 

2.66 

1.37 

0.50 

0.05 

0.06 

0.49 

1.33 

2.52 

4.01 

.25 

6.25 

4.30 

2.64 

1.36 

0.49 

0.05 

0.06 

0.50 

1.34 

2.54 

4.03 

.26 

6.23 

4.28 

2.63 

1.35 

0.48 

0.04 

0.07 

0.50 

1.35 

2.55 

4.05 

.27 

6.21 

4.26 

2.61 

1.34 

0.48 

0.04 

0.07 

0.51 

1.36 

2.56 

4.06 

.28 

6.19 

4.24 

2.59 

1.33 

0.47 

0.04 

0.07 

0.51 

1.37 

2.57 

4.08 

.29 

6.17 

4.22 

2.58 

1.32 

0.46 

0.04 

0.07 

0.52 

1.38 

2.58 

4.10 

.30 

6.15 

4.21 

2.57 

1.31 

0.45 

0.04 

0.07 

0.53 

1.39 

2.60 

4.12 

.31 

6.13 

4.19 

2.55 

1.29 

0.44 

0.04 

0.08 

0.53 

1.40 

2.61 

4.13 

.32 

6.11 

4.17 

2.54 

1.28 

0.43 

0.04 

0.08 

0.54 

1.41 

2.62 

4.15 

.33 

6.09 

4.15 

2.52 

1.27 

0.43 

0.04 

0.08 

0.55 

1.42 

2.64 

4.16 

.34 

6.07 

4.13 

2.51 

1.26 

0.42 

0.04 

0.08 

0.55 

1.43 

2.65 

4.18 

.35 

6.05 

4.12 

2.49 

1.25 

0.41 

0.03 

0.09 

0.56 

1.44 

2.66 

4.20 

.36 

6.03 

4.10 

2.48 

1.24 

0.41 

0.03 

0.09 

0.57 

1.45 

2.68 

4.21 

.37 

6.01 

4.08 

2.47 

1.23 

0.40 

0.03 

0.09 

0.57 

1.46 

2.69 

4.23 

.38 

5.99 

4.06 

2.45 

1.22 

0.40 

0.03 

0.10 

0.58 

1.47 

2.71 

4.24 

.39 

5.97 

4.04 

2.44 

1.21 

0.39 

0.03 

0.10 

0.59 

1.48 

2.72 

4.26 

.40 

5.95 

4.03 

2.43 

1.20 

0.39 

0.03 

0.10 

0.60 

1.50 

2.74 

4.28 

.41 

5.92 

4.01 

2.41 

1.19 

0.38 

0.03 

0.11 

0.60 

1.51 

2.75 

4.29 

.42 

5.90 

3.99 

2.40 

1.18 

0.38 

0.03 

0.11 

0.61 

1.52 

2.77 

4.31 

.43 

5.88 

3.97 

2.38 

1.17 

0.37 

0.03 

0.11 

0.62 

1.53 

2.78 

4.32 

.44 

5.86 

3.95 

2.37 

1.16 

0.37 

0.02 

0.11 

0.63 

1.54 

2.79 

4.34 

.45 

5.84 

3.91 

2.36 

1.15 

0.36 

0.02 

0.12 

0.64 

1.55 

2.81 

4.36 

.46 

5.82 

3.92 

2.34 

1.14 

0.36 

0.02 

0.12 

0.64 

1.66 

2.82 

4.37 

.47 

5.80 

3.90 

2.33 

1.13 

0.35 

0.02 

0.12 

0.65 

1.57 

2.84 

4.39 

.48 

f>.7N 

3.88         2.31 

1.12 

0.35 

002 

0.13 

0.66 

1.58 

2.85 

4.41 

.49 

5.76 

3.86         2.30 

1.11 

0.34 

0.02 

0.13 

0.67 

1.59 

2.86 

4.43 

.50 

5.74 

3.85         2.29 

1.10 

0.34 

0.01 

0.13 

0.68 

1.61 

2.88 

4.45 

242 


TABLE  VII".    ARGUMENT   2. 


Equation  =  11".2  —  1 1".18  sin.  (2t  —  x)  —  0".304  sin.  (4<  —  2r). 
Period,  31.81193574  days. 


' 

Days.      1O 

11 

13 

13 

14 

15 

16 

17 

18 

19 

2O 

DilVS. 

II 

II 

il 

II 

ii 

II 

II 

II 

II 

II 

I 

.50 

5.74 

3.85 

2.29 

1.10 

0.34 

0.01 

0.13 

0.68 

1.61 

2.88 

4.45 

.51 

5.72 

3.83 

2.27 

1.09 

0.33 

0.01 

0.13 

0.68 

1.62 

2.89 

4.46 

.52 

5.70 

3.81 

2.26 

1.08 

0.33 

0.01 

0.13 

0.69 

1.63 

2.91 

4.48 

.53 

5.68 

3.79 

2.24 

1.07 

0.32 

0.01 

0.14 

0.70 

1.64 

2.92 

4.50 

.54 

5.66 

3.78 

2.23 

1.06 

0.32 

0.01 

0.14 

0.70 

1.65 

2.94 

4.51 

.55 

5.64 

3.76 

2.22 

1.05 

0.31 

0.01 

0.15 

0.71 

1.66 

2.95 

4.53 

.56 

5.62 

3.74 

2.20 

1.04 

0.31 

0.01 

0.15 

0.72 

1.67 

2.97 

4.55 

.57 

5.60 

3.73 

2.19 

1.03 

0.30 

0.01 

0.15 

0.72 

1.68 

2.98 

4.56 

.58 

5.58 

3.71 

2.17 

1.02 

0.30 

0.01 

0.16 

0.73 

1.69 

3.00 

4.58 

.59 

5.56 

3.69 

2.16 

1.01 

0.29 

0.01 

0.16 

0.74 

1.70 

3.01 

4.60 

.60 

5.54 

3.68 

2.15 

1.01 

0.29 

0.01 

0.17 

0.75 

1.72 

3.03 

4.62 

.61 

5.52 

3.66 

2.13 

1.00 

0.28 

0.01 

0.17 

0.75 

1.73 

3.04 

4.63 

.62 

5.50 

3.64 

2.12 

0.99 

0.28 

0.01 

0.17 

0.76 

1.74 

3.06 

4.65 

.63 

5.48 

3.62 

2.11 

0.98 

0.27 

001 

0.18 

0.77 

1.75 

3.07 

4.67 

.64 

5.46 

3.61 

2.09 

0.97 

0.27 

0.01 

0.18 

0.78 

1.76 

3.09 

4.68 

.65 

5.44 

3.59 

2.08 

0.96 

0.26 

0.01 

0.19 

0.79 

1.78 

3.10 

4.70 

.66 

5.42 

3.57 

2.06 

0.95 

0.26 

0.00 

0.19 

0.79 

1.79 

3.12 

4.71 

.67 

5.40 

3.56 

2.05 

0.94 

0.25 

0.00 

0.19 

0.80 

1.80 

3.13 

4.73 

.68 

5.38 

3.54 

2.04 

0.93 

0.25 

0.00 

0.20 

0.81 

1.81 

3.15 

4.75 

.69 

5.36 

3.52 

2.03 

0.92 

0.24 

0.00 

0.20 

0.82 

1.82 

3.16 

4.77 

.70 

5.34 

3.51 

2.02 

0.91 

0.24 

0.00 

-  0.21 

0.83 

1.84 

3.18 

4.79 

.71 

5.32 

3.49 

2.00 

0.90 

0.23 

0.00 

0.21 

0.83 

1.85 

3.19 

4.80 

.72 

5.30 

3.47 

1.99 

0.89 

0.23 

0.00 

0.21 

.    0.84 

1.86 

3.21 

4.82 

.73 

5.28 

3.46 

1.98 

0.88 

0.22 

0.00 

0.22 

0.85 

1.87 

3.22 

4.84 

.74 

5.26 

3.44 

1.96 

0.87 

0.22 

0.00 

0.22 

0.86 

1.88 

3.24 

4.86 

.75 

5.24 

3.43 

1.95 

0.87 

0.21 

0.00 

0.23 

0.87 

1.90 

3.25 

4.88 

.76 

5.22 

3.41 

1.93 

0.86 

0.21 

0.00 

0.23 

0.88 

1.91 

3.27 

4.89 

.77 

5.20 

3.39 

1.92 

0.85 

0.20 

0.00 

0.23 

0.89 

1.92 

3.28 

4.91 

.78 

5.18 

3.38 

1.91 

0.84 

0.20 

0.00 

0.24 

0.90 

1.93 

3.30 

4.93 

.79 

5.16 

3.36 

1.90 

0.83 

0.19 

0.00 

0.24 

0.91 

1.94 

3.31 

4.95 

.80 

5.15 

3.35 

1.89 

0.83 

0.19 

0.00 

0.25 

0.92 

1.96 

3.33 

4.97 

.81 

5.13 

3.33 

1.87 

0.82 

0.18 

0.00 

0.25 

0.92 

1.97 

3.34 

4.98 

.82 

5.11 

3.31 

1.86 

0.81 

0.18 

0.00 

0.26 

0.93 

1.98 

3.36 

5.00 

.83 

5.09 

3.29 

1.85 

0.80 

0.17 

0.00 

0.26 

0.94 

1.99 

3.37 

5.02 

.84 

5.07 

3.28 

1.83 

0.79 

0.17 

0.01 

0.27 

0.95 

2.00 

3.39 

5.03 

.85 

5.05 

3.26 

1.82 

0.78 

0.17 

0.01 

0.27 

0.96 

'     2.02 

3.40 

5.05 

.86 

5.03 

3.24 

1.81 

0.77 

0.16 

0.01 

0.28 

0.96 

2.03 

3.42 

5.07 

.87 

5.01 

3.23 

1.79 

0.76 

0.16 

0.01 

0.28 

0.97 

2.04 

3.43 

5.08 

.88 

4.99 

3.21 

1.78 

0.75 

0.15 

0.01 

0.29 

0.98 

2.05 

3.45 

5.10 

.89 

4.97 

3.19 

1.77 

0.74 

0.15 

0.01 

0.29 

0.99 

2.06 

3.46 

5.12 

.90 

4.95 

3.18 

1.76 

0.74 

0.15 

0.01 

0.30 

1.00 

2.08 

3.48 

5.14 

.91 

4.93 

3.16 

1.74 

0.73 

0.14 

0.01 

0.30 

1.01 

2.09 

3.49 

5.15 

.92 

4.91 

3.15 

1.73 

0.72 

0.14 

0.01 

0.31 

1.02 

2.10 

3.51 

5.17 

.93 

4.89 

3.13 

1.72 

0.71 

0.14 

0.01 

0.31 

1.03 

2.12 

3.52 

5.19 

.94 

4.87 

3.12 

1.71 

0.70 

0.13 

0.01 

0.32 

1.04 

2.13 

3.54 

5.21 

.95 

4.85 

3.10 

1.70 

0.70 

0.13 

0.01 

0.32 

1.05 

2.14 

3.55 

5.23 

.96 

4.83 

3.09 

1.68 

0.69 

0.13 

0.02 

0.33 

1.06 

2.16 

3.57 

5.24 

.97 

4.81 

3.07 

1.67 

0.68 

0.12 

0.02 

0.33 

1.07 

2.17 

3.58 

5.26 

.98 

4.79 

3.06 

1.66 

0.67 

0.12 

0.02 

0.34 

1.08 

2.18 

3.60 

5.28 

.99 

4.77 

3.04 

1.65 

0.66 

0.12 

0.02 

0.34 

1.09 

2.19 

3.61 

5.30 

1.00 

4.76 

3.03 

1.64 

0.66 

0.12 

0.02 

0.35 

1.10 

2.21 

3.63 

5.32 

243 


TABLE  VII".    ARGUMENT  2. 

Equation  =  11".2  —  ll'MS  sin.  (2«  —  *)  —  0".304  sin.  (4t  —  2*). 
Period,  31.81193574  days. 


Days.     21 

33 

33 

34 

25 

26 

27 

28 

29 

30 

31 

Day.. 

.00 

5.32 

7".21 

9.22 

li'.so 

13.37 

15.38 

17.25 

il 

18.9 

20.3 

21.39 

22.10 

.01 

5.33 

7.22 

9.24 

11.32 

13.39 

15.40 

17.27 

18.93 

20.33 

21.40 

22.11 

.02 

5.35 

7.24 

9.26 

11.34 

13.41 

15.42 

17.29 

18.94 

20.34 

21.4 

22.11 

.03 

5.37 

7.26 

9.28 

11.36 

13.43 

15.44 

17.30 

18.96 

20.35 

21.42 

22.12 

.04 

5.39 

7.28 

9.30 

11.38 

13.45 

15.46 

17.32 

18.97 

20.36 

21.43 

22.12 

.05 

5.41 

7.30 

9.32 

11.40 

13.47 

15.48 

17.34 

18.98 

20.37 

21.44 

22.13 

.06 

5.42 

7.32 

9.34 

11.42 

13.49 

1550 

17.36 

19.00 

20.39 

21.45 

22.13 

.07 

5.44 

7.34 

9.36 

11.44 

13.51 

15.52 

17.37 

19.01 

20.40 

21.46 

22.13 

.08 

5.46 

7.36 

9.38 

11.46 

13.53 

15.54 

17.39 

19.03 

20.4 

21.47 

22.14 

.09 

5.48 

7.38 

9.40 

11.48 

13.55 

15.56 

17.41 

19.04 

20.42 

21.48 

22.14 

.10 

5.50 

7.40 

9.43 

11.51 

13.58 

15.57 

17.42 

19.05 

20.43 

21.48 

22.14 

.11 

5.51 

7.42 

9.45 

11.53 

13.60 

15.59 

17.44 

19.07 

20.45 

21.49 

22.15 

.12 

5.53 

7.44 

9.47 

11.55 

13.62 

15.61 

17.46 

19.09 

20.46 

21.50 

22.15 

.13 

5.55 

7.46 

9.49 

11.57 

13.64 

15.63 

17.48 

19.10 

20.47 

21.51 

22.16 

.14 

5.57 

7.48 

9.51 

11.59 

13.66 

15.65 

17.50 

19.12 

20.48 

21.52 

22.16 

.15 

5.59 

7.50 

9.53 

11.61 

13.68 

15.67 

17.51 

19.13 

20.49 

21.52 

22.17 

.16 

5.60 

7.52 

9.55 

11.63 

13.70 

15.69 

17.53 

19.15 

20.51 

21.53 

22.17 

.17 

5.62 

7.54 

9.57 

11.65 

13.72 

15.71 

17.55 

19.17 

20.52 

21.54 

22.17 

.18 

5.64 

7.56 

9.59 

11.67 

13.74 

15.73 

17.57 

19.18 

20.53 

21.55 

22.18 

.19 

5.66 

7.58 

9.61 

11.69 

13.76 

15.75 

17.59 

19.20 

20.54 

21.5G 

22.18 

.20 

5.68 

7.60 

9.63 

11.71 

13.78 

15.77 

17.60 

19.21 

20.55 

21.56 

22.19 

.21 

'5.69 

7.62 

9.65 

11.73 

13.80 

15.79 

17.62 

19.23 

20.57 

21.57 

22.19 

.22 

5.71 

7.64 

9.67 

11.75 

13.82 

15.81 

17.64 

19.24 

20.58 

21.58 

22.20 

.23 

5.73 

7.66 

9.69 

11.77 

13.84 

15.83 

17.66 

19.26 

20.59 

21.59 

22.20 

.24 

5.75 

7.68 

9.71 

11.79 

13.86 

15.85 

17.67 

19.27 

20.60 

21.60 

22.20 

.25 

5.77 

7.70 

9.73 

11.81 

13.88 

15.87 

17.69 

19.29 

20.61 

21.60 

22.21 

.26 

5.79 

7.72 

9.75 

11.83 

13.90 

15.89 

17.71 

19.30 

20.63 

21.61 

22.21 

.27 

5.81 

7.74 

9.77 

11.85 

13.92 

15.91 

17.72 

19.32 

20.64 

21.62 

22.22 

.28 

5.83 

7.76 

9.79 

11.87 

13.94 

15.93 

17.74 

19.33 

20.65 

21.63 

22.22 

.29 

5.85 

7.78 

9.81 

11.89 

13.96 

15.95 

17.76 

19.35 

20.66 

21.64 

22.22 

.30 

5.87 

7.80 

9.84 

11.92 

13.99 

15.96 

17.77 

19.36 

20.67 

21.64 

22.23 

.31 

5.88 

7.82 

9.86 

11.94 

14.01 

15.98 

17.79 

19.38 

20.69 

21.65 

22.23 

.32 

5.90 

7.84 

9.88 

11.96 

14.03 

16.00 

17.81 

19.39 

20.70 

21.66 

22.23 

.33 

5.92 

7.86 

9.90 

11.98- 

14.05 

16.02 

17.83 

19.41 

20.71 

21.67 

22.24 

.34 

5.94 

7.88 

9.92 

12.00 

14.07 

16.04 

17.84 

19.42 

20.72 

21.68 

22.24 

.35 

5.96 

7.90 

9.94 

12.02 

14.09 

16.06 

17.86 

19.43 

20.73 

21.68 

22.24 

.36 

5.97 

7.92 

9.96 

12.04 

14.11 

16.08 

17.88 

19.45 

20.75 

21.69 

22.25 

.37 

5.99 

7.94 

9.98 

12.06 

14.13 

16.10 

17.89 

19.47 

20.76 

21.70 

22.25 

.38 

6.01 

7.96 

10.00 

12.08 

14.15 

16.12 

17.91 

19.48 

20.77 

21.71 

22.25 

.39 

6.03 

7.98 

10.02 

12.10 

14.17 

16.14 

17.93 

19.49 

20.78 

21.72 

22.25 

.40 

6.05 

8.00 

10.05 

12.13 

14.19 

16.15 

17.94 

19.50 

20.79 

21.72 

22.26 

.41 

6.06 

8.02 

10.07 

12.15 

14.21 

16.17 

17.96 

19.52 

20.81 

21.73 

22.26 

.42 

6.08 

8.04 

10.09 

12.17 

14.23 

16.19 

17.98 

19.53 

20.82 

21.74 

22.26 

.43 

6.10 

8.06 

10.11 

12.19 

14.25 

16.21 

18.00 

19.55 

20.83 

21.75 

22.27 

.44 

6.12 

8.08 

10.13 

12.21 

14.27 

16.23 

18.01 

19.56 

20.84 

21.75 

22.27 

.45 

6.14 

8.10 

10.15 

12.23 

14.29 

16.24 

18.03 

19.58 

20.85 

21.76 

22.28 

.46 

6.16 

8.12 

10.17 

12.25 

14.31 

16.26 

18.05 

19.59 

20.86 

21.77 

22.28 

.47 

6.18 

8.14 

10.19 

12.27 

14.33 

16.28 

18.06 

19.61 

20.87 

21.77 

22.28 

.48 

6.20 

8.16       10.21 

12.29 

14.35 

i<;.:to 

18.08 

19.62 

20.88 

21.78 

22.29 

.49 

6.22 

8.18 

10.23 

12.31 

14.37 

16.32 

18.10 

19.64 

20.89 

21.79 

22.29 

.50 

6.24 

8.20 

10.25 

12.34 

14.39       16.33 

18.11 

!!).<;:• 

20.90 

21.79 

22.30 

-,'H 


TABLE  VII".    ARGUMENT  2. 

Equation  =  11".2  —  11".18  sin.  (2*  —  *)  —  0".304  sin.  (4«  —  2*). 
Period,  31.81193574  days. 


Days.     21 

22 

23 

24 

25 

26 

27 

28 

29 

30 

31 

Days. 

.50 

6.24 

8.20 

10.25 

12.34 

14.39 

16.33 

18.11 

19.63 

20.90 

21.79 

22.30 

.51 

6.25 

8.22 

10.27 

12.36 

14.41 

16.35 

18.13 

19.67 

20.91 

21.80 

22.30 

.52 

6.27 

8.24 

10.29 

12.38 

14.43 

16.37 

18.15 

19.68 

20.92 

21.81 

22.30 

.53 

6.29 

8.26 

10.31 

12.40 

14.45 

16.39 

18.16 

19.70 

20.93 

21.81 

22.30 

.54 

6.31 

8.28 

10.33 

12.42 

14.47 

16.41 

18.18 

19.71 

20.94 

21.82 

22.30 

.55 

6.33 

8.30 

10.35 

12.44 

14.49 

16.43 

18.19 

19.72 

20.95 

21.83 

22.31 

.56 

6.35 

8.32 

10.37 

12.46 

14.51 

16.45 

18.21 

19.74 

20.96 

21.83 

22.31 

.57 

6.37 

8.34 

10.39 

12.48 

14.53 

16.47 

18.23 

19.75 

20.97 

21.84 

22.31 

.58 

6.39 

8.36 

10.41 

12.50 

14.55 

16.49 

18.24 

19.77 

20.98 

21.85 

22.31 

.59 

6.41 

8.38 

10.43 

12.52 

14.57 

16.51 

18.26 

19.78 

20.99 

21.86 

22.31 

.60 

6.43 

8.40 

10.46 

12.55 

14.59 

16.52 

18.27 

19.79 

21.00 

21.86 

22.32 

.61 

6.44 

8.42 

10.48 

12.57 

14.61 

16.54 

18.29 

19.81 

21.01 

21.87 

22.32 

.62 

6.46 

8.44 

10.50 

12.59 

14.63 

16.56 

18.31 

19.82 

21.02 

21.88 

22.32 

.63 

6.48 

8.46 

10.52 

12.61 

14.65 

16.58 

18.33 

19.83 

21.03 

21.88 

22.33 

.64 

6.50 

8.48 

10.54 

12.63 

14.67 

16.60 

18.34 

19.85 

21.04 

21.89 

22.33 

.65 

6.52 

8.50 

10.56 

12.65 

14.69 

1661 

18.36 

19.86 

21.05 

21.90 

22.33 

.66 

6.54 

8.52 

10.58 

12.67 

14.71 

16.63 

18.37 

19.87 

21.06 

21.90 

22.34 

.67 

6.56 

8.54 

10.60 

•  12.69 

14.73 

16.65 

18.39 

19.89 

21.07 

21.91 

22.34 

.68 

6.58 

8.56 

10.62 

12.71 

14.75 

16.67 

18.40 

19.90 

21.08 

21.92 

22.34 

.69 

6.60 

8.58 

10.64 

12.73 

14.77 

16.69 

18.42 

19.91 

21.09 

21.93 

22.34 

.70 

6.62 

8.61 

10.67 

12.76 

14.79 

16.70 

18.14 

19.92 

21.10 

21.93 

22.35 

.71 

6.64 

8.63 

10.69 

12.78 

14.81 

16.72 

18.46 

19.94 

21.11 

21.94 

22.35 

.72 

6.66 

8.65 

10.71 

12.80 

14.83 

16.74 

18.48 

19.95 

21.12 

21.95 

22.35 

.73 

6.68 

8.67 

10.73 

12.82 

14.85 

16.76 

18.49 

19.96 

21.13 

21.95 

22.35 

.74 

6.70 

8.69 

10.75 

12.84 

14.87 

16.78 

18.51 

19.98 

Ql.U 

21.96 

22.35 

.75 

6.72 

8.71 

10.77 

12.86 

14.89 

16.80 

18.52 

1999 

21.15 

21.90 

22.36 

.76 

6.74 

8.73 

10.79 

12.88 

14.91 

16.82 

18.54 

20.01 

21.16 

21.97 

22.36 

.77 

6.76 

8.75 

10.81 

12.90 

14.93 

16.84 

18.56 

20.02 

21.17 

21.98 

22.36 

.78 

6.78 

8.77 

10.83 

12.92 

14.95 

16.86 

18.57 

20.03 

21.18 

21.98 

22.36 

.79 

6.80 

8.79 

10.85 

12.94 

14.97 

16.88 

18.59 

20.04 

21.19 

21.99 

22.36 

.80 

6.82 

8.81 

10.88 

12.96 

14.99 

16.89 

18.60 

20.05 

21.20 

21.99 

22.36 

.81 

6.83 

8.83 

10.90 

12.98 

15.01 

16.91 

18.02 

20.07 

31.21 

22.00 

22.37 

.82 

6.85 

8.85 

10.92 

13.00 

15.03 

16.93 

18.64 

20.08 

21.22 

22.00 

22.37 

.83 

6.87 

8.87 

10.94 

13.02 

15.05 

16.95 

18.65 

20.09 

21.23 

22.01 

22.37 

.84 

6.89 

8.89 

10.96 

13.04 

15.07 

16.97 

18.67 

20.11 

21.24 

22.01 

22.37 

.85 

6.91 

8.91 

10.98 

13.06 

15.09 

16.98 

18.68 

20.12 

21.25 

22.02 

22.38 

.86 

6.93 

8.93 

11.00 

13.08 

15.11 

17.00 

18.70 

20.13 

21.26 

22.02 

22.38 

.87 

6.95 

8.95 

11.02 

13.10 

15.13 

17.02 

18.72 

20.15, 

21.27 

22.03 

22.38 

.88 

6.97 

8.97 

11.04 

13.12 

15.15 

17.04 

18.73 

20.16 

21.28 

22.03 

22.38 

.89 

6.99 

8.99 

11.06 

13.14 

15.17 

17.06 

18.75 

20.17 

21.29 

22.04 

22.38 

.90 

7.01 

9.01 

11.09 

13.17 

15.18 

17.07 

18.76 

20.18 

21.30 

22.04 

22.38 

.91 

7.03 

9.03 

11.11 

13.19 

15.20 

17.09 

18.78 

20.20 

21.31 

22.05 

22.38 

.92 

7.05 

9.05 

11.13 

13.21 

15.22 

17.11 

18.79 

20.21 

21.32 

22.05 

22.38 

.93 

7.07 

9.07 

11.15 

13.23 

15.24 

17.13 

18.81 

20.22 

21.33 

22.06 

22.38 

.94 

7.09 

9.09 

11.17 

13.25 

15.26 

17.15 

18.82 

20.24 

21.34 

22.06 

22.38 

.95 

7.11 

9.11 

11.19 

13.27 

15.28 

'  17.16 

18.84 

20.25 

21.35 

22.07 

22.39 

.96 

7.13 

9.13 

11.21 

13.29 

15.30 

17.18 

18.85 

20.26 

21.36 

22.08 

22.39 

.97 

7.15 

9.15 

11.23 

13.31 

15.32 

17.20 

18.87 

20.28 

21.37 

22.08 

22.39 

.98 

7.17 

9.17 

11.25 

13.33 

15.34 

17.22 

18.88 

20.29 

21.38 

22.09 

22.39 

.99 

7.19 

9.19 

11.27 

13.35 

15.36 

17.24 

18.90 

20.30 

21.39 

22.10 

22.39 

1.00 

7.21 

9.22 

11.30 

13.37 

15.38 

17.25 

18.91 

20.31 

21.39 

22.10 

22.39 

245 


TABLE  VIII".    ARGUMENT  3. 

Equation  =  31".  16  -f  0".345  sin.  t  —  20".808  sin.  21  —  0".023  sin.  3t  —  0".65  sin.  4«. 

Period,  29.530588  days. 


Days.        Q 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Days. 

.00 

33.97 

22.14 

12.11 

5.78 

4.18 

7".33 

14.43 

24*.16 

34.93 

45.10 

.01 

33.85 

22.03 

12.03 

5.74 

4.19 

7.38 

14.52 

24.27 

35.04 

45.19 

.02 

33.73 

21.92 

11.94 

5.70 

4.20 

7.44 

14.61 

24.37 

85.16 

45.28 

.03 

33.62 

21.80 

11.86 

5.66 

4.20 

7.49 

14.69 

24.48 

35.25 

4.5.38 

.04 

33.50 

21.69 

11.77 

5.62 

4.21 

7.55 

14.78 

24.58 

35.36 

45.47 

.05 

33.38 

21.58 

11.69 

5.58 

4.22 

7.60 

14.87 

24.69 

35.47 

45.56 

.06 

33.26 

21.47 

11.61 

5.54 

4.23 

7.66 

14.96 

24.80 

35.58 

45.65 

.07 

33.14 

21.36 

11.53 

5.51 

4.24 

7.71 

15.05 

24.90 

35.68 

45.74 

.08 

33.02 

21.24 

11.45 

5.47 

4.26 

7.77 

15.13 

25.01 

35.79 

45.83 

.09 

32.90 

21.13 

11.37 

5.44 

4.27 

7.82 

15.22 

25.11 

35.89 

45.92 

.10 

32.78 

21.02 

11.29 

5.40 

4.28 

7.88 

15.31 

25.22 

36.00 

46.01 

.11 

32.66 

20.91 

11.21 

5.36 

4.30 

7.94 

15.40 

25.33 

36.11 

46.10 

.12 

32.54 

20.80 

11.13 

5.33 

4.31 

8.00 

15.49 

25.43 

36.21 

46.19 

.13 

32.42 

20.69 

11.05 

5.29 

4.33 

8.05 

15.58 

25.54 

36.32 

46.28 

.14 

32.30 

20.58 

10.97 

5.26 

4.34 

8.11 

15.67 

25.64 

36.42 

46.37 

.15 

32.18 

20.47 

10.89 

5.22 

4.36 

8.17 

15.76 

25.75 

36.53 

46.46 

.16 

32.06 

20.36 

10.81 

5.19 

4.38 

8.23 

15.85 

25.86 

36.64 

46.55 

.17 

31.94 

20.25 

10.73 

5.16 

4.39 

8.29 

15.94 

25.96 

36.74 

46.64 

.18 

31.82 

20.14 

10.66 

5.12 

4.41 

8.35 

16.04 

26.07 

36.85 

46.73 

.19 

31.70 

20.03 

10.58 

5.09 

4.42 

8.41 

16.13 

26.17 

36.95 

46.82 

.20 

31.58 

19.92 

10.50 

5.06 

4.44 

8.47 

16.22 

26.28 

37.06 

46.91 

.21 

31.46 

19.81 

10.42 

5.03 

4.46 

8.53 

16.31 

26.39 

37.17 

17.00 

.22 

31.34 

19.70 

10.35 

5.00 

4.48 

8.59 

16.40 

26.50 

37.27 

47.09 

.23 

31.22 

19.60 

10.27 

4.98 

4.50 

8.66 

16.50 

26.60 

37.38 

47.17 

.24 

31.10 

19.49 

10.20 

4.95 

4.52 

8.72 

16.59 

26.71 

37.48 

47.26 

.25 

30.98 

19.38 

10.12 

4.92 

4.54 

8.78 

16.68 

26.82 

37.59 

47.35 

.26 

30.86 

19.27 

10.05 

4.89 

4.56 

8.84 

16.77 

26.93 

37.70 

47.44 

.27 

30.74 

19.16 

9.98 

4.86 

4.58 

8.90 

1687 

27.04 

37.80 

47.52 

.28 

30.62 

19.06 

9.90 

4.84 

4.60 

8.97 

16.96 

27.14 

37.91 

47.61 

.29 

30.50 

18.95 

9.83 

4.81 

4.62 

9.03 

17.06 

27.25 

38.01 

47.69 

.30 

30.38 

18.84 

9.76 

4.78 

4.64 

9.09 

17.15 

27.36 

38.12 

47.78 

.31 

30.26 

18.73 

9.69 

4.76 

4.66 

9.16 

17.24 

27.47 

38.22 

47.86 

.32 

30.14 

18.63 

9.62 

4.73 

4.69 

9.22 

17.31 

27.58 

.  38.33 

47.95 

.33 

30.01 

18.52 

9.54 

4.71 

4.71 

9.29 

17.43 

27.68 

38.43 

48.03 

.34 

29.89 

18.42 

9.47 

4.68 

4.74 

9.35 

17.53 

27.79 

38.54 

48.12 

.35 

29.77 

18.31 

9.40 

4.66 

4.76 

9.42 

17.62 

27.90 

38.64 

48.20 

.36 

29.65 

18.21 

9.33 

4.64 

4.79 

9.49 

17.72 

28.01 

38.74 

1858 

.37 

29.53 

18.10 

9.26 

4.62 

4.82 

9.56 

17.81 

28.12 

38.88 

18.87 

.38 

29.41 

18.00 

9.19 

4.59 

4.84 

9.62 

17.91 

28.22 

38.96 

IN,  If, 

.39 

29.29 

17.89 

9.12 

4.57 

4.87 

9.69 

18.00 

28.33 

39.06 

48.54 

.40 

29.17 

17.79 

9.05 

4.55 

4.90 

9.75 

18.10 

28.44 

39.16 

48.62 

.41 

29.05 

17.69 

8.98 

4.53 

4.93 

9.83 

18.20 

28.55 

39.26 

1S.70 

.42 

28.93 

17.59 

8.92 

4.51 

4.96 

9.90 

18.29 

28.66 

:t!».:o 

48.78 

.48 

•^ssi 

17.48 

N.N: 

4.49 

4.98 

9.96 

18.39 

28.76 

89.47 

48.87 

,11 

28.69 

17.38 

8.79 

4.47 

5.01 

10.03 

18.48 

28.87 

39.58 

48.95 

.45 

2S.:,7 

17.28 

8.72 

4.45 

5.04 

10.10 

18.58 

28.98 

39.68 

49.03 

.46 

•js.  i: 

17.18 

8.65 

4.43 

5.07 

10.17 

18.68 

29.09 

39.78 

49.11 

.17 

28.33 

17.08 

8.59 

4.41 

5.10 

10.24 

18.77 

29.20 

89.88 

49.19 

.is 

•Js.-J  1 

16.97 

8.52 

4.40 

5.13 

10.31 

18.87 

29.30 

39.99 

49.28 

.49 

28.09 

16.87 

8.46 

4.38 

5.16 

10.38 

18.96 

29.41 

40.09 

49.80 

.80 

27.97 

16.77 

8.39 

4.36 

5.19 

10.45 

19.06 

29.52 

40.19 

49.44 

216 


TABLE  VIII".    ARGUMENT  3. 

Equation  =  31".  16  -(-  0".345  sin.  t  —  20".808  sin.  2<  —  0".023  sin.  3t  —  0".65  sin.  4«. 

Period,  29.530588  days. 


Days.      O 

1 

2 

3 

4 

5 

6 

7 

8 

9 

Days. 

.50 

27.97 

16.77 

8.39 

4.36 

5".  19 

10.45 

19.06 

29.52 

40.19 

49.44 

.51 

27.85 

16.67 

8.33 

4.35 

5.22 

10.52 

19.16 

29.63 

40.29 

49.52 

.52 

27.73 

16.57 

8.27 

4.33 

5.26 

10.59 

19.26 

29.74 

40.39 

49.60 

.53 

27.62 

16.46 

8.20 

4.32 

5.29 

10.67 

19.36 

29.84 

40.50 

49.67 

.54 

27.50 

16.36 

8.14 

4.30 

5.33 

10.74 

19.46 

29.95 

40.60 

49.75 

.55 

27.38 

16.26 

8.08 

4.29 

5.36 

10.81 

19.56 

30.06 

40.70 

49.83 

.56 

27.26 

16.16 

8.02 

4.28 

5.39 

10.89 

19.66 

30.17 

40.80 

49.91 

.57 

27.14 

16.06 

7.96 

4.27 

5.43 

10.96 

19.76 

30.28 

40.90 

49.99 

.58 

27.03 

15.97 

7.90 

4.25 

5.46 

11.01 

19.85 

30.38 

41.01 

50.06 

.59 

26.91 

15.87 

7.84 

4.24 

5.50 

11.11 

19.95 

30.49 

41.11 

50.14 

.60 

26.79 

15.77 

7.78 

4.23 

5.53 

11.19 

20.05 

30.60 

41.21 

50.22 

.61 

26.67 

15.67 

7.72 

4.22 

5.57 

11.27 

20.15 

30.71 

41.31 

50.30 

.62 

26.55 

15.57 

7.66 

4.21 

5.61 

11.34 

20.25 

30.82 

41.41 

50.37 

.63 

26.44 

15.48 

7.61 

4.20 

5.65 

11.42 

20.35 

30.93 

41.51 

50.45 

.64 

26.32 

15.38 

7.55 

4.19 

5.69 

11.49 

20.45 

31.04 

41.61 

50.52 

.65 

26.20 

15.28 

7.49 

4.18 

5.73 

11.57 

20.55 

31  15 

41.71 

50.60 

.66 

26.08 

15.18 

7.43 

4.17 

5.77 

11.65 

20.65 

31.26 

41.81 

50.67 

.67 

25.96 

15.09 

7.38 

4.16 

5.81 

11.73 

20.75 

31.37 

41.91 

50.75 

.68 

25.85 

14.99 

7.32 

4.16 

5.85 

11.80 

20.86 

31.47 

42.01 

50.82 

.69 

25.73 

14.90 

7.27 

4.15 

5.89 

11.88 

20.96 

31.58 

42.11 

50.90 

.70 

25.61 

14.80 

7.21 

4.14 

5.93 

11.96 

21.0(5 

31.69 

42.21 

50.97 

.71 

25.49 

14.71 

7.16 

4.13 

5.97 

12.04 

21.16 

31.  '80 

42.31 

51.04 

.72 

25.37 

14.61 

7.10 

4.13 

6.01 

12.12 

21.26 

31.91 

42.41 

51.12 

.73 

25.26 

14.52 

7.05 

4.12 

6.05 

12.19 

21.37 

32.02 

42.50 

51.19 

.74 

25.14 

14.42 

6.99 

4.12 

6.09 

12.27 

21.47 

32.13 

42.60 

51.27 

.75 

25.02 

14.33 

6.94 

4.11 

6.13 

12.35 

21.57 

32.2S 

42.70 

51.34 

.76 

24.90 

14.24 

6.89 

4.11 

6.17 

12.43 

21.67 

32.34 

42.80 

51.41 

.77 

24.79 

14.15 

6.84 

4.11 

6.22 

12.51 

21.77 

32.45 

42.90 

51.48 

.78 

24.67 

14.05 

6.79 

4.10 

6.26 

12.59 

21.88 

32.55 

42.99 

51.56 

.79 

24.56 

13.96 

6.74 

4.10 

6.31 

12.67 

21.98 

32.66 

43.09 

51.63 

.80 

24.44 

13.87 

6.69 

4.10 

6.35 

12.75 

22.08 

32.77 

43.19 

51.70 

.81 

24.32 

13.78 

6.64 

4.10 

6.40 

12.83 

22.18 

32.  N8;        43.29 

51.77 

.82 

24.21 

13.69 

6.59 

4.10 

6.44 

12.91 

22.28 

32.99 

43.38 

51.84 

.83 

24.09 

13.60 

6.54 

4.10 

6.49 

13.00 

22.39 

33.09 

43.48 

51.90 

.84 

23.98 

13.51 

6.49 

4.10 

6.53 

13.08 

22.49 

33.20 

43.57 

51.97 

.85 

23.86 

13.42 

6.44 

4.10 

6.58 

13.16 

22.59 

33.31 

43.67 

52.04 

.86 

23.74 

13.33 

6.39 

4.10 

6.63 

13.24 

22.69 

33.42 

43.77 

52.11 

.87 

23.63 

13.24 

6.35 

4.11 

6.68 

13.32 

22.80J        33-53 

43.86 

52.18 

.88 

23.51 

13.15 

6.30 

4.11 

6.72 

13.41 

22.90 

33.63 

43.96 

52.24 

.89 

23.40 

13.06 

6.26 

4.12 

6.77 

13.49 

23.01 

33.74 

44.05 

52.31 

.90 

23.28 

12.97 

6.21 

4.12 

6.82 

13.57 

23.11 

33.85 

44.15 

52.38 

.91 

23.17 

12.88 

6.17 

4.12 

6.87 

13.66 

23.22 

33.96 

44.25 

52.45 

.92 

23.05 

12.80 

6.12 

4.13 

6.92 

13.74 

23.32 

34.07 

44.34 

52.51 

.93 

22.94 

12.71 

6.08 

4.13 

6.97 

13.83 

23.43 

34.17 

44.44 

52.58 

.94 

22.82 

12.63 

6.03 

4.14 

7.02 

13.91 

23.53 

34.28 

44.53 

52.64 

.95 

22.71 

12.54 

5.99 

4.14 

7.07 

14.00 

23.64 

34.39 

44.63 

52.71 

.96 

22.60 

12.45 

5.95 

4.15 

7.12 

14.09 

23.74 

34.50 

44.72 

52.77 

.97 

22.48 

12.37 

5.91 

4.16 

7.17 

14.17 

23.85 

34.61 

44.82 

52.84 

.98 

22.37 

12.28 

5.86 

4.16 

7.23 

14.26 

23.95 

34.71 

44.91 

52.90 

.99 

22.25 

12.20 

5.82 

4.17 

7.28 

14.34 

24.06 

34.82 

45.01 

52.97 

1.00 

22.14 

12.11 

5.78 

4.18 

7.33 

14.43 

24.16 

34.93 

45.10 

53.03 



247 


TABLE  VIII".    ARGUMENT  3. 

Equation  =  31".16  +  0".345  sin.  t  —  20".808  sin.  2t  —  0".023  sin.  3/  —  0".65  sin.  4«. 

Period,  29.530588  days. 


Days.      1O 

11 

1« 

13 

14 

IS 

16 

17 

18 

19 

Days. 

.00 

53.03 

57.32 

56.99 

51.84 

42.65 

31.16 

19.67 

10.48 

5.33 

5.00 

.01 

53.09 

57.34 

56.96 

51.77 

42.54 

31.04 

19.56 

10.41 

5.30 

5.02 

.02 

53.15 

57.36 

56.93 

51.69 

42.44 

30.92 

19.45 

10.34 

5.28 

.r).0l 

.03 

53.22 

57.38 

56.91 

51.62 

42.33 

30.80 

19.35 

10.26 

5.25 

5.07 

.04 

53.28 

57.40 

56.88 

51.54 

42.23 

30.68 

19.24 

10.19 

5.23 

5.09 

.05 

53.34 

57.42 

56.85 

51.47 

42.12 

30.56 

19.13 

10.12 

5.20 

5.11 

.06 

53.40 

57.44 

56.82 

51.39 

42.01 

30.44 

19.03 

10.05 

5.18 

5.13 

.07 

53.46 

57.46 

56.79 

51.31 

41.90 

30.32 

18.92 

9.98 

5.15 

5.16 

.08 

53.53 

57.47 

56.75 

51.24 

41.79 

30.21 

18.82 

9.90 

5.13 

5.18 

.09 

53.59 

57.49 

56.72 

51.16 

41.68 

30.09 

18.71 

9.83 

5.10 

5.21 

.10 

53.65 

57.51 

56.69 

51.08 

41.57 

29.97 

18.61 

9.76 

5.08 

5.23 

.11 

53.71 

57.52 

56.66 

51.00 

41.46 

29.85 

18.51 

9.69 

5.06 

5.26 

.12 

53.77 

57.54 

56.62 

50.92 

41.35 

29.73 

18.40 

9.62 

5.04 

5.28 

.13 

53.82 

57.55 

56.59 

50.85 

41.24 

29.62 

18.30 

9.56 

5.01 

5.31 

.14 

53.88 

57.57 

56.55 

50.77 

41.13 

29.50 

18.19 

9.49 

4.99 

5.33 

.15 

53.94 

57.58 

56.52 

50.69 

41.02 

29.38 

18.09 

9.42 

4.97 

5.36 

.16 

54.00 

57.59 

56.48 

50.61 

40.91 

29.26 

17.99 

9.35 

4.95 

5.39 

.17 

54.05 

57.61 

56.45 

50.53 

40.80 

29.14 

17.89 

9.29 

4.93 

5.42 

.18 

54.11 

57.62 

56.41 

50.44 

40.69 

29.02 

17.78 

9.22 

4.91 

5.45 

.19 

54.16 

57.64 

56.38 

50.36 

40.58 

28.90 

17.68 

9.16 

4.89 

5.48 

.20 

54.22 

57.65 

56.34 

50.28 

40.47 

28.78 

17.58 

9.09 

4.87 

5.51 

.21 

54.28 

57.66 

56.30 

50.20 

40.36 

28.66 

17.48 

9.02 

4.85 

5.54 

.22 

54.33 

57.67 

56.26 

50.12 

40.25 

28.54 

17.38 

8.96 

4.83 

557 

.23 

54.39 

57.68 

56.23 

50.03 

40.13 

28.43 

17.27 

8.89 

4.82 

5.60 

.24 

54.44 

57.69 

56.19 

49.95 

40.02 

28.31 

17.17 

8.83 

4.80 

5.63 

.25 

54.50 

57.70 

56.15 

49.87 

39.91 

28.19 

17.07 

8.76 

4.78 

5.66 

.26 

54.55 

57.71 

56.11 

49.79 

39.80 

28.07 

16.97 

8.70 

4.77 

5.69 

.27 

54.60 

57.71 

56.07 

49.70 

39.69 

27.95 

16.87 

8.64 

4.75 

5.73 

.28 

54.66 

57.72 

56.02 

49.62 

39.57 

27.84 

16.77 

8.57 

4.74 

5.76 

.29 

54.71 

57.72 

55.98 

49.53 

39.46 

27.72 

16.67 

8.51 

4.72 

5.80 

.30 

54.76 

57.73 

55.94 

49.45 

39.35 

27.60 

16.57 

8.45 

4.71 

5.83 

.31 

54.81 

57.74 

55.90 

49.36 

39.24 

27.48 

16.47 

8.39 

4.70 

5.87 

.32 

54.86 

57.74 

55.85 

49.28 

39.12 

27.37 

16.37 

8.33 

4.69 

5.90 

.3:1 

54.91 

57.75 

55.81 

49.19 

39.01 

27.25 

16.28 

8.28 

4.68 

5.94 

.34 

54.96 

57.75 

55.76 

49.11 

38.89 

27.14 

16.18 

8.22 

4.67 

5.97 

.35 

55.01 

57.76 

55.72 

49.02 

38.78 

27.02 

16.08 

8.16 

4.66 

6.01 

.36 

55.06 

57.76 

55.67 

48.93 

38.67 

26.90 

15.98 

8.10 

4.65 

6.05 

.37 

55.11 

57.77 

55.63 

48.84 

38.55 

26.78 

15.89 

8.04 

4.64 

6.09 

.38 

55.16 

57.77 

55.58 

48.75 

38.44 

2C.67 

15.79 

7.99 

4.63 

6.12 

.39 

55.21 

57.78 

55.54 

48.66 

38.32 

26.55 

15.70 

7.93 

4.62 

6.16 

.40 

55.26 

57.78 

55.49 

48.57 

38.21 

26.43 

15.60 

7.87 

4.61 

6.20 

.41 

.-,:,.:{  I 

57.78 

55.44 

48.48 

38.10 

26.31 

15.50 

7.81 

4.60 

6.24 

.42 

55.35 

57.78 

55.39 

js.:i!> 

37.98 

26.19 

15.41 

7.76 

4.60 

6.28 

.43 

;.:,.  10 

57.78 

56.86 

48.30 

37.87 

26.08 

15.31 

7.70 

4.5!) 

6.32 

.11 

55.44 

57.78 

55.30 

48.21 

37.75 

25.96 

15.22 

7.65 

4.59 

6.36 

.!.-> 

55.49 

57.78 

55.25 

48.12 

37.64 

25.8  1 

15.12 

7.59 

4.58 

6.40 

.46 

.Vi.53         .r>7.78         55.20 

48.03 

37.52 

25.72 

15.03 

7.5  1 

4.57 

6.44 

.17 

:>:,.:  ">*        57.78 

56.15 

47.94 

37.il 

25.61 

11.  ill 

7.49 

4.57 

6.48 

.48 

55.68 

57.77 

55.00 

47.85 

37.29 

25.49 

14.84 

7.43 

4.56 

6.53 

.lit 

55.67 

57.77 

55.04 

47.76 

37.18 

25.38 

14.75 

7.38 

4.56 

6.57 

.50 

55.71 

57.77 

54.99 

47.67 

37.06 

25.26 

14.66 

7.33 

4.55 

6.61 

TABLE  Vlir.    ARGUMENT  3, 

Equation  =  31".  16  +  0".345  sin.  t  —  20".808  sin.  2<  —  0".023  sin.  3t  —  0".65  sin.  4t. 

Period,  29.530588  days. 


Days.     1O 

11 

19 

13 

14 

15 

16 

17 

18 

19 

Days. 

.50 

II 

55.71 

57.77 

54*.99 

47.67 

37.06 

25.26 

14.66 

7.33 

4.55 

6".61 

.51 

55.75 

57.77 

54.94 

47.58 

36.94 

25.14 

14.57 

7.28 

4.55 

6.65 

.52 

55.79 

57.76 

54.89 

47.48 

36.82 

25.03 

14.48 

7.23 

4.55 

6.70 

.53 

55.84 

57.76 

54.83 

47.39 

36.71 

24.91 

14.38 

7.17 

4.54 

6.74 

.54 

55.88 

57.75 

54.78 

47.29 

36.60 

24.80 

14.29 

7.12 

4.54 

6.79 

.55 

55.92 

57.75 

54.73 

47.20 

36.48 

24.68 

14.20 

7.07 

4.54 

6.83 

.56 

55.96 

57.74 

54.67 

47.10 

36.36 

24.57 

14.11 

7.02 

4.54 

6.88 

.57 

56.00 

57.73 

54.62 

47.01 

36.24 

£4.45 

14.02 

6.97 

4.54 

6.92 

.58 

56.04 

57.73 

54.56 

46.91 

36.13 

24.34 

13.93 

6.93 

4.54 

6.97 

.59 

56.08 

57.72 

54.51 

46.82 

36.01 

24.22 

13.84 

6.88 

4.54 

7.01 

.60 

56.12 

57.71 

54.45 

46.72 

35.89 

24.11 

13.75 

6.83 

4.54 

7.06 

.61 

56.16 

57.70 

54.39 

46.62 

35.77 

24.00 

13.66 

6.78 

4.54 

7.11 

.62 

56.20 

57.69 

54.33 

46.53 

35.65 

23.88 

13.57 

6.74 

4.55 

7.16 

.63 

56.23 

57.68 

54.28 

46.43 

35.54 

23.77 

13.48 

6.69 

4.55 

7.21 

.64 

56.27 

57.67 

54.22 

46.34 

35.42 

23.65 

13.39 

6.65 

4.56 

7.26 

.65 

56.31 

57.66 

54.16 

46.24 

35.30 

23.54 

13.30 

6.60 

4.56 

7.31 

.66 

56.35 

57.65 

54.10 

46.14 

35.18 

23.43 

13.21 

6.56 

4.57 

7.36 

.67 

56.38 

57.S4 

54.04 

46.04 

35.06 

23.31 

13.13 

6.51 

4.57 

7.41 

.68 

56.42 

57.63 

53.99 

45.95 

34.95 

23.20 

13.04 

6.47 

4.58 

7.46 

.69 

56.45 

57.62 

53.93 

45.85 

34.83 

23.08 

12.96 

6.42 

4.58 

7.51 

.70 

56.49 

57.61 

53.87 

45.75 

34.71 

22.97 

12.87 

6.38 

4.59 

7.56 

.71 

56.52 

57.60 

53.81 

45.65 

34.59 

22.86 

12.79 

6.34 

4.60 

7.61 

.72 

56.56 

57.58 

53.75 

45.55 

34.48 

22.75 

12.70 

6.30 

4.60 

7.66 

.73 

56.59 

57.57 

53.69 

45.45 

34.36 

22.63 

12.62 

6.26 

4.61 

7.72 

.74 

56.63 

57.55 

53.63 

45.35 

34.25 

22.52 

12.53 

6.22 

4.61 

7.77 

.75 

56.66 

57.54 

53.57 

45.25 

34.13 

22.41 

12.45 

6.18 

4.62 

7.82 

.76 

56.69 

57.52 

53.50 

45.15 

34.01 

22.30 

12.37 

6.14 

4.63 

7.87 

.77 

56.72 

57.50 

53.44 

45.05 

33.89 

22.19 

12.29 

6.10 

4.64 

7.93 

.78 

56.75 

57.49 

53.37 

44.94 

33.78 

22.07 

12.20 

6.06 

4.65 

7.98 

.79 

56.78 

57.47 

53.31 

44.84 

33.66 

21.96 

12.12 

6.02 

4.66 

8.04 

.80 

56.81 

57.45 

53.24 

44.74 

33.54 

21.85 

12.04 

5.98 

4.67 

8.10 

.81 

56.84 

57.43 

53.17 

44.64 

33.42 

21.74 

11.96 

5.94 

4.68 

8.16 

.82 

56.87 

57.41 

53.10 

44.54 

33.30 

21.63 

11.88 

5.91 

4.70 

8.21 

.83 

56.90 

57.39 

53.04 

44.43 

33.18 

21.52 

11.79 

5.87 

4.71 

8.27 

.84 

56.93 

57.37 

52.97 

44.33 

33.06 

21.41 

11.71 

5.84 

4.73 

8.32 

.85 

56.96 

57  35 

52.90 

44.23 

32.94 

21.30 

11.63 

5.80 

4.74 

8.38 

.86 

56.99 

57.33 

52.83 

44.13 

3282 

21.19 

11.55 

5.77 

4.75 

8.44 

.87 

57.01 

57.31 

52.76 

44.02 

32.70 

21.08 

11.47 

5.73 

4.77 

8.50 

.88 

57.04 

57.29 

52.70 

43.92 

32.59 

20.97 

11.39 

5.70 

4.78 

8.55 

.89 

57.06 

57.27 

52.63 

43.81 

32.47 

20.86 

11.31 

5.66 

4.80 

8.61 

.90 

57.09 

57.25 

52.56 

43.71 

32.35 

20.75 

11.23 

5.63 

4.81 

8.67 

.91 

57.11 

57.23 

52.49 

43.61 

32.23 

20.64 

11.15 

5.60 

4.83 

8.73 

.92 

57.14 

57.20 

52.42 

43.50 

32.11 

20.53 

11.08 

5.57 

4.85 

8.79 

.93 

57.16 

57.18 

52.35 

43.40 

32.00 

20.43 

11.00 

5.53 

4.86 

8.86 

.94 

57.19 

57.15 

52.28 

43.29 

31.88 

20.32 

10.93 

5.50 

4.88 

8.92 

.95 

57.21 

57.13 

52.21 

43.19 

31.76 

20.21 

10.85 

5.47 

4.90 

8.98 

.96 

57.23 

57.10 

52.14 

43.08 

31.64 

20.10 

10.78 

5.44 

4.92 

9.04 

.97 

57.25 

57.07 

52.06 

42.97 

31.52 

19.99 

10.70 

5.41 

4.94 

9.10 

.98 

57.28 

57.05 

51.99 

42.87 

31.40 

19.89 

10.63 

5.39 

4.96 

9.17 

.99 

57.30 

57.02 

51.91 

42.76 

31.28 

19.78 

,  10.55 

5.36 

4.98 

9.23 

1.00 

57.32        56.99 

51.84 

42.65 

31.16 

19.67 

10.48 

5.33 

5.00 

9.29 

249 


TABLE  VIII".    ARGUMENT  3. 

Equation  =  31".  16  +  0".345  sin.  t  —  20".808  sin.  2t  —  0".023  sin.  3t  —  0".65  sin.  4*. 

Period,  29.530588  days. 


Days.     2O 

21 

99 

23 

24 

25 

26 

27 

28 

29 

l)iiya. 

.00 

9.29 

17.23 

27*.39 

38.16 

47.89 

54  .99 

58.14 

56.54 

50.21 

40.18 

.01 

9.35 

17.32 

27.50 

38.26 

47.98 

55.04 

58.15 

56.50 

50.1-2 

40.07 

.02 

9.4-2 

17.4-2 

27.61 

38.37 

48.06 

55.09 

58.16 

56.46 

50.04 

39.95 

.03 

9.48 

17.51 

27.71 

38.47 

48.15 

55.15 

58.16 

56.41 

49.95 

39.84 

.04 

9.55 

17.61 

27.82 

38.58 

48.23 

55.20 

58.17 

56.37 

49.87 

39.72 

.05 

9.61 

17.70 

27.93 

38.68 

48.32 

55.25 

58.18 

56.33 

49.78 

39.61 

.06 

9.68 

17.79 

28.04 

38.79 

48.40 

5&.80 

58.18 

56.29 

49.69 

39.50 

.07 

9.74 

17.89 

28.14 

38.89 

.     48.49 

55.35 

58.19 

56.24 

49.60 

39.38 

.08 

9.81 

17.98 

28.25 

39.00 

48.57 

55.40 

58.19 

56.20 

49.52 

39.27 

.09 

9.87 

18.08 

28.35 

39.10 

48.66 

55.45 

58.20 

56.15 

49.43 

39.15 

.10 

9.94 

18.17 

28.46 

39.21 

48.74 

55.50 

58.20 

56.11 

49.34 

39.04 

.11 

10.01 

18.27 

28.57 

39.31 

48.82 

55.55 

58.20 

56.06 

49.25 

38.92 

.12 

10.08 

18.36 

28.68 

39.42 

48.91 

55.60 

58.21 

56.02 

49.16 

38.81 

.13 

10.14 

18.46 

28.78 

39.52 

48.99 

55.61 

5M.-2  1 

55.97 

49.08 

38.69 

.14 

10.21 

1855 

28.89 

39.63 

49.08 

55.61, 

58.22 

55.93 

48.99 

38.58 

.15 

10.28 

18.65 

29.00 

39.73 

49.16 

56.74 

58.22 

55.88 

48.90 

38.46 

.16 

1035 

18.75 

29.11 

39.83 

49.24 

65.7S 

58.99 

55.83 

48.81 

88.84 

.17 

10.42 

18.84 

29.22 

39.93 

49.32 

55.8:} 

58.82 

55.78 

48.72 

38.23 

.18 

10.49 

18.94 

29.33 

40.04 

49.41 

55.88 

58.18 

55.73 

48.63 

38.11 

.19 

10.56 

19.03 

29.44 

40.14 

49.49 

55.92 

58.2-2 

55.68 

48.54 

38.00 

.20 

10.63 

19.13 

29.55 

40.24 

49.57 

55.97 

58.22 

55.63 

48.45 

37.88 

.21 

10.70 

19.23 

29.66 

40.34 

49.65 

56.01 

58.22 

55.58 

48.36 

37.76 

.22 

10.77 

19.33 

29.77 

40.44 

49.73 

56.06 

58.22 

55.53 

48.27 

37.65 

.23 

10.84 

19.42 

29.87 

40.55 

49.81 

5'M.           5S.-21 

55.48 

48.17 

87.63 

.24 

10.91 

19.52 

29.98 

40.65 

49.89 

56.15        58.21 

55.43 

48.08 

37.42 

I 

.25 

10.98 

19.62 

30.09 

40.75 

49.97 

56.19         58.21 

55.38 

47.99 

37.30 

.26 

11.05 

19.72 

30.20 

40.85 

50.05 

56.23         58.20 

55.33 

47.89 

37.18 

.27 

11.13 

19.82 

30.31 

40.95 

50.13 

56.27 

5850 

55.27 

47.80 

37.06 

.28 

11.20 

19.91 

30.41 

41.06 

50.20 

56.32 

58.19 

55.22 

47.70 

36.95 

.29 

11.28 

20.01 

30.52 

41.16 

50.28 

56.36 

58.19 

55.16 

47.61 

36.83 

.30 

11.35 

20.11 

30.63 

41.26 

50.36 

56.40 

58.18 

55.11 

47.52 

36.71 

.31 

11.42 

20.21 

30.74 

41.36 

50.44 

56.44 

58.17 

55.05 

47.42 

36.59 

.32 

11.50 

20.31 

30.85 

41.46 

50.52 

56.48 

58.16 

55.00 

47.33 

86.47 

.33 

11.57 

20.41 

30.95 

41.57 

50.59 

56.52 

58.16 

54.94 

47.23 

36.36 

.34 

11.65 

20.51 

31.06 

41.67 

50.67 

56.56 

58.15 

54.89 

47.14 

36.24 

.35 

11.72 

20.61 

31.17 

41.77 

50.75 

56.60 

58.14 

54.83 

47.04 

36.12 

.36 

11.80 

20.71 

31.28 

41.87 

50.83 

56.64 

58.13 

54.77 

46.94 

36.00 

.37 

11.87 

20.81 

31.39 

41.97 

50.90 

56.68 

58.12 

54.71 

46.84 

35.88 

.38 

11.95 

20.91 

31.50 

42.07 

50.98 

56.71 

58.  1  1 

54.66 

46.75 

35.77 

.39 

12.02 

21.01 

31.61 

42.17 

51.05 

56.75 

58.10 

54.60 

46.65 

35.65 

.40 

12.10 

21.11 

31.72 

42.27 

51.13 

56.79 

58.09 

54.54 

46.55 

35.53 

.41 

12.18 

21.21 

31.83 

42.37 

51.20 

56.82 

5H.08 

54.48 

46.45 

35.41 

.42 

12.26 

21.31 

31.93 

42.47 

51.28 

56.66 

58.07 

5443 

46.35 

35.29 

.43 

12.33 

21.42 

32.04 

42.56 

51.35 

56.89 

58.05 

54.86 

46.26 

35.18 

.44 

12.41 

21.52 

32.15 

42.66 

51.43 

56.93 

58.04 

54.30 

46.16 

35.06 

.45 

12.49 

>     21.62 

32.26 

42.76 

51.50 

56.96 

58.03 

54.24 

46.06 

34.94 

.46 

12.57 

21.72 

32.37 

42.86 

51.57 

5699 

58.02 

54.  IN 

45.96 

34.82 

.47 

12.65 

21.82 

32.48 

42.96 

51.64 

57.02 

58.00 

54.12 

45.86 

34.70 

.48 

12.72 

21.93 

32.58 

43.05 

51.72 

57.06 

57.99 

54.05 

45.76 

34.58 

.49 

12.80 

22.03 

32.69 

43.15 

51.79 

57.09 

57.97 

53.99 

45.66 

34.46 

.50 

12.88 

22.13 

32.80 

43.25 

51.86 

57.13 

57.96 

5393 

45.55 

34.34 

250 


TABLE  VIIF.    ARGUMENT  3. 

Equation  =  31".16  +  0".345  sin.  t  —  20".808  sin.  2t  —  0".023  sin.  3t  —  0".65  sin.  4t. 

Period,  29.530588  days. 


Days.     3O 

31 

33 

33 

34 

95 

36 

97 

98 

2» 

Daya. 

.50 

12.88 

22.13 

32*.80 

43.25 

51.86 

57.13 

57.96 

53".93 

45.55 

34.34 

.51 

12.96 

22.23 

32.91 

43.35 

51.93 

57.15 

57.94 

53.86 

45.45 

34.22 

.52 

13.04 

22.33 

33.02 

43.45 

52.00 

57.18 

57.92 

53.80 

45.35 

34.10 

.53 

13.13 

22.44 

33.12 

43.54 

52.08 

57.21 

57.91 

53.73 

45.24 

33.98 

.51 

13.21 

22.54 

33.23 

43.64 

52.15 

57.24 

57.89 

53.67 

45.14 

33.86 

.55 

13.29 

22.64 

33.34 

43.74 

5222 

57.27 

57.87 

53.60 

45.04 

33.74 

.56 

13.37 

22.74 

33.45 

43.84 

52.29 

57.30 

57.85 

53.53 

44.94 

33.62 

.57 

13.45 

22.85 

33.56 

43.93 

52.36 

57.33 

57.83 

53.47 

44.84 

33.50 

.58 

13.54 

22.95 

33.66 

44.03 

52.43 

57.36 

57.80 

53.40 

44.73 

33.39 

.59 

13.62 

23.06 

33.77 

44.12 

52.50 

57.39 

57.78 

53.34 

44.63 

33.27 

.60 

13.70 

23.16 

33.88 

44.22 

52.57 

57.42 

57.76 

53.27 

44.53 

33.15 

.61 

13.78 

23.26 

33.99 

44.32 

52.64 

57.45 

57.74 

53.20 

44.43 

33.03 

.62 

13.87 

23.37 

34.10 

44.41 

52.70 

57.48 

57.72 

53.13 

44.32 

32.91 

.63 

13.95 

23.47 

34.20 

44.51 

52.77 

57.50 

57.69 

53.06 

44.22 

32.79 

.64 

14.04 

23.58 

34.31 

44.60 

52.83 

57.53 

57.67 

52.99 

44.11 

32.67 

.65 

14.12 

23.68 

34.42 

44.70 

52.90 

57.56 

57.65 

52.92 

44.01 

32.55 

.66 

14.20 

23.78 

34.53 

44.79 

52.96 

57.58 

57.63 

52.85 

43.90 

32.43 

.67 

14.29 

23.89 

34.64 

44.89 

53.03 

57.61 

57.60 

52.78 

43.80 

32.31 

.68 

14.37 

23.99 

34.74 

44.98 

53.09 

57.63 

57.58 

52.70 

43.69 

32.18 

.69 

14.46 

24.10 

34.85 

45.08 

53.16 

57.66 

57.55 

52.63 

43.59 

32.06 

.70 

14.54 

24.20 

34.96 

45.17 

53.22 

57.68 

57.53 

52.56 

43.48 

31.94 

.71 

14.63 

2431 

35.07 

45.26 

53.28 

57.70 

57.50 

52.49 

43.37 

31.82 

.72 

14.71 

24.41 

35.18 

45.36 

53.35 

57.72 

57.48 

52.42 

43.26 

31.70 

.73 

14.80 

24.52 

35.28 

45.45 

53.41 

57.74 

57.45 

52.34 

43.16 

31.58 

.74 

14.88 

24.62 

35.39 

45.55 

53.48 

57.76 

57.43 

52.27 

43.05 

31.46 

.75 

14.97 

2473 

35.50 

45.64 

53.54 

57.78 

57.40 

52.20 

42.94 

31.34 

.76 

15.06 

24.84 

35.61 

45.73 

53.60 

57.80 

57.37 

52.12 

42.83 

31.22 

.77 

15.15 

24.94 

35.72 

45.82 

53.66 

57.82 

57.34 

52.05 

42.72 

31.10 

.78 

15.23 

25.05 

35.82 

45.92 

53.73 

57.83 

57.32 

51.97 

42.62 

30.98 

.79 

15.32 

25.15 

35.93 

46.01 

53.79 

57.85 

57.29 

5J.  90 

42.51 

30.86 

.80 

15.41 

25.26 

36.04 

46.10 

53.85 

57.87 

57.26 

51.82 

42.40 

30.74 

.81 

15.50 

25.37 

36.15 

46.19 

53.91 

57.89 

57.23 

51.74 

42.29 

30.62 

.82 

15.59 

25.47 

36.25 

46.28 

53.97 

57.91 

57.20 

51.66 

42.18 

30.50 

.83 

15.68 

25.58 

36.36 

46.38 

54.03 

57.92 

57.16 

51.59 

42.07 

30.38 

.84 

15.77 

25.68 

36.46 

46.47 

54.09 

57.94 

57.13 

51.51 

41.96 

30.26 

.85 

15.86 

25.79 

36.57 

46.56 

54.15 

57.96 

57.10 

51.43 

41.85 

30.14 

.86 

15.95 

25.90 

36.68 

46.65 

54.21 

57.97 

57.06 

51.35 

41.74 

30.02 

.87 

16.04 

26.00 

36.78 

46.74 

54.27 

57.99 

57.03 

51.27 

41.63 

29.90 

.88 

16.13 

26.11 

36.89 

46.83 

54.32 

58.00 

56.99 

51.19 

41.52 

29.78 

.89 

16.22 

26.21 

36.99 

46.92 

54.38 

58.02 

56.96 

51.11 

41.41 

29.66 

.90 

16.31 

26.32 

37.10 

47.01 

54.44 

58.03 

56.92 

51.03 

41.30 

29.54 

.91 

16.40 

26.43 

37.21 

47.10 

54.50 

58.04 

56.88 

50.95 

41.19 

29.42 

.92 

16.49 

26.53 

37.31 

47.19 

54.55 

58.05 

56.84 

50.87 

41.08 

29.30 

.93 

16.59 

26.64 

37.42 

47.27 

54.61 

58.07 

56.81 

50.79 

40.96 

29.18 

.94 

16.68 

26.74 

37.52 

47.36 

54.66 

58.08 

56.77 

50.71 

40.85 

29.06 

.95 

16.77 

26.85 

37.63 

47.45 

54.72 

58.09 

56.73 

50.63 

40.74 

28.94 

.96 

16.86 

26.96 

37.74 

47.54 

54.77 

58.10 

56.69 

50.55 

40.63 

28.82 

.97 

16.95 

27.07 

37.84 

47.63 

54.83 

58.11 

56.65 

50.46 

40.52 

28.70 

.98 

17.05 

27.17 

37.95 

47.71 

54.88 

58.12 

56.62 

50.38 

40.40 

28.58 

.99 

17.14 

27.28 

38.05 

47.80 

54.94 

58.13 

56.58 

50.29 

40.29 

28.46 

1.00 

17.23 

27.39 

38.16 

47.89 

54.99 

58.14 

56.54 

50.21 

40.18 

28.34 

251 


TABLES  XI.  XII". 


TABLES 
ARGUMENTS 


XI". 
6. 


xn". 

7. 


Days.     O            1O           20          3O 

Days.         O           1            3            3             4     Days. 

I',i\  >. 

0.0 

0.84 

0.35 

0.02 

0.65 

Days. 

.00 

10.19 

9.55 

7.06 

3.79 

1.06 

Days. 

1.00 

0.1 

0.84 

0.34 

0.02 

0.65 

.01 

10.19 

9.53 

7.03 

3.76 

1.04 

.99 

0.2 

0.84 

0.33 

0.03 

0.66 

.02 

10.20 

9.51 

7.00 

3.72 

1.02 

.98 

0.3 

0.84 

0.33 

0.03 

0.66 

.03 

10.20 

9.50 

6.97 

3.69 

1.00 

.97 

0.4 

0.84 

0.32 

0.03 

0.67 

.04 

10.21 

9.48 

6.94 

3.65 

0.98 

.96 

0.5 

0.84 

0.31 

0.04 

0.68 

.05 

10.21 

9.46 

6.91 

3.62 

0.96 

.95 

0.6 

0.84 

0.30 

0.04 

0.68 

.06 

10.21 

9.44 

6.88 

3.59 

0.94 

.94 

0.7 

0.84 

0.30 

0.04 

0.69 

.07 

10.21 

9.42 

6.85 

3.56 

0.92 

.93 

0.8 

0.84 

0.29 

0.05 

0.69 

.08 

10.22 

9.41 

6.81 

3.52 

0.90 

.92 

0.9 

0.84 

0.28 

0.05 

0.70 

.09 

10.22 

9.39 

6.78 

3.49 

0.88 

.91 

1.0 
1.1 
1.2 
1.3 
1.4 

0.84 
0.84 
0.84 
0.83 
0.83 

0.27 
0.26 
0.25 
&25 
0.24 

0.05 
0.06 
0.06 
0.07 
0.07 

0.70 
0.71 
0.71 
0.72 
0.72 

.10 
.11 
.12 
.13 
.14 

10.22 
10.22 
10.22 
10.23 
10.23 

9.37 
9.35 
9.33 
9.31 
9.29 

6.75 
6.72 
6.69 
6.65 
6.62 

3.46 
3.43 
3.40 
3.36 
3.33 

0.86 
0.84 
0.82 
0.81 
0.79 

.90 
.89 

.88 
.87 
.86 

1.5 
1.6 

0.83 
0.83 

0.23 
0.23 

0.07 
0.08 

0.73 
0.73 

.15 
.16 
.17 

10.23 
10.23 
10.23 

9.27 
9.25 
9.23 

6.59 
6.56 
6.53 

3.30 
3.27 
3.24 

0.77 
0.75 
0.73 

.85 
.84 
.83 

1.7 

0.83 

0.22 

0.08 

0.74 

.18 

10.24 

9.21 

6.49 

3.21 

0.72 

.82 

1.8 

0.82 

0.21 

0.08 

0.74 

.19 

10.24 

9.19 

6.46 

3.18 

0.70 

.81 

1.9 

0.82 

0.21 

0.09 

0.75 

.20 

10.24 

9.17 

6.43 

3.15 

0.68 

.80 

2.0 

0.82 

0.20 

0.09 

0.75 

.21 

10.24 

9.15 

6.40 

3.12 

0.66 

.79 

2.1 

0.82 

0.19 

0.10 

0.76 

.22 

10.24 

9.13 

6.37 

3.09 

0.65 

.78 

2.2 

0.81 

0.19 

0.10 

0.76 

.23 

1023 

9.11 

6.33 

3.06 

8.63 

.77 

2.3 

0.81 

0.18 

0.11 

0.77 

.24 

10.23 

9.09 

6.30 

3.03 

0.62 

.76 

2.4 

0.81 

0.18 

0.11 

0.77 

.25 

10.23 

9.07 

6.27 

3.00 

0.60 

.75 

2.5 

0.80 

0.17 

0.12 

0.78 

.26 

10.23 

9.05 

6.24 

2.97 

0.59 

.74 

2.6 

0.80 

0.16 

0.12 

0.78 

.27 

10.23 

9.03 

6.21 

2.94 

0.57 

.73 

2.7 

0.80 

0.16 

0.13 

0.78 

.28 

10.22 

9.00 

6.17 

2.91 

0.56 

.72 

2.8 

0.79 

0.15 

0.13 

0.79 

.29 

10.22 

8.98 

6.14 

2.88 

0.54 

.71 

2.9 

0.79 

0.15 

0.14 

0.79 

.30 

10.22 

8.96 

6.11 

2.85 

0.53 

.70 

3.0 
3.1 
3.2 
3.3 

0.79 
0.78 
0.78 
0.77 

0.14 
0.14 
0.13 
0.13 

0.14 
0.15 
0.15 
0.16 

0.79 
0.80 
0.80 
0.80 

.31 
.32 
.33 
.34 

10.22 
10.21 
10.21 
10.21 

8.94 
8.92 
8.89 
8.87 

6.08 
6.04 
6.01 
5.97 

2.82 
2.79 
2.76 
2.73 

0.52 
0.50 
0.49 
0.47 

.69 
.68 
.67 
.66 

3.4 

0.77 

0.12 

0.16 

0.81 

.35 

10.20 

8.85 

5.94 

2.70 

0.46 

.65 

.36 

10.20 

8.83 

5.91 

2.67 

0.45 

.64 

3.5 

0.77 

0.12 

0.17 

0.81 

.37 

10.20 

8.80 

5.88 

2.64 

0.43 

.63 

3.6 

0.76 

0.11 

0.18 

0.81 

.38 

10.19 

8.78 

5.84 

2.62 

0.42 

.62 

3.7 

0.76 

0.11 

0.18 

0.82 

.39 

10.19 

8.75 

5.81 

2.59 

0.40 

.61 

3.8 

0.75 

0.10 

0.19 

0.82 

3.9 

0.75 

0.10 

0.20 

0.82 

.40 

10.19 

8.73 

5.78 

2.56 

0.39 

.60 

.41 

10.18 

8.71 

5.75 

2.53 

0.38 

.59 

4.0 

0.75 

0.09 

0.20 

0.82 

.42 

10.18 

8.68 

5.71 

2.50 

0.37 

.58 

4.1 

0.74 

0.09 

0.21 

0.83 

.43 

10.17 

8.66 

5.68 

2.47 

0.35 

.57 

4.2 

0.74 

0.08 

0.21 

0.83 

.44 

10.17 

8.63 

5.64 

2.44 

0.34 

.56 

4.3 

0.73 

0.08 

0.22 

0.83 

4.4 

0.73 

0.07 

0.23 

0.83 

.45 

10.16 

8.61 

5.61 

2.41 

0.33 

.55 

.46 

10.15 

8.58 

5.58 

2.38 

0.32 

.54 

4.5 

0.72 

0.07 

0.23 

0.83 

.47 

10.15 

8.56 

5.54 

2.35 

0.31 

.53 

4.6 

0.72 

0.06 

0.24 

0.84 

.48 

10.14 

8.53 

5.51 

2.33 

0.29 

.52 

4.7 

0.71          0.06 

0.25 

0.84 

.49 

10.14 

8.51 

5.47 

2.30 

0.28 

.51 

4.8 

0.71          0.06 

0.26 

0.84 

.50 

10.13 

8.48 

5.44 

2.27 

0.27 

.50 

4.9 
50 

0.70 
0.70 

0.05 
0.05 

0.27 
0.27 

0.84 
0.84 

Days.         98765     Days. 

TABLES  XI".  XII". 


TABLES 

ARGUMENTS 


XI". 
6. 


XII". 
7. 


Days.     O             1O             2O           3O 

Days.         O           1            3            3            4    Days. 

Da  vs. 

5.0 

0.70 

0.05 

0.27 

0.84 

Days 
.50 

10.13 

8.48 

5.44 

2.27 

0.27 

Pay  a. 

.50 

5.1 

0.69 

0.05 

0.28 

0.84 

.51 

10.12 

8.45 

5.41 

2.24 

0.26 

.49 

5.2 

0.69 

0.04 

0.29 

0.84 

.52 

10.11 

8.43 

5.37 

2.21 

0.25 

.48 

5.3 

0.68 

0.04 

0.29 

0.84 

.53 

10.11 

8.40 

5.34 

2.19 

0.24 

.47 

5.4 

0.68 

0.04 

0.30 

0.84 

.54 

10.10 

8.38 

5.30 

2.16 

0.23 

.46 

5.5 

0.67 

0.03 

0.31 

0.84 

.55 

10.09 

8.35 

5.27 

2.13 

0.22 

.45 

5.6 

0.66 

0.03 

0.32 

0.84 

.56 

10.08 

8.32 

5.24 

2.10 

0.21 

.44 

5.7 

0.66 

0.03 

0.32 

0.84 

.57 

10.07 

8.30 

5.20 

2.08 

0.20 

.43 

5.8 

0.65 

0.03 

0.33 

0.84 

.58 

10.07 

8.27 

5.17 

2.05 

0.20 

.42 

5.9 

0.65 

0.02 

0.35 

0.84 

.59 

10.06 

8.25 

5.13 

2.03 

0.19 

.41 

6.0 
6.1 
6.2 
6.3 
6.4 

0.64 
0.63 
0.62 
0.62 
0.61 

0.02 
0.02 
0.02 
0.01 
0.01 

0.36 
0.37 
0.37 
0.38 
0.39 

0.84 
0.83 
0.83 
0.83 
0.83 

.60 
.61 
.62 
.63 
.64 

10.05 
10.04 
10.03 
10.03 
10.02 

8.22 
8.19 
8.17 
8.14 
8.12 

5.10 
5.07 
5.04 
5.00 
4.97 

2.00 
1.97 
1.95 
1.92 
1.90 

0.18 
0.17 
0.16 
0.16 
0.15 

.40 
.39 
.38 
.37 
.36 

.65 

10.01 

8.09 

4.94 

1.87 

0.14 

.35 

6.5 

0.60 

0.01 

0.39 

0.83 

.66 

1000 

8.06 

4.91 

1.84 

0.13 

.34 

6.6 

0.59 

0.01 

0.40 

0.82 

.67 

9.99 

8.03 

4.87 

1.82 

0.12 

.33 

6.7 

0.58 

0.01 

0.40 

0.82 

.68 

9.98 

8.01 

4.84 

1.79 

0.12 

.32 

6.8 

0.58 

0.00 

0.41 

0.82 

.69 

9.97 

7.98 

4.80 

1.77 

0.11 

.31 

6.9 

0.57 

0.00 

0.42 

0.82 

.70 

9.96 

7.95 

4.77 

1.74 

0.10 

.30 

7.0 

0.56 

0.00 

0.42 

0.81 

.71 

9.95 

7.92 

4.74 

1.72 

0.09 

.29 

7.1 

0.55 

0.00 

0.43 

0.81 

.72 

9.94 

7.89 

4.71 

1.69 

0.09 

.28 

7.2 

0.54 

0.00 

0.43 

0.81 

.73 

9.92 

7.87 

4.67 

1.67 

0.08 

.27 

7.3 

0.54 

0.00 

0.44 

0.80 

.74 

9.91 

7.84 

4.64 

1.64 

0.08 

.26 

7.4 

0.53 

0.00 

0.45 

0.80 

.75 

9.90 

7.81 

4.61 

1.62 

0.07 

.25 

7.5 

0.52 

0.00 

0.45 

0.80 

.76 

9.89 

7.78 

4.58 

1.60 

0.07 

.24 

7.6 

0.52 

0.00 

0.46 

0.79 

.77 

9.88 

7.*5 

4.51 

1.57 

C.OG 

.23 

7.7 

0.51 

0.00 

0.47 

0.79 

.78 

9.86 

7.72 

4.51 

1.55 

0.06 

.22 

7.8 

0.50 

0.00 

0.48 

0.79 

.79 

9.85 

7.69 

4.47 

1.52 

0.05 

.21 

7.9 

0.50 

0.00 

0.49 

0.78 

.80 

9.84 

7.66 

4.44 

1.50 

0.05 

.20 

8.0 
8.1 

8.2 
8.3 

0.49 
0.48 
0.48 
0.47 

0.00 
0.00 
0.00 
0.00 

0.50 
0.50 
0.51 
0.52 

0.78 
0.77 
0.77 
0.77 

.81 

.82 
.83 
.84 

9.83 
9.81 
9.80 
9.78 

7.63 
7.60 
7.58 
7.55 

4.41 
4.38 
4.34 
4.31 

1.48 
1.45 
1.43 
1.40 

0.05 
0.05 
0.04 
0.04 

.19 
.18 
.17 
.16 

8.4 

0.46 

0.00 

0.52 

0.76 

.85 

9.77 

7.52 

4.28 

1.38 

0.04 

.15 

.86 

9.76 

7.49 

4.25 

1.36 

0.03 

.14 

8.5 

0.46 

0.00 

0.53 

0.76 

.87 

9.74 

7.46 

4.21 

1.34 

0.03 

.13 

8.6 

0.45 

0.00 

0.54 

0.75 

.88 

9.73 

7.43 

4.18 

1.31 

0.03 

.12 

8.7 

0.44 

0.00 

0.54 

0.75 

.89 

9.71 

7.40 

4.14 

1.29 

0.02 

.11 

8.8 

0.44 

0.00 

0.55 

0.75 

8.9 

0.43 

0.00 

0.56 

0.74 

.90 

9.70 

7.37 

4.11 

1.27 

0.02 

.10 

.91 

9.69 

7.34 

4.08 

1.25 

0.02 

.09 

9.0 

0.42 

0.00 

0.57 

0.74 

.92 

9.67 

7.31 

4.05 

1.23 

0.02 

.08 

9.1 

0.41 

0.00 

0.58 

0.73 

.93 

9.66 

7.28 

4.01 

1.20 

0.01 

.07 

9.2 

0.40 

0.00 

0.58 

0.73 

.94 

9.64 

7.25 

3.98 

1.18 

0.01 

.06 

9.3 

0.40 

0.01 

0.59 

0.72 

9.4 

0.39 

0.01 

0.60 

0.72 

.95 

9.63 

7.22 

3.95 

1.16 

0.01 

.05 

.96 

9.61 

7.19 

3.92 

1.14 

0.01 

.04 

9.5 

0.38 

0.01 

0.61 

0.71 

.97 

9.60 

7.16 

3.89 

1.12 

0.01 

.03 

9.6 

0.38 

0.01 

0.61 

0.71 

.98 

9.58 

7.12 

3.85 

1.10 

0.00 

.02 

9.7 

0.37 

0.01 

0.62 

0.70 

.99 

9.57 

7.09 

3.82 

1.08 

0.00 

.01 

9.8 

0.36 

0.02 

0.63 

0.70 

1.00 

9.55 

7.06 

3.79 

1.06 

0.00 

.00 

9.9 
100 

0.36 
0.35 

0.02 
0.02 

0.64 
0.65 

0.69 
0.69 

Days.         98765     Days. 

253 


TABLES   Xlir.-XV. 


TABLES 
ARGUMENTS 


XIH". 
8. 


xrv". 

9. 


XV. 
10. 


Days. 

O 

1O 

O 

1O 

20 

0 

1O 

2O 

j>m 
0.0 

3.44 

6.55 

0.82 

0.21 

6.21 

o.oo 

6.72 

6.35 

0.1 

3.45 

0.60 

0.82 

0.20 

0.22 

0.00 

0.73 

0.34 

0.2 

3.45 

0.66 

0.82 

0.19 

0.23 

0.00 

0.74 

0.33 

0.3 

3.46 

0.71 

0.82 

0.19 

0.23 

0.00 

0.74 

0.32 

0.4 

3.46 

0.77 

0.82 

0.18 

0.24 

0.00 

0.75 

0.31 

0.5 

3.46 

0.83 

0.82 

0.17 

0.25 

0.00 

0.75 

0.30 

0.6 

3.45 

0.89 

0.82 

0.16 

0.26 

0.00 

0.76 

0.29 

0.7 

3.44 

0.95 

0.82 

0.16 

0.27 

0.00 

0.76 

0.28 

0.8 

3.43 

1.02 

0.81 

0.15 

0.27 

0.01 

0.77 

0.27 

0.9 

3.41 

1.08 

0.81 

0.15 

0.28 

0.01 

0.77 

0.26 

.0 

3.39 

1.15 

0.81 

0.14 

"0.29 

0.01 

0.77 

0.25 

.1 

3.37 

1.22 

0.81 

0.13 

0.30 

0.01 

0.78 

0.24 

.2 

3.34 

1.28 

0.81 

0.13 

0.31 

0.01 

0.78 

023 

.3 

3.31 

1.35 

0.80 

0.12 

0.31 

0.02 

0.79 

0.23 

.4 

3.28 

1.42 

0.80 

0.12 

0.32 

0.02 

0.79 

0.22 

.5 

3.25 

1.49 

0.80 

0.11 

0.33 

0.02 

0.80 

0.21 

.6 

3.21 

1.56 

0.80 

0.10 

0.34 

0.02 

0.80 

0.20 

.7 

3.18 

1.63 

0.80 

0.10 

0.35 

0.03 

0.80 

0.19 

.8 

3.14 

1.70 

0.79 

0.09 

0.36 

0.03 

0.81 

0.19 

.9 

3.10 

1.77 

0.79 

0.09 

0.37 

0.04 

0.81 

0.18 

2.0 

3.06 

1.84 

0.79 

0.08 

0.38 

0.04 

0.81 

0.17 

2.1 

3.01 

1.91 

0.79 

0.07 

0.39 

0.04 

0.81 

0.16 

2.2 

2.96 

1.98 

0.79 

0.07 

0.40 

0.05 

0.81 

0.15 

2.3 

2.91 

2.05 

0.78 

0.06 

0.40 

0.05 

0.82 

0.15 

2.4 

2.86 

2.11 

0.78 

0.06 

0.41 

0.06 

0.82 

0.14 

2.5 

2.81 

2.18 

0.78 

0.05 

0.42 

0.06 

0.82 

0.13 

2.6 

2.75 

225 

0.77 

0.05 

0.43 

0.07 

0.82 

0.12 

2.7 

2.69 

2.32 

0.77 

0.04 

0.44 

0.07 

0.82 

0.11 

2.8 

2.63 

2.38 

0.76 

0.04 

0.44 

0.08 

0.82 

0.11 

2.9 

2.57 

2.45 

0.76 

0.03 

0.45 

0.08 

0.82 

0.10 

3.0 

2.51 

2.51 

0.75 

0.03 

0.46 

0.09 

0.82 

0.09 

3.1 

2.45 

2.57 

0.74 

0.03 

0.47 

0.10 

0.82 

O.ON 

3.2 

2.39 

2.63 

0.74 

0.03 

0.48 

0.11 

0.82 

0.08 

3.3 

2.32 

2.69 

0.73 

0.02 

0.48 

0.11 

0.82 

0.07 

3.4 

2.25 

2.75 

0.73 

0.02 

0.49 

0.12 

0.82 

0.07 

3.5 

2.18 

2.81 

0.72 

0.02 

0.50 

0.13 

0.82 

0.06 

3.6 

2.11 

2.86 

0.71 

0.02 

0.51 

0.14 

0.82 

0.06 

3.7 

2.05 

2.91 

0.71 

0.02 

0.52 

0.15 

0.82 

0.05 

3.8 

.98 

2.96 

0.70 

0.01 

0.52 

0.15 

0.81 

0.05 

3.9 

.91 

3.01 

0.70 

0.01 

0.53 

0.16 

0.81 

0.04 

4.0 

.84 

3.06 

0.69 

0.01 

0.54 

0.17 

0.81 

0.04 

4.1 

.77 

3.10 

0.68 

0.01 

0.55 

0.18 

0.81 

0.04 

4.2 

.70 

3.14 

0.68 

0.01 

0.56 

0.19 

0.81 

0.03 

4.3 

.63 

3.18 

0.67 

0.00 

0.56 

0.19 

0.80 

0.03 

4.4 

.56 

3.21 

0.67 

0.00 

0.57 

0.20 

6.80 

0.02 

4.5 

.49 

3.25 

0.66 

0.00 

0.58 

0.21 

0.80 

0.02 

4.6 

.42 

3.28 

0.65 

0.00 

0.59 

0.22 

0.80 

0.02 

4.7 

1.35 

3.31 

0.64 

0.00 

0.60 

0.23 

0.79 

0.02 

4.8 

1.28 

3.34 

0.64 

0.00 

0.60 

0.23 

0.79 

0.01 

4.9 

1.22 

.-{.:n 

0.63 

0.00 

0.61 

0.24 

0.78 

0.01 

5.0 

1.15 

MQ 

0.62 

0.00 

0.62 

0.25 

0.78 

0.01 

254 


TABLES   XIII". -XV. 


TABLES   , 
ARGUMENTS 


XIII". 
8. 


XIV". 
9. 


XV". 
10. 


Days.        O                 1O 

O            1O              2O 

0               10             20 

Days. 

5.0 

1.15 

3.39 

0.62 

0.00 

6.62 

0.25 

0.78 

0.01 

5.1 

1.08 

3.41 

0.61 

0.00 

0.63 

0.26 

0.78 

0.01 

5.2 

1.02 

3.43 

0.60 

0.00 

0.64 

0.27 

0.77 

0.01 

5.3 

0.95 

3.44 

0.60 

0.00 

0.64 

0.28 

0.77 

0.00 

5.4 

0.89 

3.45 

0.59 

0.00 

0.65 

0.29 

0.76 

0.00 

5.5 

0.83 

3.46 

0.58 

0.00 

0.66 

0.30 

0.75 

0.00 

5.6 

0.77 

3.46 

0.57 

0.00 

0.67 

0.31 

0.74 

0.00 

5.7 

0.71 

3.46 

0.56 

0.00 

0.67 

0.32 

0.74 

0.00 

5.8 

0.66 

3.45 

0.56 

0.01 

0.68 

0.33 

0.73 

0.00 

5.9 

0.60 

3.45 

0.55 

0.01 

0.68 

0.34 

0.73 

0.00 

6.0 

0.55 

3.44 

0.54 

0.01 

0.69 

0.35 

0.72 

0.00 

6.1 

0.50 

3.43 

0.53 

0.01 

0.70 

0.36 

0.71 

0.00 

6.2 

0.45 

3.41 

0.52 

0.01 

0.70 

0.37 

0.70 

0.00 

6.3 

0.41 

3.40 

0.52 

0.02 

0.71 

0.38 

0.70 

0.00 

6.4 

0.36 

3.38 

0.51 

0.02 

0.71 

0.39 

0.69 

0.00 

6.5 

0.32 

3.36 

0.50 

0.02 

0.72 

0.40 

0.68 

0.00 

rv; 

0.281           3.33 

0.49 

0.02 

0.73 

0.41 

0.67 

0.00 

U.7 

0.25 

3.30 

0.48 

0.02 

0.73 

0.42 

0.66 

0.00 

68 

0.21 

3.27 

0.48 

0.03 

0.74 

0.43 

0.66 

0.01 

G.9 

0.18 

3.84 

0.47 

0.03 

0.74 

0.44 

0.65 

0.01 

7.0 

0.15 

,    3.20 

0.46 

0.03 

0.75 

0.45 

0.64 

0.01 

7.1 

0.12 

3.17 

0.45 

0.03 

0.75 

0.46 

0.63 

0.01 

7.2 

0.10 

3.13 

0.44 

0.04 

0.76 

0.47 

0.62 

0.02 

7.3 

0.08 

3.09 

0.43 

0.04 

0.76 

0.48 

0.62 

0.02 

7.4 

0.06 

3.05 

0.42 

0.05 

0.77 

0.49 

0.61 

0.03 

7.5 

0.04 

3.00 

0.41 

0.05 

0.77 

0.50 

O.GO 

0.03 

7.6 

0.03 

2.95 

0.40 

0.06 

0.77 

0.51 

0.59 

0.04 

7.7 

0.02 

2.90 

0.39 

0.06 

0.78 

0.52 

0.58 

0.04 

7.8 

0.01 

2.85 

0.39 

0.07 

0.78 

0.53 

0.57 

0.05 

7.9 

0.00 

2.80 

0.38 

0.07 

0.79 

0.54 

0.56 

0.05 

8.0 

0.00 

2.74 

0.37 

0.08 

0.79 

0.55 

0.55 

0.06 

8.1 

0.00 

2.68 

0.36 

0.09 

0.79 

0.5" 

0.54 

0.07 

8.2 

0.01 

2.62 

0.35 

0.10 

0.80 

0.57 

0.53 

0.07 

8.3 

0.02 

2.56 

0.35 

0.10 

0.80 

0.58 

0.52 

0.08 

8.4 

0.03 

2.50 

0.34 

0.11 

0.80 

0.59 

0.51 

0.08 

8.5 

0.04 

2.44 

0.33 

0.11 

0.80 

0.60 

0.50 

0.09 

8.6 

0.06 

2.37 

0.32 

0.12 

0.80 

0.61 

0.49 

0.10 

8.7 

0.08 

2.31 

0.31 

0.12 

0.81 

0.62 

0.48 

0.10 

8.8 

0.10 

2.24 

0.31 

0.13 

0.81 

0.62 

0.47 

0.11 

8.9 

0.12 

2.17 

0.30 

0.13 

0.81 

0.63 

0.46 

0.11 

9.0 

0.15 

2.10 

0.29 

0.14 

0.81 

0.64 

0.45 

0.12 

9.1 

0.18 

2.04 

0.28 

0.15 

0.81 

0.65 

0.44 

0.13 

9.2 

0.21 

1.97 

0.27 

0.15 

0.81 

0.66 

0.43 

0.14 

9.3 

0.25 

1.90 

0.27 

0.16 

0.82 

0.66 

0.42 

0.14 

9.4 

0.28 

1.83 

0.26 

0.16 

0.82 

0.67 

0.41 

0.15 

9.5 

0.32 

1.76 

0.25 

0.17 

0.82 

0.68 

0.40 

0.16 

9.6 

0.36 

1.69 

0.24 

0.18 

0.82 

0.69 

0.39 

0.17 

9.7 

0.41 

1.62 

0.23 

0.19 

0.82 

0.70 

0.38 

0.18 

9.8 

0.45 

1.55 

0.23 

0.19 

0.82 

0.70 

0.37 

0.19 

9.9 

0.50 

1.48 

0.22 

0.20 

0.82 

0.71 

0.36 

0.20 

10.0 

0.55 

1.41 

0.21 

0.21 

0.82 

0.72 

0.35 

0.21 

255 


TABLES  XVr.-XX" 


TABLES 
AKGUMENTS 


XVI". 
11. 


XVIII". 
13. 


XIX'. 
14. 


XX". 


Days 

.    O 

10 

20 

0 

0 

10 

20 

O 

1O 

Days 

0.0 

0.00 

6.46 

6.34 

1.68 

d.oo 

6.12 

6.14 

6.03 

6.50 

0.1 

0.00 

0.47 

0.33 

1.71 

0.00 

0.12 

0.14 

0.03 

0.49 

0.2 

0.00 

0.47 

0.32 

1.74 

0.00 

0.12 

0.13 

0.02 

0.48 

0.3 

0.00 

0.48 

0.32 

1.76 

0.00 

0.12 

0.13 

0.02 

0.47 

0.4 

0.00 

0.48 

0.31 

1.78 

0.00 

0.12 

0.13 

0.01 

0.46 

0.5 

0.00 

0.49 

0.30 

1.80 

0.00 

0.12 

0.13 

0.01 

0.45 

0.6 

0.00 

0.49 

0.29 

1.81 

0.00 

0.13 

0.13 

0.01 

0.44 

0.7 

0.00 

0.50 

0.29 

1.82 

0.00 

0.13 

0.12 

0.01 

0.42 

0.8 

0.00 

0.50 

0.28 

1.83 

0.00 

0.13 

0.12 

0.00 

0.41 

0.9 

0.00 

0.51 

0.28 

1.84 

0.00 

0.13 

0.12 

0.00 

0.39 

.0 

0.00 

0.51 

0.27 

1.84 

0.00 

0.13 

0.12 

0.00 

0.38 

.1 

0.00 

0.51 

0.26 

1.83 

0.00 

0.13 

0.12 

0.00 

0.37 

.2 

0.00 

0.52 

0.26 

.83 

0.00 

0.14 

0.12 

0.00 

0.36 

.3 

0.01 

0.52 

0.25 

.82 

0.00 

0.14 

0.12 

0.01 

0.34 

.4 

0.01 

0.53 

0.25 

.81 

0.00 

0.14 

0.12 

0.01 

0.33 

1.5 

0.01 

053 

0.24 

.79 

0.00 

0.14 

0.12 

0.01 

0.32 

1.6 

0.01 

0.53 

0.23 

.77 

0.00 

0.14 

0.11 

0.02 

0.31 

1.7 

0.01 

0.5  1 

0.22 

.74 

0.00 

0.14 

0.11 

0.02 

0.29 

1.8 

0.02 

0.54 

0.22 

.71 

0.00 

0.15 

0.11 

0.03 

0.28 

1.9 

0.02 

0.55 

0.21 

.68 

0.00 

0.15 

0.11 

0.03 

0.26 

2.0 

0.02 

0.55 

0.20 

1.65 

0.00 

0.15 

0.11 

0.04 

0.25 

2.1 

0.02 

0.55 

0.19 

1.61 

0.00 

0.15 

0.11 

0.05 

0.24 

2.2 

0.02 

0.55 

0.19 

1.57 

0.00 

0.15 

0.10 

0.06 

0.23 

2.3 

0.03 

0.56 

0.18 

1.53 

0.00 

0.15 

0.10 

0.06 

0.21 

2.4 

0.03 

0.56 

0.18 

1.49 

0.00 

0.15 

0.10 

0.07 

0.20 

2.5 

0.03 

0.56 

0.17 

1.45 

0.01 

0.15 

0.10 

0.08 

0.19 

2.6 

0.03 

0.56 

0.16 

1.40 

0.01 

0.15 

0.10 

0.09 

0.18 

2.7 

0.04 

0.56 

0.16 

1.35 

0.01 

0.15 

0.10 

0.10 

0.17 

2.8 

0.04 

0.57 

0.15 

1.30 

0.01 

0.15 

0.09 

0.11 

0.15 

2.9 

0.05 

0.57 

0.15 

1.24 

0.01 

0.15 

0.09 

0.12 

0.14 

3.0 

0.05 

0.57 

0.14 

1.19 

0.01 

0.15 

0.09 

0.13 

0.13 

3.1 

0.05 

0.57 

0.13 

1.13 

0.01 

0.15 

0.09 

0.14 

0.12 

3.2 

0.06 

0.57 

0.13 

1.08 

0.01 

0.15 

0.09 

0.15 

0.11 

3.3 

0.06 

0.58 

0.12 

1.02 

0.01 

,      0.15 

0.08 

0.16 

0.10 

3.4 

0.07 

0.58 

0.12 

0.97 

0.01 

0.15 

0.08 

0.18 

0.09 

3.5 

0.07 

0.58 

0.11 

0.91 

0.01 

0.15 

0.08 

0.19 

0.08 

3.6 

0.07 

0.58 

0.11 

0.85 

0.02 

0.15 

0.08 

0.20 

0.07 

3.7 

0.08 

0.58 

0.10 

0.80 

0.02 

0.15 

0.07 

0.21 

0.06 

3.8 

0.08 

0.58 

0.10 

0.74 

0.02 

0.15 

0.07 

0.23 

0.06 

3.9 

0.09 

0.58 

0.09 

'  0.69 

0.02 

0.15 

0.07 

0.24 

0.05 

4.0 

0.09 

0.58 

0.09 

0.63 

0.02 

0.16 

0.06 

0.25 

0.04 

4.1 

0.09 

0.58 

0.09 

0.58 

0.02 

0.16 

0.06 

0.26 

0.03 

4.2 

0.10 

0.58 

0.08 

0.52 

0.02 

0.16 

0.06 

0.28 

0.03 

4.3 

0.10 

0.58 

0.08 

0.47 

0.03 

0.16 

0.06 

0.29 

0.02 

4.4 

0.11 

0.58 

0.07 

0.42 

0.03 

0.16 

0.05 

0.31 

0.02 

4.5 

0.11 

0.58 

0.07 

0.37 

0.03 

0.16 

0.05 

0.32 

0.01 

u; 

0  12 

0.58 

0.07 

0.33 

0.03 

0.16 

0.05 

0.83 

0.01 

4.7 

0.12 

0.58 

0.06 

0.29 

0.03 

0.16 

0.05 

0.34 

0.01 

4.8 

0.13 

0.57 

0.06 

0.25 

0.03 

0.16 

0.04 

0.36 

0.00 

l.'.i 

0.13 

0.57 

0.05 

0.21 

0.04 

0.16 

0.04 

0.37 

0.00 

5.0 

0.14 

0.57 

0.05 

0.17 

0.04 

0.16 

0.04 

0.38 

0.00 

256 


TABLES  XVI'.- XX'. 


TABLES 

ARGUMENTS 


XVI". 
11. 


XVIII". 
13. 


XIX". 
14. 


XX". 
15. 


Days.     O              1O                2O 

O 

O          1O             '-»<» 

O          10 

Days 

5.0 

0.14 

0.57'         0.05 

o".17 

0.04 

0.16 

0.04 

0.38 

0.00 

5.1 

0.15 

0.57 

0.05 

0.14 

0.04 

0.16 

0.04 

0.39 

0.00 

5.2 

0.15 

Q.bi 

0.04 

0.11 

0.04 

0.16 

0.04 

0.41 

0.00 

5.3 

0.16 

0.56 

0.04 

0.09 

0.04 

0.16 

0.04 

0.42 

0.00 

5.4 

0.16 

0.56 

0.03 

0.07 

0.04 

0.16 

0.04 

0.44 

0.01 

5.5 

0.17 

0.56 

0.03 

0.05 

0.05 

0.16 

0.04 

0.45 

0.01 

5.6 

0.18 

0.56 

0.03 

0.03 

0.05 

0.16 

0.03 

0.46 

0.01 

5.7 

0.18 

0.56 

0.03 

0.02 

0.05 

0.16 

0.03 

0.47 

0.01 

5.8 

0.19 

0.55 

0.02 

0.01 

0.05 

0.16 

0.03 

0.48 

0.02 

5.9 

0.19 

0.55 

0.02 

0.01 

0.05 

0.16 

0.03 

0.49 

0.02 

6.0 

0.20 

0.55 

0.02 

0.00 

0.05 

0.16 

0.03 

0.50 

0.02 

6.1 

0.21 

0.55 

0.02 

0.01 

0.05 

0.16 

0.03 

0.51 

0.03 

6.2 

0.22 

0.54 

0.02 

0.01 

0.06 

0.16 

0.03 

0.52 

0.04 

6.3 

0.22 

0.54 

0.01 

0.02 

0.06 

0.16 

0.02 

0.53 

0.04 

6.4 

0.23 

0.53 

0.01 

0.03 

0.06 

0.16 

0.02 

0.54 

0.05 

6.5 

0.24 

053 

0.01 

0.05 

0.06 

0.16 

0.02 

0.55 

0.06 

6.6 

0.25 

0.53 

0.01 

0.07 

0.06 

0.16 

0.02 

0.56 

0.07 

6.7 

0.25 

0.52 

0.01 

0.09 

0.06 

0.16 

0.02 

0.57 

0.08 

6.8 

0.26 

0.52 

0.01 

0.11 

0.07 

0.16 

0.01 

0.57 

0.08 

6.9 

0.26 

0.51 

0.00 

0.14 

0.07 

0.16 

0.01 

0.58 

0.09 

7.0 

0.27 

0.51 

•  0.00 

0.17 

0.07 

0.16 

0.01 

0.59 

0.10 

7.1 

0.28 

0.51 

0.00 

0.20 

0.07 

0.16 

0.01 

0.59 

0.11 

7.2 

0.28 

0.50 

0.00 

0.24 

0.07 

0.16 

0.01 

0.60 

0.12 

7.3 

0.29 

0.50 

0.00 

0.28 

0.07 

0.16 

0.01 

0.60 

0.13 

7.4 

0.29 

0.49 

0.00 

0.32 

0.07 

0.16 

0.01 

0.61 

0.14 

7.5 

0.30 

0.49 

0.00 

0.37 

0.08 

0.16 

0.01 

0.61 

0.15 

7.6 

0.31 

0.48 

0.00 

0.42 

0.08 

0.16 

0.01 

0.61 

0.16 

7.7 

0.32 

0.48 

0.00 

0.47 

0.08 

0.16 

0.01 

.    0.61 

0.17 

7.8 

0.32 

0.47 

0.00 

0.52 

0.08 

0.16 

0.0  1 

0.62 

0.19 

7.9 

0.33 

0.47 

0.00 

0.58 

0.08 

0.16 

0.01 

0.62 

0.20 

8.0 

0.34 

0.46 

0.00 

0.63 

0.08 

0.16 

0.01 

0.62 

0.21 

8.1 

0.35 

0.45 

0.00 

0.69 

0.08 

0.16 

0.01 

0.62 

0.22 

8.2 

0.35 

0.45 

0.00 

0.74 

0.09 

0.16 

0.01 

0.62 

0.24 

8.3 

0.36 

0.44 

0.01 

0.80 

O.Q9 

0.16 

0.01 

0.61 

0.25 

8.4 

0.36 

0.44 

0.01 

0.85 

0.09 

0.16 

0.01 

0.61 

0.27 

8.5 

0.37 

0.43 

0.01 

0.91 

0.09 

0.16 

0.00 

0.61 

0.28 

8.6 

0.38 

0.42 

0.01 

0.97 

0.09 

0.15 

0.00    - 

0.61 

0.29 

8.7 

0.38 

0.42 

0.01 

1.02 

0.09 

0.15 

0.00 

0.60 

0.31 

8.8 

0.39 

0.41 

0.02 

1.08 

0.10 

0.15 

0.00 

0.60 

0.32 

8.9 

0.39 

0.41 

0.02 

1.13 

0.10 

0.15 

0.00 

0.59 

0.34 

9.0 

0.40 

0.40 

0.02 

1.19 

0.10 

0.15 

0.00 

0.59 

0.35 

9.1 

0.41 

0.39 

0.02 

1.24 

0.10 

0.15 

0.00 

0.58 

0.36 

9.2 

0.41 

0.39 

0.03 

1.30 

0.10 

0.15 

0.00 

0.57 

0.37 

9.3 

0.42 

0.38 

0.03 

1.35 

0.10 

0.15 

0.00 

0.57 

0.39 

9.4 

0.42 

0.38 

0.03 

1.40 

0.11 

0.15 

0.00 

0.56 

0.40 

9.5 

0.43 

0.37 

0.03 

1.45 

0.11 

0.15 

0.00 

0.55 

0.41 

9.6 

044 

0.36 

0.04 

1.50 

0.11 

0.14 

0.00 

0.54 

0.42 

9.7 

0.44 

0.36 

0.04 

1.54 

0.11 

0.14 

0.00 

0.53 

0.43 

9.8 

0.45 

0.35 

0.04 

1.58 

0.11 

0.14 

0.00 

0.52 

0.45 

9.9 

0.45 

0.35 

0.05 

1.62 

0.12 

0.14 

0.00 

0.51 

0.46 

10.0 

0.46          0.34 

0.05 

1.65 

0.12 

0.14 

0.00 

0.50 

0.47 

257 


TABLES  xxr.-xxr. 


TABLES 
ARGUMENTS 


XXI". 
16. 


XXII". 
17. 


xxm". 

18. 


XXIV. 
19. 


XXV." 
20. 


Days 

.    O 

10 

O 

10 

30 

O 

o 

10 

SO 

o 

10 

0.0 

0.18 

1.15 

0.12 

0.03 

0.05 

0.70 

0.00 

0.09 

0.04 

0.22 

0.04 

0.1 

0.14 

.20 

0.12 

0.03 

0.05 

0.70 

0.00 

0.09 

0.04 

0.22 

0.04 

0.2 

0.11 

.25 

0.12 

0.03 

0.05 

0.70 

0.00 

0.09 

0.04 

0.22 

0.05 

0.3 

0.09 

.30 

0.12 

0.03 

0.05 

0.69 

0.00 

0.09 

0.03 

0.22 

0.05 

0.4 

0.07 

.34 

0.1-2 

0.03 

0.05 

0.69 

0.00 

0.09 

0.03 

0.22 

0.06 

0.5 

0.06 

.39 

0.12 

0.03 

0.06 

0.69 

0.00 

0.10 

0.03 

0.22 

0.06 

0.6 

0.05 

.43 

0.12 

0.02 

0.06 

0.68 

0.00 

0.10 

0.03 

0.22 

0.06 

0.7 

0.04 

.46 

0.12 

0.02 

0.06 

0.67 

0.00 

0.10 

0.03 

0.22 

0.07 

0.8 

0.05 

.49 

0.12 

0.02 

0.06 

0.66 

0.00 

0.10 

0.03 

0.22 

0.07 

0.9 

0.06 

1.51 

0.12 

0.02 

0.06 

0.65 

0.00 

0.10 

0.02 

0.22 

0.08 

1.0 

0.07 

1.53 

0.12 

0.02 

0.06 

0.64 

0.00 

0.10 

0.02 

0.22 

0.08 

1.1 

0.09 

1.54 

0.12 

0.02 

0.06 

0.63 

0.00 

0.10 

0.02 

0.22 

0.09 

1.2 

0.11 

1.55 

0.12 

0.02 

0.06 

0.62 

0.00 

0.10 

0.02 

0.22 

0.09 

1.3 

0.14 

1.56 

0.12 

0.02 

0.07 

0.60 

0.00 

0.10 

0.02 

0.22 

0.10 

1.4 

0.17 

1.55 

0.12 

0.02 

0.07 

0.59 

0.00 

0.10 

0.02 

0.22 

0.10 

.5 

0.21 

1.54 

0.12 

0.02 

0.07 

0.57 

0.00 

0.10 

0.02 

0.22 

0.11 

.6 

0.25 

1.53 

0.11 

0.01 

0.07 

0.55 

0.00 

0.10 

0.01 

0.22 

0.11 

.7 

0.30 

1.51 

0.11 

0.01 

0.07 

0.53 

0.00 

0.10 

0.01 

0.22 

0.12 

.8 

0.35 

1.48 

0.11 

0.01 

0.08 

0.51 

0.00 

0.10 

0.01 

0.21 

0.12 

.9 

0.40 

1.45 

0.11 

0.01 

0.08 

0.49 

0.00 

0.10 

0.01 

0.21 

0.13 

2.0 

0.45 

1.42 

0.11 

0.01 

0.08 

0.47 

0.00 

0.10 

0.01 

0.21 

0.13 

2.1 

0.51 

1.38 

0.11 

0.01 

0.08 

0.45 

0.00 

0.10 

0.01 

0.21 

0.13 

2.2 

0.56 

1.33 

0.11 

0.01 

0.08 

0.43 

0.00 

0.10 

0.01 

0.21 

0.14 

2.3 

0.62 

1.28 

0.11 

0.01 

0.08 

0.40 

0.00 

0.10 

0.01 

0.20 

0.14 

2.4 

068 

1.23 

0.11 

0.01 

0.08 

0.38 

0.00 

0.10 

0.01 

0.20 

0.15 

2.5 

0.74 

1.18 

0.11 

0.01 

0.09 

0.36 

0.00 

0.10 

0.00 

0.20 

0.15 

2.6 

0.81 

1.12 

0.11 

0.00 

0.09 

0.34 

0.00 

0.10 

0.00 

0.20 

0.16 

2.7 

0.87 

1.06 

0.11 

0.00 

0.09 

0.32 

0.00 

0.10 

0.00 

0.19 

0.16 

2.8 

0.93 

1.00 

0.11 

0.00 

0.09 

0.29 

0.00 

0.10 

0.00 

0.19 

0.17 

2.9 

0.98 

0.94 

0.11 

0.00 

0.09 

0.27 

0.00 

0.10 

0.00 

0.18 

0.17 

3.0 

1.03 

0.88 

0.11 

0.00 

0.09 

0.25 

0.00 

0.10 

0.00 

0.18 

0.18 

3.1 

1.08 

0.82 

0.11 

0.00 

0.09 

0.23 

0.00 

0.10 

0.00 

0.17 

0.18 

3.2 

1.13 

0.75 

0.11 

0.00 

0.0'J 

0.21 

0.00 

0.10 

0.00 

0.17 

0.19 

3.3 

1.18 

0.69 

0.11 

0.00 

0.09 

0.19 

0.00 

0.10 

0.00 

0.16 

0.19 

3.4 

1.22 

0.62 

0.11 

0.00 

0.09 

0.17 

0.00 

0.10 

0.00 

0.16 

0.20 

3.5 

1.26 

0.56 

0.11 

0.00 

0.10 

0.15 

0.01 

010 

0.00 

0.15 

0.20 

3.6 

1.29 

0.50 

0.10 

0.00 

0.10 

0.13 

0.01 

0.10 

0.00 

0.15 

0.20 

3.7 

1.32 

0.44 

0.10 

0.00 

0.10 

0.11 

0.01 

0.10 

0.00 

0.14 

0.20 

3.8 

1.35 

0.39 

0.10 

0.00 

0.10 

0.10 

0.01 

0.10 

0.00 

0.14 

0.21 

. 

3.9 

1.37 

0.34 

0.10 

0.00 

0.10 

0.08 

0.01 

0.10 

0.00 

0.13 

0.21 

4.0 

1.39 

0.29 

0.10 

0.00 

0.10 

0.07 

0.01 

0.10 

0.00 

0.13 

0.21 

4.1 

1.40 

0.25 

0.10 

0.00 

0.10 

0.05 

0.01 

0.10 

0.00 

0.13 

0.21 

4.2 

1.40 

0.21 

0.10 

0.00 

0.10 

0.04 

0.01 

0.10 

0.00 

0.12 

0.21 

4.3 

1.41 

0.17 

0.10 

0.00 

0.10 

0.03 

0.01 

0.10 

0.00 

0.12 

0.22 

4.4 

1.41 

o.ia 

0.10 

0.00 

0.10 

0.02 

0.01 

0.10 

0.00 

0.11 

0.22 

4.5 

1.40 

0.10 

0.10 

0.00 

0.10 

0.01 

0.01 

0.10 

0.00 

0.11 

0.22 

4.6 

1.39 

0.08 

0.09 

0.00 

0.11 

0.01 

0.02 

0.10 

0.00 

0.10 

0.22 

4.7 

l.:i7 

0.07 

0.09 

0.00 

0.11 

0.01 

0.02 

0.10 

0.00 

0.10 

0.22 

4.8 

l.:ti 

0.06 

0.09 

0.00 

0.11 

0.00 

0.02 

0.10 

0.00 

0.09 

0.22 

4.9 

1.31 

0.05 

0.09 

0.00 

0.11 

0.00 

0.02 

0.10 

0.00 

0.09 

0.22 

5.0 

1.28 

0.05 

0.09 

0.00 

0.11 

0.00 

0.02 

0.10 

0.00 

0.08 

0.22 

258 


TABLES    XXI". -XXV. 


TABLES     ,        XXI". 
ARGUMENTS        16. 


XXII". 
17. 


XXIII". 
18. 


XXIV". 
19. 


XXV." 
20. 


Days.     O           1O 

o      10     so 

O 

O        1O       20 

0        10 

Days. 

s:a 

1.28 

0.05 

0.09 

0.00 

II 

0.11 

0.00 

0.02 

0.10 

0.00 

0.08 

0.22 

5.1 

1.25 

0.05 

0.09!     0.00 

0.11 

0.00 

0.02 

0.10 

0.00 

0.08 

0.22 

5.2 

1.21 

0.06 

0.09!     0.00 

0.11 

0.00 

0.03 

0.10 

0.00 

0.07 

0.22 

5.3 

1.17 

0.07 

0.09      0.00 

0.11 

0.01 

0.03 

0.09 

0.00 

0.07 

022 

5.4 

1.12 

0.09 

0.09 

0.00 

0.11 

0.01 

0.03 

0.09 

0.00 

0.06 

0.22 

5.5 

1.07 

0.12 

0.08 

0.01 

0.11 

0.01 

0.03 

0.09 

0.00 

0.06 

0.22 

5.6 

1.02 

0.15 

0.08 

0.01 

0.11 

0.02 

0.03 

0.09 

0.00 

0.06 

0.22 

5.7 

0.97 

0.19 

0.08 

0.01 

0.11 

0.03 

0.04 

0.09 

0.00 

0.05 

0.22 

5.8 

0.91 

0.23 

0.08 

0.01 

0.11 

0.04 

0.04 

0.09 

0.00 

0.05 

0.22 

5.9 

0.85 

0.27 

0.08 

0.01 

0.11 

0.06 

0.04 

0.09 

0.00 

0.04 

0.22 

6.0 

0.80 

0.32 

0.08 

0.01 

0.11 

0.07 

0.04 

0.09 

0.00 

0.04 

0.22 

(U 

0.75 

0.37 

0.08 

0.01 

0.11 

0.08 

0.04 

0.09 

0.00 

0.04 

0.22 

6.2 

0.69 

0.42 

0.08 

0.01 

0.11 

0.10 

0.04 

0.09 

0.00 

0.03 

0.22 

c.:$ 

0.63 

0.48 

0.07 

0.01 

0.11 

0.11 

0.04 

0.09 

0.00 

0.03 

0.21 

6,4 

0.58 

0.53 

0.07 

0.01 

0.11 

0.13 

0.04 

0.08 

0.00 

0.02 

0.21 

6.5 

0.53 

0.59 

0.07 

0.01 

0.11 

0.15 

0.05 

0.08 

0.00 

0.02 

0.21 

8.8 

0.48 

0.65 

0.07 

0.02 

0.12 

0.17 

0.05 

0.08 

0.00 

0.02 

0.21 

6.7 

0.44 

0.71 

0.07 

0.02 

0.12 

0.19 

0.05 

0.08 

0.00 

0.02 

0.20 

6.8 

0.40 

0.77 

0.07 

0.02 

0.12 

0.21 

005 

0.08 

0.00 

0.01 

0.20 

6.9 

0.36 

0.84 

0.06 

0.02 

0.12 

0.23 

0.05 

0.08 

0.00 

0.01 

0.19 

7.0 

0.32 

0.90 

0.06 

0.02 

0.12 

0.25 

0.05 

0.08 

0.00 

0.01 

0.19 

7.1 

0.29 

0.96 

0.06 

0.02 

0.12 

0.27 

0.05 

0.08 

0.00 

0.01 

0.19 

7.2 

0.26 

1.01 

0.06 

0.02 

0.12 

0.29 

0.06 

0.08 

0.00 

0.01 

0.18 

7.3 

0.23 

1.Q5 

0.06 

0.02 

0.12 

0.32 

0.06 

0.08 

0.00 

0.00 

0.18 

7.4 

0.21 

1.10 

0.06 

0.02 

0.12 

0.34 

0.06 

0.08 

0,00 

0.00 

0.17 

7.5 

0.20 

1.15 

0.06 

0.02 

0.12 

0.36 

0.06 

0.07 

0.00 

0.00 

0.17 

7.6 

0.19 

1.20 

0.05 

0.03 

0.12 

0.38 

0.06 

0.07 

0.00 

0.00 

0.16 

7.7 

0.19 

1.24 

0.05 

0.03 

0.12 

0.40 

0.06 

0.07 

0.00 

0.00 

0.16 

7.8 

0.19 

1.27 

0.05 

0.03 

0.12 

0.43 

0.07 

0.07 

0.01 

0.00 

0.15 

7.9 

0.20 

1.30 

0.05 

0.03 

0.12 

0.45 

0.07 

0.07 

0.01 

0.00 

0.15 

8.0 

0.21 

1.33 

0.05 

0.03 

0.12 

0.47 

0.07 

0.07 

0.01 

.  0.00 

0.14 

8.1 

0.23 

1.36 

0.05 

o.o;j 

0.12 

0.49 

0.07 

0.07 

0.01 

0.00 

0.14 

8.2 

0.25 

1.38 

0.05 

0.03 

0.12 

0.51 

0.07 

0.07 

0.01 

0.00 

0.13 

8.3 

0.28 

1.39 

005 

0.03 

0.12 

0.53 

0.07 

0.06 

0.01 

0.00 

0.13 

8.4 

0.31 

1.40 

0.05 

0.03 

0.12 

'0.55 

0.07 

0.06 

0.01 

0.00 

0.12 

8.5 

0.34 

1.40 

0.05 

0.03 

0.12 

0.57 

0.07 

006 

0.01 

0.00 

0.12 

8.6 

0.38 

1.41 

0.04 

0.04 

0.12 

0.59 

0.08 

0.06 

0.01 

0.00 

0.12 

8.7 

0.42 

1.41 

0.04 

0.04 

0.12 

0.60 

0.08 

0.06 

0.01 

0.00 

0.11 

8.8 

0.47 

1.40 

0.04 

0.04 

0.11 

0.62 

0.08 

0.05 

0.02 

0.01 

0.11 

8.9 

0.52 

1.38 

0.04 

0.04 

0.11 

0.63 

0.08 

0.05 

0.02 

0.01 

0.10 

9.0 

0.57 

1.36 

0.04 

0.04 

0.11 

0.64 

0.08 

0.05 

0.02 

0.01 

0.10 

9.1 

0.62 

1.33 

0.04 

0.04 

0.11 

0.65 

0.08 

0.05 

0.02 

0.01 

0.09 

9.2 

0.68 

1.30 

0.04 

0.04 

0.11 

0.66 

0.08 

0.05 

0.02 

0.01 

0.09 

9.3 

0.74 

1.27 

0.04 

0.04 

0.11 

0.67 

0.08 

0.05 

0.03 

0.02 

0.08 

9.4 

0.80 

1.23 

0.04 

0.04 

0.11 

0.68 

0.08 

0.05 

0.03 

0.02 

0.08 

9.5 

0.86 

1.19 

0.04 

0.04 

0.11 

0.69 

0.08 

0.04 

0.03 

0.02 

0.07 

9.6 

0.91 

1.15 

0.03 

0.05 

0.11 

0.69 

0.09 

0.0  i 

0.03 

0.02 

0.07 

9.7 

0.97 

1.10 

0.03 

0.05 

0.11 

0.69 

0.09 

0.01 

0.03 

0.03 

0.06 

9.8 

1.03 

1.05 

0.03      0.05 

0.11 

0.70 

0.09 

0.04 

0.04 

0.03 

0.06 

9.9 

1.09 

1.00 

0.03      0.05 

0.11 

0.70 

0.09 

0.04 

0.04 

0.04 

0.05 

10.0 

1.15 

0.95 

0.03      0.05 

0.11 

0.70 

0.09 

0.04 

0.04 

0.04 

0.05 

259 


TABLES  XXVir.-XXXV. 


TABLES 
ARGUMENTS 


XXVII". 
22. 


XXIX". 
24. 


XXX". 
25. 


XXXI". 
26. 


XXXV". 
3O. 


Days 

O 

10 

2O 

30 

O 

10 

0 

0 

O 

1O 

Dnv< 

0.0 

0.14 

0.02 

0.07 

0".12 

d.oo 

0.11 

o".oo 

0.28 

It 

0.11 

II 

0.10 

0.1 

0.14 

0.02 

0.07 

0.12 

0.00 

0.11 

0.00 

0.28 

0.11 

0.10 

0.2 

0.14 

0.02 

0.07 

0.12 

0.00 

0.10 

0.00 

0.28 

•  o.n 

0.10 

0.3 

0.14 

0.03 

0.06 

0.13 

0.00 

0.10 

0.00 

0.28 

0.  2 

0.11 

0.4 

0.14 

0.03 

0.06 

0.13 

0.00 

0.09 

0.00 

0.27 

0.  2 

0.11 

0.5 

0.14 

0.03 

0.06 

0.13 

0.00 

0.09 

0.00 

0.27 

0.  2 

0.11 

0.6 

0.14 

0.03 

0.05 

0.13 

0.00 

0.09 

0.00 

0.26 

0.  2 

0.11 

0.7 

0.14 

0.03 

0.05 

0.13 

0.00 

0.08 

0.00 

0.25 

0.  3 

0.11 

0.8 

0.14 

0.04 

0.05 

0.14 

0.00 

0.08 

0.01 

0.24 

0.  3 

0.12 

0.9 

0.14 

0.04 

0.04 

0.14 

0.00 

0.07 

0.01 

0.23 

0.14 

0.12 

1.0 

0.14 

0.04 

0.04 

0.14 

0.00 

0.07 

0.01 

0.21 

0.14 

0.12 

1.1 

0.14 

0.05 

0.04 

0.14 

0.00 

0.07 

0.01 

0.20 

0.14 

0.12 

1.2 

0.14 

0.05 

0.04 

0.14 

0.00 

0.06 

0.01 

0.19 

0.15 

0.13 

1.3 

0.13 

0.05 

0.03 

0.14 

0.01 

0.06 

0.02 

0.18 

0.15 

0.13 

1.4 

0.13 

0.06 

0.03 

0.14 

0.01 

0.05 

0.02 

0.16 

0.16 

0.14 

1.5 

0.13 

0.06 

0.03 

0.14 

0.01 

0.05 

0.02 

0.14 

0.16 

0.14 

1.6 

0.13 

0.06 

0.03 

0.14 

0.01 

0.05 

0.03 

0.13 

0.16 

0.14 

1.7 

0.13 

0.06 

0.03 

0.14 

0.01 

0.04 

0.03 

0.11 

0.17 

0.15 

1.8 

0.12 

0.07 

0.02 

0.14 

0.02 

0.04 

0.04 

0.10 

0.17 

0.15 

1.9 

0.12 

0.07 

0.02 

0.14 

0.02 

0.03 

0.04 

0.09 

0.18 

0.16 

2.0 

0.12 

0.07 

0.02 

0.14 

0.02 

0.03 

0.05 

0.08 

0.18 

0.16 

2.1 

0.12 

0.07 

0.02 

0.14 

0.02 

0.03 

0.05 

0.06 

0.19 

0.17 

2.2 

0.12 

0.07 

0.02 

0.14 

0.03 

0.02 

0.06 

0.05 

0.19 

0.17 

2.3 

0.11 

0.08 

0.01 

0.14 

0.03 

0.02 

0.06 

0.04 

0.20 

0.18 

2.4 

0.11 

0.08 

0.01 

0.14 

0.03 

0.01 

0.07 

0.03 

0.20 

0.18 

2.5 

0.11 

0.08 

0.01 

0.14 

0.04 

0.01 

0.07 

0.02 

0.21 

0.19 

2.6 

0.11 

0.09 

0.01 

0.14 

0.04 

0.01 

0.08 

0.02 

0.21 

0.19 

2.7 

0.11 

0.09 

0.01 

0.14 

0.05 

0.01 

0.08 

0.01 

0.22 

0.20 

2.8 

0.10 

0.09 

0.00 

0.14 

0.05 

0.00 

0.09 

0.01 

0.22 

0.20 

2.9 

0.10 

0.10 

0.00 

0.14 

0.06 

0.00 

0.09 

0.00 

0.23 

0.21 

3.0 

o.ro 

0.10 

0.00 

0.14 

0.06 

0.00 

0.10 

0.00 

0.23 

0.21 

3.1 

0.10 

0.10 

0.00 

0.14 

0.07 

0.00 

0.10 

0.00 

0.23 

0.21 

3.2 

0.09 

0.10 

0.00 

0.14 

0.07 

0.00 

0.11 

0.01 

0.24 

0.22 

3.3 

0.09 

0.11 

0.00 

0.13 

0.08 

0.00 

0.11 

0.01 

0.24 

0.22 

3.4 

0.09 

0.11 

0.00 

0.13 

0.08 

0.00 

0.12 

0.02 

0.25 

0.23 

3.5 

0.08 

0.11 

0.00 

0.13 

0.09 

0.00 

0.12 

0.02 

0.25 

0.23 

3.6 

0.08 

0.11 

0.00 

0.13 

0.09 

0.00 

0.12 

0.03 

0.25 

0.23 

3.7 

0.08 

0.11 

0.00 

0.13 

0.10 

0.00 

0.13 

0.04 

0.26 

0.24 

3.8 

0.07 

0.12 

0.00 

0.12 

0.10 

0.00 

0.13 

0.05 

0.26 

0.24 

3.9 

0.07 

0.12 

0.00 

0.12 

0.11 

0.00 

0.14 

0.06 

0.27 

0.25 

4.0 

0.07 

0.12 

0.00 

0.12 

0.11 

0.00 

0.14 

0.08 

0.27 

0.25 

4.1 

0.06 

0.12 

0.00 

0.12 

0.12 

0.00 

0.14 

0.09 

0.27 

0.25 

4.2 

0.06 

0.12 

0.00 

0.12 

0.12 

0.00 

0.15 

0.10 

0.27 

0.26 

4.3 

0.06 

0.13 

0.00 

0.11 

0.13 

0.00 

0.15 

0.11 

0.28 

0.26 

4.4 

0.05 

0.13 

0.00 

0.11 

0.13 

0.00 

0.16 

0.13 

0.28 

0.27 

4.5 

0.05 

0.13 

0.00 

0.11 

0.14 

0.00 

0.16 

0.14 

0.28 

0.27 

4.6 

0.05 

0.13 

0.00 

0.11 

0.14 

0.01 

0.16 

0.16 

0.28 

0.27 

4.7 

0.05 

0.18 

0.00 

0.11 

0.15 

0.01 

0.16 

0.17 

0.28 

0.27 

4.8 

0.0  1 

0.14 

0.00 

0.10 

0.15 

0.01 

0.16 

0.19 

0.28 

0.28 

4.9 

0.01 

d.l  I 

0.00 

0.10 

0.16 

0.01 

0.16 

0.20 

0.28 

0.28 

5.0 

0.04 

0.14 

0.00 

0.10 

0.16 

0.01 

0.16 

0.21 

0.28 

0.28 

260 


TABLES  XXVII'.  -  XXXV". 


TABLES  ' 

ARGUMENTS 


XXVII' 
22. 


XXIX". 
24. 


XXX".          XXXI".  XXXV". 

25.  26.  30. 


Days.         O          1O         2O            SO 

0            10 

0 

O 

0         10 

Davs. 

5.0 

0.04 

II 

0.14 

0.00 

0.10 

0.16 

0.01 

0".16 

0.21 

0.28 

0.28 

5.1 

0.04 

0.14 

0.00 

0.10 

0.16 

0.02 

0.16 

0.23 

0.28 

0.28 

5.2 

0.04 

0.14 

0.00 

0.10 

0.17 

0.02 

0.16 

0.24 

0.28 

0.28 

5.3 

0.03 

0.14 

0.01 

0.09 

0.17 

0.02 

0.16 

0.25 

0.27 

0.28 

5.4 

0.03 

0.14 

0.01 

0.09 

0.18 

0.02 

0.16 

0.26 

0.27 

0.28 

5.5 

0.03 

0.14 

0.01 

0.09 

0.18 

0.03 

0.16 

0.27 

0.27 

0.28 

5.6 

0.03 

0.14 

0.01 

0.09 

0.18 

0.03 

0.16 

0.27 

0.27 

0.28 

5.7 

0.03 

0.14 

0.01 

0.08 

0.18 

0.03 

0.15 

0.28 

0.26 

0.28 

5.8 

0.02 

0.14 

0.02 

0.08 

0.19 

0.04 

0.15 

0.28 

0.26 

0.27 

5.9 

0.02 

0.14 

0.02 

0.08 

0.19 

0.04 

0.14 

0.28 

0.25 

0.27 

6.0 

0.02 

0.14 

0.02 

0.07 

0.19 

0.05 

0.14 

0.28 

0.25 

0.27 

6.1 

0.02 

0.14 

0.02 

0.07 

0.19 

0.05 

0.14 

0.28 

0.25 

0.27 

6.2 

0.02 

0.14 

0.02 

0.07 

0.19 

0.06 

0.13 

0.27 

0.24 

0.26 

6.3 

0.01 

0.14 

0.03 

0.06 

0.20 

0.06 

0.13  ' 

0.26 

0.24 

0.26 

6.4 

0.01 

0.14 

0.03 

0.06 

0.20 

0.07 

0.12 

0.25 

0.23 

0.25 

6.5 

0.01 

0.14 

0.03 

0.06 

0.20 

0.07 

0.12 

0.25 

0.23 

0.25 

6.6 

0.01 

0.14 

0.03 

0.06 

0.20 

0.07 

0.12 

0.24 

0.23 

0.25 

6.7 

0.01 

0.14 

0.03 

0.05 

0.20 

0.08 

0.11 

0.23 

0.22 

0.24 

6.8 

0.00 

0.14 

0.04 

0.05 

0.20 

0.08' 

0.11 

0.22 

0.22 

0.24 

6.9 

0.00 

0.14 

0.04 

0.05 

0.20 

0.09 

0.10 

0.21 

0.21 

0.23 

7.0 

0.00 

0.14 

0.04 

0.04 

0.20 

0.10 

0.10 

0.19 

0.21 

0.23 

7.1 

0.00 

0.14 

0.04 

0.04 

0.20 

0.10 

0.09 

0.18 

0.21 

0.23 

7.2 

0.00 

0.14 

0.05 

0.04 

0.20 

0.11 

0.09 

0.16 

0.20 

0.22 

7.3 

0.00 

0.13 

0.05 

0.03 

0.20 

0.11 

0.08 

0.14 

0.20 

0.22 

7.4 

0.00 

0.13 

0.05 

0.03 

0.20 

0.12 

0.08 

0.13 

0.19 

0.21 

7.5 

0.00 

0.13 

0.06 

0.03 

0.20 

0.12 

0.07 

0.11 

0.19 

0.21 

7.6 

0.00 

0.13 

0.06 

0.03 

0.20 

0.12 

0.07 

0.10 

0.16 

0.20 

7.7 

0.00 

0.13 

0.06 

0.03 

0.20 

0.13 

0.06 

0.09 

0.18 

0.20 

7.8 

0.00 

0.12 

0.07 

0.02 

0.19 

0.13 

0.06 

0.08 

0.17 

0.19 

7.9 

0.00 

0.12 

0.07 

0.02 

0.19 

0.14 

0.05 

0.06 

0.17 

0.19 

8.0 

0.00 

0.12 

0.07 

0.02 

0.19 

0.15 

0.05 

0.05 

0.16 

0.18 

8.1 

0.00 

0.12 

0.071       0.02 

0.19 

0.15 

0.04 

0.0  1 

0.16 

0.18 

8.2 

0.00 

0.12 

0.07 

0.02 

0.19 

0.16 

0.04 

0.03 

0.15 

0.17 

8.3 

0.00 

0.11 

0.08 

0.01 

0.18 

0.16 

0.03 

0.02 

0.15 

0.17 

8.4 

0.00 

0.11 

0.08 

0.01 

0.18 

0.17 

0.03 

0.02 

0.14 

0.16 

8.5 

0.00 

0.11 

0.08 

0.01 

0.18 

0.17 

0.02 

0.01 

0.14 

0.16 

8.6 

0.00 

0.11 

0.09 

0.01 

0.18 

0.17 

0.02 

0.01 

0.14 

0.16 

8.7 

0.00 

0.11 

0.09 

0.01 

0.17 

0.17 

0.02 

0.00 

0.13 

0.15 

8.8 

0.00 

0.10 

0.09 

0.00 

0.17 

0.18 

0.01 

0.00 

0.13 

0.15 

8.9 

0.00 

0.10 

0.10 

0.00 

0.16 

0.18 

0.01 

0.00 

0.12 

0.14 

9.0 

0.00 

0.10 

0.10 

0.00 

0.16 

0.18 

0.01 

0.01 

0.12 

0.14 

9.1 

0.00 

0.10 

0.10 

0.00 

0.16 

0.18 

0.01 

0.01 

0.12 

0.14 

9.2 

0.00 

0.09 

0.10 

0.00 

0.15 

0.19 

0.01 

0.02 

0.12 

0.13 

9.3 

0.01 

0.09 

0.11 

0.00 

0.15 

0.19 

0.00 

0.02 

0.11 

0.13 

9.4 

0.01 

0.09 

0.11 

0.00 

0.14 

0.19 

0.00 

0.03 

0.11 

0.12 

9.5 

0.01 

0.08 

0.11 

0.00 

0.14 

0.19 

0.00 

0.04 

0.11 

0.12 

9.6 

0.01 

0.08 

0.11 

0.00 

0.13 

0.19 

0.00 

0.05 

0.11 

0.12 

9.7 

0.01 

0.08 

0.11 

0.00 

0.13 

0.20 

0.00 

0.06 

0.11 

0.12 

9.8 

0.02 

0.07 

0.12 

0.00 

0.12 

0.20 

0.00 

0.08 

0.10 

0.11 

9.9 

0.02 

0.07 

0.12 

0.00 

0.12 

0.20 

0.00 

0.09 

0.10 

0.11 

10.0 

0.02 

0.07 

0.12 

0.00 

0.11 

0.20 

0.00 

0.10 

0.10 

0.11 

261 


TABLES  VI.1*- XII.1 


TABLES 
ARGUMENTS 


VI." 
1. 


2. 


VIII.'7- 
3. 


7. 


Days.      O         1O           2O 

O         10        2O         30 

0          10         20 

O 

Days. 

0.0 

0.24 

0.76 

0.46 

0.00 

0.04 

0.05 

0.01 

6.28 

0.08 

0.54 

0.01 

0.1 

0.24 

0.76 

0.45 

0.00 

0.04 

0.05 

0.01 

0.30 

0.07 

0.53 

0.00 

0.2 

0.24 

0.77 

0.45 

0.00 

0.04 

0.05 

0.01 

0.31 

0.06 

0.52 

0.00 

0.3 

0.23 

0.77 

0.45 

0.00 

0.04 

0.05 

0.01 

0.32 

0.06 

0.52 

0.00 

0.4 

0.22 

0.77 

0.45 

0.00 

0.-04 

0.05 

0.01 

0.34 

0.05 

0.51 

0.01 

0.5 

0.22 

0.77 

0.45 

0.00 

0.04 

0.05 

0.01 

0.35 

0.04 

0.50 

0.01 

0.6 

0.21 

0.77 

0.45 

0.00 

0.05 

0.05 

0.00 

0.37 

0.03 

0.49 

0.01 

0.7 

0.21 

0.77 

0.45 

0.00 

0.05 

0.05 

0.00 

0.38 

0.03 

0.48 

0.01 

0.8 

0.20 

0.77 

0.45 

0.00 

0.05 

0.05 

0.00 

0.39 

0.02 

0.47 

0.02 

0.9 

0.19 

0.77 

0.45 

0.00 

0.05 

0.05 

0.00 

0.41 

0.02 

0.46 

0.02 

1.0 

0.19 

0.77 

0.45 

0.00 

0.05 

0.05 

0.00 

0.42 

0.01 

0.45 

0.02 

1.1 

0.18 

0.77 

0.44 

0.00 

0.05 

0.04 

0.00 

0.44 

0.01 

0.44 

0.03 

1.2 

0.18 

0.77 

0.44 

0.00 

0.05 

0.04 

0.00 

045 

0.01 

0.43 

0.03 

1.3 

0.17 

0.77 

0.44 

0.00 

0.05 

0.04 

0.00 

0.46 

0.00 

0.42 

0.04 

1.4 

0.17 

0.77 

0.44 

0.00 

0.05 

0.04 

0.00 

0.47 

0.00 

0.41 

0.04 

1.5 

0.16 

0.77 

0.44 

0.00 

0.05 

0.04 

0.00 

0.49 

0.00 

0.40 

0.05 

1.6 

0.16 

0.76 

0.44 

0.00 

0.05 

0.04 

0.00 

0.50 

0.00 

0.39 

0.06 

1.7 

0.15 

0.76 

0.44 

0.00 

0.05 

0.04 

0.00 

0.51 

0.00 

0.38 

0.06 

1.8 

0.15 

0.76 

0.44 

0.00 

0.05 

0.04 

0.00 

0.52 

0.00 

0.36 

0.07 

1.9 

0.15 

0.76 

0.44 

0.00 

0.05 

0.04 

0.00 

0.53 

0.00 

0.35 

0.07 

2.0 

0.15 

0.75 

0.44 

0.00 

0.05 

0.04 

0.00 

0.54 

0.00 

0.34 

O.OS 

2.1 

0.14 

0.75 

0.43 

0.00 

0.05 

0.01 

0.00 

0.55 

0.00 

0.33 

0.09 

2.2 

0.14 

0.74 

0.43 

0.00 

0.05 

0.04 

0.00 

0.56 

0.00 

0.32 

0.10 

2.3 

0.14 

0.74 

0.43 

0.00 

0.05 

0.04 

0.00 

0.57 

0.01 

0.31 

0.11 

2.4 

0.14 

0.73 

0.43 

0.00 

0.05 

0.04 

0.00 

0.57 

0.01 

0.30 

0.12 

2.5 

0.14 

0.73 

0.43 

0.00 

0.05 

0.04 

0.00 

0.58 

0.01 

0.29 

0.13 

2.6 

0.13 

0.72 

0.42 

0.00 

0.05 

0.03 

0.00 

0.58 

0.02 

0.28 

0.14 

2.7 

0.13 

0.72 

0.42 

0.00 

0.05 

0.03 

0.00 

0.59 

0.03 

0.27 

0.15 

2.8 

0.13 

0.71 

0.42 

0.00 

0.05 

0.03 

0.00 

0.59 

0.03 

0.27 

0.16 

2.9 

0.13 

0.71 

0.42 

0.00 

0.05 

0.03 

0.00 

0.60 

0.04 

0.26 

0.16 

3.0 

0.13 

0.70 

0.42 

0.00 

0.05 

0.03 

0.00 

0.60 

0.05 

0.25 

0.17 

3.1 

0.13 

0.70 

0.41 

0.00 

0.06 

0.03 

0.00 

0.61 

0.06 

0.24 

0.1N 

3.2 

0.13 

0.69 

0.41 

0.01 

0.06 

0.03 

0.00 

0.61 

007 

0.23 

0.19 

3.3 

0.13 

0.69 

0.41 

0.01 

006 

0.03 

0.00 

0.61 

0.08 

0.21 

0.19 

3.4 

0.13 

0.68 

0.41 

0.01 

0.06 

0.03 

0.00 

0.61 

0.09 

0.20 

0.20 

3.5 

0.13 

0.68 

0.41 

• 

0.01 

0.06 

0.03 

0.00 

0.61 

0.10 

0.19 

0.21 

3.6 

0.14 

0.67 

0.40 

0.01 

0.06 

0.03 

0.00 

0.61 

0.11 

0.18 

0.22 

3.7 

0.14 

0.67 

0.40 

0.01 

0.06 

0.03 

0.00 

0.61 

0.12 

0.17 

0.2? 

3.8 

0.14 

0.66 

0.40 

0.01 

O.Ofi 

0.03 

0.00 

0.61 

0.14 

0.17 

0.23 

3.9 

0.14 

0.65 

0.40 

0.01 

0.06 

0.03 

0.00 

0.61 

0.15 

0.16 

0.24 

4.0 

0.15 

0.65 

0.39 

0.01 

0.06 

0.03 

0.00 

0.60 

0.16 

0.15 

0.25 

4.1 

0.15 

0.64 

0.39 

0.01 

0.06 

0.03 

0.00 

0.60 

0.17 

0.14 

0.25 

4.2 

0.16 

0.64 

0.38 

0.01 

0.06 

0.03 

0.00 

0.60 

0.19 

0.13 

0.26 

4.3 

0.16 

0.63 

0.38 

0.01 

O.Ofi 

0.03 

0.00 

0.60 

0.20 

0.12 

0.26 

4.4 

0.17 

0.63 

0.38 

0.01 

0.06 

0.03 

0.00 

0.59 

0.22 

0.11 

0.27 

4.5 

0.18 

0.6-2 

0.38 

0.01 

0.06 

0.03 

0.00 

0.59 

0.23 

0.10 

0.27 

4.6 

0.18 

0.62 

0.37 

0.01 

000 

0.03 

0.00 

0.58 

0.25 

0.09 

0.27 

4.7 

0.19 

0.61 

0.37 

0.01 

0.06 

0.03 

0.00 

0.58 

0.26 

0.08 

0.27 

4.8 

0.20 

0.61 

o.:n 

0.01 

0.06 

0.03 

0.00 

0.57 

0.28 

0.08 

0.28 

4.9 

0.21        O.fiO 

0.87 

0.01 

0.06 

0.03 

0.00 

0.56 

0.29 

0.07 

0.28 

5.0 

0.22,      0.60 

0.36 

0.01 

0.06 

0.03 

0.00 

0.56 

0.31 

.    0.06               0.28 

262 


TABLES  VI.1*- XII.1 


TABLES 
ARGUMENTS 


1. 


vn.IV- 

2. 


XU.'T- 


3. 


Days.       O          1O           2O 

0         10        30         30 

o       10      20 

O 

Davs. 

5.0 

II 

0.22 

0.60 

0.36 

0.01 

6.06 

0.03 

0.00 

0.56 

0.31 

0.06 

0.28 

5.1 

0.22 

0.59 

0.36 

0.01 

0.06 

0.03 

0.00 

0.55 

0.33 

0.05 

0.28 

5.2 

0.23 

0.59 

0.35 

0.01 

0.06 

0.02 

0.01 

0.54 

0.34 

0.05 

0.28 

5.3 

0.24 

0.58 

0.35 

0.01 

0.06 

0.02 

0.01 

0.53 

0.36 

0.04 

0.27 

5.4 

0.25 

0.58 

0.35 

0.01 

0.06 

0.02 

0.01 

0.52 

0.37 

0.04 

0.27 

5.5 

0.26 

0.57 

0.34 

0.02 

0.06 

0.02 

0.01 

0.52 

0.39 

0.03 

0.27 

5.6 

0.28 

0.57 

0.34 

0.02 

0.06 

0.02 

0.01 

0.51 

0.40 

0.03 

0.27 

5.7 

0.29 

0.56 

0.33 

0.02 

0.06 

0.02 

0.01 

0.50 

0.42 

0.03 

0.26 

5.8 

0.30 

0.56 

0.33 

0.02 

0.06 

0.02 

0.01 

0.49 

0.43 

0.02 

0.26 

5.9 

0.31 

0.56 

0.33 

0.02 

0.06 

0.02 

0.01 

0.48 

0.45 

0.02 

0.25 

6.0 

0.33 

0.55 

0.32 

0.02 

0.06 

0.02 

0.01 

0.47 

0.46 

0.02 

0.25 

6.1 

0.34 

0.55 

0.32 

0.02 

0.06 

0.02 

0.01 

0.46 

0.47 

0.02 

0.24 

6.2 

0.36 

0.54 

0.31 

0.02 

0.06 

0.02 

0.01 

0.45 

0.48 

0.02 

0.23 

6.3 

0.37 

0.54 

0.31 

0.02 

0.06 

0.02 

0.01 

0.44 

0.50 

0.01 

0.23 

6.4 

0.38 

0.54 

0.30 

0.02 

0.06 

0.02 

0.01 

0.43 

0.51 

0.01 

0.22 

6.5 

0.40 

0.53 

0.30 

0.02 

0.06 

0.02 

0.01 

0.43 

0.52 

0.01 

0.21 

6.6 

0.41 

0.53 

0.29 

0.02 

0.06 

0.02 

0.01 

0.42 

0.53 

0.01 

0.21 

6.7 

0.43 

0.52 

0.29 

0.02 

0.06 

0.02 

0.01 

0.41 

0.54 

0.01 

0.20 

6.8 

0.44 

0.52 

0.28 

0.02 

0.06 

0.02 

0.01 

0.40 

0.55 

0.02 

0.20 

6.9 

0.45 

0.52 

0.28 

0.02 

0.06 

0.02 

0.01 

0.39 

0.56 

0.02 

0.19 

7.0 

0.46 

0.52 

0.27 

0.02 

0.06 

0.02 

0.01 

0.07 

0.57 

0.02 

0.17 

7.1 

0.48 

0.51 

0.27 

0.02 

0.06 

0.02 

0.01 

0.36 

0.58 

0.02 

0.16 

7.2 

0.49 

0.51 

0.26 

0.02 

0.06 

0.02 

0.01 

0.35 

0.59 

0.03 

0.15 

7.3 

0.50 

0.51 

0.26 

0.02 

0.06 

0.02 

0.02 

0.34 

0.59 

0.03 

0.15 

7.4 

0.51 

0.51 

0.25 

0.02 

0.06 

0.02 

0.02 

0.34 

0.60 

0.04 

0.14 

7.5 

0.53 

0.51 

0.25 

0.03 

0.06 

002 

0.02 

0.33 

0.61 

0.01 

0.13 

7.6 

0.54 

0.50 

0.24 

0.03 

0.06 

0.01 

0.02 

0.32 

O.bl       0.05 

0.12 

7.7 

0.56 

0.50 

0.24 

0.03 

0.06 

0.01 

0.02 

0.31 

0.61       0.06 

0.11 

7.8 

0.57 

0.50 

0.23 

0.03 

0.06 

0.01 

0.02 

0.30 

0.62 

0.06 

0.10 

7.9 

0.58 

0.50 

0.22 

0.03 

0.06 

0.01 

0.02 

0.29 

0.62 

0.07 

0.09 

8.0 

0.59 

0.49 

0.22 

0.03 

0.06 

0.01 

0.02 

0.28 

0.62 

0.08 

0.08 

8.1 

0.61 

0.49 

0.21 

0.03 

0.05 

0.01 

0.02 

0.27 

O.;l.>       0.09 

0.07 

8.2 

0.62 

0.48 

0.21 

0.03 

0.05 

0.01 

0.02 

0.26 

0.62      0.10 

0.07 

8.3 

0.63 

0.48 

0.20 

0.03 

005 

0.01 

0.02 

0.24 

0.62       0.11 

0.06 

8.4 

0.64 

0.48 

0.20 

0.03 

0.05 

0.01 

0.02 

0.23 

0.62       0.12 

0.06 

8.5 

0.65 

0.48 

0.19 

0.03 

0.05 

0.01 

0.02 

0.22 

0.62!      0.13 

0.05 

8.6 

0.66 

0.47 

0.19 

0.04 

0.05 

0.01 

0.02 

0.21 

0.62 

0.14 

0.04 

8.7 

0.67 

0.47 

0.18 

0.04 

0.05 

0.01 

0.02 

0.20 

0.62 

0.16 

0.04 

8.8 

0.68 

0.47 

0.18 

0.04 

0.05 

0.01 

0.02 

0.19 

0.61 

0.17 

0.03 

8.9 

0.69 

0.47 

0.17 

0.04 

0.05 

0.01 

0.02 

0.18 

0.61 

0.19 

0.03 

9.0 

0.70 

0.47 

0.17 

0.04 

0.05 

0.01 

0.02 

0.17 

0.61 

0.20 

0.02 

9.1 

0.70 

0.47 

0.17 

0.04 

0.05 

0.01 

0.02 

0.16 

0.60 

0.21 

0.02 

9.2 

0.71 

0.47 

0.16 

0.04 

0.05 

0.01 

0.02 

0.15 

0.59 

0.23 

0.02 

9.3 

0.72 

0.47 

0.16 

0.04 

0.05 

0.01 

0.03 

0.14 

0.59 

0.24 

0.01 

9.4 

0.73 

0.47 

0.15 

0.04 

0.05 

0.01 

0.03 

0.13 

0.58 

0.26 

0.01 

9.5 

0.73 

0.47 

0.15 

0.04 

0.05 

0.01 

0.03 

0.12 

0.57 

0.27 

0.01 

9.6 

0.74 

0.46 

0.15 

0.04 

0.05 

0.01 

0.03 

0.11 

0.56 

0.29 

0.01 

9.7 

0.74 

0.46 

0.15 

0.04 

0.05 

0.01 

0.03 

0.10 

0.56 

0.31 

0.00 

9.8 

0.75 

0.46 

0.14 

0.04 

0.05 

0.01 

0.03 

0.10 

0.55 

0.32 

0.00 

9.9 

0.75 

0.46 

0.14 

0.04 

0.05 

0.01 

0.03 

0.09 

0.55 

0.34 

0.00 

10.0 

0.76 

0.46 

0.14 

0.04 

0.05 

0.01 

0.03 

0.08 

0.54 

0.35 

0.01 

263 


TABLES   XIII. 


TABLES          XIII.IT-               XVIII.IT-            XXI.IT-                               XIII.IV-                  XVIII.IV         XXI.lr- 
ARGUMENTS       8.                     13.                  16.                                   §.                        13.               16. 

Days.     O             1O 

O 

0           10 

Days.     O           1O 

0 

0         10 

M.ii- 
0^ 

0.00 

0.03 

0.00 

0.06 

0.02 

Eon 

5.0 

0.03      0.00 

6.04 

o'.oo 

0.06 

0.1 

0.00 

0.03 

0.00 

0.06 

0.01 

5.1 

0.03  j     0.00 

0.04 

0.00 

0.06 

0.2 

0.00 

0.03 

0.00 

0.06 

0.01 

5.2 

0.03J     0.00 

0.04 

0.01 

0.06 

0.3 

0.00 

0.03 

0.00 

0.06 

0.01 

5.3 

0.03 

0.00 

0.04 

0.01 

0.06 

0.4 

0.00 

0.03 

0.00 

0.06 

0.00 

5.4 

0.03 

0.00 

0.04 

0.02 

0.06 

0.5 

0.00 

0.03 

0.00 

0.06 

0.00 

5.5 

0.03 

0.00 

0.04 

0.02 

0.06 

0.6 

0.00 

0.03 

0.00 

0.06 

0.00 

5.6 

0.03 

0.00 

0.04 

0.02 

0.06 

0.7 

0.00 

0.03 

0.00 

0.06 

0.00 

5.7 

0.031     0.00 

0.04 

0.02 

0.05 

0.8 

0.00 

0.03 

0.00 

0.06 

0.00 

5.8 

0.03 

0.00 

0.04 

0.03 

0.05 

0.9 

0.00 

0.03 

0.00 

0.06 

0.00 

5.9 

0.03 

0.00 

0.04 

0.03 

0.05 

1.0 

0.00 

0.03 

0.00 

0.06 

0.00 

6.0 

0.03 

0.00 

0.04 

0.03 

0.04 

1.1 

0.00 

0.03 

0.00 

0.06 

0.00 

61 

0.03 

0.00 

0.04 

0.03 

0.04 

1.2 

0.00 

0.03 

0.00 

0.06 

0.00 

6.2 

0.03 

0.00 

0.04 

0.03 

0.0  t 

1.3 

0.00 

0.03 

0.00 

0.06 

0.00 

&3 

0.04 

0.00 

0.04 

0.04 

0.03 

1.4 

0.00 

0.02 

0.00 

0.05 

0.00 

6.4 

0.04 

0.00 

0.04 

0.04 

0.03 

1.5 

0.00 

0.02 

0.00 

0.05 

0.00 

6.5 

0.04 

0.00 

0.04 

0.04 

0.03 

1.6 

0.00 

0.02 

0.00 

0.05 

0.00 

6.6 

0.04 

0.00 

0.04 

0.04 

0.03 

1.7 

0.00 

0.02 

0.00 

0.05 

0.00 

6.7 

0.04 

0.00 

0.04 

0.05 

0.02 

1.8 

0.00 

0.02 

0.00 

0.04 

0.00 

6.8 

0.04 

000 

0.04 

0.05 

0.02 

1.9 

0.00 

0.02 

0.00 

0.04 

0.00 

6.9 

0.04 

0.00 

0.04 

0.05 

0.02 

2.0 

0.00 

0.02 

0.00 

0.04 

0.00 

7.0 

0.04 

0.00 

0.04 

0.06 

0.01 

2.1 

0.01 

0.02 

0.00 

0.04 

0.00 

7.1 

0.04 

0.01 

0.04 

O.Ofi 

0.01 

2.2 

0.01 

0.02 

0.00 

0.04 

0.01 

7.2 

0.04 

0.01 

0.04 

0.06 

0.01 

2.3 

0.01 

0.02 

0.01 

0.03 

0.01 

7.3 

0.04 

0.01 

0.03 

0.06 

0.01 

2.4 

0.01 

0.02 

0.01 

0.03 

0.01 

7.4 

0.04 

0.01 

0.03 

0.06 

0.00 

2.5 

0.01 

0.02 

0.01 

0.03 

0.02 

7.5 

0.04 

0.01 

0.03 

O.Ofi 

0.00 

2.6 

001 

0.02 

0.01 

0.03 

0.02 

7.6 

0.04 

0.01 

0.03 

0.06 

0.00 

2.7 

001|      0.02 

0.01 

0.02 

0.02 

7.7 

0.04 

0.01 

0.03 

0.06 

0.00 

2.8 

0.01       0.01 

0.01 

0.02 

0.03 

7.8 

0.04 

0.01 

0.03 

0.06 

0.00 

2.9 

0.01 

0.01 

0.01 

0.01 

0.03 

7.9 

0.04 

0.01 

0.03 

0.06 

0.00 

3.0 

0.01 

0.01 

0.01 

0.01 

0.03 

8.0 

0.04 

0.01 

0.03 

0.06 

0.00 

3.1 

0.02       0.01 

0.01 

0.01 

0.03 

8.1 

0.04 

0.01 

0.03 

0.06 

0.00 

3.2 

0.02i      0.01 

0.01 

0.01 

0.03 

8.2 

0.01 

0.01 

0.03 

O.Ofi 

0.00 

3.3 

0.02       0.01 

0.02 

0.00 

0.04 

8.3 

0.04 

0.01 

0.02 

O.Ofi 

0.00 

3.4 

0.02 

0.01 

0.02 

0.00 

0.04 

8.4 

0.04 

0.01 

0.02 

O.Ofi 

0.00 

3.5 

0.02 

0.01 

0.02 

0.00 

0.04 

8.5 

0.04 

0.01 

002 

0.06 

0.00 

3.6 

0.02       0.01 

0.02 

0.00 

0.04 

8.6 

0.04 

0.02 

0.02 

0.06 

0.00 

3.7 

0.02       0.01 

0.02 

0.00 

0.05 

8.7 

0.04 

0.02 

0.02 

0.06 

0.00 

3.8 

0.02       0.01 

0.03 

0.00 

0.05 

8.8 

0.04 

0.02 

0.01 

0.05 

0.00 

3.9 

0.02 

0.01 

0.03 

0.00 

0.05 

8.9 

0.04 

0.02 

0.01 

0.05 

0.00 

4.0 

0.02 

0.01 

0.03 

0.00 

0.06 

9.0 

0.01 

0.02 

0.01 

0.05 

0.00 

4.1 

0.02       0.01 

0.03 

0.00 

0.06 

9.1 

0.04 

0.02 

0.01 

0.04 

0.00 

4.2 

0.02       0.01 

0.03 

0.00 

0.06 

9.2 

0.01 

0.02 

0.01 

0.04 

0.00 

1.3 

0.02       0.00 

0.03 

0.00 

0.06 

9.3 

0.01 

0.02 

0.01 

0.01 

0.01 

4.4 

0.02       0.00 

0.03 

0.00 

0.06 

9.4 

0.01 

0.02 

0.01 

0.03 

0.01 

4.5 

0.02       0  00 

0.03 

0.00 

0.06 

9.5 

0.04 

0.02 

0.01 

0.031 

0.0  1 

4.6 

0.02       0.00 

0.03 

0.00 

0.06 

9.6 

0.01 

0.02 

0.01 

0.03 

0.02 

1.7 

0.02       0.00 

0.08 

0.00 

0.06 

9.7 

0.04 

0.02 

0.01 

0.03 

002 

u 

0.03       0.00 

0.04 

0.00 

0.06 

9.8 

0.03 

0.02 

0.00 

002 

0.02 

4.9 

0.03       0.00 

(1.0  I 

0.00 

0.06 

9.9 

0.03 

0.02 

0.00 

0.02 

0.03 

5.0 

0.03       0.00 

0.01 

0.00 

0.06 

10.0 

0.03 

0.02 

0.00 

0.02 

0.03 

264 


LATITUDE  TABLES,  LXXXIII.  -  CIX. 


ARGUMENTS,   PERIODS,   AMD   EQUATIONS. 


TABLE. 

ARGUMENT. 

PERIOD. 

EQUATION. 

LXXXIII. 

12' 

173.31006 

846.0  -j-527.5    sin  (2t  —  2y). 

LXXXIV. 

73" 

1095.1653 

25.7  —  25.7    sin  (2y  —  2x). 

LXXXV. 

53 

117.5394 

22.1  —  22.1    sin  (2y  —  2t  -f  z). 

LXXXVI. 

1 

27.5546 

1.3  —     1.3    sin  x. 

LXXXVII. 

70 

329.7906 

10.3  -f  10.3    sin  (2y  —  2t  —  s). 

LXXXVIII. 

4 

365.2597 

88.9  +  48.9    sin  z. 

LXXX1X. 

4 

365.2597 

6.63—     1.3    cos  z. 

XC. 

5' 

205.8926 

4.7  -f    4.7    sin  2  (*  —  t) 

XCI. 
XCII. 

5 

78 

411.7852 
188.2015 

1.0  —     1.0    sin  (x  —  t). 
15.8  +  15.8    sin  (x  +  y  —  2t). 

XCIII. 

73 

2190.3306 

22.2  -f  14.4    sin  (y  —  x). 

XCIV. 

12"' 

346.6021 

0.6  —    0.6    sin  (y  —  t). 

xcv. 

79 

438.3608 

0.2  —    0.2    sin  (x  —  y  -f  z). 

XCVI. 

80 

313.0547 

0.1  —    0.1    sin  (y  +  z  —  *). 

XCVII. 

81 

124.2046 

0.7  +    0.7    sin  (y  -j-  z  +  x  —  2t). 

XCVIII. 

82 

14.8655 

1.8  -f     1.8    sin  (2t  —  y  +  x). 

XCIX. 

83 

39.2116 

0.7  -j-     0.7    sin  (2t  —  y  —  2z). 

c. 

84 

19.1434 

0.6  —    0.6    sin  (2t  -\-  y). 

CI. 

48 

29.9342 

0.5  —    0.5    sin  (x  +  t  —  y). 

CII. 

85 

23.5193 

0.4  +    0.4    sin  (3y  —  2t). 

cm. 

86 

38.2830 

0.3  +    0.3    sin  (4*  —  y  —  2x). 

CIV. 

87 

14.2082 

0.2  —     0.2    sin  (2t  +  y  -f  x). 

cv. 

88 

14.6664 

0.2  +    0.2    sin  (2t  -f  y  —  *). 

CVI. 

89 

19.3122 

0.2  -(-    0.2    sin  (2t  —  y  +  2x). 

CVII. 

90 

32.2808 

0.2  —    0.2    sin  (2t  —  y). 

CVIII. 

77 

6.2  —    6.18  sin  3y. 

CIX. 

9.1  +    2.17  cos  «i  —  8".80  sin  «. 

265 


TABLE  LXXXIII.    ARGUMENT   12. 


Equation  =  846".0  -f-  527".5  sin.  (2t  —  2y). 


Days 

< 

i 

14 

> 

34 

> 

m 

1             1 

lays. 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Dtft. 

(i. 

0.0 

322.38 

0.23 

333.78 

0.46 

411.77 

1.09 

546.22 

1.58 

d. 

10.0 

0.1 

322.15 

0.22 

334.24 

0.47 

412.86 

1.09 

547.80 

1.58 

9.9 

0.2 

321.93 

0.21 

334.71 

0.47 

413.95 

1.10 

549.38 

1.58 

9.8 

0.3 

321.72 

0.21 

335.18 

0.48 

415.05 

1.11 

550.96 

1.59 

9.7 

0.4 

321.51 

0.20 

335.66 

0.49 

416.16 

1.11 

552.55 

1.59 

9.6 

0.5 

321.31 

0.19 

336.15 

0.49 

417.27 

1.12 

554.14 

1.59 

9.5 

0.6 

321.12 

0.19 

336.64 

0.50 

418.39 

1.12 

555.73 

1.60 

9.4 

0.7 

320.93 

0.18 

337.14 

0.51 

419.51 

1.13 

557.33 

1.60 

9.3 

0.8 

320.75 

0.17 

337.65 

0.51 

420.64 

1.13 

558.93 

1.61 

9.2 

0.9 

320.58 

0.17 

338.16 

0.52 

421.77 

1.14 

56054 

1.61 

9.1 

.0 

320.41 

0.16 

338.68 

0.53 

422.91 

1.14 

562.15 

1.61 

9.0 

.1 

320.25 

0.15 

339.21 

0.53 

424.05 

1.15 

563.76 

1.62 

8.9 

.2 

320.10 

0.15 

339.74 

0.54 

425.20 

1.16 

565.38 

1.62 

8.8 

.3 

319.95 

0.14 

340.28 

0.55 

426.36 

1.16 

567.00 

1.62 

8.7 

.4 

319.81 

0.13 

340.83 

0.55 

427.52 

1.17 

568.62 

1.63 

8.6 

.5 

319.68 

0.12 

341.38 

0.56 

428.69 

1.17 

570.25 

1.63 

8.5 

.6 

319.56 

0.12 

341.94 

0.57 

429.86 

1.18 

571.88 

1.61 

.   8.4 

.7 

319.44 

0.11 

342.51 

0.58 

431.04 

1.18 

573.52 

1.64 

8.3 

.8 

319.33 

0.10 

343.09 

0.58 

432.22 

1.19 

575.16 

1.64 

8.2 

.9 

319.23 

0.10 

343.67 

0.59 

433.41 

1.20 

576.80 

1.65 

8.1 

2.0 

319.13 

0.09 

344.26 

0.59 

434.61 

1.20 

578.45 

1.65 

8.0 

2.1 

319.04 

0.08 

344.85 

0.60 

435.81 

1.20 

580.10 

1.65 

7.9 

2.2 

318.96 

0.08 

345.45 

0.61 

437.01 

1.21 

581.75 

1.66 

7.8 

2.3 

318.88 

0.07 

346.06 

0.61 

438.22 

1.22 

583.41 

1.66 

7.7 

2.4 

318.81 

0.06 

346.67 

0.62 

439.44 

1.22 

585.07 

1.66 

7.6 

2.5 

318.75 

0.06 

347.29 

0.63 

440.66 

1.23 

586.73 

1.67 

7.5 

2.6 

318.69 

0.05 

347.92 

0.63 

441.89 

1.23 

588.40 

1.67 

7.4 

2.7 

318.64 

0.04 

348.55 

0.64 

443.12 

1.24 

590.07 

1.68 

7.3 

2.8 

318.60 

0.03 

349.19 

0.65 

444.36 

1.24 

591.75 

1.68 

7.2 

2.9 

318.57 

0.03 

349.84 

0.65 

445.60 

1.25 

593.43 

1.68 

7.1 

3.0 

318.54 

0.02 

350.49 

0.66 

446.85 

1.25 

595.11 

1.68 

7.0 

3.1 

318.52 

0.01 

351.15 

0.67 

448.10 

1.26 

596.79 

1.69 

6.9 

3.2 

318.51 

0.01 

351.82 

0.67 

449.36 

1.26 

598.48 

1.69 

6.8 

3.3 

318.50 

0.00 

352.49 

0.68 

450.62 

1.27 

600.17 

1.69 

6.7 

3.4 

318.50 

0.01 

353.17 

0.68 

451.89 

1.27 

601.86 

1.70 

6.6 

3.5 

318.51 

0.01 

353.85 

0.69 

453.16 

1.28 

603.56 

1.70 

6.5 

3.6 

318.52 

0.02 

354.54 

0.70 

454.44 

1.29 

605.26 

1.70 

6.4 

3.7 

318.54 

0.03 

355.24 

0.70 

455.73 

1.29 

606.96 

1.71 

6.3 

3.8 

318.57 

0.04 

355.94 

0.71 

457.02 

1.30 

608.67 

1.71 

6.2 

3.9 

318.61 

0.04 

356.65 

0.72 

458.32 

1.30 

610.38 

1.71 

6.1 

4.0 

318.65 

0.05 

357.37 

0.72 

459.62 

1.31 

612.09 

1.72 

6.0 

4.1 

318.70 

0.06 

358.09 

0.73 

460.93 

1.31 

613.81 

1.72 

5.9 

4.2 

318.76 

0.06 

358.82 

0.74 

462.24 

1.32 

615.5* 

1.72 

5.8 

4.3 

318.82 

0.07 

359.56 

0.74 

463.56 

.32 

617.25 

1.72 

5.7 

4.4 

318.89 

0.08 

360.30 

0.75 

464.88 

.32 

618.97 

1.73 

5.6 

4.5 

31897 

0.08 

361.05 

0.76 

466.20 

.33 

620.70 

1.73 

5.5 

4.6 

319.05 

0.09 

361.81 

0.76 

467.53 

.88 

622.43 

1.73 

5.4 

4.7 

319.14 

0.10 

362.57 

0.77 

468.86 

.:il 

624.16 

1.74 

5.3 

4.8 

319.24 

0.10 

363.34 

0.78 

470.20 

M 

625.90 

1.74 

5.2 

4.9 

319.34 

0.11 

364.12 

0.78 

471.54 

.35 

627.64 

1.74 

5.1 

5.0 

819.46 

0.12 

364.90 

0.79 

472.89 

.35 

629.38 

1.74 

5.0 

I):iys 

ir 

0 

11 

• 

16 

M> 

14 

0                ] 

3ays. 

NOTE.  —  Arg.  12'  =  Arg.  12. 


TABLE  LXXXIII.    ARGUMENT   12. 


Equation  =  846".0  -f-  527".5  sin.  (2t  —  2y). 


Days.                    O 

1O 

30 

3O                 Days. 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff 

Days. 

d. 

y 

a 

• 

it 

il 

5.0 

319.45 

0.12 

364.90 

0.79 

472.89 

1.35 

629.38 

1.74 

5.0 

5.1 

319.57 

0.13 

365.69 

0.79 

474.24 

1.36 

631.12 

1.75 

4.9 

5.2 

319.70 

0.13 

366.48 

0.80 

475.60 

1.36 

632.87 

1.75 

4.8 

5.3 

319.83 

0.14 

367.28 

0.80 

476.96 

1.37 

634.62 

1.75 

4.7 

5.4 

319.97 

0.15 

368.08 

0.81 

478.33 

1.37 

636.37 

1.76 

4.6 

5.5 

320.12 

0.15 

368.89 

0.82 

479.70 

1.38 

638.13 

1.76 

4.5 

5.6 

320.27 

0.16 

369.71 

0.82 

481.08 

1.38 

639.89 

1.76 

4.4 

5.7 

320.43 

0.17 

370.53 

0.83 

482.46 

1.39 

641.65 

1.77 

4.3 

5.8 

320.60 

0.17 

371.36 

0.83 

483.85 

1.40 

643.42 

1.77 

4.2 

5.9 

320.77 

0.18 

372.19 

0.84 

485.25 

1.40 

645.19 

1.77 

4.1 

6.0 

320.95 

0.19 

373.03 

0.85 

486.65 

1.40 

646.96 

1.77 

4.0 

6.1 

321.14 

0.19 

373.88 

0.86 

488.05 

1.41 

648.73 

1.78 

3.9 

6.2 

321.33 

0.20 

374.74 

0.87 

489.46 

1.41 

650.51 

1.78 

3.8 

6.3 

321.53 

0.21 

375.61 

0.87 

490.87 

1.42 

652.29 

1.78 

3.7 

6.4 

321.74 

0.22 

376.48 

0.88 

492.29 

1.42 

654.07 

1.78 

3.6 

6.5 

321.96 

0.22 

377.36 

0.88 

493.71 

1.43 

655.85 

1.79 

3.5 

6.6 

322.18 

0.23 

378.24 

0.89 

495.14 

1.43 

657.64 

1.79 

3.4 

6.7 

322.41 

0.24 

379.13 

0.89 

496.57 

1.43 

659.43 

1.79 

3.3 

6.8 

322.65 

0.24 

380.02 

0.90 

498.00 

1.44 

661.22 

1.79 

3.2 

6.9 

322.89 

0.25 

380.92 

0.91 

499.44 

1.44 

663.01 

1.79 

3.1 

7.0 

323.14 

0.26 

381.83 

0.91 

500.88 

1.45 

664.80 

1.80 

3.0 

7.1 

323.40 

0.26 

382.74 

0.92 

502.33 

1.45 

666.60 

1.80 

2.9 

7.2 

323.66 

0.27 

383.66 

0.92 

503.78 

1.46 

668.40 

1.80 

2.8 

7.3 

323.93 

0.28 

384.58 

0.93 

505.24 

1.46 

670.20 

1.80 

2.7 

7.4 

32421 

0.28 

385.51 

0.94 

506.70 

1.47 

672.00 

1.81 

2.6 

7.5 

324.49 

0.29 

386.45 

0.94 

508.17 

1.47 

673.81 

1.81 

2.5 

7.6 

324.78 

0.30 

387.39 

0.95 

509.64 

1.47 

675.62 

1.81 

2.4 

7.7 

325.08 

0.30 

388.34 

0.95 

511.11 

1.48 

677.43 

1.81 

2.3 

7.8 

325.38 

0.31 

389.29 

0.96 

512.59 

1.48 

679.24 

1.81 

2.2 

7.9 

325.69 

0.31 

390.25 

0.97 

514.07 

1.49 

681.05 

1.82 

2.1 

8.0 

326.00 

0.32 

391.22 

0.97 

515.56 

1.49 

682.87 

1.82 

2.0 

8.1 

326.32 

0.33 

392.19 

0.98 

517.05 

1.50 

684.69 

1.82 

1.9 

8.2 

326.65 

0.34 

393.17 

0.98 

518.55 

1.50 

686.51 

1.82 

1.8 

8.3 

326.99 

0.34 

394.15 

0.99 

520.05 

1.51 

688.33 

1.83 

1.7 

8.4 

327.33 

0.35 

395.14 

1.00 

521.56 

1.51 

690.16 

1.83 

1.6 

8.5 

327.68 

0.36 

396.14 

1.00 

523.07 

1.51 

691.99 

1.83 

1.5 

8.6 

328.04 

0.37 

397.14 

1.01 

524.58 

1.52 

693.82 

1.83 

1.4 

8.7 

328.41 

0.37 

398.15 

1.01 

526.10 

1.52 

695.65 

1.83 

1.3 

8.8 

328.78 

0.38 

399.16 

1.02 

527.62 

1.53 

697.48 

1.84 

1.2 

8.9 

329.16 

0.39 

400.18 

1.02 

529.15 

1.53 

699.32 

1.84 

1.1 

9.0 

329.55 

0.39 

401.20 

1.03 

530.68 

1.54 

701.16 

1.84 

1.0 

9.1 

329.94 

0.40 

402.23 

1.04 

532.22 

1.54 

70300 

1.84 

0.9 

9.2 

330.34 

0.41 

403.27 

1.04 

533.76 

1.54 

704.84 

1.84 

0.8 

9.3 

330.75 

0.41 

404.31 

1.05 

535.30 

1.55 

706.68 

1.85 

0.7 

9.4 

331.16 

0.42 

405.36 

105 

536.85 

1.55 

708.53 

1.85 

0.6 

9.5 

331.58 

0.43 

406.41 

1.06 

538.40 

1.56 

710.38 

1.85 

0.5 

9.6 

332.01 

0.43 

407.47 

1.07 

539.96 

1.56 

712.23 

1.85 

0.4 

9.7 

332.44 

0.44 

408.54 

1.07 

541.52 

1.56 

714.08 

1.85 

0.3 

9.8 

332.88 

0.45 

409.61 

1.08 

543.08 

1.57 

715.93 

1.85 

0.2 

9.9 

333.33 

0.45 

410.69 

1.08 

544.65 

1.57 

717.78 

1.85 

0.1 

10.0 

333.78 

0.46 

411.77 

1.09 

546.22 

1.58 

719.63 

1.86 

0.0 

Days.               17O 

160 

130 

14O              Days. 

NOTB.  —  Arg.  12'  =  Arg.  12. 
267 


TABLE  LXXXIII.    ARGUMENT  12'. 


Equation  =  846".0  +  527".5  sin.  (2t  —  2y). 


Days. 

4 

f> 

r,< 

> 

<>< 

» 

741 

1 

8 

O 

Days. 

Day.. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

,  Equation. 

Diff. 

Equation. 

Diff. 

Days. 

d. 

0.0 

719.63 

1.86 

909.49 

1.90 

1091.07 

1.69 

1240.80 

1.27 

1339.22 

0.68 

d. 

10.0 

0.1 

721.49 

1.86 

911.39 

1.90 

1092.76 

1.69 

1242.07 

1.26 

1339.90 

0.67 

9.9 

0.2 

723.35 

1.86 

913.29 

1.90 

1094.45 

1.69 

1243.33 

1.25 

1340.57 

0.66 

9.8 

0.3 

725.21 

1.86 

915.19 

1.89 

1096.14 

1.68 

1244.58 

1.25 

1341.23 

0.66 

9.7 

0.4 

727.07 

1.86 

917.08 

1.89 

1097.82 

1.68 

1245.83 

1.24 

1341.89 

0.65 

9.6 

0.5 

728.93 

1.87 

918.97 

1.89 

1099.50 

1.68 

1247.07 

1.24 

1342.54 

0.64 

9.5 

0.6 

730.80 

1.87 

920.86 

.89 

1101.18 

1.67 

1248.31 

1.23 

1343.18 

0.63 

9.4 

0.7 

732.67 

1.87 

922.75 

.89 

1102.85 

1.67 

1249.54 

1.23 

1343.81 

0.63 

9.3 

0.8 

734.54 

1.87 

924.64 

.89 

1104.52 

1.66 

1250.77 

1.23 

1344.44 

0.62 

9.2 

0.9 

736.41 

1.87 

926.53 

.89 

1106.18 

1.66 

1252.00 

1.22 

1345.06 

0.61 

9.1 

.0 

738.28 

1.87 

928.42 

.89 

1107.84 

1.66 

1253.22 

1.21 

1345.67 

0.61 

9.0 

.1 

740.15 

1.88 

930.31 

.89 

1109.50 

1.66 

1254.43 

1.21 

1346.28 

0.60 

8.9 

.2 

742.03 

1.88 

932.20 

.89 

1111.16 

1.65 

1255.64 

1.20 

1346.88 

0.60 

8.8 

.3 

743.91 

1.88 

934.09 

1.88 

1112.81 

1.65 

1256.84 

1.20 

1347.48 

0.59 

8.7 

.4 

745.79 

1.88 

935.97 

1.88 

1114.46 

1.64* 

1258.04 

1.19 

1348.07 

0.58 

8.6 

.5 

747.67 

1.88 

937.85 

1.88 

1116.10 

1.64 

1259.23 

1.19 

1348.65 

0.58 

8.5 

.6 

749.55 

1.88 

939.73 

1.88 

1117.74 

1.64 

1260.42 

1.18 

1349.23 

0.57 

8.4 

.7 

751.43 

1.88 

941.61 

1.88 

1119.38 

1.63 

1261.60 

1.17 

1349.80 

0.56 

8.3 

.8 

753.31 

1.88 

943.49 

1.88 

1121.01 

1.63 

1262.77 

1.17 

1350.36 

0.55 

8.2 

.9 

755.19 

1.88 

945.37 

1.88 

1122.64 

1.63 

1263.94 

1.16 

1350.91 

0.55 

8.1 

2.0 

757.07 

1.89 

947.25 

1.88 

1124.27 

1.62 

1265.10 

1.16 

1351.46 

0.54 

8.0 

2.1 

758.96 

1.89 

949.13 

1.87 

1125.89 

1.62 

1266.26 

1.15 

1352.00 

0.54 

7.9 

2.2 

760.85 

1.89 

951.00 

1.87 

1127.51 

1.62 

1267.41 

1.15 

1352.54 

0.53 

7.8 

2.3 

762.74 

1.89 

952.87 

1.87 

1129.13 

1.61 

1268.56 

1.14 

1353.07 

0.52 

7.7 

2.4 

764.63 

1.89 

954.74 

1.87 

1130.74 

1.61 

1269.70 

1.14 

1353.59 

0.52 

7.6 

2.5 

766.52 

1.89 

956.61 

1.87 

1132.35 

1.60 

1270.84 

1.13 

1354.11 

0.51 

7.5 

2.6 

768.41 

1.89 

958.48 

1.87 

1133.95 

1.60 

1271.97 

1.18 

1354.62 

0.51 

7.4 

2.7 

770.30 

1.89 

960.35 

1.87 

1135.55 

1.60 

1273.10 

1.12 

1355.13 

0.50 

7.3 

2.8 

772.19 

1.89 

962.22 

1.86 

1137.15 

1.59 

1274.22 

1.11 

1355.63 

0.49 

7.2 

2.9 

774.08 

1.90 

964.08 

1.86 

1138.74 

1.59 

1275.33 

1.11 

1356.12 

0.49 

7.1 

3.0 

775.98 

1.89 

965.94 

1.86 

1140.33 

1.58 

1276.44 

1.10 

1356.61 

0.48 

7.0 

3.1 

777.87 

1.90 

967.80 

1.86 

1141.91 

1.58 

1277.54 

1.10 

1357.09 

0.47 

6.9 

3.2 

779.77 

1.90 

969.66 

1.86 

1143.49 

1.58 

1278.64 

1.09 

1357.56 

0.46 

6.8 

3.3 

781.67 

1.90 

971.52 

1.86 

1145.07 

1.57 

1279.73 

1.09 

1358.02 

0.46 

6.7 

3.4 

783.57 

1.90 

973.38 

1.85 

1146.64 

1.57 

1280.82 

1.08 

1358.48 

0.45 

6.6 

3.5 

785.47 

1.90 

975.23 

1.85 

1148.21 

1.57 

1281.90 

1.07 

1358.93 

0.44 

6.5 

3.6 

787.37 

1.90 

977.08 

1.85 

1149.78 

1.56 

1282.97 

1.07 

1359.37 

0.44 

6.4 

3.7 

789.27 

1.90 

978.93 

1.85 

1151.34 

1.56 

12N4.04 

1.06 

1859.81 

0.43 

6.3 

3.8 

791.17 

1.90 

980.78 

.85 

1152.90 

1.55 

1285.10 

1.06 

1360.24 

0.42 

6.2 

3.9 

793.07 

1.90 

982.63 

.85 

1154.45 

1.55 

1286.16 

1.05 

1360.66 

0.42 

6.1 

4.0 

794.97 

1.90 

984.48 

.84 

1156.00 

1.55 

1287.21 

1.05 

1361.  ON 

0.41 

6.0 

4.1 

796.87 

1.90 

!iMi.:t-J 

.84 

1157.55 

1.54 

1288.26 

1.04 

1361.1!) 

0.40 

5.9 

4.2 

798.77 

.90 

968.16 

.M 

1159.0!) 

1.54 

12N9.30 

1.03 

1361,  si) 

0.40 

5.8 

4.3 

800.67 

.91 

990.00 

,M 

1  160.63 

1  .53 

!-.»>().:(:( 

1.M 

1362.29 

0.39 

5.7 

4.4 

802.58 

.91 

991.84 

.84 

1162.16 

1.53 

1291.36 

1.02 

1362.68 

0.38 

5.6 

4.5 

804.49 

.91 

993.68 

.84 

1163.69 

1.52 

1292.38 

1.02 

1363.06 

0.37 

5.5 

4.6 

806.40 

.91 

996.63 

.81} 

1165.21 

1.52 

129!t.  10 

1.01 

1363.43 

0.37 

5.4 

4.7 

sos.rn 

.91 

997.35 

.83 

1  166.73 

IJfl 

1294.41 

1.0(1 

136380 

0.36 

5.3 

4.8 

810.22 

.91 

!)<)!).  is 

.H:t 

1168.25 

1.51 

1295.41 

1.00 

1364.16 

0.35 

5.2 

4.9 

812.13 

1.91 

1001.01 

.83 

1169.76 

1.51 

121)6.41 

0.99 

1364.51 

0.35 

5.1 

5.0 

814.04 

1.91 

1002.84 

.82 

1171.27 

1.50 

1297.40 

<>.!>!) 

136-1XJ 

0.3  i 

5.0 

Day.. 

i: 

to 

1-' 

9 

111 

l> 

10 

1 

9 

0 

Days. 

NOTE.  —  Arg.  12'  =  Arg.  IS. 

268 


TABLE  LXXXIII.    ARGUMENT  12'. 


Equation  —  846".0  +  527".5  sin.  (2t  —  2y). 


Days. 

1 

» 

50 

<><) 

> 

rc 

i 

8 

0 

Days. 

Daya. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Days. 

I 

a 

ii 

• 

,1 

5.0 

814.04 

1.91 

1002.84 

1.82 

1171.27 

1.50 

1297.40 

0.99 

1364.86 

0.34 

5.0 

5.1 

815.95 

1.91 

1004.66 

1.82 

1172.77 

1.50 

1298.39 

0.98 

1365.20 

033 

4.9 

5.2 

817.86 

1.91 

1006.48 

1.82 

1  174.27 

1.49 

1299.37 

0.97 

1365.53 

0.33 

4.8 

5.3 

819.77 

«  1.91 

1008.30 

1.82 

1175.76 

1.49 

1300.34 

0.97 

1365.86 

0.32 

4.7 

5.4 

821.68 

1.91 

1010.12 

1.82 

1177.25 

1.48 

1301.31 

0.96 

-1366.18 

0.31 

4.6 

5.5 

823.59 

1.91 

1011.94 

1.82 

1178.73 

1.48 

1302.27 

0.96 

1366.49 

0.31 

4.5 

5.6 

825.50 

1.91 

1013.76 

1.81 

1180.21 

1.48 

1303.23 

0.95 

1366.80 

0.30 

4.4 

5.7 

827.41 

1.91 

1015.57 

1.81 

1181.69 

1.47 

1304.18 

0.95 

1367.10 

0.29 

4.3 

5.8 

829.32 

1.91 

1017.38 

1.81 

1183.16 

1.47 

1305.13 

0.94 

1367.39 

0.29 

4.2 

5.9 

831.23 

1.91 

1019.19 

1.81 

1184.63 

1.47 

1306.07 

0.93 

1367.68 

0.28 

4.1 

6.0 

833.14 

1.91 

1021.00 

1.80 

1186.10 

1.46 

1307.00 

0.93 

1367.96 

0.27 

4.0 

6.1 

835.05 

1.92 

1022.80 

1.80 

1187.56 

1.45 

1307.93 

0.92 

1368.23 

0.27 

3.9 

6.2 

836.97 

1.91 

1024.60 

1.80 

1189.01 

1.45 

1308.85 

0.91 

1368.50 

0.26 

3.8 

6.3 

838.88 

1.91 

1026.40 

1.80 

1190.46 

1.45 

1309.76 

0.91 

1368.76 

0.25 

3.7 

6.4 

840.79 

1.91 

1028.20 

1.79 

1191.91 

1.44 

1310.67 

0.90 

1369.01 

0.25 

3.6 

6.5 

842.70 

1.92 

1029.99 

1.79 

1193.35 

1.44 

1311.57 

0.90 

1369  26 

0.24 

3.5 

6.6 

844.62 

1.91 

1031.78 

1.79 

1194.79 

1.43 

1312.47 

0.89 

1369.50 

0.23 

3.4 

6.7 

846.53 

1.91 

1033.57 

1.79 

1196.22 

1.43 

1313.36 

0.88 

1369.73 

0.22 

3.3 

6.8 

848.44 

1.91 

1035.36 

1.78 

1197.65 

1.42 

1314.24 

0.88 

1369.95 

0.22 

3.2 

6.9 

850.35 

1.91 

1037.14 

1.78 

1199.07 

1.42 

1315.12 

0.87 

1370.17 

0.21 

3.1 

7.0 

852.26 

1.92 

1038.92 

1.78 

1200.49 

1.41 

1315.99 

0.87 

1370.38 

0.20 

30 

7.1 

854.18 

1.91 

1040.70 

1.78 

1201.90 

1.41 

1316.8G 

0.86 

1370.58 

0.20 

2.9 

7.2 

856.09 

1.91 

1042.48 

1.77 

1203.31 

1.40 

1317.72 

0.85 

1370.78 

0.19 

2.8 

7.3 

858.00 

1.91 

1044.25 

1.77 

1204.71 

1.40 

1318.57 

0.85 

1370.97 

0.18 

2.7 

7.4 

859.91 

1.91 

1046.02 

1.77 

1206.11 

1.39 

1319.42 

0.84 

1371.15 

0.18 

2.6 

7.5 

861.82 

1.92 

1047.79 

1.77 

1207.50 

1.39 

1320.26 

0.84 

1371.33 

0.17 

2.5 

7.6 

863.74 

1.91 

1049.56 

1.76 

12()8.8i» 

1.3:) 

IMl.lO 

0.8'i 

ia:i..rio 

0.19 

2.4 

7.7 

865.65 

1.91 

1051.32 

1.76 

1210.28 

1.38 

1321.93 

0.82 

1371.66 

0.16 

2.3 

7.8 

867.56 

1.91 

1053.08 

1.76 

1211.66 

1.38 

1322.75 

0.81 

1371.82 

0.15 

2.2 

7.9 

869.47 

1.91 

1054.84 

1.75 

1213.04 

1.33 

l'«3.56 

0.81 

1371.97 

0.14 

2.1 

8.0 

871.38 

1.91 

1056.59 

1.75 

1214.42 

1.37 

1324.37 

0.80 

1372.11 

0.14 

2.0 

8.1 

873.29 

1.91 

1058.34 

1.75 

1215.79 

1.36 

1325.17 

0.80 

1372.25 

0.13 

.9 

8.2 

875.20 

1.91 

10(J0.09 

1.75 

1017.15 

1.36 

1S:5.97 

0.7!t 

1372.38 

0.12 

.8 

8.3 

877.11 

1.90 

1061.84 

1.74 

1218.51 

1.35 

1326.76 

0.78 

1372.50 

0.11 

.7 

8.4 

879.01 

1.91 

1063.58 

1.74 

1219.86 

1.35 

1327.54 

0.78 

1372.61 

0.11 

.6 

8.5 

880.92 

1.91 

1065.32 

1.74 

1221.21 

1.34 

1328.32 

0.77 

1372.72 

0.10 

.5 

8.6 

882.83 

1.91 

1067.06 

.73 

1222.55 

1.34 

1329.09 

0.76 

1372.82 

0.09 

.4 

8.7 

884.74 

1.91 

1068.79 

.73 

1223.89 

1.33 

1329.85 

0.76 

1372.91 

0.09 

.3 

8.8 

886.65 

1.90 

1070.52 

.73 

1225.22 

1.32 

1330.61 

0.75 

1373.00 

0.08 

1.2 

8.9 

888.55 

1.91 

1072.25 

.73 

1226.54 

1.32 

1331.36 

0.74 

1373.08 

0.07 

1.1 

9.0 

890.46 

1.91 

1073.98 

.72 

1227.86 

1.32 

1332.10 

0.74 

1373.15 

0.07 

1.0 

9.1 

892.37 

1.91 

1075.70 

.72 

1229.18 

1.31 

1332.84 

0.73 

1373.22 

0.06 

0.9 

9.2 

894.28 

1.91 

1077.42 

1.72 

1230.49 

1.31 

1333.57 

0.73 

1373.28 

0.05 

0.8 

9.3 

896.19 

1.90 

1079.14 

1.71 

1231.80 

1.30 

1334.30 

0.72 

1373.33 

0.05 

0.7 

9.4 

898.09 

1.90 

1080.85 

1.71 

1233.10 

1.30 

1335.02 

0.71 

1373.38 

0.04 

0.6 

9.5 

899.99 

1.90 

1082.56 

1.71 

1234.40 

1.29 

1335.73 

0.71 

1373.42 

0.03 

0.5 

9.6 

901.89 

1.90 

1084.27 

1.70 

1235.69 

1.29 

1336.44 

0.70 

1373.45 

0.02 

0.4 

9.7 

903.79 

1.90 

1085.97 

1.70 

1236.98 

1.28 

1337.14 

0.70 

1373.47 

0.02 

0.3 

9.8 

905.69 

1.90 

1087.67 

1.70 

1238.26 

1.27 

1337.84 

0.69 

1373.49 

0.01 

0.2 

9.9 

907.59 

1.90 

1089.37 

1.70 

1239.53 

1.27 

1338.53 

0.69 

1373.50 

0.00 

0.1 

10.0 

909.49 

1.90 

1091.07 

1.69 

1240.80 

1.27 

1339.22 

0.68 

1373.50 

0.00 

0.0 

Days 

ii 

SO 

13i 

» 

11 

0 

B0( 

» 

9 

0 

Days. 

NOTE.— Arg.  12' 
269 


•  Arg.12. 


TABLES   LXXXIV.  LXXXV. 


TABLES 

ARGUMENTS 


LXXXIV. 


LXXXV. 
33. 


Days.        O      100      9OO      3OO      4OO      5OO      Days. 

Days.       O           1O         1JO      Days. 

Day«. 

0 

i'.i5 

0.95 

8.68 

21.85 

36.26 

47.29 

Ihiy... 

100 

Davs 

0.0 

44.15 

41.82 

33.98 

1  ',1  V    • 

10.0 

01 

1.11 

0.99 

8.79 

21.99 

36.40 

47.37 

99 

0.1 

44.16 

41.77 

33.88 

9.9 

02 

1.07 

1.03 

8.90 

22.14 

36.53 

47.45 

98 

0.2 

44.17 

41.71 

33.78 

9.8 

03 

1.03 

1.07 

9.01 

22.28 

36.67 

47.53 

97 

0.3 

44.17 

41.66 

33.68 

9.7 

04 

0.99 

1.11 

9.12 

22.43 

36.80 

47.61 

96 

0.4 

44.18 

41.60 

33.58 

9.6 

05 

0.95 

1.16 

9.23 

22.58 

36.93 

47.68 

95 

0.5 

44.18 

41.55 

33.48 

9.5 

06 

0.91 

1.20 

9.34 

22.72 

37.06 

47.76 

94 

0.6 

44.18 

41.49 

33.38 

9.4 

07 

0.87 

1.25 

9.46 

22.87 

37.19 

47.83 

93 

0.7 

44.19 

41.43 

33.28 

9.3 

08 

0.83 

1.29 

9.57 

23.01 

37.32 

47.91 

92 

0.8 

44.19 

41.38 

33.18 

9.2 

09 

0.79 

1.34 

9.69 

23.16 

37.45 

47.98 

91 

0.9 

44.19 

41.32 

33.08 

9.1 

10 

0.76 

1.39 

9.81 

23.31 

37.58 

48.05 

90 

1.0 

44.20 

41.26 

32.97 

9.0 

11 

0.72 

1.44 

9.92 

23.45 

37.71 

48.12 

89 

1.1 

44.20 

41.20 

32.87 

8.9 

12 

0.69 

1.49 

10.04 

23.60 

37.84 

48.19 

88 

1.2 

44.20 

41.14 

32.76 

8.8 

13 

0.65 

1.54 

10.15 

23.75 

37.97 

48.26 

87 

1.3 

44.20 

41.08 

32.66 

8.7 

14 

0.62 

1.59 

10.27 

23.90 

38.10 

48.33 

86 

1.4 

44.20 

41.02 

32.55 

8.6 

15 

0.59 

1.64 

10.39 

24.05 

38.23 

48.40 

85 

1.5 

44.20 

40.96 

32.45 

8.5 

16 

0.56 

1.69 

10.51 

24.19 

38.36 

48.47 

84 

1.6 

44.20 

40.89 

32.34 

8.4 

17 

0.53 

1.74 

10.63 

24.34 

38.49 

48.54 

83 

1.7 

44.19 

40.83 

32.24 

8.3 

18 

0.50 

1.80 

10.75 

24.48 

38.62 

48.61 

82 

1.8 

44.19 

40.77 

32.13 

8.3 

19 

0.47 

1.85 

10.87 

24.63 

38.75 

48.68 

81 

1.9 

44.19 

40.71 

32.03 

8.1 

20 

0.44 

1.91 

10.99 

24.78 

38.87 

48.74 

80 

2.0 

44.18 

40.64 

31.92 

8.0 

21 

0.41 

1.97 

11.11 

24.92 

39.00 

48.81 

79 

2.1 

44.18 

40.58 

31.82 

7.9 

22 

0.39 

2.02 

11.23 

25.07 

39.13 

48.87 

78 

2.2 

44.17 

40.51 

31.71 

7.8 

23 

0.36 

2.08 

11.35 

25.22 

39.25 

48.94 

77 

2.3 

44.17 

40.44 

31.61 

7.7 

24 

0.34 

2.14 

11.47 

25.37 

39.38 

49.00 

76 

2.4 

44.16 

40.38 

31.50 

7.6 

25 

0.32 

2.20 

11.60 

25.52 

39.50 

49.06 

75 

2.5 

44.15 

40.31 

31.39 

7.5 

26 

0.29 

2.26 

11.72 

25.66 

39.63 

49.12 

74 

2.6 

44.14 

40.24 

31.29 

7.4 

27 

0.27 

2.32 

11.84 

25.81 

39.75 

49.18 

73 

2.7 

44.13 

40.18 

81.18 

7.3 

28 

0.25 

2.38 

11.97 

25.96 

39.87 

49.24 

72 

2.8 

44.12 

40.11 

31.07 

7.2 

29 

0.23 

2.44 

12.09 

26.11 

39.99 

49.30 

71 

2.9 

44.11 

40.04 

30.96 

7.1 

30 

0.21 

2.50 

12.22 

26.26 

40.11 

49.35 

70 

3.0 

44.10 

39.97 

30.85 

7.0 

31 

0.19 

2.56 

12.35 

26.40 

40.24 

49.41 

69 

3.1 

44.09 

39.90 

80.74 

6.9 

32 

0.17 

2.63 

12.47 

26.55 

40.36 

49.47 

68 

3.2 

44.08 

39.83 

30.63 

6.8 

33 

0.16 

2.69 

12.60 

26.70 

40.48 

49.52 

67 

:t.:( 

44.06 

:(<».7<; 

30.52 

6.7 

34 

0.14 

2.76 

12.73 

26.85 

40.60 

49.58 

66 

3.4 

44.05 

39.69 

30.41 

6.6 

35 

0.13 

2.83 

12.86 

27.00 

40.72 

49.63 

65 

3.5 

44.04 

39.62 

30.30 

6.5 

36 

0.11 

2.90 

12.98 

27.14 

40.84 

49.69 

64 

3.6 

44.02 

39.54 

30.19 

6.4 

37 

0.10 

2.97 

13.11 

•27.2!) 

40.96 

49.74 

63 

3.7 

44.01 

39.47 

30.0N 

<;.:« 

38 

0.09 

3.04 

13.24 

27.44 

41.08 

49.79 

62 

3.8 

48.19 

39.40 

39.97 

6.2 

39 

0.08 

3.11 

13.37 

27.58 

41.20 

49.84 

61 

3.9 

43.98 

39.33 

21).  Nil 

6.1 

40 

0.07 

3.18 

13.50 

27.73 

41.31 

49.89 

60 

4.0 

43.96 

39.25 

29.75 

6.0 

41 

O.Ofi 

3.25 

13.63 

27.88 

41.43 

49.94 

59 

4.1 

43.94 

89.18 

39.64 

5.9 

42 

0.05 

3.32 

13.76 

28.03 

41.55 

49.99 

58 

4.2 

43.92 

:!<>.]<> 

29.53 

5.8 

43 

0.01 

3.39 

18.89 

28.17 

41.66 

50.0  I 

57 

4.3 

48  JO 

:i».o:{ 

29.42 

5.7 

41 

0.03 

.-(.  it; 

14.02 

28.32 

41.78 

50.09 

56 

4.4 

43.88 

88.96 

29.31 

5.6 

45 

0.02 

:t.:.i 

14.15 

28.47 

41.89 

50.13 

55 

4.5 

13.86 

38.87 

29.20 

5.5 

46 

0.01 

3.61 

1  1  .-.'- 

|».69 

12.01 

50.18 

54 

4.6 

l.'f.Nl 

88JO 

29.  OH 

5.4 

47 

0.01 

3.69 

14.41 

2N.7H 

12.12 

50.33 

58 

4.7 

43.S2 

3N.72 

28.97 

r>.:{ 

48 

0.01 

3.76 

14.55 

38.91 

42.24 

50.27 

52 

4.8 

lit.  so 

38.64 

98.86 

5.3 

49 

0.00 

8.84 

14.68 

29.05 

13.85 

r.o.:!  i 

51 

4.9 

43.78 

88.66 

28.75 

5.1 

50 

0.00 

3.!»2      14.82 

29.20 

13.46 

50.35 

50 

5.0 

4375 

38.48 

2N.63 

5.0 

Days.  1100   1000     9OO       HOO      700      60O       Days. 

Days.     HO        100         OO     Days. 

* 

NOTB.  —  Arg.  73"  =  Arg.  fB  +  321 .87. 
270 


TABLES   LXXXIV.  LXXXV. 


TABLES 
ARGUMENTS 


LXXXIV. 

73". 


LXXXV. 
53. 


Days.        O      1OO      2OO      3OO      4OO      5OO      Days. 

Days.       O           1O        2O      Days. 

Day« 

Days 

Days 

H 

„ 

H 

Days. 

50 

o.oo 

3.92 

14.82 

29.20 

42.46 

50.35 

50 

5.0 

43.75 

38.48 

28.63 

5.0 

51 

0.00 

4.00 

14.95 

29.35 

42.57 

50.39 

49 

5.1 

43.73 

38.40 

28.52 

4.9 

52 

0.00 

4.08 

15.08 

29.49 

42.68 

50.43 

48 

5.2 

43.70 

38.32 

28.41 

4.8 

53 

0.00 

4.16 

15.22 

29.64 

42.79 

50.47 

47 

5.3 

43.68 

38.24 

28.30 

4.7 

54 

0.00 

4.24 

15.35 

29.78 

42.90 

50.51 

46 

5.4 

43.65 

38.16 

28.18 

4.6 

55 

0.00 

4.32 

15.49 

29.93 

43.01 

50.55 

45 

5.5 

43.63 

38.08 

28.07 

4.5 

56 

0.00 

4.40 

15.62 

30.08 

43.12 

50.59 

44 

5.6 

43.60 

37.99 

27.96 

4.4 

57 

0.00 

4.48 

15.76 

30.22 

43.23 

50.63 

43 

5.7 

43.57 

37.91 

27.85 

4.3 

58 

0.01 

4.57 

15.89 

30.37 

43.34 

50.66 

42 

5.8 

43.55 

37.83 

27.73 

4.2 

59 

0.01 

4.65 

16.03 

30.51 

43.45 

50.70 

41 

5.9 

43.5-i 

37.75 

27.62 

4.1 

60 

0.02 

4.74 

16.17 

30.65 

43.55 

50.73 

40 

6.0 

43.49 

37.66 

27.50 

4.0 

61 

0.03 

4.83 

16.30 

30.80 

43.66 

50.76 

39 

6.1 

43.46 

37.58 

27.39 

3.9 

62 

0.04 

4.91 

16.44 

30.94 

43.76 

50.79 

38 

6.2 

43.43 

37.49 

27.27 

3.8 

63 

0.05 

5.00 

16.58 

31.09 

43.87 

50.82 

37 

6.3 

43.40 

37.41 

27.16 

3.7 

64 

0.06 

5.09 

16.72 

31.23 

43.97 

50.85 

36 

6.4 

43.36 

37.32 

27.04 

3.6 

65 

0.07 

5.18 

16.86 

31.37 

44.07 

50.88 

35 

6.5 

43.33 

37.24 

26.93 

3.5 

66 

0.08 

5.27 

17.00 

31.52 

44.18 

50.91 

34 

6.6 

43.30 

37.15 

26.81 

3.4 

67 

0.09 

5.36 

17.14 

31.66 

44.28 

50.94 

33 

6.7 

43.26 

37.07 

26.70 

3.3 

68 

0.10 

5.45 

17.28 

31.81 

44.38 

50.97 

32 

6.8 

43.23 

36.98 

26.58 

3.2 

69 

0.11 

5.54 

17.42 

31.95 

44.48 

51.00 

31 

6.9 

43.20 

36.89 

26.46 

3.1 

70 

0.13 

5.63 

17.56 

32.09 

44.58 

51.02 

30 

7.0 

43.16 

36.80 

26.34 

3.0 

71 

0.14 

5.72 

17.70 

32.24 

44.6S 

51.05 

29 

7.1 

43.13 

36.71 

26.23 

2.9 

72 

0.16 

5.81 

17.84 

32.38 

44.78 

51.07 

28 

7.2 

43.09 

36.62 

26.11 

2.8 

73 

0.18 

5.91 

17.98 

32.53 

44.88 

51.10 

27 

7.3 

43.05 

36.53 

26.00 

2.7 

74 

0.20 

6.00 

18.12 

32.67 

44.98 

51.12 

26 

7.4 

43.01 

36.44 

25.88 

2.6 

75 

0.22 

6.10 

18.26 

32.81 

45.07 

51.14 

25 

7.5 

42.97 

36.35 

25.77 

2.5 

76 

0.24 

6.19 

18.40 

32.95 

45.17 

51.16 

24 

7.6 

42.93 

36.26 

25.% 

2.4 

77 

0.26 

6.29 

18.51 

33.09 

45.27 

51.18 

93 

7.7 

4-J.8!; 

36.17 

26.53 

2.3 

78 

0.28 

6.38 

18.68 

33.23 

45.36 

51.20 

22 

7.8 

42.85 

36.08 

25.42 

2.2 

79 

0.30 

6.48 

18.82 

33.37 

45.46 

51.22 

21 

7.9 

42.81 

35.99 

25.30 

2.1 

80 

0.32 

6.58 

18.97 

33.51 

45.55 

51.23 

20 

8.0 

42.77 

35.90 

25.18 

2.0 

81 

0.34 

6.68 

19.11 

33.65 

45.65 

51.25 

19 

8.1 

42.73 

35.81 

25.07 

1.9 

82 

0.37 

6.78 

19.25 

33.79 

45.74 

51.26 

18 

8.2 

43.fi9 

35.72 

24.95 

1.8 

83 

0.39 

6.8S 

19.39 

33.i)3 

45.83 

51.28 

17 

8.3 

4-^.  ;r> 

35.62 

24.83 

1.7 

84 

0.42 

6.98 

19.53 

34.07 

45.92 

51.29 

16 

8.4 

42.61 

35.53 

24.72 

1.6 

85 

0.45 

7.08 

19.68 

34.21 

46.01 

51.30 

15 

8.5 

42.56 

35.44 

24.60 

1.5 

86 

0.47 

7.18 

19.82 

34.35 

46.10 

51.32 

14 

8.6 

42.52 

35.35 

24.48 

1.4 

87 

0.50 

7.28 

19.96 

34.49 

46.19 

51.33 

13 

8.7 

42.47 

35.25 

24.37 

1.3 

88 

0.53 

7.39 

20.11 

34.63 

46.28 

51.34 

12 

8.8 

42.42 

35.16 

24.25 

1.2 

89 

0.56 

7.49 

20.25 

34.77 

46.37 

51.35 

11 

8.9 

42.37 

35.06 

24.13 

1.1 

90 

0.59 

7.60 

20.40 

34.90 

46.45 

51.36 

10 

9.0 

42.32 

34.96 

24.01 

1.0 

91 

0.62 

7.70 

20.54 

35.04 

46.54 

51.37 

09 

9.1 

42.27 

34.87 

23.90 

0.9 

92 

0.65 

7.81 

20.68 

35.18 

46.63 

51.38 

08 

9.2 

42.22 

34.77 

23.78 

0.8 

93 

0.69 

7.91 

20.83 

35.31 

46.71 

51.38 

07 

9.3 

42.17 

34.67 

23.66 

0.7 

94 

0.72 

8.02 

20.97 

35.45 

46.80 

51.39 

06 

9.4 

42.12 

34.58 

23.54 

0.6 

95 

0.76 

8.13 

21.12 

35.58 

46.88 

51.39 

05 

9.5 

42.07 

34.48 

23.43 

0.5 

96 

0.79 

8.24 

21.26 

35.72 

46.97 

51.39 

04 

9.6 

42.02 

34.38 

23.31 

0.4 

97 

0.83 

8.35 

21.41 

35.86 

47.05 

51.40 

03 

9.7 

41.97 

34.28 

23.19 

0.3 

98 

0.87 

8.46 

21.55 

35.99 

47.13 

51.40 

02 

9.8 

41.92 

34.18      23.07 

0.2 

99 

0.91 

8.57 

21.70 

36.13 

47.21 

51.40 

01 

9.9 

41.87 

34.08      22.95 

0.1 

100 

0.95 

8.68 

21.85 

36.26 

47.29 

51.40 

0 

10.0 

41.82 

33.98      22.83 

0.0 

Days.  11OO  1OOO     9OO       8OO      7OO      6OO       Days. 

Days.     11O       1OO         90     Days. 

NOTB.  —  Arg.  73"  =  Aig.  73  +  321 37. 
271 


TABLES  LXXXV.  -  LXXXVII. 


TABLES 
ARGUMENTS 


LXXXV. 
53. 


LXXXVI. 
1. 


LXXXVII. 

ro. 


Days. 

30 

4O 

SO 

Days. 

Days. 

0 

10 

20 

Days. 

0 

100 

Days. 

Days. 

0.0 

22.83 

11.47 

3.0S 

Days. 

10.0 

Days. 

0.0 

2*.60 

0.45 

1.09 

Dayi 
0 

2.22 

6.92 

100 

0.1 

22.72 

11.37 

3.02 

9.9 

0.1 

2.60 

0.43 

1.12 

01 

2.10 

7.10 

99 

0.2 

22.60 

11.27 

2.96 

9.8 

0.2 

2.60 

0.41 

1.15 

02 

1.98 

7.29 

98 

0.3 

22.48 

11.16 

2.90 

9.7 

0.3 

2.60 

0.39 

1.18 

03 

1.87 

7.48 

97 

0.4 

22.36 

11.06 

2.85 

9.6 

0.4 

2.60 

0.37 

1,21 

04 

1.76 

7.67 

96 

0.5 

22.25 

10.96 

2.79 

9.5 

0.5 

2.60 

0.35 

.24 

05 

1.65 

7.86 

95 

0.6 

22.13 

10.85 

2.73 

9.4 

0.6 

2.59 

0.33 

.27 

06 

1.55 

8.05 

94 

0.7 

22.01 

10.75 

2.68 

9.3 

0.7 

2.59 

0.31 

.30 

07 

1.45 

8.24 

93 

0.8 

21.89 

10.65 

2.62 

9.2 

0.8 

2.58 

0.29 

.33 

08 

1.35 

8.43 

92 

0.9 

21.77 

10.55 

2.56 

9.1 

0.9 

2.58 

0.27 

.36 

09 

1.25 

8.62 

91 

1.0 
1.1 
1.2 
1.3 
1.4 

21.65 
21.54 
21.42 
21.30 
21.18 

10.45 
10.35 
10.25 
10.15 
10.05 

2.51 
2.45 
2.40 
2.35 
2.30 

9.0 

8.9 
8.8 
8.7 
8.6 

1.0 
1.1 
1.2 
1.3 
1.4 

2.57 
2.56 
2.55 
2.54 
2.54 

0.26 
0.24 
0.22 
0.21 
0.19 

.39 
.42 
.45 
1.48 
1.51 

10 
11 
12 
13 
14 

1.16 
1.07 
0.98 
0.90 
0.82 

8.82 
9.01 
9.21 
9.40 
9.60 

90 

89 
88 
87 
86 

1.5 

21.07 

9.96 

2.24 

8.5 

15 

0.75 

9.80 

85 

1.6 

20.95 

9.86 

2.19 

8.4 

1.5 

2.53 

0.17 

1.54 

16 

0.68 

9.99 

84 

1.7 

20.83 

9.76 

2.14 

8.3 

1.6 

2.52 

0.16 

1.57 

17 

0.61 

10.19 

83 

1.8 

20.71 

9.66 

2.09 

8.2 

1.7 

2.51 

0.14 

1.60 

18 

0.54 

10.38 

82 

1.9 

20.59 

9.56 

2.04 

8.1 

1.8 

2.50 

0.13 

1.63 

19 

0.48 

10.5S 

81 

1.9 

2.49 

0.11 

1.66 

2.0 

20.47 

9.47 

1.99 

8.0 

20 

0.42 

10.78 

80 

2.1 

20.36 

9.37 

1.94 

7.i) 

2.0 

2.47 

0.10 

1.69 

21 

0.37 

10.97 

79 

2.2 

20.24 

9.27 

1.89 

7.8 

2.1 

2.46 

0.09 

1.72 

22 

0.32 

11.17 

78 

2.3 

20.12 

9.18 

1.85 

7.7 

2.2 

2,45 

0.08 

1.75 

23 

0.27 

11.37 

77 

2.4 

20.00 

9.08 

1.80 

7.6 

2.3 

2.43 

0.07 

1.77 

24 

0.23 

11.56 

76 

2.4 

2.42 

0.06 

1.80 

2.5 

19.88 

8.98 

1.75 

7.5 

25 

0.19 

11.76 

75 

2.6 

19.77 

8.89 

1.71 

7.4 

2.5 

2.40 

0.05 

1.82 

26 

0.15 

11.96 

74 

2.7 

19.65 

8.79 

1.66 

7.3 

2.6 

2.39 

0.04 

1.85 

27 

0.12 

12.15 

73 

2.8 

19.53 

8.70 

1.62 

7.2 

2.7 

8.07 

0.03 

1.88 

28 

0.09 

12.34 

72 

2.9 

19.41 

8.60 

1.57 

7.1 

2.8 

2.35 

0.03 

1.90 

29 

0.07 

12.53 

71 

2.9 

2.33 

0..02 

1.93 

3.0 

19.29 

8.51 

1.53 

7.0 

30 

0.05 

12.72 

70 

3.1 
3.2 
3.3 
3.4 

19.17 
19.05 
18.94 

18.82 

8.41 
8.32 
8.23 
8.14 

1.49 
1.45 
1.41 

1.37 

6.9 
6.8 
6.7 
6.6 

3.0 
3.1 
3.2 
3.3 

2.31 
2.29 
2.27 
2.25 

0.02 
0.01 
0.01 
0.01 

1.96 
1.98 
2.01 
2.03 

31 
32 
33 
34 

0.03 
0.02 
0.01 
0.00 

12.91 
13.10 

18.48 

69 
68 
67 
66 

3.5 

18.70 

8.05 

1.33 

6.5 

3.4 

2.23 

0.01 

2.06 

35 

0.00 

13.66 

65 

3.6 

18.58 

7.96 

1.29 

6.4 

36 

0.00 

13.85 

64 

l-v!7 

787 

1.25 

6.3 

3.5 

2.21 

0.00 

2.08 

37 

0.00 

14.03 

3.8 

7.78 

1.21 

6.2 

3.6 

2.19 

0.00 

2.10 

38 

0.01 

14.21 

62 

3.9 

18.23 

7.69 

1.17 

6.1 

3.7 

2.17 

0.00 

2.12 

39 

0.02 

14.39 

61 

3.8 

2.14 

0.00 

2.14 

4.0 

18.12 

7.60 

1.13 

6.0 

3.9 

2.12 

0.00 

2.17 

40 

0.04 

14.57 

60 

4.1 

18.00 

7.51 

1.09 

5.9 

41 

0.06 

14.75 

59 

4.'2 

17.H9 

7.42 

1.05 

5.8 

4.0 

2.10 

0.00 

2.19 

42 

0.09 

14.98 

58 

4.3 

17.77 

7.33 

1.02 

5.7 

4.1 

2.08 

0.00 

2.21 

43 

0.12 

15.10 

57 

4.4 

17.66 

7.25 

0.98 

5.6 

4.2 

2.06 

0.01 

2.23 

44 

0.15 

15.27 

56 

4.3 

2.03 

0.01 

2.25 

4.5 

17.54 

7.  16 

0.95 

5.5 

4.4 

2.01 

0.01 

2.27 

45 

0.18 

15.41 

55 

4.6 

17.43 

7.07 

0.91 

5.4 

46 

0.22 

15.61 

54 

4.7 

17.31 

6.99 

0.88 

f>.:j 

4.5 

.98 

0.01 

2.29 

47 

0.26 

15.78 

53 

4.8 

17.-20 

6.90 

0.84 

5.2 

4.6 

.96 

0.02 

2.81 

48 

0.31 

15.95 

52 

4.9 

17.08 

6.81 

O.Nl 

5.1 

4.7 

.93 

0.02 

49 

0.36 

16.11 

51 

5.0 

16.97 

6.73 

0.78 

5.0 

4.8 

.90 

0.03 

2^35 

50 

0.41 

16.27 

50 

4.9 

.88 

0.03 

2.37 

Days. 

80 

7« 

6O 

Days. 

5.0 

.85 

0.04 

2.39 

Days. 

300 

•JOO 

Days. 

272 


TABLES  LXXXV.  -  LXXXVII. 


TABLES 
ARGUMENTS 


LXXXV. 
53. 


LXXXVI. 
1. 


LXXXVII. 
70. 


Days. 

30 

4O 

.TO 

Days. 

Days. 

0 

1O 

2O 

Days. 

O 

100 

Days. 

Dava 

5.0 

16.97 

6.73 

0.78 

Days. 

5.0 

Days. 

5.0 

1.85 

0.04 

2.39 

Days. 

50 

// 

0.41 

16.27 

Davs. 

50 

5.1 

16.85 

6.64 

0.75 

4.9 

5.1 

1.82 

0.05 

2.40 

51 

0.47 

16.43 

49 

5.2 

16.74 

6.56 

0.72 

4.8 

5.2 

1.80 

0.06 

2.42 

52 

0.53 

16.59 

48 

5.3 

16.62 

6.48 

0.69 

4.7 

5.3 

1.77 

0.07 

2.43 

53 

0.5!) 

16.74 

47 

5.4 

16.51 

6.40 

0.66 

4.6 

5.4 

1.75 

0.08 

2.45 

54 

0.66 

16.89 

46 

,  5.5 

16.39 

6.31 

0.64 

4.5 

5.5 

1.72 

0.09 

2.46 

55 

0.73 

17.04 

45 

5.6 

16.28 

6.23 

0.61 

4.4 

5.6 

1.69 

0.10 

2.47 

56 

0.80 

17.19 

44 

5.7 

•16.17 

6.15 

0.58 

4.3 

5.7 

1.66 

0.11 

2.49 

57 

0.88 

17.33 

43 

5.8 

16.05 

6.07 

0.55 

4.2 

5.8 

1.63 

0.13 

2.50 

58 

0.96 

17.47 

42 

5.9 

15.94 

5.99 

0.52 

4.1 

5.9 

1.60 

0.14 

2.51 

59 

1.05 

17.61 

41 

6.0 

15.83 

5.91 

0.50 

4.0 

6.0 

1.57 

0.16 

2.52 

60 

1.14 

17.75 

40 

6.1 

15.71 

5.83 

0.47 

3.9 

6.1 

1.54 

0.17 

2.53 

61 

.1.23 

17.88 

39 

6.2 
6.3 
6.4 

15.60 
15.49 
15.37 

5.75 

5.67 
5.59 

0.45 
0.43 
0.41 

3.8 
3.7 
3.6 

6.2 
6.3 
6.4 

1.51 

1.48 
1.45 

0.19 
0.21 
0.22 

2.54 
2.54 
2.55 

62 
63 
64 

1.33 
1.43 
1.53 

18.01 
18.14 
18.27 

38 
37 
36 

6.5 

15.26 

5.51 

0.38 

3.5 

65 

1.63 

18.39 

35 

6.6 

15.15 

5.43 

0.36 

3.4 

6.5 

1.42 

0.24 

2.56 

66 

1.74 

18.51 

34 

6.7 

15.03 

5.35 

0.34 

3.3 

6.6 

1.39 

0.26 

2.57 

67 

1.85 

18.63 

33 

6.8 

14.92 

5.27 

0.32 

3.2 

6.7 

1.36 

0.27 

2.58 

68 

1.96 

18.75 

32 

6.9 

14.81 

5.19 

0.30 

3.1 

6.8 

1.33 

0.29 

2.58 

69 

2.07 

18.86 

31 

6.9 

1.30 

0.31 

2.59 

7.0 

14.70 

5.12 

0.28 

3.0 

70 

2.19 

18.96 

30 

7.1 

14.59 

5.04 

0.26 

2.9 

7.0 

1.27 

0.33 

2.59 

71 

2.31 

19.07 

29 

7.2 

14.48 

4.97 

0.24 

2.8 

7.1 

1.24 

0.35 

2.60 

72 

2.44 

19.17 

28 

7.3 

14.37 

4.90 

0.23 

2.7 

7.2 

1.21 

0.37 

2.60 

73 

2.57 

19.27 

27 

7.4 

14.26 

4.82 

0.21 

2.6 

7.3 

1.18 

0.39 

2.60 

74 

2.70 

19.36 

26 

7.4 

1.15 

0.41 

2.60 

7.5 

14.15 

4.75 

0.19 

2.5 

75 

2.83 

19.45 

25 

7.6 

14.04 

4.68 

0.18 

2.4 

7.5 

1.12 

0.43 

2.60 

76 

2.97 

19.54 

24 

7.7 

13.93 

4.60 

0.16 

2.3 

7.6 

1.09 

0.45 

2.60 

77 

3.11 

19.62 

23 

7.8 

13.82 

4.53 

0.15 

2.2 

7.7 

1.06 

0.47 

2.60 

78 

3.25 

19.70 

22 

7.9 

13.71 

4.46 

0.14 

2.1 

7.8 

1.04 

0.50 

2.60 

79 

3.39 

19.78 

21 

7.9 

1.01 

0.52 

2.60 

* 

8.0 

13.60 

4.39 

0.13 

2.0 

80 

3.54 

19.86 

20 

8.1 
8.2 
8.3 
8.4 

13.49 
13.38 
13.27 
13.16 

4.32 
4.25 
4.18 
4.11 

0.12 
0.11 
0.10 
0.09 

1.9 
1.8 
1.7 
1.6 

8.0 
8.1 

8.2 
8.3 

0.98 
0.95 
0.92 
0.90 

0.54 
0.57 
0.59 
0.62 

2.60 
2.60 
2.59 
2.59 

81 
82 
83 
84 

3.69 
3.84 
3.99 
4.15 

19.93 
20.00 
20.06 
20.12 

19 
18 
17 
16 

8.5 

13.05 

4.05 

0.08 

.5 

8.4 

0.87 

0.64 

2.58 

85 

4.31 

20.18 

15 

8.6 

12.95 

3.98 

0.07 

.4 

86 

4.47 

20.23 

14 

8.7 

12.84 

3.91 

0.06 

.3 

8.5 

0.84 

0.67 

2.58 

87 

4.63 

20.28 

13 

8.8 

12.73 

3.84 

0.05 

.2 

8.6 

0.81 

0.70 

2.57 

88 

4.80 

20.33 

12 

8.9 

12.62 

3.77 

0.04 

.1 

8.7 

0.78 

0.73 

2.56 

89 

4.97 

20.37 

11 

8.8 

0.76 

0.76 

2.55 

9.0 

12.52 

3.71 

0.03 

1.0 

8.9 

0.73 

0.78 

2.54 

90 

5.14 

20.41 

10 

9.1 

12.41 

3.64 

003 

0.9 

91 

5.31 

20.45 

09 

9.2 

12.30 

3.58 

0.02 

0.8 

9.0 

0.70 

0.81 

2.54 

92 

5.48 

20.48 

08 

9.8 

12.20 

3.52 

0.02 

0.7 

9.1 

0.67 

0.84 

2.53 

93 

5.65 

20.51 

07 

9.4 

12.09 

3.45 

0.02 

0.6 

9.2 

0.64 

0.87 

2.52 

94 

5.83 

20.53 

06 

9.3 

0.62 

0.90 

2.51 

9.5 

11.99 

3.39 

0.01 

0.5 

9.4 

0.59 

0.92 

2.50 

95 

6.01 

20.55 

05 

9.6 

11.88 

3.33 

0.01 

0.4 

96 

6.19 

20.57 

04 

9.7 

11.78 

3.26 

0.01 

0.3 

9.5 

0.57 

0.95 

2.48 

97 

6.37 

20.58 

03 

9.8 

11.67 

3.20 

0.00 

0.2 

9.6 

0.54 

0.98 

2.47 

98 

6.55 

20.59 

02 

9.9 

11.57 

3.14 

0.00 

0.1 

9.7 

0.52 

1.01 

2.46 

99 

6.73 

20.60 

01 

10.0 

11.47 

3.08 

0.00 

0.0 

9.8 

0.50 

1.04 

2.44 

100 

6.92 

20.60 

00 

9.9 

0.47 

1.06 

2.43 

Days 

8O 

70 

60 

Days. 

10.0 

0.45 

1.09 

2.42 

Days. 

300 

2OO 

Days. 

273 


TABLE  LXXXVIII.    ARGUMENT  4. 


Equation  =  88".9  -f-  48".9  sin.  z. 


Days.        O 

10 

!20 

30 

40 

SO 

60 

70 

8O 

90 

Hit. 

o.b 

40.00 

40.67 

42.76 

46.22 

50.93 

56.76 

63.55 

71.08 

79.14 

87.48 

0.1 

40.00 

40.68 

42.78 

46.26 

50.98 

56.82 

63.62 

71.15 

79.22 

87.56 

0.2 

40.00 

40.70 

42.81 

46.30 

51.03 

56.88 

63.69 

71.23 

79.30 

87.64 

0.3 

40.00 

40.71 

42.84 

46.34 

51.09 

56.95 

63.76 

71.31 

79.38 

87.73 

0.4 

40.00 

40.73 

42.87 

46.38 

51.14 

57.01 

63.83 

71.39 

79.46 

87.81 

0.5 

40.00 

40.74 

42.90 

46.42 

51.19 

57.07 

63.91 

71.47 

79.55 

87.89 

0.6 

40.00 

40.76 

42.93 

46.46 

51.25 

57.14 

63.98 

71.55 

79.63 

87.98 

0.7 

40.00 

40.77 

42.96 

46.50 

51.30 

57.20 

64.05 

71.63 

79.71 

88.06 

0.8 

40.00 

40.79 

42.99 

46.54 

51.36 

57.27 

64.12 

71.71 

79.79 

88.15 

0.9 

40.00 

40.80 

43.02 

46.58 

51.41 

57.33 

64.19 

71.79 

79.87 

88.23 

1.0 

40.00 

40.82 

43.05 

46.63 

51.47 

57.40 

64.27 

71.87 

79.96 

88.32 

1.1 

40.00 

40.83 

43.08 

46.67 

51.52 

57.46 

64.34 

71.94 

80.04 

88.40 

1.2 

40.00 

40.85 

43.11 

46.71 

51.57 

57.53 

64.41 

72.02 

80.12 

88.48 

1.3 

40.00 

40.86 

43.14 

46.75 

51.63 

57.59 

64.48 

72.10 

80.20 

88.57 

1.4 

40.00 

40.88 

43.17 

46.80 

51.68 

57.66 

64.56 

72.18 

80.29 

88.65 

1.5 

40.01 

40.90 

43.20 

46.84 

51.73 

57.72 

64.63 

72.26 

80.37 

88.74 

1.6 

40.01 

40.91 

43.2.'} 

46.88 

51.79 

57.79 

64.70 

72.34 

80.45 

88.82 

1.7 

40.01 

40.98 

43.2>> 

4f>.93 

51.84 

57.85 

64.78 

72.42 

80.54 

88.90 

1.8 

40.01 

40.94 

43.29 

46.97 

51.90 

57.92 

64.85 

72.50 

80.62 

88.99 

1.9 

40.01 

40.96 

43.32 

47.01 

51.95 

57.98 

64.92 

72.58 

80.70 

89.07 

2.0 

40.02 

40.98 

43.35 

47.06 

52.01 

58.05 

65.00 

72.66 

80.79 

89.16 

2.1 

40.02         40.99 

43.38 

47.10 

52.06 

58.11 

65.07 

72.73 

80.87 

89.24 

2.2 

40.04         41.01 

43.41 

47.14 

52.12 

-  58.18 

65.14 

72.81 

80.95 

89.33 

2.3 

40.02 

41.03 

43.44 

47.19 

52.17 

58.24 

65.22 

72.89 

81.03 

89.41 

2.4 

40.03 

41.04 

43.47 

47.23 

52.23 

58.31 

65.29 

72.97 

81.12 

89.50 

2.5 

40.03 

41.06 

43.50 

47.27 

52.28 

58.37 

65.36 

73.05 

81.20 

89.58 

2.6 

40.03 

41.08 

43.53 

47.32 

52.34 

58.44 

65.44 

73.13 

81.28 

89.67 

2.7 

4004 

41.09 

43.56 

47.36 

52.40 

58.51 

65.51 

73.21 

81.37 

89.75 

2.8 

40.04 

41.11 

43.59 

47.41 

52.45 

58.57 

65.59 

73.29 

81.45 

89.84 

2.9 

40.04 

41.13 

43.62 

47.45 

52.51 

58.64 

65.66 

73.37 

81.53 

89.92 

3.0 

40.05 

41.15 

43.66 

47.50 

52.57 

58.71 

65.74 

73.45 

81.62 

90.01 

3.1 

40.05 

41.16 

43.69 

47.54 

52.62 

58.77 

65.81 

73.53 

81.70 

90.10 

3.2 

40.06 

41.18 

43.72 

47.59 

52.68 

58.84 

65.88 

73.61 

81.78 

90.18 

3.3 

40.06 

41.20 

43.75 

47.63 

52.74 

58.90 

65.96 

73.69 

81.86 

90.27 

3.4 

40.07 

41.22 

43.78 

47.68 

52.79 

58.97 

66.03 

73.77 

81.95 

90.35 

3.5 

40.07 

41.24 

43.82 

47.72 

52.85 

59.04 

66.10 

73.85 

82.03 

90.43 

3.6 

40.08 

41.26 

43.85 

47.77 

52.91 

59.10 

66.18 

73.93 

82.11 

90.52 

3.7 

40.08 

41.28 

43.88 

47.82 

52.96 

59.17 

66.25 

74.01 

82.20 

90.60 

3.8 

40.09 

41.30 

43.91 

47.86 

53.02 

59.24 

66.33 

74.09 

82.28 

90.69 

3.9 

40.09 

41.32 

43.94 

47.91 

53.08 

59.30 

66.40 

74.17 

82.36 

90.77 

4.0 

4010 

41.34 

43.98 

47.96 

53.14 

59.37 

66.48 

74.25 

82.45 

90.85 

4.1 

40.10 

41.36 

44.01 

48.00 

53.19 

59.44 

66.66 

74.88 

82.53 

90.94 

4.2 

40.11 

41.38 

44.04 

48.05 

53.25 

59.50 

66.63 

74.41 

82.61 

91.02 

4.3 

40.11 

41.40 

44.08 

48.09 

53.31 

59.57 

66.70 

74.49 

82.70 

91.11 

4.4 

40.  12 

41.42 

44.11 

48.14 

53.37 

59.64 

66.78 

74.57 

82.78 

91.19 

4.5 

40.12 

41.44 

44.14 

48.18 

53.43 

59.71 

66.85 

74.65 

82.86 

91.28 

4.6 

40.13 

41.46 

44.18 

48.23 

53.48 

59.77 

66.93 

74.73 

82.95 

91.36 

4.7 

40.11 

41.48 

44.21 

48.28 

58  JM 

59.84 

67.00 

74.81 

83.03 

91.44 

4.8 

40.14 

41.50 

44.25 

48.32 

53.60 

59.91 

67.08 

74.89 

83.12 

91.53 

L9 

U>.  16 

41.09 

44.28 

48.37 

53.66 

59.98 

67.15 

74.97 

83.20 

!)l.(il 

5.0 

40.16 

n.r.i 

44.32 

48.42 

53.72 

60.05 

67.23 

75.06 

83.29 

91.69 

274 


TABLE  LXXXVIII.    ARGUMENT  4. 


Equation  =  88".9  -f-  48".9  sin.  z. 


Days.        O 

10 

30 

30 

4O 

5O 

6O 

70 

80 

9O 

Days. 

II 

II 

II 

(f 

II 

II 

it 

II 

„ 

II 

5.0 

40.16 

41.54 

44.32 

48.42 

53.72 

60.05 

67.23 

75.06 

83.29 

91.69 

5.1 

40.16 

41.56 

44.35 

48.46 

53.77 

60.11 

67.30 

75.14 

83.37 

91.78 

5.2 

40.17 

41.58 

44.39 

48.51 

53.83 

60.18 

67.38 

75.22 

83.45 

91.86 

5.3 

40.18 

41.60 

44.42 

48.56 

53.89 

.     60.25 

67.45 

75.30 

83.54 

91.95 

5.4 

40.18 

41.62 

44.46 

48.61 

53.95 

60.32 

67.53 

75.38 

83.62 

92.03 

5.5 

40.19 

41.65 

44.49 

48.66 

54.01 

60.39 

67.61 

75.46 

83.70 

92.11 

5.6 

40.20 

41.67 

44.53 

48.70 

54.07 

60.45 

67.68 

75.54 

83.79 

92.20 

5.7 

40.20 

41.69 

44.57 

48.75 

54.13 

60.52 

67.76 

75.62 

83.87 

92.28 

5.8 

40.21 

41.71 

44.60 

48.80 

54.19 

60.59 

67.83 

75.70 

83.96 

92.37 

5.9 

40.22 

41.73 

44.64 

48.85 

54.25 

60.66 

67.91 

75.78 

84.04 

92.45 

6.0 

40.23 

41.76 

44.68 

48.90 

54.31 

60.73 

67.99 

75.87 

84.13 

92.53 

6.1 

40.23 

41.78 

44.71 

48.94 

54.37 

60.79 

68.06 

75.95 

84.21 

92.62 

6.2 

40.24 

41.80 

44.75 

48.99 

54.43 

60.86 

68.14 

76.03 

84.29 

92.70 

6.3 

40.25 

41.82 

44.78 

49.04 

54.49 

60.93 

68.21 

76.11 

84.37 

92.78 

6.4 

40.26 

41.85 

44.82 

49.09 

54.55 

61.00 

68.29 

76.19 

84.46 

92.87 

6.5 

40.27 

41.87 

44.85 

49.14 

54.61 

61.07 

68.37 

76.27 

84.54 

92.95 

6.6 

40.28 

41.89 

44.89 

49.19 

54.67 

61.14 

68.44 

76.35 

84.62 

93.03 

6.7 

40.29 

41.92 

44.93 

49.24 

54.73 

61.21 

68.52 

76.43 

84.71 

93.12 

6.8 

40.30 

41.94 

44.96 

49.29 

54.79 

61.28 

68.59 

76.51 

84.79 

93.20 

6.9 

40.31 

41.96 

45.00 

49.34 

54.85 

61.35 

68.67 

76.59 

84.87 

93.28 

7.0 

40.32 

41.99 

45.04 

49.39 

54.91 

61.42 

68.75 

76.68 

84.96 

93.36 

7.1 

40.33 

42.01 

45.07 

49.44 

54.97 

61.49 

68.82 

76.76 

85.04 

93.45 

7.2 

40.34 

42.03 

45.11 

49.49 

55.03 

61.56 

68.90 

76.84 

85.12 

93.53 

7.3 

40.35 

42.06 

45.15 

49.54 

55.09 

61.63 

68.98 

76.92 

85.21 

93.62 

7.4 

40.36 

42.08 

45.19 

49.59 

55.15 

61.70 

69.05 

77.00 

85.29 

93.70 

7.5 

40.37 

42.10 

45.23 

49.64 

55.21 

61.77 

69.13 

77.08 

85.37 

93.79 

7.6 

40.38 

42.13 

45.26 

49.69 

55.27 

61.84 

69.21 

77.16 

85.46 

93.87 

7.7 

40.39 

42.15 

45.30 

49.74 

55.33 

61.91 

69.28 

77.24 

85.54 

93.95 

7.8 

40.40 

42.18 

45.34 

49.79 

55.39 

61.98 

69.36 

77.32 

85.63 

94.04 

7.9 

40.41 

42.20 

45.38 

49.84 

55.45 

62.05 

69.44 

77.40 

85.71 

94.12 

8.0 

40.42 

42.23 

45.42 

49.89 

55.52 

62.12 

69.52 

77.49 

85.80 

94.20 

8.1 

40.43 

42.25 

45.45 

49.94 

55.58 

62.19 

69.59 

77.57 

85.88 

94.29 

8.2 

40.44 

42.28 

45.49 

49.99 

55.64 

62.26 

69.67 

77.65 

85.96 

94.37 

8.3 

40.15 

42.30 

45.53 

50.04 

55.70 

62.33 

69.75 

77.73 

86.05 

94.46 

8.4 

40.46 

42.33 

45.57 

50.09 

55.76 

62.40 

69.83 

77.81 

86.13 

94.54 

8.5 

40.48 

42.35 

45.61 

50.14 

55.83 

62.47 

69.91 

77.90 

86.21 

94.63 

8.6 

40.49 

42.38 

45.65 

50.19 

55.89 

62.54 

69.98 

77.98 

86.30 

94.71 

8.7 

40.50 

42.41 

45.69 

50.24 

55.95 

62.61 

70.06 

78.06 

86.38 

94.79 

8.8 

40.51 

42.43 

45.73 

50.29 

56.01 

62.68 

70.14 

78.14 

86.47 

94.88  . 

8.9 

40.52 

42.46 

45.77 

50.34 

56.07 

62.75 

70.22 

78.22 

86.55 

94.96 

9.0 

4054 

42.49 

45.81 

50.40 

56.14 

62.83 

70.30 

78.31 

86.64 

95.04 

9.1 

40.55 

42.51 

45.85 

50.45 

56.20 

62.90 

70.37 

78.39 

86.72 

95.13 

9.2 

40.56 

42.54 

45.89 

50.50 

56.26 

62.97 

70.45 

78.47 

86.80 

95.21 

9.3 

40.58 

42.57 

45.93 

50.55 

56.32 

63.04 

70.53 

78.55 

86.89 

95.29 

9.4 

40.59 

42.59 

45.97 

50.61 

56.38 

63.11 

70.61 

78.64 

86.97 

95.38 

9.5 

40.60 

42.62 

46.01 

50.66 

56.45 

63.19 

70.69 

78.72 

87.05 

95.46 

9.6 

40.62 

42.65         46.05 

50.71 

56.51        6326 

70.76 

78.80 

87.14 

95.54 

9.7 

40.63 

42.67         46.09 

50.77 

56.57        63.33 

70.84 

78.89 

87.22 

95.63 

9.8 

40.64 

42.70 

46.13 

50.82 

56.63 

63.40 

70.92 

78.97 

87.31 

95.71 

9.9 

40.65 

42.73 

46.17 

50.87 

56.69 

63.47 

71.00 

79.05 

87.39 

95.79 

10.0 

40.67 

42.76         46.22 

50.93 

56.761       63.55 

71.08 

79.14 

87.48 

95.87 

275 


TABLE  LXXXVIII.    ARGUMENT  4. 


Equation  =  88".9  +  48".9  sin.  *. 


Days. 

100 

110 

130 

130 

140 

1.1O 

16O 

17O 

ISO 

Days. 

0.0 

95.87 

104.05 

111.79 

118.85 

125.02 

130.13 

134.02 

136.58 

137.73 

0.1 

95.96 

104.13 

111.87 

118.92 

125.08 

130.18 

134.06 

136.60 

137.74 

0.2 

96.04 

104.21 

111.94 

118.99 

125.14 

130.22 

134.09 

136.62 

137.74 

0.3 

96.12 

104.29 

112.02 

1  19.05 

125.19 

130.27 

134.12 

136.64 

137.75 

0.4 

96.21 

104.37 

112.09 

119.12 

125.25 

130.31 

134.15 

136.66 

137.75 

0.5 

96.29 

104.45 

112.17 

119.19 

125.31 

130.36 

134.18 

136.67 

137.75 

0.6 

96.37 

104.53 

1  12.24 

119.25 

125.36 

130.40 

134.22 

136.69 

137.76 

0.7 

96.46 

104.61 

112.31 

119.32 

125.42 

130.45 

134.25 

136.71 

137.76 

0.8 

96.54 

104.69 

112.39 

119.38 

125.47 

130.49 

134.28 

136.73 

137.76 

0.9 

96.62 

104.77 

112.46 

119.45 

125.53 

130.54 

134.31 

136.75 

137.76 

1.0 

96.70 

104.85 

112.53 

119.51 

125.58 

130.58 

134.34 

136.76 

137.77 

.1 

96.79 

104.93 

112.61 

119.58 

125.64 

130.63 

134.37 

136.78 

137.77 

.2 

96.87 

105.01 

112.68 

119.64 

125.69 

130.67 

134.40 

136.80 

137.77 

.3 

96.95 

105.09 

112.75 

119.71 

125.75 

130.71 

134.43 

136.82 

137.77 

.4 

97.04 

105.17 

112.83 

119.77 

125.80 

130.76 

134.46 

136.83 

137.77 

.5 

97.12 

105.25 

112.90 

119.84 

125.86 

130.80 

134.49 

136.85 

137.78 

.6 

97.20 

105.33 

112.97 

119.90 

125.91 

130.84 

134.52 

136.87 

137.78 

.7 

97.29 

105.41 

118.05 

119.97 

125.97 

130.89 

134.55 

136.88 

137.78 

.8 

97.37 

105.49 

113.12 

120.03 

126.02 

130.93 

134.58 

136.90 

137.78 

.9 

97.45 

105.57 

113.19 

120.10 

126.08 

130.97 

134.61 

136.92 

137.78 

2.0 

97.53 

105.64 

113.26 

120.16 

126.13 

131.01 

134.64 

136.93 

137.79 

2.1 

97.6-2 

105.72 

113.34 

120.23 

126.19 

131.06 

134.67 

136.95 

137.79 

2.2 

97.70 

105.80 

113.41 

120.29 

126.24 

131.10 

134.70 

136.96 

137.79 

2.3 

97.78 

105.88 

113.48 

120.36 

126.30 

131.14 

134.73 

136.98 

137.79 

2.4 

97.87 

105.96 

113.56 

120.42 

126.35 

131.18 

134.76 

136.99 

137.79 

2.5 

97.95 

106.04 

113.63 

120.49 

126.41 

131.22 

134.79 

137.01 

137.80 

2.6 

98.03 

106.12 

113.70 

120.55 

126.46 

131.27 

134.82 

137.02 

137.80 

2.7 

98.12 

106.20 

.  113.78 

120.62 

126  51 

131.31 

134.85 

137.04 

137.80 

2.8 

98.20 

106.28 

113.85 

120.68 

126.57 

131.35 

134.88 

137.05 

137.80 

2.9 

98.28 

106.36 

113.92 

120.74 

126.62 

131.39 

134.91 

137.07 

137.80 

3.0 

98.36 

106.43 

113.99 

120.80 

126.67 

131.43 

134.93 

137.08 

137.80 

3.1 

98.45 

106.51 

114.07 

120.87 

126.73 

131.48 

134.96 

137.10 

137.80 

3.2 

98.53 

106.59 

114.14 

120.93 

126.78 

131.52 

134.99 

137.11 

137.80 

3.3 

98.61 

106.67 

114.21 

120.99 

126.83 

131.56 

135.02 

137.12 

137.80 

3.4 

98.69 

106.75 

114.28 

121.06 

126.89 

131.60 

135.05 

137.14 

137.80 

3.5 

98.77 

106.82 

114.35 

121.12 

126.94 

131.64 

135.07 

137.15 

137.80 

3.6 

98.86 

106.90 

1  1  I.  i:: 

121.18 

126.99 

131.68 

135.10 

137.16 

137.79 

3.7 

98.94 

106.98 

114.50 

121.25 

127.05 

131.72 

135.13 

137.18 

137.79 

3.8 

99.02 

107.06 

114.57 

121.31 

127.10 

131.76 

135.16 

137.19 

137.79 

3.9 

99.10 

107.11 

1  14.64 

121.37 

127.15 

131.80 

135.19 

137.20 

137.79 

4.0 

99.18 

107.21 

114.71 

121.43 

127.20 

131.84 

135.21 

137.21 

137.79 

4.1 

99.27 

107.29 

1  14.79 

121.50 

127.26 

j:n.H8 

135.24 

137.23 

137.78 

4.2 

M.K, 

107.37 

1  14.86 

121.56 

127.31 

131.92 

135.27 

137.24 

137.78 

4.3 

99.43 

107.45 

1  14.93 

121.62 

127.36 

131.96 

135.29 

137.25 

137.78 

4.4 

99.51 

107.53 

115.00 

121.69 

127.41 

132.00 

135.32 

137.27 

137.78 

4.5 

!M).5!) 

107.60 

115.07 

121.75 

127.46 

132.04 

LS&Sfi 

137.28 

137.78 

4.6 

99.68 

107.68 

115.14 

121.81 

127.52 

132.08 

186.87 

137.29 

137.77 

4.7 

!)!).7fi 

107.7(5 

115.21 

121.88 

127.57 

132.12 

186.40 

137.31 

137.77 

I  > 

99.84 

107.  HI 

115.28 

121.94 

127.62 

132.16 

135.42 

137.32 

137.77 

4.9 

99.92 

I07.92 

116.88 

122.00 

127.67 

132.20 

186.46 

137.33 

137.77 

5.0 

100.00 

107.99 

115.42 

122.06 

127.72 

132.21 

135.47 

137.34 

137.77 

276 


TABLE  LXXXVIII.    ARGUMENT  4. 

Equation  =  88".9  +  48".9  sin.  *. 


Days.   100 

no 

130 

130 

140 

130 

16O 

17O 

180 

llavs. 

5.0 

100.00 

107.99 

115.42 

122.06 

127.72 

132.24 

135.47 

137.34 

137.77 

5.1 

100.09 

108.07 

115.49 

122.13 

127.78 

132.28 

135.50 

137.36 

137.76 

5.2 

100.17 

108.15 

115.56 

122.19 

127.83 

132.32 

135.52 

137.37 

137.76 

5.3 

100.25 

108.23 

115.63 

122.25 

127.88 

132.36 

135.55 

137.38 

137.76 

5.4 

100.33 

108.30 

115.70 

122.31 

127.93 

132.40 

135.57 

137.39 

137.76 

5.5 

100.41 

108.38 

115.77 

122.37 

127.98 

132.43 

135.60 

137.40 

137.75 

5.6 

100.50 

108.46 

115.84 

122.43 

128.03 

132.47 

135.62 

137.41 

137.75 

5.7 

100.58 

108.53 

115.91 

122.49 

128.08 

132.51 

13565 

137.42 

137.75 

5.8 

100.66 

108.61 

115.98 

122.55 

128.13 

132.55 

135.67 

137.43 

137.74 

5.9 

100.74 

108.69 

116.05 

122.61 

128.18 

132.59 

135.70 

137.44 

137.74 

6.0 

100.82 

108.76 

116.12 

122.67 

128.23 

132.62 

135.72 

137.45 

137.73 

6.1 

100.91 

108.84 

116.19 

122.73 

128.28 

132.66 

135.75 

137.46 

137.72 

6.2 

100.99 

108.92 

116.26 

122.79 

128.33 

132.70 

135.77 

137.47 

137.72 

6.3 

101.07 

109.00 

116.33 

122.85 

128.38 

132.74 

135.80 

137.48 

137.71 

6.4 

101.15 

109.07 

116.40 

122.91 

128.43 

132.77 

135.82 

137.49 

137.71 

6.5 

101.23 

109.15 

116.47 

122.97 

128.48 

132.81 

135.85 

137.50 

137.70 

6.6 

101.31 

109.23 

116.54 

123.03 

128.53 

132.85 

135.87 

137.51 

137.70 

6.7 

101.39 

109.30 

116.61 

123.09 

128.58 

132.88 

135.89 

137.52 

137.69 

6.8 

101.47 

109.38 

116.68 

123.15 

128.63 

132.92 

135.92 

137.53 

137.69 

6.9 

101.55 

109.46 

116.75 

123.21 

128.68 

132.96 

135.94 

137.54 

137.68 

7.0 

101.63 

109.53 

116.81 

123.27 

128.72 

132.99 

135.96 

137.54 

137.68 

7.1 

101.72 

109.61 

116.88 

123.33 

128.77 

133.03 

135.99 

137.55 

137.67 

7.2 

101.80 

109.69 

116.95 

123.39 

128.82 

133.07 

136.01 

137.56 

137.67 

7.3 

101.88 

109.76 

117.02 

123.45 

128.87 

133.10 

136.03 

137.57 

137.66 

7.4 

101.96 

109.84 

117.09 

123.51 

128.92 

133.14 

136.05 

137.58 

137.65 

7.5 

102.01 

109.92 

117.16 

123.57 

128.9R 

133.18 

13G.07 

137.53 

137.65 

7.6 

102.12 

109.99 

117.  23 

123.63 

129.01 

133.21 

136.10 

137.59 

137.64 

7.7 

102.20 

110.07 

117.30 

123.69 

129.06 

133.25 

136.12 

137.60 

137.64 

7.8 

102.28 

110.14 

117.37 

123.75 

129.11 

133.28 

136.14 

137.61 

137.63 

•  7.9 

102.36 

110.22 

117.41 

123.81 

129.1ti 

133.32 

136.16 

137.62 

137.63 

8.0 

102.44 

110.29 

117.50 

123.87 

129.21 

133.35 

136.18 

137.62 

137.62 

8.1 

102.5! 

110.37 

117.57    123.i»3 

129.25 

133..  J9 

l.S'1.2  .  i    137.63 

137.62 

8.2 

102.61 

110.44 

117.64 

123.99 

129.30 

133.42 

136.23 

137.63 

137.61 

8.3 

102.69 

110.52 

117.71 

124.05 

129.35 

133.46 

136.25 

137.64 

137.60 

8.4 

102.77 

110.59 

117.78 

124.11 

129.39 

133.49 

136.27 

137.64 

137.59 

8.5 

102.85 

110.67 

1  17.84 

124.16 

129.44 

133.53 

136.29 

137.65 

137.58 

8.6 

102.93 

110.74 

117.91 

124.22 

129.49 

133.56 

136.31 

137.65 

137.58 

8.7 

103.01 

1  10.82 

117.98 

124.28 

129.53 

133.59 

136.33 

137.66 

137.57 

8.8 

103.09 

110.89 

118.05 

124.34 

129.58 

133.63 

136.35 

137.67 

137.56 

8.9 

103.17 

110.97 

118.12 

124.40 

129.63 

133.66 

136.37 

137.67 

137.55 

9.0 

103.25 

111.04 

118.18 

124.45 

129.67 

133.69 

136.39 

137.68 

137.54 

9.1 

103.33 

111.12 

118.25 

124.51 

129.72 

133.73 

136.41 

137.68 

137.54 

9.2 

103.41 

111.19 

118.32 

124.57 

129.77 

133.76 

136.43 

137.69 

137.53 

9.3 

103.49 

111.27 

118.39 

124.63 

129.81 

133.79 

136.45 

137.69 

137.52 

9.4 

103.57 

111.34 

118.45 

124.68 

129.86 

133.83 

136.47 

137.70 

137.51 

9.5 

103.65 

111.42 

118.52 

124.74 

129.91 

133.86 

136.49 

137.70 

137.50 

9.6 

103.73 

111.49 

118.59 

124.80 

129.95 

133.89 

136.51 

137.71 

137.49 

9.7 

103.81 

111.57 

118.65 

124.85 

130.00 

133.93 

136.53    137.71 

137.48 

9.8 

103.89 

111.64 

118.72 

124.91 

130.04 

133.96 

136.55 

137.72 

137.47 

9.9 

103.97 

111.72    118.79 

124.97 

130.09 

133.99 

136.57 

137.72 

137.46 

10.0 

104.05    111.79    118.85 

125.02 

130.13 

134.02 

136.58 

137.73 

137.45 

277 


TABLE  LXXXVIII.    ARGUMENT  4. 


Equation  =  88".9  -}-  48".9  sin.  z. 


Days. 

190 

300 

«IO 

22O 

230 

24O 

350 

36O 

37O 

Days. 

0.0 

137.45 

135.72 

132.62 

128.23 

122.67 

116.12 

108.76 

100.82 

92.53 

0.1 

137.44 

135.70 

132.59 

128.18 

122.6  1 

116.05 

108.69 

100.74 

92.45 

0.2 

137.43 

135.67 

132.55 

128.13 

122.55 

115.98 

108.61 

100.66 

92.37 

0.3 

137.42 

135.65 

132.51 

128.08 

122.49 

115.91 

108.53 

100.58 

92.28 

0.4 

137.41 

135.62 

132.47 

128.03 

122.43 

115.84 

108.46 

100.50 

92.20 

0.5 

137.40 

135.60 

132.43 

127.98 

122.37 

115.77 

108.38 

100.41 

92.11 

0.6 

137.39 

135.57 

132.40 

127.93 

122.31 

115.70 

108.30 

100.33 

92.03 

0.7 

137.38 

135.55 

132.36 

127.88 

122.25 

115.63 

108.23 

100.25 

91.95 

0.8 

137.37 

135.52 

132.32 

127.83 

122.19 

115.56 

108.15 

100.17 

91.86 

0.9 

137.36 

135.50 

132.28 

127.78 

122.13 

115.49 

108.07 

100.09 

91.78 

1.0 

137.34 

135.47 

132.24 

127.72 

122.06 

115.42 

107.99 

100.00 

91.69 

.1 

137.33 

135.45 

132.20 

127.67 

122.00 

115.35 

107.92 

99.92 

91.61 

.2 

137.32 

135.42 

132.16 

127.62 

121.94 

11528 

107.84 

99.84 

91.53 

.3 

137.31 

135.40 

132.12 

127.57 

121.88 

115.21 

107.76 

99.76 

91.44 

.4 

137.29 

135.37 

132.08 

127.52 

121.81 

115.14 

107.68 

99.68 

91.36 

.5 

137.28 

135.35 

132.04 

127.46 

121.75 

115.07 

107.60 

99.59 

91.28 

.6 

137.27 

135.32 

132.00 

127.41 

121.69 

115.00 

107.53 

99.51 

91.19 

.7 

137.25 

135.29 

131.96 

127.36 

121.62 

114.93 

107.45 

99.43 

91.11 

.8 

137.24 

135.27 

131.92 

127.31 

121.56 

1  14.86 

107.37 

99.35 

91.02 

1.9 

137.23 

135.24 

131.88 

127.26 

121.50 

1J4.79 

107.29 

99.27 

90.94 

2.0 

137.21 

135.21 

131.84 

127.20 

121.43 

114.71 

107.21 

99.18 

90.85 

2.1 

137.20 

135.19 

131.80 

127.15 

121.37 

114.64 

107.14 

99.10 

90.77 

2.2 

137.19 

135.16 

131.76 

127.10 

121.31 

114.57 

107.06 

99.02 

90.69 

2.3 

137.18 

135.13 

131.72 

127.05 

121.25 

114.50 

106.98 

98.94 

90.60 

2.4 

137.16 

135.10 

131.68 

126.99 

121.18 

114.43 

106.90 

98.86 

90.52 

2.5 

137.15 

135.07 

131.64 

126.94 

121.12 

1  14.35 

106.82 

98.77 

90.43 

2.6 

137.14 

135.05 

131.60 

126.89 

121.06 

1  14.28 

106.75 

98.69 

90.35 

2.7 

137.12 

135.02 

131.56 

126.83 

120.99 

114.21 

106.67 

98.61 

90.27 

2.8 

137.11 

134.99 

131.52 

126.78 

120.93 

114.14 

106.59 

98.53 

90.18 

2.9 

137.10 

134.96 

131.48 

126.73 

120.87 

114.07 

106.51 

98.45 

90.10 

3.0 

137.08 

ISAM 

131.43 

126.67 

120.80 

113.99 

106.43 

98.36 

90.01 

3.1 

137.07 

131.91 

131.39 

126.62 

120.74 

1  13.92 

106.36 

98.28 

89.92 

3.2 

137.05 

134.88 

131.35 

126.57 

120.68 

113.85 

106.28 

98.20 

89.84 

3.3 

137.01 

134.85 

131.31 

126.51 

120.62 

1  13.78 

106.20 

98.12 

89.75 

3.4 

137.02 

134.82 

131.27 

126.46 

120.55 

1  13.70 

106.12 

98.03 

89.67 

3.5 

137.01 

131.79 

131.22 

126.41 

120.49 

113.63 

106.04 

97.95 

89.58 

3.6 

136.99 

131.76 

131.18 

126.35 

120.42 

113.56 

105.96 

97.87 

89.60 

3.7 

136.98 

134.73 

131.14 

126.30 

120.36 

1  13.48 

105.88 

97.78 

89.41 

3.8 

136.96 

134.70 

131.10 

126.24 

120.28 

118.41 

105.80 

97.70 

89.83 

3.9 

136.95 

134.67 

131.06 

126.19 

120.23 

113.34 

105.72 

97.62 

89.24 

4.0 

136.93 

131.64 

131.01 

126.13 

120.16 

113.26 

105.64 

97.53 

89.16 

4.1 

186.93 

131.61 

130.97 

126.08 

120.10 

113.19 

106.53 

97.45 

89.07 

4.2 

L8&M 

i:il.:.s 

130.93 

126.02 

120.03 

113.12 

105.49 

97.37 

HN.it!) 

4.3 

136.88 

131.55 

130.89 

125.97 

119.97 

113.05 

105.41 

97.29 

88.90 

1.1 

13G.87 

131.52 

130.84 

126.91 

1  19.90 

112.97 

105.33 

97.20 

88.82 

4.5 

136.85 

184.46 

130.80 

125.86 

1  19.8-1 

1  12.90 

105.86 

97.12 

88.74 

4.6 

136.83 

131.16 

180.76 

126.80 

119.77 

1  12.83 

106.17 

97.04 

88,66 

4.7 

136.82 

134.48 

130.71 

126.75 

119.71 

1  12.75 

105.09 

96.95 

88.57 

4.8 

136.80 

131.40 

130.67 

125.69 

119.61 

1  12.68 

l().r).()l 

96.87 

88.48 

4.9 

136.7H 

131.37 

130.63 

125.64 

119.58 

112.61 

104.98 

96.79 

88.40 

5.0 

188.78 

131.31 

130.58 

125.58 

119.51 

1  12.53 

104.85 

96.70 

88.32 

278 


TABLE  LXXXVIII.    ARGUMENT  4. 


Equation  =  88".9  -J-  48".9  sin.  z. 


Days.       190 

2OO 

21O 

220 

2»O 

24O 

MO 

360 

270 

Haya. 

5.0 

136.76 

134.34 

130.58 

125.58 

119.51 

112.53 

104.85 

96.70 

88.32 

5.1 

136.75 

134.31 

130.54 

125.53 

119.45 

112.46 

104.77 

96.62 

88.23 

5.2 

136.73 

134.28 

130.49 

125.47 

119.38 

112.39 

104.69 

96.54 

88.15 

5.3 

136.71 

134.25 

130.45 

125.42 

119.32 

112.31 

104.61 

96.46 

88.06 

5.4 

136.69 

134.22 

130.40 

125.36 

119.25 

1  12.24 

104.53 

96.37 

87.98 

5.5 

136.67 

134.18 

130.36 

125.31 

119.19 

112.17 

104.45 

96.29 

87.89 

5.6 

136.66 

134.15 

130.31 

125.25 

119.12 

112.09 

104.37 

96.21 

87.81 

5.7 

136.64 

134.12 

130.27 

125.19 

119.05 

112.02 

104.29 

96.12 

87.73 

5.8 

136.62 

134.09 

130.22 

125.14 

118.99 

111.94 

104.21 

96.04 

87.64 

5.9 

136.60 

134.06 

130.18 

125.08 

118.92 

111.87 

104.13 

95.96 

87.56 

6.0 

136.58 

134.02 

130.13 

125.02 

118.85 

111.79 

104.05 

95.87 

87.48 

6.1 

136.57 

133.99 

130.09 

124.97 

118.79 

111.72 

103.97 

95.79 

87.39 

6.2 

136.55 

133.96 

130.04 

124.91 

118.72 

111.64 

103.89 

95.71 

87.31 

6.3 

136.53 

133.93 

130.00 

124.85 

118.65 

111.57 

103.81 

95.63 

87.22 

6.4 

136.51 

133.89 

129.95 

124.80 

118.59 

111.49 

103.73 

95.54 

87.14 

6.5 

136.49 

133.86 

129.91 

124.74 

118.52 

111.42 

103.65 

95.46 

87.05 

6.6 

136.47 

133.83 

129.86 

124.68 

118.45 

111.34 

103.57 

95.38 

86.97 

6.7 

136.45 

133.79 

129.81 

124.63 

118.39 

111.27 

103.49 

95.29 

86.89 

6.8 

136.43 

133.76 

129.77 

121.57 

118.32 

111.19 

103.41 

95.21 

86.80 

6.9 

136.41 

133.73 

129.72 

124.^ 

1  18.25 

111.12 

103.33 

95.13 

86.72 

7.0 

136.39 

133.69 

129.67 

124.45 

118.18 

111.04 

103.25 

95.04 

86.64 

7.1 

136.37 

133.66 

129.63 

124.40 

118.12 

110.97 

103.17 

94.96          86.55 

7.2 

136.35 

133.63 

129.58 

124.34 

118.05 

110.89 

103.09 

94.88 

86.47 

7.3 

136.33 

133.59 

129.53 

124.28 

117.98 

110.82 

103.01 

94.79 

86.38 

7.4 

136.31 

133.56 

129.49 

124.22 

117.91 

110.74 

102.93 

94.71 

86.30 

7.5 

136.29 

133.53 

129.44 

124.16 

117.84 

110.67 

102.R5 

94.C53 

86.21 

7.6 

136.27 

133.49 

129.39 

121.11 

117.78 

110.59 

102.7  ", 

94.54          86.13 

7.7 

136.25 

133.46 

129.35 

124.05 

117.71 

110.52 

102.69 

94.46          86.05 

7.8 

136.23 

133.42 

129.30 

123.99 

117.64 

110.44 

102.61 

94.37 

85.96 

7.9 

136.21 

133.39 

129.25 

123.93 

117.57 

110.37 

102.53 

94.29 

85.88 

8.0 

136.18 

133.35 

129.20 

123.87 

117.50 

110.29 

102.44 

94.20 

85.80 

8.1 

136.16 

13S.82 

129.  Hi 

123.S1 

117.44 

110.22 

10.'.3>:           94.12 

85.71 

8.2 

136.14 

133.28 

129.11 

123.75 

117.37 

110.14 

102.28 

94.04 

85.63 

8.3 

136.12 

133.25 

129.06 

123.69 

117.30 

110.07 

102.20 

93.95 

85.54 

8.4 

136.10 

133.21 

129.01 

123.63 

1  17.23 

109.99 

102.12 

93.87 

85.46 

8.5 

136.07 

133.18 

128.96 

123.57 

117.16 

109.92 

102.04 

93.79 

85.37 

8.6 

136.05 

133.14 

128.92 

123.51 

117.09 

109.84 

101.96 

93.70 

85.29 

8.7 

136.03 

133.10 

128.87 

123.45 

1  17.02 

109.76 

101.88 

93.62 

85.21 

8.8 

136.01 

133.07 

128.82 

123.39 

116.95 

109.69 

101.80 

93.53 

85.12 

8.9 

135.99 

133.03 

128.77 

123.33 

.      116.88 

109.61 

101.72 

93.45 

85.04 

9.0 

135.96 

132.99 

128.72 

123.27 

116.81 

109.53 

101.63 

93.36 

84.96 

9.1 

135.94 

132.96 

128.68 

123.21 

116.75 

109.46 

101.55 

93.28 

84.87 

9.2 

135.92 

132.92 

128.63 

123.15 

116.68 

109.38 

101.47 

93.20 

84.79 

9.3 

135.89 

132.88 

128.58 

123.09 

116.61 

109.30 

101.39 

93.12 

84.71 

9.4 

135.87 

132.85 

128.53 

123.03 

116.54 

109.23 

101.31 

93.03 

84.62 

9.5 

135.85 

132.81 

128.48 

122.97 

116.47 

109.15 

101.23 

92.95 

84.54 

9.6 

135.82 

132.77 

128.43 

122.91 

116.40 

109.07 

101.15           92.87 

84.46 

9.7 

135.80 

132.74 

128.38 

122.85 

116.33 

109.00 

101.07           92.78 

84.37 

9.8 

135.77 

132.70 

128.33 

122.79 

116.26 

108.92 

100.99           92.70 

84.29 

9.9 

135.75 

132.66 

128.28 

122.73 

116.19 

108.84 

100.91 

92.62 

84.21 

10.0 

135.72 

132.62 

128.23 

122.67 

116.12 

108.76 

100.82 

92.53 

84.13 

i 

279 


TABLE  LXXXVIII.    ARGUMENT  4. 


Equation  =  88".9  -f-  48".9  sin  z. 


Days.      2SO 

2OO 

3OO 

310 

390 

33O 

34O 

350 

360 

Days. 

0.0 

84.13 

75.87 

67.99 

60.73 

54.31 

48.90 

44.68 

41.76 

40.23 

0.1 

84.04 

75.78 

67.91 

60.66 

54.25 

48.85 

44.64 

41.73 

40.22 

0.2 

83.96 

75.70 

67.83 

60.59 

54.19 

48.80 

44.60 

41.71 

40.21 

0.3 

83.87 

75.62 

67.76 

60.52 

54.13 

48.75 

44.57 

41.69 

40.20 

0.4 

83.79 

75.54 

67.68 

60.45 

54.07 

48.70 

44.53 

41.67 

40.20 

0.5 

83.70 

75.46 

67.61 

60.39 

54.01 

48.66 

44.49 

41.65 

40.19 

0.6 

83.62 

75.38 

67.53 

60.32 

53.95 

48.61 

44.46 

41.62 

40.18 

0.7 

83.54 

75.30 

67.45 

60.25 

53.89 

48.56 

44.42 

41.60 

40.18 

0.8 

83.45 

75.22 

67.38 

60.18 

53.83 

48.51 

44.39 

41.58 

40.17 

0.9 

83.37 

75.14 

67.30 

60.11 

53.77 

48.46 

44.35 

41.56 

40.16 

1.0 

83.29 

75.06 

67.23 

60.05 

53.72 

48.42 

44.32 

41.54 

40.16 

1.1 

83.20 

74.97 

67.15 

59.98 

53.66 

48.37 

44.28 

41.52 

40.15 

1.2 

83.12 

74.89 

67.08 

59.91 

53.60 

48.32 

44.25 

41.50 

40.14 

1.3 

83.03 

74.81 

67.00 

59.84 

53.54 

48.28 

44.21 

41.48 

40.14 

1.4 

82.95 

74.73 

66.93 

59.77 

53.48 

48.23 

44.18 

41.46 

40.13 

1.5 

82.86 

74.65 

66.85 

59.71 

53.43 

48.18 

44.14 

41.44 

40.12 

1.6 

82.78 

74.57 

66.78 

59.64 

53.37 

48.14 

44.11 

41.42 

40.12 

1.7 

82.70 

74.49 

66.70 

59.57 

53.31 

48.09 

44.08 

41.40 

40.11 

1.8 

82.61 

74.41 

66.63 

59.50 

53.25 

48.05 

44.04 

41.38 

40.11 

1.9 

82.53 

•74.33 

66.55 

59.44 

53.19 

48.00 

44.01 

41.36 

40.10 

2.0 

82.45 

74.25 

66.48 

59.37 

53.14 

47.96 

43.98 

41.34 

40.10 

2.1 

82.36 

74.17 

66.40 

59.30 

53.08 

47.91 

43.94 

41.32 

40.09 

2.2 

82.28 

74.09 

66.33 

59.24 

53.02 

47.86 

43.91 

41.30 

40.09 

2.3 

82.20 

74.01 

66.25 

59.17 

52.96 

47.82 

43.88 

41.28 

40.08 

2.4 

82.11 

73.93 

66.18 

59.10 

52.91 

47.77 

43.85 

41.26 

40.08 

2.5 

82.03 

73.85 

66.10 

59.04 

52.85 

47.72 

43.82 

41.24 

40.07 

2.6 

81.95 

73.77 

66.03 

58.97 

52.79 

47.68 

43.78 

41.22 

40.07 

2.7 

81.86 

73.69 

65.96 

58.90 

52.74 

47.63 

43.75 

41.20 

40.06 

2.8 

81.78 

73.61 

65.88 

58.84 

52.68 

47.59 

43.72 

41.18 

40.06 

2.9 

81.70 

73.53 

65.81 

58.77 

52.62 

47.54 

43.69 

41.16 

40.05 

3.0 

81.62 

73.45 

65.74 

58.71 

52.57 

47.50 

43.66 

41.15 

40.05 

3.1 

81.53 

73.37 

65.66 

58.64 

52.51 

47.45 

43.62 

41.13 

'10.01 

3.2 

81.45 

73.29 

65.59 

58.57 

52.45 

47.41 

43.59 

41.11 

40.04 

3.3 

81.37 

73.21 

65.51 

58.51 

52.40 

47.36 

43.56 

41.09 

40.04 

3.4 

81.28 

73.13 

65.44 

58.44 

52.34 

47.32 

43.53 

41.08 

40.03 

3.5 

81.20 

73.05 

<;.->.:«; 

58.37 

52.28 

47.27 

43.50 

41.06 

40.03 

3.6 

81.12 

72.97 

65.29 

r>H.:i  i 

52.23 

47.23 

43.47 

41.04 

40.03 

3.7 

81.03 

72.89 

65.22 

58.24 

52.17 

47.19 

43.44 

41.03 

40.02 

3.8 

80.95 

72.81 

65.14 

58.18 

52.12 

47.14 

48.41 

41.01 

40.02 

3.9 

80.87 

72.73 

65.07 

58.11 

52.06 

47.10 

43.38 

40.99 

40.02 

4.0 

80.79 

72.66 

65.00 

58.05 

52.01 

47.06 

48.36 

40.98 

40.02 

4.1 

80.70 

72.58 

64.92 

57.98 

51.95 

47.01 

43.32 

40.96 

40.01 

4.2 

80.62 

72.50 

64.88 

57.92 

51.90 

46.97 

.13.29 

40.94 

10.01 

4.3 

80.54 

7-J  I-.' 

64.78 

57.M5 

51.84 

46.93 

43.26 

40.93 

40.01 

4.4 

80.45 

78.84 

64.70 

57.79 

51.79 

46.88 

4&3S 

40.91 

40.01 

4.5 

80.37 

72.26 

64.63 

57.78 

51.73 

46.84 

43.20 

40.90 

40.01 

4.6 

M£9 

72.18 

64.56 

57.66 

51.68 

46.80 

43.17 

40.88 

40.00 

4.7 

80.20 

72.10 

64.48 

67.69 

51.63 

46.75 

43.14 

40.86 

40.00 

4.8 

M.I2 

72.02 

iil.ll 

57.53 

51.57 

46.71 

43.11 

40.85 

40.00 

4.9 

NO.OI 

71.94 

64.34 

57.46 

51.52 

46.67 

43.08 

40.8.'! 

40.00 

5.0 

79.96 

71.87          64.27 

57.  10 

51.47 

46.63 

43.05 

40.82 

40.00 

2MO 


TABLE  LXXXVIII.    ARGUMENT  4. 


Equation  =  88".9  +  48".9  sin  z. 


Days.      98O 

29O 

3OO 

310 

32O 

330 

34O 

3oO 

360 

[)ays. 

5.0 

79.96 

71.87 

64.27 

57.40 

51.47 

46.63 

43.05 

40.82 

40.00 

5.1 

79.87 

71.79 

64.19 

57.33 

51.41 

46.58 

43.02 

40.80 

40.00 

5.2 

79.79 

71.71 

64.12 

57.27 

51.36 

46.54 

42.99 

40.79 

40.00 

5.3 

79.71 

71.63 

64.05 

57.20 

51.30 

46.50 

42.96 

40.77 

40.00 

5.4 

79.63 

71.55 

63.98 

57.14 

51.25 

46.46 

42.93 

40.76 

40.00 

5.5 

79.55 

71.47 

63.91 

57.07 

51.19 

46.42 

42.90 

40.74 

40.00 

5.6 

79.46 

71.39 

63.83 

57.01 

51.14 

46.38 

42.87 

40.73 

40.00 

5.7 

79.38 

71.31 

63.76 

56.95 

51.09 

46.34 

42.84 

40.71 

40.00 

5.8 

79.30 

71.23 

63.69 

56.88 

51.03 

46.30 

42.81 

40.70 

40.00 

5.9 

79.22 

71.15 

63.62 

56.82 

50.98 

46.26 

42.78 

40.69 

40.00 

6.0 

79.14 

71.08 

63.55 

56.76 

50.93 

46.22 

42.76 

40.67 

40.00 

6.1 

79.05 

71.00 

63.47 

56.69 

50.87 

46.17 

42.73 

40.65 

40.00 

6.2 

78.97 

70.92 

63.40 

56.63 

50.82 

46.13 

42.70 

40.64 

40.00 

6.3 

78.89 

70.84 

63.33 

56.57 

50.77 

46.09 

42.67 

40.63 

"     40.00 

6.4 

78.80 

70.76 

63.26 

56.51 

50.71 

46.05 

42.65 

40.62 

40.00 

6.5 

78.72 

70.69 

63.19 

56.45 

50.66 

46.01 

42.62 

40.60 

40.00 

6.6 

78.64 

70.61 

63.11 

56.38 

50.61 

45.97 

42.59 

40.59 

40.00 

6.7 

78.55 

70.53 

63.04 

56.32 

50.55 

45.93 

42.57 

40.58 

40.00 

6.8 

78.47 

70.45 

62.97 

56.26 

50.50 

45.89 

42.54 

40.56 

40.01 

6.9 

78.39 

70.37 

62.90 

56.20 

50.45 

45.85 

42.51 

40.55 

40.01 

7.0 

78.31 

70.30 

62.83 

56.14 

50.40 

45.81 

42.49 

40.54 

40.01 

7.1 

78.22 

70.22 

62.75 

56.07 

50.34 

45.77 

42.46 

40.52 

40.01 

7.2 

78.14 

70.14 

62.68 

56.01 

50.29 

45.73 

42.43 

40.51 

40.01 

7.3 

78.06 

70.06 

62.61 

55.95 

50.24 

45.69 

42.41 

40.50 

40.02 

7.4 

77.98 

69.98 

62.54 

55.89 

50.19 

45.65 

42.38 

40.49 

4002 

7.5 

77.90 

69.91 

62.47 

55.83 

50.14 

45.61 

42.35 

40.48 

40.02 

7.6 

77.81 

69.83 

62.40 

55.76 

50.09 

45.57 

42.33 

40.46 

40.02 

7.7 

77.73 

69.75 

62.33 

55.70 

50.04 

45.53 

42.30 

40.45 

40.03 

7.8 

77.65 

69.67 

62.26 

55.64 

49.99 

45.49 

42.28 

40.44 

4003 

7.9 

77.57 

69.59 

62.19 

55.58 

49.94 

45.45 

42.25 

40.43 

40.03 

8.0 

77.49 

69.52 

62.12 

55.52 

49.89 

45.42 

42.23 

40.42 

40.04 

8.1 

77.40 

69.44 

62.05 

55.45 

49.84 

45.38 

42.20 

40.41 

40.04 

8.2 

77.32 

69.36 

61.98 

55.39 

49.79 

45.34 

42.18 

40.40 

40.04 

8.3 

77.24 

69.28 

61.91 

55.33 

49.74 

45.30 

42.15 

40.39 

40.05 

8.4 

77.16 

69.21 

61.84 

55.27 

49.69 

45.26 

42.13 

40.38 

40.05 

8.5 

77.08 

69.13 

61.77 

55.21 

49.64 

45.23 

42.10 

40.37 

40.06 

8.6 

77.00 

69.05 

61.70 

55.15 

49.59 

45.19 

42.08 

40.36 

40.06 

8.7 

76.92 

68.98 

61.63 

55.09 

49.54 

45.15 

42.06 

40.35 

40.07 

8.8 

76.84 

68.90 

61.56 

55.03 

49.49 

45.11 

42.03 

40.34 

40.07 

8.9 

76.76 

68.82 

61.49 

54.97 

49.44 

45.07 

42.01 

40.33 

40.08 

9.0 

76.68 

68.75 

61.42 

54.91 

49.39 

45.04 

41.99 

40.32 

40.08 

9.1 

76.59 

68.67 

61.35 

54.85 

49.34 

45.00 

41.96 

40.31 

40.09 

9.2 

76.51 

68.59 

6128 

54.79 

49.29 

44.96 

41.94 

40.30 

40.09 

9.3 

76.43 

68.52 

61.21 

54.73 

49.24 

44.93 

41.92 

40.29 

40.10 

9.4 

76.35 

68.44 

61.14 

54.67 

49.19 

44.89 

41.89 

40.28 

40.10 

.    9.5 

76.27 

68.37 

61.07 

54.61 

49.14 

44.85 

41.87 

40.27 

40.11 

9.6 

76.19 

68.29 

61.00 

54.55 

49.09 

44.82 

41.85 

40.26 

40.11 

9.7 

76.11 

68.21 

60.93 

54.49 

49.04 

44.78 

41.82 

40.25 

40.12 

9.8 

76.03 

68.14 

60.86 

54.43 

48.99 

44.75 

41.80 

40.24 

40.12 

9.9 

75.95 

68.06 

60.79 

54.37 

48.94 

44.71 

41.78 

40.23 

40.13 

10.0 

75.87 

67.99 

60.73 

54.31 

48.90 

44.68 

41.76 

40.23 

40.14 

281 


TABLES  LXXXIX.  XC. 


TABLES 
ARGUMENTS 


LXXXIX. 
4. 


XC. 
5. 


Days.        O           10O         2OO           BOO 

O          1OO       2OO         3OO         4OO 

Dava. 

0 

6.64 

5.34 

7.00 

7.81 

5.11 

II 

0.46 

ft 

8.75 

0.88 

8.26 

01 

6.61 

5.34 

7.02 

7.80 

9.16 

0.40 

8.82 

0.80 

8.35 

02 

6.59 

5.34 

7.04 

.7.79 

9.20 

0.34 

8.89 

0.72 

8.44 

03 

6.57 

5.35 

7.07 

7.78 

9.24 

0.29 

8.95 

0.65 

8.53 

04 

6.54 

5.35 

7.09 

7.77 

9.27 

0.24 

9.01 

0.58 

8.61 

05 

6.52 

5.36 

7.11 

7.76 

9.30 

0.20 

9.07 

0.51 

8.69 

06 

6.50 

5.37 

7.13 

7.75 

9.33 

0.16 

9.12 

0.45 

8.76 

07 

6.48 

5.37 

7.15 

7.73 

9.35 

0.13 

9.17 

0.39 

8.83 

08 

6.46 

5.38 

7.17 

7.72 

9.37 

0.10 

9.21 

0.33 

8.90 

09 

6.43 

5.39 

7.19 

7.71 

9.38 

0.07 

9.25 

0.28 

8.96 

10 

6.41 

5.40 

7.21 

7.69 

9.39 

0.05 

9.28 

0.23 

9.02 

11 

6.39 

5.40 

7.23 

7.68 

9.40 

0.03 

9.31 

0.19 

9.07 

12 

6.37 

5.41 

7.25 

7.67 

9.40 

0.02 

9.33 

0.15 

9.12 

13 

6.35 

5.42 

7.27 

7.65 

9.40 

0.01 

9.35 

0.12 

9.17 

14 

6.32 

5.42 

7.29 

7.64 

9.39 

0.00 

9.37 

0.09 

9.21 

15 

6.30 

5.43 

7.31 

7.62 

9.38 

0.00 

9.38 

0.06 

9.25 

16 

6.28 

5.44 

7.33 

7.61 

9.36 

0.01 

9.39 

0.04 

9.28 

17 

6.26 

5.45 

7.35 

7.59 

9.34 

0.02 

9.40 

0.02 

9.31 

18 

6.24 

5.46 

7.37 

7.58 

9.3! 

0.03 

9.40 

0.01 

9.33 

19 

6.22 

5.47 

7.39 

7.56 

9.28 

0.05 

9.39 

0.00 

9.35 

20 

6.20 

5.48 

7.41 

7.55 

9.25 

0.07 

9.38 

0.00 

9.37 

21 

6.18 

5.49 

7.43 

7.53 

9.21 

0.09 

9.37 

0.00 

9.38 

22 

6.16 

5.50 

7.45 

7.52 

9.17 

0.12 

9.35 

0.01 

9.39 

23 

6.14 

5.51 

7.46 

7.50 

9.12 

0.15 

9.33 

0.02 

9.40 

21 

6.12 

5.52 

7.48 

7.49 

9.07 

0.19 

9.30 

0.03 

9.40 

25 

6.10 

5.53 

7.50 

7.47 

9.01 

0.23 

9.27 

0.05 

9.40 

26 

6.08 

5.54 

7.51 

7.45 

8.95 

0.28 

9.24 

0.07 

9.39 

27 

6.06 

5.56 

7.53 

7.43 

8.89 

0.33 

9.20 

0.10 

9.38 

28 

6.04 

5.57 

7.55 

7.41 

8.82 

0.39 

9.16 

0.13 

9.36 

29 

6.02 

5.58 

7.56 

7.40 

8.75 

0.45 

9.11 

0.16 

9.33 

30 

6.00 

5.60 

7.58 

7.38 

8.68 

0.51 

9.06 

0.20 

9.30 

31 

5.98 

5.61 

7.59 

7.36 

8.60 

0.58 

9.00 

0.24 

9.27 

32 

5.96 

5.62 

7.61 

7.34 

8.52 

0.65 

8.94 

0.29 

9.24 

33 

5.94 

5.64 

7.62 

7.32 

8.43 

0.72 

8.88 

0.34 

9.20 

34 

5.92 

5.65 

7.64 

7.30 

8.34 

0.80 

8.81 

0.40 

9.16 

35 

5.90 

5.67 

7.65 

7.28 

8.25 

0.88 

8.74 

0.46 

9.11 

36 

5.88 

5.68 

7.66 

7.26 

8.15 

0.97 

8.67 

0.52 

9.06 

37 

5.86 

5.70 

7.68 

7.24 

8.05 

1.06 

8.59 

0.59 

9.00 

38 

5.85 

5.71 

7.69 

7.22 

7.95 

1.15 

8.51 

0.66 

8.94 

39 

5.83 

5.73 

7.70 

7.20 

7.85 

1.25 

8.42 

0.74 

8.88 

40 

5.81 

5.75 

7.72 

7.18 

7.74 

1.35 

8.33 

0.82 

8.81 

41 

5.79 

5.76 

7.73 

7.16 

7.63 

1.45 

8.24 

0.90 

8.74 

42 

5.77 

5.78 

7.74 

7.14 

7.52 

1.56 

8.14 

0.99 

8.66 

43 

5.76 

5.80 

7.75 

7.12 

7.40 

1.67 

8.04 

1.08 

8.58 

44 

5.74 

5.81 

7.76 

7.10 

7.28 

1.78 

7.94 

1.17 

8.50 

45 
46 

5.73 
5.71 

5.83 
5.85 

7.77 
7.78 

7.08 
7.06 

7.16 
7.04 

1.89 
2.01 

7.84 
7.73 

1.26 
1.36 

8.41 
.8.3:? 

47 

5.70 

5.87 

7.79 

7.04 

6.91 

2.13 

7.62 

1.46 

8.23 

48 

5.68 

5.89 

7.80 

7.02 

6.78 

2.25 

7.51 

1.57 

8.13 

49 

5.67 

5.91 

7.81 

7.00 

6.65 

2.37 

7.39 

1.68 

8.03 

50 

5.65 

5.93 

7.82 

6.98 

6.52 

2.49 

7.27 

1.79 

7.93 

282 


TABLES  LXXXIX.  XC. 


TABLES 

ARGUMENTS 


LXXXIX. 
4. 


XC. 
5. 


Days.    O     1OO    «OO     »OO 

O    100   2OO    3OO    4OO 

Dim. 

50 

5.65 

5.93 

fl 

7.82 

6.98 

6.52 

2.49 

7.27 

1.79 

7.93 

51 

5.64 

5.95 

7.83 

6.96 

6.39 

2.62 

7.15 

1.90 

7.83 

52 

5.62 

5.97 

7.84 

6.94 

6.26 

2.75 

7.03 

2.02 

7.72 

53 

5.61 

5.99 

7.84 

6.91 

6.12 

2.88 

6.90 

2.14 

7.61 

54 

5.59 

6.01 

7.85 

6.89 

5.98 

3.01 

6.77 

2.26 

7.49 

55 

5.58 

6.03 

7.86 

6.87 

5.84 

3.15 

6.64 

2.38 

7.37 

56 

5.57 

6.05 

7.87 

6.85 

5.70 

3.29 

6.51 

2.51 

7.25 

57 

5.55 

6.07 

7.87 

6.83 

5.56 

3.43 

6.38 

2.64 

7.13 

58 

5.54 

6.09 

7.88 

6.80 

5.42 

3.57 

6.25 

2.77 

7.01 

59 

5.53 

6.11 

7.89 

6.78 

5.28 

3.71 

6.11 

2.90 

6.88 

60 

5.51 

6.13 

7.89 

6.76 

5.14 

3.85 

5.97 

3.03 

6.75 

61 

5.50 

6.15 

7.90 

6.74 

4.99 

3.99 

5.83 

3.17 

6.62 

62 

5.49 

6.17 

7.91 

6.72 

4.85 

4.13 

5.69 

3.30 

6.49 

63 

5.48 

6.19 

7.91 

6.69 

4.71 

4.27 

5.55 

3.44 

6.36 

64 

5.47 

6.21 

7.91 

6.67 

4.56 

4.41 

5.41 

3.58 

6.23 

65 

5.46 

6.23 

7.92 

6.65 

4.42 

4.55 

5.26 

3.72 

6.09 

66 

5.45 

6.25 

7.92 

6.62 

4.28 

4.70 

5.12 

3.86 

5.95 

67 

5.44 

6.27 

7.92 

6.60 

4.14 

4.84 

4.98 

4.00 

5.81 

68 

5.44 

6.30 

7.92 

6.58 

3.99 

4.98 

4.84 

4.14 

5.67 

69 

5.43 

6.32 

7.92 

6.55 

3.85 

5.13 

4.69 

4.28 

5.53 

70 

5.42 

6.34 

7.93 

6.53 

3.71 

5.27 

4.55 

4.42 

5.39 

71 

5.41 

6.36 

7.93 

6.51 

3.57 

5.41 

4.41 

4.57 

5.25 

72 

5.40 

6.38 

7.93 

6.49 

3.43 

5.55 

4.26 

4.71 

5.11 

73 

5.40 

6.41 

7.93 

6.47 

3.29 

5.69 

4.12 

4.86 

4.96 

74 

5.39 

6.43 

7.93 

6.44 

3.15 

5.83 

3.98 

5.01 

4.82 

75 

5.38 

6.45 

7.93 

6.42 

3.02 

5.97 

3.84 

5.15 

4.68 

76 

5.38 

6.47 

7.93 

6.40 

2.89 

6.11 

3.70 

5.29 

4.53 

77 

5.37 

6.49 

7.93 

6.38 

2.76 

6.25 

3.56 

5.43 

4.39 

78 

5.37 

6.52 

7.93 

6.36 

2.63 

6.39 

3.42 

5.57 

4.25 

79 

5.36 

6.54 

7.93 

6.33 

2.50 

6.52 

3.28 

5.71 

4.11 

80 

5.36 

6.56 

7.92 

6.31 

2.37 

6.65 

3.14 

5.85 

3.96 

81 

5.35 

6.58 

7.92 

6.29 

2.25 

6.78 

3.01 

5.99 

3.82 

82 

5.35 

6.60 

7.92 

6.27 

2.13 

6.91 

2.88 

6.13 

3.68 

83 

5.34 

6.63 

7.92 

6.25 

2.01 

7.03 

2.75 

6.27 

3.54 

84 

5.34 

6.65 

7.92 

6.23 

1.89 

7.15 

2.62 

6.40 

3.40 

85 

5.34 

6.67 

7.91 

6.21 

1.78 

7.27 

2.49 

6.53 

3.26 

86 

5.34 

6.69 

7.91 

6.19 

1.67 

7.39 

2.36 

6.66 

3.12 

87 

5.34 

6.71 

7.90 

6.17 

1.56 

7.51 

2.24 

6.79 

2.99 

88 

5.33 

6.74 

7.90 

6.15 

1.46 

7.62 

2.12 

6.92 

2.86 

89 

5.33 

6.76 

7.89 

6.13 

1.36 

7.73 

2.00 

7.05 

2.73 

90 

5.33 

6.78 

7.88 

6.11 

1.26 

7.84 

1.88 

7.17 

2.60 

91 

5.33 

6.80 

7.88 

6.09 

1.16 

7.95 

1.77 

7.29 

2.47 

92 

5.33 

6.82 

7.87 

6.07 

1.07 

8.05 

1.66 

7.41 

2.34 

93 

5.33 

6.85 

,   7.86 

6.05 

0.98 

8.15 

1.55 

7.52 

2.22 

94 

5.33 

6.87 

7.86 

6.03 

0.89 

8.25 

1.45 

7.63 

2.10 

95 

5.33 

6.89 

7.85 

6.01 

0.81 

8.34 

1.35 

7.74 

1.98 

96 

5.33 

6.91 

7.84 

5.99 

0.73 

8.43 

1.25 

7.85 

1.87 

97 

5.33 

6.93 

7.83 

5.97 

0.66 

8.52 

1.15 

7.96 

1.76 

98 

5.34 

6.96 

7.82 

5.95 

0.59 

8.60 

1.06 

8.06 

1.65 

99 

5.34 

6.98 

7.82 

5.93 

0.52 

8.68 

0.97 

8.16 

1.54 

100 

5.34 

7.00 

7.81 

5.91 

0.46 

8.75 

0.88 

8.26 

1.44 

283 


TABLES  XCI.   XCII. 


TABLES 
ARGUMENTS 


XCI. 
5. 


XCII. 

78. 


Days 

O 

100 

2OO 

30O 

100 

Days. 

O 

10 

2O 

30 

40 

.10 

Days 

Days. 

0 

V.57 

1.85 

0*.50 

0.11 

II 

.42 

Days. 

0.0 

0.31 

-0.15 

1.72 

4.85 

9.18 

14.25 

Uaya. 

10.0 

01 

1.58 

1.84 

0.49 

0.12 

.43 

0.1 

0.30 

0.16 

1.71 

4.89 

9.23 

14.30 

9.9 

02 

1.60 

1.83 

0.47 

0.12 

.45 

0.2 

0.29 

0.17 

1.77 

4.93 

9.28 

14.35 

9.8 

03 

1.61 

1.82 

0.46 

0.13 

.46 

0.3 

0.28 

0.17 

1.79 

4.96 

9.32 

14.41 

9.7 

04 

1.62 

1.81 

0.45 

0.14 

.47 

0.4 

0.27 

0.18 

1.82 

5.00 

9.37 

14.46 

9.6 

05 

1.63 

1.80 

0.44 

0.15 

.49 

0.5 

0.26 

0.19 

1.84 

5.04 

9.42 

14.51 

9.5 

06 

1.64 

1.79 

0.43 

0.16 

.50 

0.6 

0.25 

0.20 

1.87 

5.08 

9.47 

14.56 

9.4 

07 

1.66 

1.78 

0.41 

0.16 

.51 

0.7 

0.24 

0.21 

1.89 

5.12 

9.52 

14.61 

9.3 

08 

1.67 

1.77 

0.40 

0.17 

.53 

0.8 

0.23 

0.21 

1.92 

5.15 

9.56 

14.67 

9.2 

09 

1.68 

1.76 

0.39 

0.18 

.54 

0.9 

0.22 

0.22 

1.94 

5.19 

9.61 

14.72 

9.1 

10 
11 
12 
13 
14 

1.69 
1.70 
1.71 
1.72 
1.73 

1.75 
1.74 
1.73 
1.72 
1.71 

0.38 
0.37 
0.35 
0.34 
0.33 

0.19 
0.20 
0.20 
0.21 
0.23 

.55 
.56 

.58 
1.59 
1.60 

1.0 
1.1 
1.2 
1.3 
1.4 

0.21 
0.20 
0.19 
0.19 
0.18 

0.23 
0.24 
0.25 
0.26 
0.27 

1.97 
2.00 
2.02 
2.05 
2.07 

5.23 
5.27 
5.31 
5.35 
5.39 

9.66 
9.71 
9.76 
9.81 
9.86 

14.77 
14.82 
14.88 
14.93 
14.99 

9.0 

8.9 
8.8 
8.7 
8.6 

1.5 

0.17 

0.28 

2.10 

5.43 

9.91 

15.04 

8.5 

15 

1.74 

1.70 

0.32 

0.24 

1.61 

1.6 

0.16 

0.29 

2.13 

5.47 

9.96 

15.09 

8.4 

16 

1.75 

1.69 

0.31 

0.25 

1.62 

1.7 

0.15 

0.30 

2.15 

r,.r>i 

10.01 

15.14 

8.3 

17 

1.76 

1.68 

0.30 

0.26 

1.63 

1.8 

0.15 

0.31 

.  2.18 

5.55 

10.05 

15.20 

8.2 

18 

1.77 

1.67 

0.29 

0.27 

1.65 

1.9 

0.14 

0.32 

2.20 

5.59 

10.10 

15.25 

8.1 

19 

1.78 

1.66 

0.28 

0.28 

1.66 

2.0 

0.13 

0.33 

2.23 

5.63 

10.15 

15.30 

8.0 

20 

1.79 

1.65 

0.27 

0.29 

1.67 

2.1 

0.12 

0.34 

2.26 

5.67 

10.20 

15.35 

7.9 

21 

1.80 

1.63 

0.26 

0.30 

.68 

2.2 

0.12 

0.35 

2.29 

5.71 

10.25 

15.40 

7.8 

22 

1.81 

1.62 

0.25 

0.31 

.69 

2.3 

0.11 

0.36 

2..-U 

5.75 

10.30 

15.46 

7.7 

23 

1.82 

1.61 

0.24 

0.32 

.70 

2.4 

0.11 

0.37 

2.34 

5.79 

10.35 

15.51 

7.6 

24 

1.83 

1.60 

0.23 

0.33 

.71 

2.5 

0.10 

0.38 

2.37 

5.83 

10.40 

15.56 

7.5 

25 

1.84 

1.59 

0.22 

0:34 

.72 

2.6 

0.09 

0.39 

2.40 

5.87 

10.45 

15.61 

7.4 

26 

1.84 

.57 

0.21 

0.36 

.73 

2.7 

0.09 

0.40 

2.43 

5.91 

10.50 

15.07 

7.3 

27 

IM 

.56 

0.20 

0.37 

.74 

2.8 

0.08 

0.42 

2.45 

5.96 

10.55 

15.72 

7.2 

28 

1.86 

.55 

0.19 

0.38 

1.75 

2.9 

0.08 

0.43 

2.48 

6.00 

10.60 

15.78 

7.1 

29 

1.87 

.51 

0.18 

0.39 

1.76 

3.0 

0.07 

0.44 

2.51 

6.04 

10.65 

15.83 

7.0 

30 
31 
32 
33 

1.88 
1.88 
1.89 
1.90 

.53 

.51 
.50 

.48 

0.17 
0.16 
0.15 
0.14 

0.40 
0.42 
0.43 
0.44 

1.77 
1.78 
1.79 
1.80 

3.1 
3.2 
3.3 
3.4 

0.07 
0.06 
0.06 
0.05 

0.45 
0.47 
'0.48 
0.50 

2.54 
2.57 
2.59 
2.62 

6.08 
6.12 
6.17 
6.21 

10.70 
10.75 
10.80 
10.85 

15.88 
15.93 
15.99 
16.04 

6.9 
8.8 
6.7 

e.<; 

34 

1.90 

1.47 

0.13 

0.45 

1.81 

3.5 

0.05 

0.51 

2.65 

6.25 

10.90 

16.09 

6.5 

3.6 

0.05 

0.52 

2.68 

6.29 

10.95 

16.14 

6.4 

35 

1.91 

1.46 

0.12 

0.46 

1.82 

3.7 

0.04 

0.54 

2.71 

6.33 

11.00 

16.19 

(i.:i 

36 

1.91 

1.44 

0.12 

0.48 

1.83 

3.8 

0.04 

0.55 

2.74 

6.38 

11.05 

16.2.r> 

g.2 

37 

1.92 

1.43 

0.11 

0.49 

1.84 

3.9 

0.03 

0.57 

2.77 

6.42 

11.10 

16.30 

6.1 

38 

1.92 

1.41 

0.10 

0.50 

1.84 

\ 

39 

1.93 

1.40 

0.10 

0.52 

1.85 

4.0 

0.03 

0.58 

2.80 

6.46 

11.15 

16.35 

6.0 

4.1 

0.03 

0.59 

2.83 

6.50 

11.20 

16,10 

5.9 

40 

1.93 

1.39 

0.09 

0.53 

1.86 

4.2 

0.03 

0.61 

2.86 

6.54 

11.25 

16.46 

5.8 

41 

1.94 

1.37 

0.09 

0.55 

1.87 

4.3 

0.02 

0.62 

2.89 

G.r.D 

!!.:«> 

lfi..r>l 

5.7 

42 

1.94 

1.36 

0.08 

0.56 

l.ss 

4.4 

0.02 

0.64 

2.92 

6.63 

11.35 

16.57 

5.6 

43 

1.95 

1.34 

0.08 

0.57 

1.88 

44 

1.95 

1.33 

0.07 

0.59 

1.89 

4.5 

0.02 

0.65 

2.95 

6.67 

11.10 

16.62 

5.5 

4.6 

0.02 

0.67 

2.98 

6.71 

11.45 

16.67 

5.4 

45 
46 
47 

1.96 
1.96 
1.96 

1.32 
1.30 
1.29 

0.07 
0.06 
0.06 

0.60 
0.62 
0.63 

.90 
.90 
.91 

4.7 

4.8 
4.9 

0.02 
0.01 
0.01 

0.68 
0.70 
0.71 

3.01 
3.05 
3.08 

6.76 
6.80 

6.85 

11.50 
11.56 
11.61 

16.72 
16.78 
16.83 

5.3 

5.2 
5.1 

48 

1.97 

1.27 

0.05 

0.64 

.91 

5.0 

0.01 

0.73 

3.11 

6.89 

11.66 

16.88 

5.0 

49 
50 

1.97 
1.97 

1.26 
1.25 

0.05 
0.04 

0.66 
0.67 

.92 
.92 

Days. 

IO(» 

1*0 

170 

1GO 

150 

140 

Days. 

284 


TABLES  XCI.   XCII. 


TABLES 
ARGUMENTS 


XCI. 
5. 


XCII. 
78. 


Days 

.    0 

1OO 

20O 

3OO 

100 

Days 

0 

10 

2O 

3O 

40 

5O 

Days 

Days 

50 

II 

1.97 

• 

1.25 

0.04 

0.67 

1.92 

Days. 

5.0 

0.01 

II 

0.73 

fj 

3.11 

6.89 

11.66 

16.88 

Days. 

5.0 

51 

1.98 

1.23 

0.04 

0.69 

1.93 

5.1 

0.01 

0.75 

3.44 

6.93 

11.71 

16.93 

4.9 

52 

1.98 

1.22 

0.03 

0.70 

1.93 

5.2 

0.01 

0.76 

3.17 

6.98 

11.76 

16.98 

4.8 

53 

1.98 

1.20 

0.03 

0.71 

1.94 

5.3 

0.00 

0.78 

3.21 

7.02 

11.81 

17.04 

4.7 

54 

1.98 

1.19 

0.03 

0.73 

1.94 

5.4 

0.00 

0.79 

3.24 

7.07 

11.86 

17.09 

4.6 

55 

1.99 

1.17 

0.02 

0.74 

1.95 

5.5 

0.00 

0.81 

3.27 

7.11 

11.91 

17.14 

4.5 

56 

1.99 

1.15 

0.02 

0.76 

1.95 

5.6 

0.00 

0.83 

3.30 

7.15 

11.96 

17.19 

4.4 

57 

1.99 

1.14 

0.02 

0.77 

1.96 

5.7 

0.00 

0.84 

3.33 

7.20 

12.01 

17.24 

4.3 

58 

1.99 

.12 

0.01 

0.78 

1.96 

5.8 

0.00 

0.86 

3.37 

7.24 

1-~>.07 

17.30 

4.2 

59 

1.99 

.11 

0.01 

0.80 

1.96 

5.9 

0.00 

0.87 

3.40 

7.29 

12.12 

17.35 

4.1 

60 
61 
62 
63 
64 

2.00 
2.00 
2.00 
2.00 
2.00 

.10 
.08 
.07 
1.05 
1.04 

0.01 
0.01 
0.01 
0.00 
0.00 

0.81 
0.83 
0.84 
0.86 
0.87 

1.97 
1.97 
1.97 
1.98 
1.98 

6.0 
6.1 
6.2 
6.3 
6.4 

0.00 
0.00 
0.00 
0.00 
0.00 

0.89 
0.91 
0.93 
0.94 
0.96 

3.43 

3.46 
3.49 
3.53 
3.56 

7.33 

7.37 
7.42 
7.46 

7.51 

12.17 
12.22 
12.27 
12.32 
12.37 

17.40 
17.45 
17.51 
17.56 
17.62 

4.0 
3.9 

3.8 
3.7 
3.6 

6.5 

0.00 

0.98 

3.59 

7.55 

12.42 

17.67 

3.5 

65 

2.00 

1.02 

0.00 

0.89 

1.98 

6.6 

0.00 

1.00 

3.62 

7.60 

12.47 

17.72 

3.4 

66 

2.00 

1.00 

0.00 

0.91 

1.98 

6.7 

0.00 

1.02 

3.66 

7.64 

12.52 

17.77 

3.3 

67 

2.00 

0.99 

0.00 

0.92 

1.99 

6.8 

0.01 

1.03 

3.69 

7.69 

12.58 

17.83 

3.2 

68 

2.00 

0.97 

0.00 

0.94 

1.99 

6.9 

0.01 

1.05 

3.73 

7.73 

12.63 

17.88 

3.1 

69 

1.99 

0.96 

0.00 

0.95 

1.99 

7.0 

0.01 

1.07 

3.76 

7.78 

12.68 

17.93 

3.0 

70 

1.99 

0.94 

0.00 

0.97 

1.99 

7.1 

0.01 

1.09 

3.71) 

7.83 

12.73 

17.98 

2.9 

71 

1.99 

0.92 

0.00 

0.99 

1.99 

7.2 

0.01 

1.11 

3.83 

7.87 

12.78 

18.03 

2.8 

72 

1.99 

0.91 

0.01 

1.00 

2.00 

7.3 

0.02 

1.13 

3.86 

7.92 

12.84 

18.09 

2.7 

73 

1.99 

0.89 

0.01 

1.02 

2.00 

7.4 

0.02 

1.15 

3.90 

7.96 

12.89 

18.14 

2.6 

74 

1.98 

0.88 

0.01 

1.03 

2.00 

7.5 

0.02 

1.17 

3.93 

8.01 

12.94 

18.19 

2.5 

75 

1.98 

0.87 

0.01 

1.01 

2.00 

7.6 

0.02 

1.19 

3.97 

ROfi 

12.P9 

18.^4 

2.4 

76 

1.98 

0.85 

0.01 

1.06 

2.00 

7.7 

0.03 

1.21 

4.00 

8.10 

13.04 

18.29 

2.3 

77 

1.97 

0.84 

0.02 

1.07 

2.00 

7.8 

0.03 

1.23 

4.04 

8.15 

13.10 

18.35 

2.2 

78 

1.97 

0.82 

0.02 

1.09 

2.00 

7.9 

0.04 

1.25 

4.07 

8.19 

13.15 

18.40 

2.1 

79 

1.97 

0.80 

0.02 

1.11 

2.00 

8.0 

0.04 

1.27 

4.11 

8.24 

13.20 

18.45 

2.0 

80 
81 
82 
83 

1.96 
1.96 
1.96 
1.95 

0.79 
0.77 
0.76 
0.74 

0.02 
0.0,1 

0.03 
0.03 

1.13 
Lit 
1.16 
1.17 

2.00 
1.99 

1.99 
1.99 

8.1 
8.2 
8.3 
8.4 

0.04 
0.05 
0.05 
0.06 

1.29 
1.31 
1.34 
1.36 

4.15 

4.18 

4.22 
4.25 

8.29 
8.^3 

8.«i8 
8.42 

13.25 
!3.:X) 
13.36 
13.41 

18.50 
18.55 
18.61 
18.66 

1.9 

1.8 
1.7 
1.6 

84 

1.95 

0.73 

0.03 

1.18 

1.99 

8.5 

0.06 

1.38 

4.29 

8.47 

13.46 

18.71 

1.5 

8.6 

0.07 

1.40 

4.33 

8.52 

13.51 

18.76 

1.4 

85 

1.94 

0.72 

0.04 

1.20 

1.99 

8.7 

0.07 

1.42 

4.36 

8.57 

13.56 

18.81 

1.3 

86 

1.94 

0.70 

0.04 

1.21 

1.98 

8.8 

0.08 

1.45 

4.40 

8.61 

13.62 

18.87 

1.2 

87 

1.93 

0.69 

0.04 

1.23 

1.98 

8.9 

0.08 

1.47 

4.43 

8.66 

13.67 

18.92 

1.1 

88 

1.93 

0.67 

0.05 

1.24 

1.98 

89 

1.92 

0.66 

0.05 

1.26 

1.97 

9.0 

0.09 

1.49 

4.47 

8.71 

13.72 

18.97 

1.0 

9.1 

0.10 

1.51 

4.51 

8.76 

13.77 

19.02 

0.9 

90 

1.92 

0.65 

0.06 

1.28 

1.97 

9.2 

0.10 

1.53 

4.55 

8.80 

13.82 

19.07 

0.8 

91 

1.91 

0.63 

0.06 

1.29 

1.97 

9.3 

0.11 

1.56 

4.58 

8.85 

13.88 

19.13 

0.7 

92 

1.91 

0.61 

0.07 

1.31 

1.96 

9.4 

0.11 

1.58 

4.62 

8.89 

13.93 

19.18 

0.6 

93 

1.90 

0.60 

0.07 

1.32 

1.96 

94 

1.90 

0.59 

0.08 

1.33 

1.96 

9.5 

0.12 

1.60 

4.66 

8.94 

13.98 

19.23 

0.5 

9.6 

0.13 

1.62 

4.70 

8.99 

14.03 

19.28 

0.4 

95 

1.89 

0.57 

0.08 

1.35 

1.95 

9.7 

0.13 

1.65 

4.74 

9.04 

14.09 

19.33 

0.3 

96 

1.88 

0.56 

0.09 

1.36 

1.95 

9.8 

0.14 

1.67 

4.77 

9.08 

14.14 

19.39 

0.2 

97 

1.88 

0.54 

0.09 

1.38 

1.94 

9.9 

0.14 

1.70 

4.81 

9.13 

14.20 

19.44 

0.1 

98 

1.87 

0.53 

0.10 

1.39 

1.94 

10.0 

0.15 

1.72 

4.85 

9.18 

14.25 

19.49 

0.0 

99 
100 

1.86 
1.85 

0.52 
0.50 

0.10 
0.11 

1.40 
1.42 

1.93 
1.93 

Days. 

190 

18O 

170 

100 

I.TO. 

14O 

Days. 

285 


TABLES  XCII.  XCIII. 


TABLES 

ARGUMENTS 


XCII. 


XCIII. 


100 

Days.    GO           7O          8O          9O       Days. 

Days.    0        1OO     2OO    3OO 

3OO   Days. 

I  '..IS 

| 

It 

_ 

H 

Day.. 

Days 

n 

II 

• 

II 

It                         11 

llavs 

0.0 

19.49 

24.31 

28.21 

30.73 

10.0 

0 

7.80 

8.33 

10.00 

12.66 

16.10     20.04 

100 

0.1 

19.54 

24.35 

28.24 

30.75 

9.9 

01 

7.80 

8.34 

10.02 

12.69 

16.13     20.08 

99 

0.2 

19.59 

24.40 

28.27 

30.76 

9.8 

02 

7.80 

8.35 

10.04 

12.72 

16.17     20.12 

98 

0.3 

19.64 

24.44 

28.31 

30.78 

9.7 

03 

7.80 

8.36 

10.00 

12.75 

16.21     20.16 

97 

0.4 

19.69 

24.49 

28.34 

30.79 

9.6 

04 

7.80 

8.37 

10.08 

12.78 

16.25 

20.20 

96 

0.5 

19.74 

24.53 

28.37 

30.81 

9.5 

05 

7.80 

8.39 

10.11 

12.81 

16.29 

20.24 

95 

0.6 

19.79 

24.57 

28.40 

30.83 

9.4 

06 

7.80 

8.40 

10.13 

12.84 

16.32 

20.28 

94 

0.7 

19.84 

24.62 

28.43 

30.84 

9.3 

07 

7.80 

8.41 

10.15 

12.87 

16.361    20.32 

93 

0.8 

19.90 

24.66 

28.47 

30.86 

9.2 

08 

7.80 

8.42 

10.17 

12.90 

16.40 

20.36 

92 

0.9 

19.95 

24.71 

28.50 

30.87 

9.1 

09 

7.80 

8.43 

10.19 

12.93 

16.44 

20.40 

91 

1.0 

20.00 

24.75 

28.53 

30.89 

9.0 

10 

7.80 

8.45 

10.22 

12.97 

16.48 

20.45 

90 

1.1 

20.05 

24.79 

28.56 

30.91 

8.9 

11 

7.80 

8.46 

10.24 

13.00 

16.51 

20.49 

89 

1.2 

20.10 

24.84 

28.59 

30.92 

8.8 

12 

7.80 

8.47 

10.26 

1303 

16.55 

20.53 

88 

1.3 

20.15 

24.88 

28.62 

30.94 

8.7 

13 

7.80 

8.48 

10.29 

13.06 

16.59 

20.57 

87 

1.4 

20.20 

24.93 

28.65 

30.95 

8.6 

14 

7.80 

8.50 

10.31 

13.09 

16.63 

20.61 

86 

1.5 

20.25 

24.97 

28.68 

30.97 

8.5 

15 

7.81 

8.51 

10.33 

13.13 

16.67 

20.65 

85 

1.6 

20.30 

25.01 

28.71 

30.98 

8.4 

16 

7.81 

8.52 

10.36 

13.16 

16.70 

20.69 

84 

1.7 

20.35 

25.05 

28.74 

31.00 

8.3 

17 

7.81 

8.54 

10.38 

13.1!) 

16.74 

20.73 

83 

1.8 

20.40 

25.10 

28.77 

31.01 

8.2 

18 

7.81 

8.55 

10.41 

13.22 

16.78 

20.77 

82 

1.9 

20.45 

25.14 

28.80 

31.03 

8.1 

19 

7.81 

8.56 

10.43 

13.25 

16.82 

20.81 

81 

2.0 

20.50 

25.18 

28.83 

31.04 

8.0 

20 

7.81 

8.58 

10.46 

13.29 

16.86 

20.86 

80 

2.1 

20.55 

25.22 

28.86 

31.05 

7.9 

21 

7.82 

8.59 

10.48 

13.32 

16.90 

20.90 

79 

2.2 

20.60 

25.26 

28.89 

31.07 

7.8 

22 

7.82 

8.60 

10.50 

J3.:ir> 

16.93 

20.9  1 

78 

2.3 

20.65 

25.31 

28.92 

31.08 

7.7 

23 

7.82 

8.62 

10.53 

13.38 

16.97 

20.98 

77 

2.4 

20.70 

25.35 

28.95 

31.10 

7.6 

24 

7.82 

8.63 

10.55 

13.42 

17.01 

21.02 

76 

2.5 

20.75 

25.39 

28.98 

31.11 

7.5 

25 

7.82 

8.64 

10.58 

13.45 

17.05 

21.06 

75 

2.6 

20.80 

25.43 

29.01 

31.12 

7.4 

26 

7.83 

8.66 

10.60 

13.48 

17.09 

21.10 

74 

2.7 

20.85 

25.47 

29.04 

31.13 

7.3 

27 

7.83 

8.67 

10.62 

13.52 

17.13 

21.14 

73 

2.8 

20.90 

25.52 

29.06 

31.15 

7.2 

28 

7.83 

8.69 

10.65 

13.55 

17.17 

21.18 

72 

2.9 

20.95 

25.56 

29.09 

31.16 

7.1 

29 

7.83 

8.70 

10.67 

13.58 

17.21 

21.22 

71 

3.0 

21.00 

25.60 

29.12 

31.17 

7.0 

30 

7.84 

8.72 

10.70 

13.62 

17.25 

21.27 

70 

8.1 

21.05 

25.64 

29.15 

31.18 

6.9 

31 

7.84 

8.73 

10.72 

13.65 

17.28 

21.31 

69 

3.2 

21.10 

25.68 

29.18 

31.19 

6.8 

32 

7.84 

8.75 

10.75 

13.68 

17.32 

21.35 

68 

3.3 

21.15 

25.73 

29.20 

31.21 

6.7 

33 

7.84 

8.76 

10.77 

13.72 

17.36 

21.39 

67 

3.4 

21.20 

25.77 

29.23 

31.22 

6.6 

34 

7.85 

8.78 

10.80 

13.75 

17.40 

21.43 

66 

3.5 

21.25 

25.81 

29.26 

31.23 

6.5 

35 

7.85 

8.79 

10.82 

13.78 

17.44 

21.48 

65 

3.6 

91.30 

25.85 

29.29 

31.24 

6.4 

36 

7.85 

8.81 

10.85 

13.82 

17.48 

21.52 

64 

3.7 

91.86 

25.89 

29.32 

31.25 

6.3 

37 

7.86 

S.S'J 

IO.N7 

18.86 

17.52 

21.56 

63 

3.8 

21.40 

25.93 

29.34 

31.26 

6.2 

38 

7.86 

s.si 

10.90 

13.89 

17.56 

21.60 

62 

3.9 

21.45 

25.97 

29.37 

31.27 

6.1 

39 

7.86 

8.85 

10.92 

13.92 

17.60 

21.64 

61 

4.0 

21.50 

26.01 

29.40 

31.28 

6.0 

40 

7.87 

8.87 

10.95 

13.96 

17.64 

21.69 

60 

4.1 

21.55 

26.05 

29.43 

31.29 

5.9 

41 

7.87 

8.88 

10.97 

13.99 

17.67 

21.73 

69 

4.2 

31.60 

26.09 

29.  t:> 

31.30 

5.8 

42 

7.HH 

8.90 

11.00 

14.02 

17.71 

21.77 

58 

4.3 

21.64 

26.13 

99.48 

81.M 

5.7 

i:i 

7.88 

8.91 

11.03 

14.06 

17.75 

21.81 

57 

II 

21.69 

26.17 

gg.M 

3  1  .32 

5.6 

44 

7.89 

8.93 

11.05 

14.09 

17.79 

21.85 

56 

4.5 

21.74 

•JH.-JI 

29.53 

31.33 

5.5 

45 

7.89 

8.94 

11.08 

14.13 

17.83 

21.89 

55 

4.6 

81.79 

26.25 

29.56 

31.31 

5.4 

46 

7.90 

8.96 

11.11 

14.16 

17.87 

21.  ill 

54 

4.7 

21.  84      26.2!» 

89.58 

31.35 

5.8 

47 

7.90 

8.98 

11.13 

1  l.lli 

17.91 

21.98 

68 

4.8 

21.8!)     '-><;.:(:! 

29.fi  1 

31.36 

5.3 

48 

7.91 

9.00 

11.  Hi 

1  i  .••>:» 

17.95 

22.02 

52 

i  e 

21.!)l     26.37 

29.63 

31.37 

5.1 

49 

7.1)1 

9.01 

11.19 

14.26 

17.9!) 

22.06 

51 

5.0 

21.99      26.  tl 

29.66 

81.88 

5.0 

50 

7.92 

9.03 

11.22 

14.30 

18.03 

22.10 

50 

Days.    i:t(>     tf£O       1  1O       1OO     Days. 

It.-.ys.  21OO2OOO  19OO  I8OO  17OO  1GOO  Days. 

286 


TABLES  XCII.  XCIII. 


TABLES 

ARGUMENTS 


xcn. 

78. 


xcm. 

73. 


Days.    GO           7O          8O          9O       Days. 

Days.    O        1OO     2OO    3OO      1OO     5OO  Days. 

Days 

II 

If 

M 

II 

Days. 

Days 

II 

,( 

H 

a 

II 

II 

11,'IVS 

5.0 

21.99 

26.41 

29.66 

31.38 

5.0 

50 

7.92 

9.03 

11.22 

14.30 

18.03 

22.10 

50 

5.1 

22.04 

26.45 

29.68 

31.39 

4.9 

51 

7.92 

9.04 

11.24 

14.33 

18.07 

22.14 

49 

5.2 

22.09 

26.49 

29.71 

31.40 

4.8 

52 

7.93 

9.06 

11.27 

14.37 

18.11 

22.18 

48 

5.3 

22.13 

26.52 

29.73 

31.40 

4.7 

53 

7.93 

9.08 

11.30 

14.40 

18.15 

22.22 

47 

5.4 

22.18 

26.56 

29.76 

31.41 

4.6 

54 

7.94 

9.09 

11.32 

14.44 

18.19 

22.26 

46 

5.5 

22.23 

26.60 

29.78 

31.42 

4.5 

55 

7.94 

9.11 

11.35 

14.47 

18.23 

22.31 

45 

5.6 

22.28 

26.64 

29.80 

31.43 

4.4 

56 

7.95 

9.13 

11.38 

14.51 

18.27 

22.35 

44 

5.7 

22.33 

26.68 

29.83 

31.44 

4.3 

57 

7.96 

9.14 

11.40 

14.54 

18.31 

22.39 

43 

5.8 

22.37 

26.71 

29.85 

31.44 

4.2 

58 

7.96 

9.16 

11.43 

14.58 

18.35 

22.43 

42 

5.9 

22.42 

26.75 

29.88 

31.45 

4.1 

59 

7.97 

9.18 

11.46 

14.61 

18.39 

22.47 

41 

6.0 

22.47 

26.79 

29.90 

31.46 

4.0 

60 

7.98 

9.20 

11.49 

14.65 

18.43 

22.51 

40 

6.1 

22.52 

26.83 

29.92 

31.47 

3.9 

61 

7.98 

9.22 

11.51 

14.68 

18.47 

22.55 

39 

6.2 

22.57 

26.87 

29.95 

31.47 

3.8 

62 

7.99 

9.23 

11.54 

14.72 

18.51 

22.60 

38 

6.3 

22.61 

26.90 

29.97 

31.48 

3.7 

63 

8.00 

9.25 

11.57 

14.75 

18.55 

22.64 

37 

6.4 

22.66 

26.94 

30.00 

31.48 

3.6 

64 

8.00 

9.27 

11.60 

14.79 

18.59 

22.68 

36 

6.5 

22.71 

26.98 

30.02 

31.49 

3.5 

65 

8.01 

9.29 

11.63 

14.82 

18.63 

22.72 

35 

6.6 

22.76 

27.02 

30.04 

31.50 

3.4 

66 

8.02 

9.31 

11.65 

14.86 

18.67 

22.76 

34 

6.7 

22.80 

27.06 

30.06 

31.50 

3.3 

67 

8.02 

9.33 

11.68 

14.89 

18.71 

22.81 

33 

6.8 

22.85 

27.09 

30.09 

31.51 

3.2 

68 

8.03 

9.35 

11.71 

14.93 

18.75 

22.85 

32 

6.9 

22.89 

27.13 

30.11 

31.51 

3.1 

69 

8.04 

9.37 

11.74 

14.96 

18.79 

22.89 

31 

7.0 

22.94 

27.17 

30.13 

31.52 

3.0 

70 

8.05 

9.39 

11.77 

15.00 

18.83 

22.93 

30 

7.1 

22.99 

27.21 

30.15 

31.53 

2.9 

71 

8.05 

9.40 

11.80 

15.03 

18.87 

22.97 

29 

.    7.2 

23.04 

27.24 

30.17 

31.53 

2.8 

72 

8.06 

9.42 

11.82 

15.07 

18.91 

23.01 

28 

7.3 

23.08 

27.28 

30.20 

31.54 

2.7 

73 

8.07 

9.44 

11.85 

15.10 

18.95 

23.06 

27 

7.4 

23.13 

27.31 

30.22 

31.54 

2.6 

74 

8.08 

9.46 

11.88 

15.14 

18.99 

23.10 

26 

7.5 

23.18 

27.35 

30.24 

31.55 

2.5 

75 

8.09 

9.48 

11.91 

15.17 

19.03 

23.14 

25 

7.6 

23.23 

27.39 

30.26 

31.55 

2.4 

76 

8.09 

9.50 

11.94 

15.21 

1C.  07 

2.*Uf5 

24 

7.7 

23.27 

27.42 

30.28 

31.58 

2.3 

77 

8.10 

9.5;! 

11.97 

15.X;5 

19.11 

23.22 

23 

7.8 

23.32 

27.46 

30.31 

31.56 

2.2 

78 

8.J1 

9.54 

12.00 

15.28 

19.15 

23.26 

22 

7.9 

23.36 

27.49 

30.33 

31.57 

2.1 

79 

8.12 

9.56 

12.03 

15.32 

19.19 

23.30 

21 

8.0 

23.41 

27.53 

30.35 

31.57 

2.0 

80 

8.13 

9.58 

12.06 

15.36 

19.23 

23.34 

20 

8.1 

23.46 

27.56 

30.37 

31.57 

1.9 

81 

8.14 

9.60 

12.09 

15.39 

19.27 

23.38 

19 

8.2 

23.50 

27.60 

30.39 

31.57 

1.8 

82 

8.15 

9.62 

12.12 

15..  t?-)     l!J.;n 

23.43 

18 

8.3 

23.55 

27.6;j 

30.41 

31.58 

1.7 

83 

8.16 

9.64 

12.15 

15.47 

19.35 

23.47 

17 

8.4 

23.59 

27.67 

30.43 

31.58 

1.6 

84 

8.17 

9.66 

12.18 

15.50 

19.39 

23.51 

16 

8.5 

23.64 

27.70 

30.45 

31.58 

1.5 

85 

8.18 

9.68 

12.21 

15.54 

19.43 

23.55 

15 

8.6 

23.69 

27.73 

30.47 

31.58 

•1.4 

86 

8.19 

9.70 

12.24 

15.58 

19.47 

23.59 

14 

8.7 

23.73 

27.77 

30.49 

31.58 

1.3 

87 

8.20 

9.72 

12.27 

15.61 

19.51 

23.63 

13 

8.8 

23.78 

27.80 

30.51 

31.59 

1.2 

88 

8.21 

9.74 

12.30 

15.65 

19.55 

23.67 

12 

8.9 

23.82 

27.84 

30.53 

31.59 

1.1 

89 

8.22 

9.76 

12.33 

15.69 

19.59 

23.71 

11 

9.0 

23.87 

27.87 

30.55 

31.59 

1.0 

90 

8.23 

9.78 

12.36 

15.73 

19.64 

23.75 

10 

9.1 

23.91 

27.90 

30.57 

31.59 

0.9 

91 

8.24 

9.80 

12.39 

15.76 

19.68 

23.80 

09 

9.2 

23.96 

27.94 

30.59 

31.59 

0.8 

92 

8.25 

9.82 

12.42 

15.80 

19.72 

23.84 

08 

9.3 

24.00 

27.97 

30.60 

31.59 

0.7 

93 

8.26 

9.84 

12.45 

15.84 

19.76 

23.88 

07 

9.4 

24.05 

28.01 

30.62 

31.60 

0.6 

94 

8.27 

9.86 

12.48 

15.87 

19.80 

23.92 

06 

9.5 

24.09 

28.04 

30.64 

31.60 

0.5 

95 

8.28 

9.89 

12.51 

15.91 

19.84 

23.96 

05 

9.6 

24.13 

28.07 

30.66 

31.60 

0.4 

96 

8.29 

9.91 

12.54 

15.95 

19.88 

24.00 

04 

9.7 

24.18 

28.11 

30.68 

31.60 

0.3 

97 

8.30 

9.93 

12.57 

15.98 

19.92 

24.04 

03 

9.8 

24.22 

28.14 

30.69 

31.60 

0.2 

98 

8.31 

9.95 

12.60 

16.02 

19.96 

24.08 

02 

9.9 

24.27 

28.18 

30.71 

31.60 

0.1 

99 

8.32 

9.97 

12.63 

16.06 

20.00 

24.12 

01 

10.0 

24.31 

28.21 

30.73 

31.60 

0.0 

100 

8.33 

10.00 

12.66      16.10 

20.04 

24.16 

00 

Days.    13O        12O        11O        1OO     Days. 

Days.  2100  3OOO  1UOO  18OO  17OO  16OO  Days. 

287 


TABLES  XCIII.-XCV. 


TAB/.ES 

AEGUMENTS 


XCIII. 
73. 


XCIV. 

12"'. 


xcv. 

79. 


Days 

.   000 

7OO 

SOO 

OOO 

1000 

o 

100 

1 
O 

100 

2OO 

Days. 

Day. 

00 

24.16 

28.12 

31.59 

34.29 

i 

36.01 

1.13 

0.74 

0.28 

6.39 

0.17 

Dty* 
100 

01 

24.20 

28.16 

31.63 

31.32 

36.03 

1.13 

0.73 

0.28 

0.3!) 

0.17 

99 

02 

24.24 

28.20 

31.66 

34.34 

36.04 

1.14 

0.72 

0.28 

0.39 

0.17 

98 

03 

24.28 

28.24 

31.69 

34.36 

36.05 

1.14 

0.71 

0.29 

0.39 

0.17 

97 

04 

24.32 

28.27 

31.72 

34.38 

36.06 

1.15 

0.70 

0.29 

0.39 

0.16 

96 

05 

24.36 

28.31 

31.75 

34.40 

36.07 

1.15 

0.69 

0.29 

0.39 

0.16 

95 

06 

24.40 

28.35 

31.78 

34.43 

36.08 

1.15 

0.68 

0.30 

0.38 

0.16 

94 

07 

24.44 

28.38 

31.81 

34.45 

36.09 

1.16 

0.67 

0.30 

0.38 

0.15 

93 

08 

24.48 

28.42 

31.84 

34.47 

36.10 

1.16 

0.66 

0.30 

0.38 

0.15 

92 

09 

24.52 

28.46 

31.87 

34.49 

36.11 

1.16 

0.65 

0.30 

0.38 

0.15 

91 

10 

24.57 

28.49 

31.90 

34.51 

36.12 

1.17 

0.64 

0.31 

0.38 

0.14 

90 

11 

24.61 

28.53 

31.93 

34.53 

36.13 

1.17 

0.63 

0.31 

0.38 

0.14 

89 

12 

24.65 

28.57 

31.96 

34.56 

36.14 

1.17 

0.62 

0.31 

0.38 

0.14 

88 

13 

24.69 

28.61 

31.99 

34.58 

36.15 

1.18 

0.61 

0.31 

0.38 

0.14 

87 

14 

24.73 

28.64 

32.02 

34.60 

36.16 

1.18 

0.60 

0.31 

0.38 

0.14 

86 

15 

24.77 

28.68 

32.05 

34.62 

36.17 

.18 

0.59 

0.32 

0.38 

0.13 

85 

16 

24.81 

28.72 

32.08 

34.64 

36.18 

.19 

0.58 

0.32 

0.37 

0.13 

84 

17 

24.85 

28.75 

32.11 

34.66 

36.19 

.19 

0.57 

0.32 

0.37 

0.13 

88 

18 

24.89 

28.79 

32.14 

34.68 

36.20 

.19 

0.56 

0.:« 

0.37 

0.13 

82 

19 

24.93 

28.83 

32.17 

34.70 

36.21 

.19 

0.55 

0.32 

0.37 

0.13 

81 

20 

24.97 

28.86 

32.20 

34.72 

36.22 

.20 

0.53 

0.33 

0.37 

0.12 

80 

21 

25.01 

28.90 

32.23 

34.74 

36.23 

.20 

0.52 

0.33 

0.37 

0.12 

79 

22 

25.05 

28.94 

32.26 

34.76 

36.24 

.20 

0.51 

0.33 

0.37 

0.12 

78 

23 

25.09 

28.97 

32.29 

34.78 

36.25 

.20 

0.50 

0.33 

0.36 

0.12 

77 

24 

25.13 

29.01 

32.32 

34.80 

36.26 

.20 

0.49 

0.33 

o.:i(i 

0.11 

76 

25 

25.17 

29.05 

32.35 

34.82 

36.27 

.20 

0.48 

0.34 

0.36 

0.11 

75 

26 

25.21 

29.08 

32.38 

34.84 

36.28 

.20 

0.47 

0.34 

0.36 

0.11 

74 

27 

25.25 

29.12 

32.41 

34.86 

36.29 

.20 

0.46 

0.34 

0.36 

0.10 

73 

28 

25.29 

29.15 

32.44 

34.88 

36.30 

.20 

0.45 

0.34 

0.36 

0.10 

72 

29 

25.33 

29.19 

32.47 

34.90 

36.31 

.20 

0.44 

0.34 

0.35 

0.10 

71 

30 

25.38 

29.22 

32.49 

34.92 

36.31 

.20 

0.42 

0.35 

0.35 

0.09 

70 

31 

25.42 

29.26 

32.52 

34.94 

ataa 

.20 

0.41 

045 

0.35 

0.09 

69 

32 

25.46 

29.30 

32.55 

34.96 

36.33 

.20 

0.40 

0.35 

0.35 

0.09 

68 

33 

25.50 

29.33 

32.58 

34.98 

36.34 

.19 

0.39 

0.35 

0.35 

0,09 

67 

34 

25.54 

29.37 

32.61 

35.00 

36.35 

.19 

0.3N 

0.35 

0.35 

0.09 

66 

35 

25.58 

29.41 

32.64 

35.02 

:ifi.35 

.19 

0.37 

0.36 

0.34 

0.08 

65 

:{(> 

25.62 

29.44 

32.67 

35.04 

36.36 

.19 

f  o.3(i 

0.36 

0.3  1 

O.OS 

64 

37 

36.66 

29.48 

:«.•() 

35.06 

36.:n 

.19 

•  0.35 

0.36 

0.31 

0.08 

63 

tt 

25.70 

29.51 

32.73 

35.08 

36.38 

.18 

0.3  1 

o.:!(i 

o.3i 

0.0* 

62 

:ii) 

25.71 

29.55 

32.76 

35.10 

36.39 

.18 

0.33 

0.36 

o.:ii 

0.08 

61 

40 

25.78 

29.58 

32.78 

35.11 

36.39 

1.18 

0.32 

0.37 

0.33 

0.07 

60 

41 

25.82 

29.62 

32.81 

35.13 

36.40 

1.18 

0.31 

0.37 

o.3:t 

0.07 

59 

« 

25.M6 

BB.6G 

32.H  i 

35.15 

36  41 

1.17 

()„•(() 

0.37 

0.33 

0.07 

58 

i:( 

96.90 

29.69 

B2.89 

35.17 

:tfi.4l 

1.17 

0.29 

o.:f7 

0.33 

0.07 

57 

li 

B6.94 

29.72 

B2.89 

:tr>.i<) 

36.42 

1.17 

0.28 

0.37 

0.3:t 

0.07 

56 

45 

25.98 

ae.76 

32.92 

35.20 

36.42 

1.17 

0.27 

0.37 

0.32 

0.06 

55 

46 

•^(i.o-J 

29.79 

B3.96 

XVJ2 

3643 

.16 

0.26 

0.37 

0.3-j 

O.llli 

54 

47 

36.06 

29.83 

:«.!»7 

35.24 

36,  13 

.16 

(XSfi 

03N 

0.3-j 

O.Ofi 

53 

4h 

MJO 

09.86 

:{:!.()() 

35.2fi 

36.44 

.11 

0.24 

o.:is 

().:« 

0.06 

52 

III 

*>.  1  1 

2!>.9() 

33.03 

35.28 

:ifi,44 

.15 

0.88 

0.3N 

0.32 

O.Oli 

51 

50 

26.18 

29.93 

33.05 

35.29 

36.45 

.15 

0.23 

0,«8 

0.3  ! 

0.05 

50 

1500 

1  100 

i:too 

1200 

1100 

300 

200 

300 

400 

300    1 

Days. 

NOTM.  —  Arg.  12'"  =  Arg.  12  —  20.00. 
288 


TABLES  XCIII.-XCV. 


TABLES 

ARGUMENTS 


XCffl. 
73. 


XCIV. 

12'". 


xcv. 

79. 


Days.  60O       70O      8OO       9OO       1OOO 

O           IOO 

O         10O       2OO    Days. 

DaVa 

50 

26.18 

29.93 

33.05 

35.29 

36.45 

1.15 

0.23 

0.38 

0.31 

0.05 

Days. 

50 

51 

26.22 

29.97 

33.08 

35.31 

36.45 

1.14 

0.22 

0.38 

0.31 

0.05 

49 

52 

26.26 

30.00 

33.11 

35.33 

36.46 

1.14 

0.21 

0.38 

0.31 

0.05 

48 

53 

26.30 

30.04 

33.14 

35.34 

36.46 

1.13 

0.20 

0.38 

0.31 

0.05 

47 

54 

26.34 

30.07 

33.16 

35.36 

36.47 

1.13 

0.19 

0.38 

0.30 

0.05 

46 

55 

26.38 

30.11 

33.19 

35.38 

36.48 

1.12 

0.19 

0.38 

0.30 

0.04 

45 

56 

26.42 

30.14 

33.22 

35.39 

36.48 

1.11 

0.18 

0.39 

0.30 

0.04 

44 

57 

26.46 

30.18 

33.24 

35.41 

36.49 

1.11 

0.17 

0.39 

0.29 

0.04 

43 

58 

26.50 

30.21 

33.27 

35.42 

36.49 

1.10 

0.16 

0.39 

0.29 

0.04 

42 

59 

26.54 

30.25 

33.30 

35.44 

36.50 

1.10 

0.15 

0.39 

0.29 

0.04 

41 

60 

26.57 

30.28 

33.32 

35.45 

36.51 

1.09 

0.15 

0.39 

0.28 

0.03 

40 

61 

26.61 

30.32 

33.35 

35.47 

36.51 

1.09 

0.14 

0.39 

0.28 

0.03 

39 

62 

26.65 

30.35 

33.38 

35.49 

36.52 

1.08 

0.13 

0.39 

0.28 

0.03 

38 

63 

26.69 

30.39 

33.40 

35.50 

36.52 

1.08 

0.13 

0.39 

0.28 

0.03 

37 

64 

26.73 

30.42 

33.43 

35.52 

36.53 

1.07 

0.12 

0.39 

0.28 

0.03 

36 

65 

26.77 

30.46 

33.46 

35.54 

36.53 

1.06 

0.12 

0.39 

0.27 

0.03 

35 

66 

26.81 

30.49 

33.48 

35.55 

36.54 

1.06 

0.11 

0.40 

0.27 

0.03 

34 

67 

26.85 

30.52 

33.51 

35.57 

36.54 

1.05 

0.11 

0.40 

0.27 

0.02 

33 

68 

26.89 

30.56 

33.53 

35.58 

36.54 

1.04 

0.10 

0.40 

0.27 

0.02 

32 

69 

26.93 

30.59 

33.56 

35.60 

36.55 

1.03 

0.10 

0.40 

0.27 

0.02 

31 

70 

26.96 

30.62 

33.58 

35.61 

36.55 

1.02 

0.09 

0.40 

0.26 

0.02 

30 

71 

27.00 

30.66 

33.61 

35.63 

36.55 

1.02 

0.09 

0.40 

0.26 

0.02 

29 

72 

27.04 

30.69 

33.63 

35.64 

36.56 

1.01 

0.08 

0.40 

0.26 

0.02 

28 

73 

27.08 

30.72 

33.66 

35.66 

36.56 

1.00 

0.08 

0.40 

0.26 

0.02 

27 

74 

27.12 

30.76 

33.68 

35.67 

36.56 

0.99 

0.07 

0.40 

0.25 

0.02 

26 

75 

27.16 

30.79 

33.71 

35.69 

36.56 

0.98 

0.07 

0.40 

0.25 

0.01 

25 

76 

27.20 

30.82 

33.73 

35.70 

36.57 

0.98 

0.06 

0.40 

0.25 

0.01 

24 

77 

27.24 

30.86 

33.76 

35.71 

36.57 

0.97 

0.06 

0.40 

0.24 

0.01 

23 

78 

27.28 

30.89 

33.78 

35.73 

36.57 

0.96 

0.05 

0.40 

0.24 

0.01 

22 

79 

27.32 

30.92 

33.81 

35.74 

36.57 

0.95 

0.05 

0.40 

0.24 

0.01 

21 

80 

27.35 

30.95 

33.83 

35.75 

36.58 

0.94 

0.04 

0.40 

0.23 

0.01 

20 

81 

27.39 

30.99 

33.86 

35.77 

36.58 

0.94 

0.04 

0.40 

0.23 

0.01 

19 

82 

27.43 

31.02 

33.88 

35.78 

36.58 

0.93 

0.04 

0.40 

0.23 

0.01 

18 

83 

27.47 

31.05 

33.91 

35.80 

36.58 

0.92 

0.03 

0.40 

0.23 

0.01 

17 

84 

27.51 

31.08 

33.93 

35.81 

36.58 

0.91 

0.03 

0.40 

0.22 

0.01 

16 

85 

27.55 

31.11 

33.96 

35.83 

36.59 

0.90 

0.03 

0.40 

0.22 

0.01 

15 

86 

27.59 

31.15 

33.98 

35.84 

36.59 

0.89 

0.02 

0.40 

0.22 

0.00 

14 

87 

27.63 

31.18 

34.00 

35.85 

36.59 

0.88 

0.02 

0.40 

0.21 

0.00 

13 

88 

27.67 

31.21 

34.03 

35.87 

36.59 

0.87 

0.02 

0.40 

0.21 

0.00 

12 

89 

27.71 

31.24 

34.05 

35.88 

36.59 

0.86 

0.02 

0.40 

0.21 

0.00 

11 

90 

27.74 

31.27 

34.07 

35.89 

36.59 

0.85 

0.01 

0.40 

0.20 

0.00 

10 

91 

27.78 

31.31 

34.10 

35.91 

36.59 

0.84 

0.01 

0.40 

0.20 

0.00 

09 

92 

27.82 

31.34 

34.12 

35.92 

36.59 

0.83 

0.01 

0.40 

0.20 

0.00 

08 

93 

27.86 

31.37 

34.14 

35.93 

36.60 

0.82 

0.01 

0.40 

0.20 

0.00 

07 

94 

27.90 

31.40 

34.16 

35.94 

36.60 

0.81 

0.01 

0.40 

0.19 

0.00 

06 

95 

27.94 

31.43 

34.18 

35.95 

36.60 

0.80 

0.00 

0.40 

0.19 

0.00 

05 

96 

27.97 

31.47 

34.21 

35.97 

36.60 

0.79 

0.00 

0.39 

0.19 

0.00 

04 

97 

28.01 

31.50 

34.23 

35.98 

36.60 

0.78 

0.00 

.  0.39 

0.18 

0.00 

03 

98 

28.05 

31.53 

34.25       35.99 

36.60 

0.77 

0.00 

0.39 

0.18 

0.00 

02 

99 

28.09 

31.56 

34.27 

36.00 

36.60 

0.76 

0.00 

0.39 

0.18 

0.00 

01 

100 

28.12 

31.59 

34.29 

36.01 

36.60 

0.74 

0.00 

0.39 

0.17 

0.00 

00 

Days.  1500    MOO    13OO     12OO       I  IOO 

30O        3OO 

5OO      4OO       CtOO     Days. 

.  —  Arg.  12'"  =  Arg.  12  —  20-00. 

289 


TABLES   XCVI.-CI. 


TABLES  XCVI. 

ARGUMENTS      so. 


XCVII. 
81. 


xcvm. 

8*. 


XCIX. 
§3. 


c. 

84. 


CI. 

48. 


Days. 

0 

100 

0 

Days. 

Days. 

0 

o 

1O 

O 

O 

to 

Days. 

llavs 

do 

0.16 

0.14 

0.93 

Dayu. 

100 

Days. 

0.0 

0.96 

o.oo 

0.68 

6.02 

(1 

0.75 

6.75 

lliivn. 

10.0 

01 

0.16 

0.14 

0.90 

99 

0.1 

0.89 

0.00 

0.69 

0.02 

0.76 

0.75 

9.9 

02 

0.16 

0.14 

0.87 

98 

0.2 

0.82 

0.00 

0.70 

0.01 

0.77 

0.74 

9.8 

03 

0.16 

0.14 

0.83 

97 

0.3 

0.76 

0.00 

0.71 

0.01 

0.78 

0.73 

9.7 

04 

0.16 

0.14 

0.80 

96 

0.4 

0.70 

0.00 

0.72 

0.00 

0.79 

0.72 

9.6 

05 

0.17 

0.13 

0.77 

95 

0.5 

0.64 

0.00 

0.73 

0.00 

0.79 

0.71 

9.5 

06 

0.17 

0.13 

0.73 

94 

0.6 

0.58 

0.00 

0.74 

0.00 

0.80 

0.70 

9.4 

07 

0.17 

0.13 

0.70 

93 

0.7 

0.53 

0.00 

0.75 

0.01 

0.81 

0.69 

9.3 

08 

0.17 

0.13 

0.66 

92 

0.8 

0.48 

0.00 

0.76 

0.02 

0.82 

0.68 

9.2 

09 

0.17 

0.13 

0.63 

91 

0.9 

0.43 

0.00 

0.77 

0.03 

0.83 

0.67 

9.1 

10 

0.18 

0.12 

0.59 

90 

1.0 

0.38 

0.00 

0.79 

0.04 

0.83 

0.66 

9.0 

11 

0.18 

0.12 

0.56 

89 

1.1 

0.34 

0.00 

0.80 

0.06 

0.84 

0.65 

8.9 

12 

0.18 

0.12 

-  0.52 

88 

1.2 

0.30 

0.00 

0.8  r 

0.08 

0.85 

0.63 

8.8 

13 

0.18 

0.12 

0.49 

87 

1.3 

0.26 

0.01 

0.82 

0.10 

0.86 

0.62 

8.7 

14 

0.18 

0.12 

0.45 

86 

1.4 

0.22 

0.01 

0.83 

0.12 

0.86 

0.61 

8.6 

15 

0.18 

0.11 

0.42 

85 

1.5 

0.18 

0.01 

0.84 

0.14 

0.87 

0.60 

8.5 

16 

0.18 

0.11 

0.39 

84 

1.6 

0.15 

0.01 

0.85 

0.17 

0.88 

0.59 

8.4 

17 

0.18 

0.11 

0.36 

83 

1.7 

0.12 

0.01 

0.87 

0.20 

0.89 

0.58 

8.3 

18 

0.19 

0.11 

0.33 

82 

1.8 

0.09 

0.01 

0.88 

0.23 

0.89 

0.57 

8.2 

19 

0.19 

0.11 

0.30 

81 

1.9 

0.07 

0.02 

0.89 

0.26 

0.90 

0.56 

8.1 

20 

0.19 

0.10 

0.27 

80 

2.0 

0.05 

0.02 

0.90 

0.29 

0.90 

0.5;') 

8.0 

21 

0.19 

0.10 

0.24 

79 

2.1 

0.03 

0.02 

0.91 

0.32 

0.91 

0.54 

7.9 

22 

0.19 

0.10 

0.22 

78 

2.2 

0.02 

0.02 

0.92 

0.35 

0.92 

<).r>:( 

7.8 

23 

0.19 

0.10 

0.19 

77 

2.3 

0.01 

0.03 

0.93 

0.39 

(1.92 

O..r)'_> 

7.7 

2i 

0.19 

0.10 

0.17 

76 

2.4 

0.00 

0.03 

0.94 

0.43 

0.93 

0.51 

7.6 

25 

0.20 

0.09 

0.15 

75 

2.5 

0.00 

0.03 

0.95 

0.47 

0.93 

0.50 

7.5 

26 

0.20 

0.09 

0.13 

74 

2.6 

0.00 

0.04 

0.96 

0.51 

0.94 

0.49 

7.4 

27 

0.20 

0.09 

0.11 

73 

2.7 

0.01 

0.04 

0.97 

0.55 

0.94 

0.48 

7.3 

28 

0.20 

0.09 

0.09 

72 

2.8 

0.01 

0.05 

0.98 

0.59 

0.95 

0.47 

7.2 

29 

0.20 

0.09 

0.08 

71 

2.9 

0.02 

0.05 

0.99 

0.63 

0.95 

0.46 

7.1 

30 

0.20 

0.08 

0.06 

70 

3.0 

0.03 

0.06 

1.00 

0.67 

0.96 

0.45 

7.0 

31 

0.20 

0.08 

0.05 

69 

3.1 

0.05 

0.06 

1.01 

0.71 

0.96 

0.44 

6.9 

32 

0.20 

0.08 

0.04 

68 

3.2 

0.07 

0.07 

1.02 

0.75 

0.96 

0.4.') 

6.8 

33 

0.20 

0.08 

0.03 

67 

3.3 

0.09 

0.07 

1.03 

0.79 

0.97 

0.42 

6.7 

34 

0.20 

0.08 

002 

66 

3.4 

0.11 

0.08 

1.04 

0.83 

0.97 

0.41 

6.6 

35 

0.20 

0.07 

0.01 

65 

3.5 

0.14 

0.08 

1.05 

0.86 

0.97 

0.40 

6.5 

36 

0.20 

0.07 

0.01 

64 

3.6 

0.17 

0.09 

1.06 

0.90 

0.98 

0..'!!) 

6.4 

37 

0.20 

0.07 

0.00 

63 

3.7 

0.20 

0.09 

1.07 

0.93 

0.98 

0.38 

6.3 

38 

0.20 

0.07 

0.00 

62 

3.8 

0.24 

0.10 

1.08 

0.96 

0.98 

0.37 

6.2 

39 

0.20 

0.07 

0.00 

61 

3.9 

0.28 

0.10 

1.09 

0.99 

0.98 

o.:«i 

6.1 

40 

0.20 

0.06 

0.00 

60 

4.0 

0.32 

0.11 

1.10 

1.02 

0.99 

0.35 

6.0 

41 

0.20 

0.06 

0.01 

59 

4.1 

0.37 

0.11 

1.11 

1.05 

0.99 

0.34 

5.9 

42 

0.20 

0.06 

0.02 

58 

4.2 

0.42 

0.12 

1.12 

1.08 

0.99 

0.3:t 

5.8 

43 

0.20 

0.06 

0.03 

57 

4.3 

0.47 

0.12 

1.13 

1.10 

0.99 

0.32 

5.7 

44 

0.20 

0.06 

0.0  i 

56 

4.4 

0.52 

0.13 

1.14 

1.12 

0.99 

0.31 

5.6 

45 

0.20 

0.06 

0.05 

55 

4.5 

0.57 

0.14 

1.15 

1.14 

.00 

0.30 

5.5 

46 

0.20 

0.06 

0.06 

54 

4.6 

0.63 

0.11 

1.16 

1.16 

.00 

0.29 

5.4 

47 

0.20 

0.05 

0.07 

H 

4.7 

0.69 

0.15 

1.17 

1.17 

.00 

0.28 

5.3 

48 

0.20 

0.05 

0.09 

52 

4.8 

0.75 

0.16 

1.18 

1.18 

.00 

0.27 

5.2 

III 

0.*) 

0.05 

0.11 

51 

4.9 

0.81 

0.17 

1.19 

1.19 

.00 

0.26 

5.1 

50 

0.20 

((.Of) 

0.13 

50 

5.0 

0.87 

0.18 

1.1!) 

1.19 

.00 

0.25 

5.0 

Days. 

300 

300 

100 

Days. 

Days. 

10 

30 

30 

10 

3O 

20 

Days. 

290 


TABLES   XCVI.-CI. 


TABLES          XCVI. 
ARGUMENTS      8O. 


XCVII. 
81. 


XCVIII. 


XCIX. 
83. 


c. 

84. 


CI. 

48. 


Days. 

0 

1OO 

o 

Days. 

Days. 

O 

G 

10 

O 

o 

10 

Days. 

ll.ivs. 

50 

0.20 

0.05 

0.13 

Lavs 

50 

Days. 

5.0 

0.87 

0.18 

1.19 

H 

1.19 

i'.oo 

0.25 

Days. 

5.0 

51 

0.20 

0.05 

0.15 

49 

5.1 

0.94 

0.18 

1.20 

1.20 

1.00 

0.24 

4.9 

5f2 

0.20 

0.05 

0.17 

48 

5.2 

1.01 

0.19 

1.21 

1.20 

1.00 

0.23 

4.8 

53 

0.20 

0.04 

0.20 

47 

5.3 

1.08 

0.20 

1.22 

1.20 

1.00 

0.22 

4.7 

51 

0.20 

0.04 

0.22 

46 

5.4 

1.15 

0.21 

1.22 

1.20 

1.00 

0.21 

4.6 

55 

0.20 

0.04 

0.25 

45 

5.5 

1.22 

0.22 

1.23 

1.19 

0.99 

0.21 

4.5 

56 

0.19 

0.04 

0.28 

44 

5.6 

1.29 

0.22 

1.24 

1.18 

0.99 

0.20 

4.4 

57 

0.19 

0.04 

0.30 

43 

5.7 

1.36 

0.23 

1.24 

1.17 

0.99 

0.19 

4.3 

58 

0.19 

0.04 

0.33 

42 

5.8 

1.44 

0.24 

1.25 

1.16 

0.99 

0.18 

4.2 

59 

0.19 

0.03 

0.36 

41 

5.9 

1.51 

0.25 

1.26 

1.14 

0.99 

0.17 

4.1 

60 

0.19 

0.03 

0.39 

40 

6.0 

1.59 

0.26 

1.26 

1.12 

0.99 

0.17 

4.0 

61 

0.19 

0.03 

0.42 

39 

6.1 

1.66 

0.27 

1.27 

1.10 

0.98 

0.16 

3.9 

62 

0.19 

0.03 

0.46 

38 

6.2 

1.74 

0.28 

1.27 

1.08 

0.98 

0.15 

3.8 

63 

0.19 

0.03 

0.49 

37 

6.3 

1.81 

0.29 

1.28 

1.06 

0.98 

.0.14 

3.7 

64 

0.19 

0.03 

0.53 

36 

6.4 

1.89 

0.30 

1.29 

1.03 

0.98 

0.14 

3.6 

65 

0.19 

0.03 

0.56 

35 

6.5 

1.97 

0.31 

1.29 

1.00 

0.97 

0.13 

3.5 

66 

0.19 

0.03 

0.60 

34 

6.6 

2.05 

0.32 

1.30 

0.97 

0.97 

0.12 

3.4 

67 

0.19 

0.02 

0.63 

33 

6.7 

2.12 

0.33 

1.30 

0.94 

0.97 

0.12 

3.3 

68 

0.19 

0.02 

0.67 

32 

6.8 

2.20 

0.34 

1.31 

0.91 

0.96 

0.11 

3.2 

69 

0.19 

0.02 

0.70 

31 

6.9 

2.27 

0.35 

1.31 

0.87 

0.96 

0.10 

3.1 

70 

0.19 

0.02 

0.74 

30 

7.0 

2.34 

0.36 

1.32 

0.83 

0.96 

0.10 

3.0 

71 

0.18 

0.02 

0.77 

29 

7.1 

2.41 

0.37 

1.32 

0.80 

0.95 

0.09 

2.9 

72 

0.18 

0.02 

0.81 

28 

7.2 

2.48 

0.38 

1.33 

0.76 

0.95 

0.08 

2.8 

73 

0.18 

0.02 

0.84 

27 

7.3 

2.55 

0.39 

1.33 

0.72 

0.94 

0.08 

2.7 

71 

0.18 

0.02 

0.88 

26 

7.4 

2.62 

0.40 

1.34 

0.68 

0.94 

0.07 

2.6 

75 

0.18 

0.02 

0.91 

25 

7.5 

2.69 

0.41 

1.34 

0.64 

0.93 

0.07 

2.5 

76 

0.18 

0.01 

0.94 

24 

7.6 

2.76 

0.42 

1.34 

0.61 

0.93 

0.06 

2.4 

77 

0.18 

0.01 

0.98 

23 

7.7 

2.82 

0.43 

1.35 

0.57 

0.92 

0.06 

2.3 

78 

0.17 

0.01 

1.01 

22 

7.8 

2.88 

0.44 

1.35 

0.53 

0.92 

0.05 

2.2 

79 

0.17 

0.01 

1.04 

21 

7.9 

2.94 

0.45 

1.35 

0.49 

0.91 

0.05 

2.1 

80 

0.17 

0.01 

1.07 

20 

8.0 

3.00 

0.46 

1.36 

0.45 

0.91 

0.04 

2.0 

81 

0.17 

0.01 

1.10 

19 

8.1 

3.05 

0.47 

1.36 

0.41 

0.90 

0.04 

1.9 

82 

0.17 

0.01 

1.13 

18 

8.2 

3.10 

0.48 

.36 

0.37 

0.90 

0.04 

1.8 

83 

0.17 

0.01 

1.16 

17 

8.3 

3.15 

0.49 

.37 

0.33 

0.89 

0.03 

1.7 

84 

0.17 

0.01 

1.18 

16 

8.4 

3.20 

0.50 

.37 

0.30 

0.88 

0.03 

1.6 

85 

0.17 

0.00 

1.21 

15 

8.5 

3.25 

0.51 

.37 

0.27 

0.88 

0.03 

1.5 

86 

0.16 

0.00 

1.23 

14 

8.6 

3.29 

0.52 

.38 

0.24 

0.87 

0.02 

1.4 

87 

0.16 

0.00 

1.25 

13 

8.7 

3.33 

0.53 

.38 

0.21 

0.87 

0.02 

1.3 

88 

0.16 

0.00 

1.27 

12 

8.8 

3.37 

0.54 

.38 

0.18 

0.86 

0.02 

12 

89 

0.16 

0.00 

1.29 

11 

8.9 

3.41 

0.55 

.38 

0.15 

0.85 

0.02 

1.1 

90 

0.16 

0.00 

1.31 

10 

9.0 

3.44 

0.57 

.39 

0.12 

0.84 

0.01 

1.0 

91 

0.16 

0.00 

1.33 

09 

9.1 

3.47 

0.58 

.39 

0.10 

0.84 

0.01 

0.9 

92 

0.15 

0.00 

1.34 

08 

9.2 

3.50 

0.59 

.39 

0.08 

0.83 

0.01 

0.8 

93 

0.15 

0.00 

1.36 

07 

9.3 

3.52 

0.60 

.39 

0.06 

0.82 

0.01 

0.7 

91 

0.15 

0.00 

1.37 

06 

9.4 

3.54 

0.61 

1.39 

0.04 

0.81 

0.00 

0.6 

95 

0.15 

0.00 

1.38 

05 

9.5 

3.58 

0.62 

1.40 

0.03 

0.80 

0.00 

0.5 

96 

0.15 

0.00 

1.39 

04 

9.6 

3.58 

0.63 

.40 

0.02 

0.79 

0.00 

0.4 

97 

0.14 

0.00 

1.39 

03 

9.7 

3.59 

0.64 

.40 

0.01 

0.78 

0.00 

0.3 

98 

0.14 

0.00 

1.40 

02 

9.8 

3.60 

0.65 

.40 

0.00 

0.77 

0.00 

0.2 

99 

0.14 

0.00 

1.40 

01 

9.9 

3.60 

0.66 

.40 

0.00 

0.76 

0.00 

0.1 

100 

0.14 

0.00 

1.40 

0 

10.0 

3.60 

0.68 

.40 

0.00 

0.75 

0.00 

0.0 

Days. 

30O 

20O 

IOO 

Days. 

Days. 

10 

3O 

20 

10 

30 

20 

Days. 

291 


TABLES  CII.-CVII. 


TABLES 
ARGUMENTS 


CII. 
85. 


cm. 

86. 


CIV. 
87. 


cv. 

88. 


CVI. 
89. 


cvn. 

90. 


Days.      O             1O 

0           10 

O 

0 

0 

O           10    Days. 

I)ay> 

0.0 

0.64 

6'.04 

o".oi 

0.28 

0.37 

0.12 

0.40 

0.35 

0.27 

l)l>S. 

10.0 

0.1 

0.63 

0.05 

0.01 

0.28 

0.36 

0.11 

0.40 

0.35 

0.27 

9.9 

0.2 

0.62 

0.05 

0.00 

0.29 

0.35 

0.10 

0.40 

0.35 

0.27 

9.8 

0.3 

0.61 

0.06 

0.00 

0.29 

0.33 

0.09 

0.40 

0.35 

0.26 

9.7 

0.4 

0.60 

0.07 

0.00 

0.30 

0.32 

0.08 

0.40 

0.35 

0.26 

9.6 

0.5 

0.59 

0.07 

0.00 

0.30 

0.30 

0.08 

0.40 

0.36 

0.26 

9.5 

0.6 

0.58 

0.08 

0.00 

0.31 

0.29 

0.07 

0.40 

0.36 

0.26 

9.4 

0.7 

0.57 

0.09 

0.00 

0.31 

0.27 

0.06 

0.39 

0.36 

0.25 

9.3 

0.8 

0.56 

0.09 

0.00 

0.32 

0.26 

0.06 

0.39 

0.36 

0.25 

9.2 

0.9 

0.55 

0.10 

0.00 

0.32 

0.24 

0.05 

0.39 

0.36 

0.25 

9.1 

1.0 

0.54 

0.11 

0.00 

0.33 

0.22 

0.05 

0.38 

0.37 

0.24 

9.0 

1.1 

0.53 

0.12 

0.00 

0.33 

0.21 

0.04 

0.38 

0.37 

0.24 

8.9 

1.2 

0.52 

0.13 

0.00 

0.34 

0.19 

0.03 

0.37 

0.37 

0.24 

8.8 

1.3 

0.51 

0.13 

0.00 

0.35 

0.17 

0.03 

0.37 

0.37 

0.23 

8.7 

1.4 

0.50 

0.14 

0.00 

0.35 

0.15 

0.02 

0.36 

0.37 

0.23 

8.6 

1.5 

0.49 

0.15 

0.00 

0.36 

0.13 

0.02 

0.35 

0.38 

0.23 

8.5 

1.6 

0.48 

0.16 

0.00 

0.36 

0.11 

0.02 

0.34 

0.38 

0.22 

8.4 

1.7 

0.47 

0.17 

0.00 

0.37 

0.10 

0.02 

0.33 

0.38 

0.22 

8.3 

1.8 

0.46 

0.17 

0.01 

0.37 

0.08 

0.01 

0.32 

0.38 

0.21 

8.2 

1.9 

0.45 

0.18 

0.01 

0.38 

0.07 

0.01 

0.31 

0.38 

0.21 

8.1 

2.0 

0.44 

0.19 

0.01 

0.38 

0.06 

0.01 

0.29 

0.39 

0.20 

8.0 

2.1 

0.43 

0.20 

0.01 

0.38 

0.05 

0.01 

0.28 

0.39 

0.20 

7.9 

2.2 

0.42 

0.21 

0.01 

0.39 

0.04 

0.00 

0.27 

0.39 

0.20 

7.8 

2.3 

0.41 

0.22 

0.01 

0.39 

0.03 

0.00 

0.26 

0.39 

0.19 

7.7 

2.4 

0.40 

0.23 

0.01 

0.40 

0.02 

0.00 

0.25 

0.39 

0.19 

7.6 

2.5 

0.38 

0.24 

0.02 

0.40 

0.01 

0.00 

0.23 

0.39 

0.18 

7.5 

2.6 

0.37 

0.25 

0.02 

0.40 

0.01 

0.00 

0.22 

0.39 

0.18 

7.4 

2.7 

0.36 

0.26 

0.02 

0.41 

0.00 

0.00 

0.21 

0.40 

0.18 

7.3 

2.8 

0.35 

0.27 

0.02 

0.41 

0.00 

0.00 

0.20 

0.40 

0.17 

7.2 

2.9 

0.34 

0.28 

0.02 

0.41 

0.00 

0.00 

0.18 

0.40 

0.17 

7.1 

3.0 

0.33 

0.29 

0.02 

0.42 

0.00 

0.00 

0.17 

0.40 

0.16 

7.0 

3.1 

0.32 

0.30 

0.02 

0.42 

0.00 

0.00 

0.16 

0.40 

0.16 

6.9 

3.2 

0.31 

0.31 

0.02 

0.43 

0.01 

0.00 

0.15 

0.40 

0.16 

6.8 

3.3 

0.30 

0.32 

0.02 

0.43 

0.01 

0.00 

0.14 

0.40 

0.15 

6.7 

3.4 

0.29 

0.33 

0.03 

0.43 

0.02 

0.01 

0.12 

0.40 

0.15 

6.6 

3.5 

0.28 

0.34 

0.03 

0.44 

0.03 

0.01 

0.11 

0.40 

0.14 

6.5 

3.6 

0.27 

0.35 

0.03 

0.44 

0.04 

0.01 

0.10 

0.40 

0.14 

6.4 

3.7 

0.26 

0.36 

0.03 

0.45 

0.05 

0.02 

0.09 

0.40 

0.14 

6.3 

3.8 

0.25 

0.37 

0.03 

0.45 

0.06 

0.02 

0.08 

0.40 

0.13 

6.2 

3.9 

0.24 

0.38 

0.03 

0.45 

0.07 

0.02 

0.07 

0.40 

0.13 

6.1 

4.0 

0.23 

0.39 

0.04 

0.46 

0.09 

0.03 

0.06 

0.40 

0.12 

6.0 

4.1 

0.22 

0.40 

0.04 

0.46 

0.10 

0.03 

0.05 

0.40 

0.12 

5.9 

4.2 

0.21 

0.41 

0.04 

0.47 

0.12 

0.04 

0.04 

0.40 

0.12 

5.8 

4.3 

0.20 

0.42 

0.04 

0,17 

0.13 

0.04 

0.03 

0.40 

0.11 

5.7 

4.4 

0.19 

0.43 

0.05 

0.47 

0.15 

0.05 

0.02 

0.40 

0.11 

5.6 

4.5 

0.18 

0.44 

0.05 

0.48 

0.17 

0.06 

0.02 

0.40 

0.11 

5.5 

4.6 

0.17 

0.45 

0.05 

0.48 

0.18 

0.06 

0.01 

0.40 

0.10 

5.4 

4.7 

0.17 

0.46 

0.06 

0.49 

0.20 

0.07 

0.01 

0.40 

0.10 

5.3 

4.8 

0.16 

0.47 

0.06 

0.49 

0.22 

0.07 

0.00 

0.40 

0.10 

5.2 

4.9 

0.15 

0.48 

0.06 

0.49 

0.24 

0.08 

0.00 

0.40 

0.10 

5.1 

5.0 

0.14 

0.49 

0.07 

0.50 

0.26 

0.09 

0.00 

0.40 

0.09 

5.0 

Days.    90          90             3O          9O 

1O 

10 

10 

3O        2O    Days. 

2! '2 


TABLES  CII.-CYIL 


TABLES 

ARGUMENTS 


CII. 
85. 


era. 

86. 


CIV. 

87. 


cv. 

88. 


CVI. 
89. 


CVII. 
9O. 


Days.      O            1O 

o        10 

O 

0 

0 

O           1O     Days. 

l>avj. 

5.0 

0.14 

0.49 

6.07 

0.50 

0.26 

0.09 

0.00 

0"40 

0.09 

Davs. 

5.0 

5.1 

0.13 

0.50 

0.07 

0.50 

0.28 

0.09 

0.00 

0.40 

0.09 

4.9 

5.2 

0.12 

0.51 

0.07 

0.51 

0.29 

0.10 

0.00 

0.40 

0.09 

4.8 

5.3 

0.12 

0.52 

0.07 

0.51 

0.31 

0.11 

0.00 

0.39 

0.08 

4.7 

5.4 

0.11 

0.53 

0.08 

0.51 

0.32 

0.12 

0.00 

0.39 

0.08 

4.6 

5.5 

0.10 

0.54 

0.08 

0.52 

0.33 

0.13 

0.00 

0.39 

0.08 

4.5 

5.6 

0.10 

0.55 

0.08 

0.52 

0.34 

0.13 

0.01 

0.39 

0.07 

4.4 

5.7 

0.09 

0.56 

0.09 

0.53 

0.35 

0.14 

0.01 

0.39 

0.07 

4.3 

5.8 

0.08 

0.57 

0.09 

0.53 

0.36 

0.15 

0.02 

0.38 

0.07 

4.2 

5.9 

0.08 

0.58 

0.09 

0.53 

0.37 

0.16 

0.02 

0.38 

0.07 

4.1 

6.0 

0.07 

0.59 

0.10 

0.54 

0.38 

0.17 

0.03 

0.38 

0.06 

4.0 

6.1 

0.07 

0.60 

0.10 

0.54 

0.38 

0.17 

0.03 

0.38 

0.06 

3.9 

6.2 

0.06 

0.61 

0.10 

0.54 

0.39 

0.18 

0.04 

0.38 

0.06 

3.8 

6.3 

0.06 

0.62 

0.11 

0.54 

0.39 

0.19 

0.05 

0.38 

0.05 

3.7 

6.4 

0.05 

0.63 

0.11 

0.54 

0.40 

0.20 

0.06 

0.38 

0.05 

3.6 

6.5 

0.05 

0.64 

0.11 

0.55 

0.40 

0.21 

0.07 

0.37 

0.05 

3.5 

6.6 

0.04 

0.65 

0.12 

0.55 

0.40 

0.22 

0.08 

0.37 

0.04 

3.4 

6.7 

0.04 

0.65 

0.12 

0.55 

0.40 

0.23 

0.09 

0.37 

0.04 

3.3 

6.8 

0.03 

0.66 

0.13 

0.55 

0.39 

0.24 

0.10 

0.37 

0.04 

3.2 

6.9 

0.03 

0.67 

0.13 

0.55 

0.39 

0.25 

0.11 

0.37 

0.04 

3.1 

7.0 

0.02 

0.68 

0.14 

0.56 

0.38 

0.26 

0.13 

0.36 

0.03 

3.0 

7.1 

0.02 

0.69 

0.14 

0.56 

0.37 

027 

0.14 

0.36 

0.03 

2.9 

7.2 

0.02 

0.69 

0.14 

0.56 

0.36 

0.28 

0.15 

0.36 

0.03 

2.8 

7.3 

0.01 

0.70 

0.15 

0.56 

0.35 

0.29 

0.16 

0.36 

0.03 

2.7 

7.4 

0.01 

0.70 

0.15 

0.56 

0.34 

0.30 

0.17 

0.36 

0.03 

2.6 

7.5 

0.01 

0.71 

0.16 

0.57 

0.32 

0.30 

0.19 

0.35 

0.03 

2.5 

7.6 

0.01 

0.72 

0.16 

0.57 

0.31 

0.31 

0.20 

0.35 

0.02 

2.4 

7.7 

0.00 

0.72 

0.16 

0.57 

0.2!) 

0.32 

0.21 

O.od 

0.02 

2.3 

7.8 

0.00 

0.73 

0.17 

0.57 

0.28 

0.32 

0.22 

0.35 

0.02 

2.2 

7.9 

0.00 

0.73 

0.17 

0.57 

0.26 

0.33 

0.23 

0.35 

0.02 

2.1 

8.0 

0.00 

0.74 

0.18 

0.58 

0.24 

0.33 

0.25 

0.34 

0.02 

2.0 

8.1 

0.00 

0.74 

0.18 

0.58 

0.23 

0.34 

0.26 

0.34 

0.01 

1.9 

8.2 

0.00 

0.75 

0.19 

0.58 

021 

0.35 

0.27 

0.34 

0.01 

1.8 

8.3 

0.00 

0.75 

0.19 

0.58 

0.19 

0.35 

0.28 

0.34 

0.01 

1.7 

8.4 

0.00 

0.76 

0.20 

0.58 

0.17 

0.36 

0.30 

0.33 

0.01 

1.6 

8.5 

0.00 

0.76 

0.20 

0.59 

0.15 

0.36 

0.31 

0.33 

0.01 

1.5 

8.6 

0.00 

0.77 

0.21 

0.59 

0.13 

0.36 

0.32  • 

0.33 

0.01 

1.4 

8.7 

0.01 

0.77 

0.21 

0.59 

0.11 

0.37 

0.33 

0.32 

0.00 

1.3 

8.8 

0.0! 

0.77 

0.22 

0.59 

0.10 

0.37 

0.34 

0.32 

0.00 

1.2 

8.9 

0.01 

0.78 

0.22 

0.59 

0.08 

0.38 

0.35 

0.32 

0.00 

1.1 

9.0 

0.01 

0.78 

0.23 

0.60 

0.07 

0.38 

0.36 

0.31 

0.00 

1.0 

9.1 

0.01 

0.78 

0.23 

0.60 

0.06 

0.38 

0.37 

0.31 

0.00 

0.9 

9.2 

0.02 

0.79 

0.24 

0.60 

0.05 

0.39 

0.38 

0.31 

0.00 

0.8 

9.3 

0.02 

0.79 

0.24 

0.60 

0.04 

0.39 

0.38 

0.30 

0.00 

0.7 

9.4 

0.02 

0.79 

0.25 

0.60 

0.03 

0.39 

0.39 

0.30 

0.00 

0.6 

9.5 

0.03 

0.79 

0.25 

0.60 

0.02 

0.40 

0.39 

0.30 

0.00 

0.5 

9.6 

0.03 

0.79 

0.26 

0.60 

0.01 

0.40 

0.39 

0.29 

0.00 

0.4 

9.7 

0.03 

0.80 

0.26 

0.60 

0.01 

0.40 

0.40 

0.29 

0.00 

0.3 

9.8 

0.04 

0.80 

0.27 

0.60 

0.00 

0.40 

0.40 

0.28 

0.00 

0.2 

9.9 

0.04 

0.80 

0.27 

0.60 

0.00 

0.40 

0.40 

0.28 

0.00 

0.1 

10.0 

0.04 

0.80 

0.28 

0.60 

0.00 

0.40 

0.40 

0.27 

0.00 

0.0 

Days.     3O          2O 

:to        20 

10 

10 

10 

3O        2O    Days. 

293 


TABLE  CVIII.    ARGUMENT  77. 


Equation  =  6".2  —  6".  18  sin.  3$. 


O 

O 

o 

o 

o 

o 

o 

o 

210 

211 

213 

214 

216 

217 

2is 

219 

y 

90 

91 

92 

93 

94 

93 

96 

97 

98 

99 

y 

33O 

331 

332 

333 

334 

333 

336 

337 

338 

339 

6 

12.38 

12.37 

12.35 

12.30 

12.24 

12.17 

12.08 

1  i'  .97 

11.85 

ii'.7i 

3600 

100 

12.38 

12.37 

12.35 

12.30 

12.24 

12.17 

12.08 

11.97 

11.85 

11.71 

3500 

200 

12.38 

12.37 

12.35 

12.30 

12.24 

12  17 

12.08 

11.97 

11.85 

11.71 

3100 

300 

12.38 

12.37 

12.35 

12.30 

12.24 

12.17 

12.07 

11.96 

11.84 

11.70 

3300 

400 

12.38 

12.37 

12.35 

12.30 

12.24 

12.16 

12.07 

11.96 

11.84 

11.70 

3200 

500 

12.38 

12.37 

12.34 

12.30 

12.24 

12.16 

12.07 

11.96 

11.83 

11.69 

3100 

600 

12.38 

12.37 

12.31 

12.30 

12.23 

12.16 

12.06 

11.95 

11.83 

11.69 

3000 

700 

12.38 

12.37 

12.34 

12.30 

12.23 

12.16 

12.06 

11.95 

11.83 

11.69 

2900 

800 

12.38 

12.37 

12.34 

12.29 

12.23 

12.15 

12.06 

11.95 

1  1  .82 

11.68 

2800 

900 

12.38 

12.37 

12.34 

12.29 

12.23 

12.15 

12.05 

11.94 

11.82 

11.68 

2700 

1000 

12.38 

12.37 

12.34 

12.29 

12.23 

12.15 

12.05 

11.94 

11.81 

11.67 

2600 

1100 

12.38 

12.36 

-    12.34 

12.29 

12.23 

12.15 

12.05 

11.94 

11.81 

11.67 

2500 

1200 

12.38 

12.36 

12  33 

12.29 

12.22 

12.14 

12.04 

11.93 

11.80 

11.66 

2400 

1300 

12.38 

12.36 

12.33 

12.29 

12.22 

12.14 

12.04 

11.93 

11.80 

11.66 

2300 

1400 

12.38 

12.36 

12.33 

12.29 

12.22 

12.14 

12.04 

11.93 

11.80 

11.66 

2200 

1500 

12.38 

12.36 

12.33 

12.28 

12.22 

12.14 

12.04 

11.92 

11.79 

11.65 

2100 

1600 

12.38 

12.36 

"12.33 

12.28 

12.22 

12.13 

12.03 

11.92 

11.79 

11.65 

2000 

1700 

12.38 

12.36 

12.33 

12.28 

12.21 

12.13 

12.03 

11.92 

11.78 

11.64 

1900 

1800 

12.38 

12.36 

12.33 

12.28 

12.21 

12.13 

12.03 

11.91 

11.78 

11.64 

1800 

1900 

12.38 

12.36 

12.33 

12.28 

12.21 

12.13 

12.03 

11.91 

11.77 

11.64 

1700 

2000 

12.38 

12.36 

12.33 

12.28 

12.21 

12.12 

12.02 

11.91 

11.77 

11.63 

1600 

2100 

12.38 

12.36 

12.32 

12.28 

12.21 

12.12 

12.02 

11.90 

11.77 

11.63 

1500 

2200 

12.38 

12.36 

12.32 

12.27 

12.20 

12.12 

12.02 

11.90 

11.76 

11.62 

1400 

2300 

12.38 

12.36 

12.32 

12.27 

12.20 

12.12 

12.02 

11.90 

11.76 

11.62 

1300 

2400 

12.38 

12.36 

12.32 

12.27 

12.20 

12.11 

12.01 

11.89 

11.75 

11.61 

1200 

2500 

12.38 

12.36 

12.32 

12.27 

12.20 

12.11 

12.01 

11.89 

11.75 

11.61 

1100 

2600 

12.38 

12.36 

12.32 

12.27 

12.20 

12.11 

12.01 

11.89 

11.75 

11.60 

1000 

2700 

12.38 

12.36 

12.32 

12.26 

12.19 

12.11 

12.00 

11.88 

11.74 

11.60 

900 

2800 

12.38 

12.36 

12.32 

12.26 

12.19 

12.10 

12.00 

11.88 

11.74 

11.59 

800 

2900 

12.38 

12.36 

12.32 

12.26 

12.19 

12.10 

12.00 

11.88 

11.74 

11.59 

700 

3000 

12.37 

12.36 

12.31 

12.26 

12.19 

12.10 

11.99 

11.87 

11.73 

11.58 

600 

3100 

12.37 

12.35 

12.31 

12.25 

12.18 

12.10 

11.99 

11.87 

11.73 

11.58 

500 

3200 

12.37 

12.35 

12.31 

12.25 

12.18 

12.09 

11.99 

11.87 

11.73 

11.57 

400 

8800 

13.87 

12.35 

12.31 

12.25 

12.18 

12.09 

11.98 

11.86 

11.72 

11.57 

300 

8400 

12.37 

12.35 

12.31 

12.25 

12.18 

12.09 

11.98 

11.86 

11.72 

11.56 

200 

3500 

12.37 

12.35 

12.31 

12.25 

12.17 

12.09 

11.98 

11.86 

11.72 

11.50 

100 

3600 

12.37 

12.35 

12.30 

12.24 

12.17 

12.08 

11.97 

11.85 

11.71 

11.55 

0 

O 

89 

O 

88 

O 

87 

86 

83 

84 

83 

83 

81 

O 

8O 

1 

209 

208 

207 

206 

2O3 

204 

2O3 

202 

201 

2OO 

y 

3'29 

32* 

327 

326 

323 

324 

323 

322 

321 

320 

294 


TABLE  CVIII.    ARGUMENT  77. 


Equation  =  6".2  —  6".  18  sin.  3$. 


22O 

o 

221 

222 

223 

224 

225 

226 

227 

228 

229 

y 

100 

IO1 

1O2 

1O3 

104 

105 

106 

1O7 

108 

1O9 

y 

34O 

341 

342 

343 

344 

345 

346 

347 

348 

319 

n 

0 

11.55 

11.38 

11.20 

11.  00 

10.79 

10.57 

10.33 

10.09 

9.83 

9.57 

3600 

100 

11.55 

11.38 

11.20 

11.00 

10.79 

10.57 

10.33 

10.09 

9.83 

9.57 

3500 

200 

11.55 

11.37 

11.19 

10.99 

10.78 

1056 

10.32 

10.08 

9.82 

9.56 

3400 

300 

11.54 

11.37 

11.19 

10.99 

10.78 

10.55 

10.31 

10.07 

9.81 

9.55 

3300 

400 

11.53 

11.36 

11.18 

10.98 

10.77 

10.55 

10.31 

10.06 

9.80 

9.54 

3200 

500 

11.53 

11.36 

11.18 

10.98 

10.77 

10.54 

10.30 

10.06 

9.80 

9.53 

3100 

600 

11.52 

11.35 

11.17 

10.97 

10.76 

10.53 

10.29 

10.05 

9.79 

9.53 

3000 

700 

11.52 

11.35 

11.17 

10.96 

10.75 

10.53 

10.29 

10.04 

9.78 

9.52 

2900 

800 

11.51 

11.34 

11.16 

10.96 

10.75 

10.52 

10.28 

10.03 

9.78 

9.51 

2800 

900 

11.51 

11.34 

11.16 

10.95 

10.74 

10.51 

10.27 

10.03 

9.77 

9.50 

2700 

1000 

11.50 

11.33 

11.15 

10.95 

10.74 

10.51 

10.27 

10.02 

9.76 

9.49 

2600 

1100 

11.50 

11.33 

11.15 

10.94 

10.73 

10.50 

10.26 

10.01 

9.75 

9.48 

2500 

1200 

11.49 

11.32 

11.14 

10.93 

10.72 

10.49 

10.25 

10.00 

9.74 

9.47 

2400 

1300 

11.49 

11.32 

11.14 

10.93 

10.72 

10.49 

10.25 

10.00 

9.74 

9.47 

2300 

1400 

11.49 

11.31 

11.13 

10.92 

10.71 

10.48 

10.24 

9.99 

9.73 

9.46 

2200 

1500 

11.48 

11.31 

11.13 

10.92 

10.71 

10.47 

10.23 

9.98 

9.72 

9.45 

2100 

1600 

11.48 

11.30 

11.12 

10.91 

10.70 

10.47 

10.23 

9.98 

9.72 

9.44 

2000 

1700 

11.47 

11.30 

11.12 

10.91 

10.70 

10.46 

10.22 

9.97 

9.71 

9.44 

1900 

1800 

11.47 

11.29 

11.11 

10.90 

10.69 

10.45 

10.21 

9.96 

9.70 

9.43 

1800 

1900 

11.46 

11.29 

11.10 

10.89 

10.68 

10.45 

10.21 

9.96 

9.70 

9.42 

1700 

2000 

11.46 

11.28 

11.10 

10.89 

10.68 

10.44 

10.20 

9.95 

9.69 

9.41 

1600 

2100 

11.46 

11.28 

11.09 

10.88 

10.67 

10.43 

10.19 

9.94 

9.68 

9.40 

1500 

2200 

11.45 

11.27 

11.09 

10.88 

10.67 

10.43 

10.19 

9.94 

9.68 

9.40 

1400 

2300 

11.45 

11.27 

11.08 

1087 

10.6, 

1042 

10.18 

9.93 

9.67 

9.39 

1300 

2400 

11.44 

11.26 

11.07 

10.86 

10.65 

10.41 

10.17 

9.92 

9.66 

9.38 

1200 

2500 

11.44 

11.26 

11.07 

10.86 

10.65 

10.41 

10.17 

9.92 

9.  S6 

9.38 

1100 

2600 

11.43 

11.25 

11.06 

10.85 

10.64 

10.40 

10.16 

9.91 

9.65 

9.37 

1000 

2700 

11.43 

11.25 

11.06 

10.85 

10.63 

10.39 

10.15 

9.90 

9.64 

9.36 

900 

2800 

11.42 

11.24 

11.05 

10.84 

10.63 

10.39 

10.15 

9.89 

9.63 

9.35 

800 

2900 

11.42 

11.24 

11.04 

10.84 

10.62 

10.38 

10.14 

9.89 

9.63 

9.34 

700 

3000 

11.41 

11.23 

11.04 

10.83 

10.61 

10.37 

10.13 

9.88 

9.62 

9.34 

600 

3100 

11.41 

11.23 

11.03 

10.82 

10.61 

10.37 

10.13 

9.87 

9.61 

9.33 

500 

3200 

11.40 

11.22 

11.03 

10.82 

10.60 

10.36 

10.12 

9.86 

9.60 

9.32 

400 

3300 

11.40 

11.22 

11.02 

10.81 

10.59 

10.85 

10.11 

9.86 

9.60 

9.31 

300 

3400 

11.39 

11.21 

11.02 

10.81 

10.59 

10.35 

10.11 

9.85 

9.59 

9.31 

200 

3500 

11.39 

11.21 

11.01 

10.80 

10.58 

10.34 

10.10 

9.84 

9.58 

9.30 

100 

3600 

11.38 

11.20 

11.00 

10.79 

10.57 

10.33 

10.09 

9.83 

9.57 

9.29 

0 

7b 

78 

O 

77 

76 

75 

74 

73 

72 

71 

O 

7O 

9 

199 

198 

197 

196 

195 

194 

193 

192 

191 

190 

f 

319 

318 

317 

316 

315 

314 

313 

312 

311 

31O 

295 


TABLE  CVIIL    ARGUMENT  77. 


Equation  =  6".2  —  6".18  sin.  3y. 


83O 

831 

838 

333 

334 

835 

836 

237 

838 

839 

I 

110 

111 

113 

113 

114 

115 

110 

117 

118 

119 

y 

35O 

351 

353 

353 

354 

355 

350 

357 

358 

359 

fl 

0 

9.29 

9.01 

8.71 

// 

8.41 

8.11 

7.80 

7.48 

7.17 

6.85 

6.52 

3600 

100 

9.29 

9.01 

8.71 

8.41 

8.11 

7.80 

7.48 

7.17 

6.85 

6.52 

3500 

200 

9.28 

9.00 

8.70 

8.40 

8.10 

7.79 

7.47 

7.16 

6.84 

6.51 

3400 

300 

9.27 

8.99 

8.69 

8.39 

8.09 

7.78 

7.46 

7.15 

6.83 

6.50 

3300 

400 

9.26 

8.98 

8.68 

8.38 

8.08 

7.77 

7.45 

7.14 

6.82 

6.49 

3200 

500 

9.26 

8.97 

8.67 

8.37 

8.07 

7.76 

7.44 

7.13 

6.81 

6.48 

3100 

600 

9.25 

8.96 

8.66 

8.36 

8.06 

7.75 

7.43 

7.12 

6.80 

6.47 

3000 

700 

9.24 

8.96 

8.66 

8.36 

8.06 

7.74 

7.42 

7.11 

6.79 

6.47 

2900 

800 

9.23 

8.95 

8.65 

8.35 

8.05 

7.73 

7.42 

7.10 

6.78 

6.46 

2800 

900 

9.23 

8.94 

8.64 

8.34 

8.04 

7.72 

7.41 

7.09 

6.77 

6.45 

2700 

1000 

9.22 

8.93 

8.63 

8.33 

8.03 

7.71 

7.40 

7.08 

6.76 

6.44 

2600 

1100 

9.21 

8.92 

8.62 

8.32 

8.02 

7.70 

7.39 

7.07 

6.75 

6.43 

2500 

1200 

9.20 

8.91 

8.61 

8.31 

8.01 

7.69 

7.38 

7.06 

6.74 

6.42 

2400 

1300 

9.20 

8.91 

8.61 

8.31 

8.01 

7.69 

7.37 

7.06 

6.74 

6.42 

2300 

1400 

9.19 

8.90 

8.60 

8.30 

8.00 

7.68 

7.36 

7.05 

6.73 

6.41 

2200 

1500 

9.18 

8.89 

8.59 

8.29 

7.99 

7.67 

7.35 

7.04 

6.72 

6.40 

2100 

1600 

9.17 

8.88 

8.58 

8.28 

7.98 

7.66 

7.35 

7.03 

6.71 

6.39 

2000 

1700 

9.16 

8.87 

8.57 

8.27 

7.97 

7.65 

7.34 

7.02 

6.70 

6.38 

1900 

1800 

9.15 

8.86 

8.56 

8.26 

7.96 

7.64 

7.33 

7.01 

6.69 

6.37 

1800 

1900 

9.15 

8.86 

8.56 

8.26 

7.95 

7.63 

7.32 

7.00 

6.68 

6.36 

1700 

2000 

9.14 

8.85 

8.55 

8.25 

7.94 

7.63 

7.31 

6.99 

6.67 

6.35 

1600 

2100 

9.13 

8.84 

8.54 

8.24 

7.93 

7.62 

7.30 

6.98 

6.66 

6.34 

1500 

2200 

9.12 

8.83 

8.53 

8.23 

7.92 

7.61 

7.29 

6.97 

6.65 

6.:W 

1400 

2300 

9.11 

8.82 

8.52 

8.22 

7.91 

7.60 

7.28 

6.96 

6.64 

(i.:« 

moo 

2400 

9.10 

8.81 

8.51 

8.21 

7.90 

7.59 

7.27 

6.95 

6.63 

6.31 

1200 

2500 

9.10 

8.81 

8.51 

8.21 

7.90 

7.58 

7.27 

6.95 

6.63 

6.31 

1100 

2600 

9.09 

8.80 

8.50 

8.20 

7.89 

7.57 

7.26 

6.94 

6.62 

6.30 

1000 

2700 

9.08 

8.79 

8.49 

8.19 

7.88 

7.57 

7.25 

6.93 

6.61 

6.29 

900 

2800 

9.07 

8.78 

8.48 

8.18 

7.87 

7.56 

7.24 

6.92 

6.60 

6.28 

800 

2900 

9.07 

8.77 

8.47 

8-17 

7.86 

7.55 

7.23 

6.91 

6.59 

6.27 

700 

3000 

9.06 

8.76 

8.46 

8.16 

7.85 

7.51 

7.22 

6.90 

fi.58 

6.26 

600 

3100 

9.05 

8.76 

8.46 

8.16 

7.85 

7.53 

7.22 

6.90 

6.57 

6.25 

500 

3200 

9.04 

8.75 

8.45 

8.15 

7.84 

7.52 

7.21 

6.89 

6.56 

6.21 

400 

:!:!()(» 

9.01 

8.74 

8.44 

N.I    1 

7.83 

7.51 

7.  '20 

6.88 

6.55 

6.2:5 

300 

3100 

9.03 

8.73 

8.43 

8.13 

7.82 

7.50 

7.19 

6.87 

6.54 

6.22 

200 

3500 

9.02 

8.72 

8.42 

8.12 

7.81 

7.49 

7.18 

(!.S(! 

6.53 

6.21 

100 

3600 

9.01 

K.71 

8.41 

8.11 

7.80 

7.1S 

7.17 

6.85 

6.52 

6.20 

0 

• 

o 

o 

o 

o 

O 

O 

O 

O 

o 

09 

68 

or 

CO 

05 

04 

03 

03 

01 

OO 

9 

189 

188 

187 

180 

185 

184 

183 

188 

181 

180 

y 

309 

30  s 

307 

30O 

305 

304 

303 

3O8 

301 

3OO 

296 


TABLE  CVIII.    ARGUMENT  77, 


Equatiop  =  6".2  —  6".  18  sin  3y. 


34O 

341 

343 

343 

314 

345 

346 

347 

348 

349 

s 

130 

tat 

133 

133 

134 

135 

136 

137 

138 

139 

1 

O 

i 

3 

3 

4 

5 

6 

7 

8 

9 

0 

6.20 

5.88 

5.55 

5.23 

4.92 

4.60 

4.29 

3.99 

3.69 

3.39 

3600 

100 

6.19 

5.87 

5.54 

5.22 

4.91 

4.59 

4.28 

3.98 

3.68 

3.38 

3500 

200 

6.18 

5.86 

5.53 

5.21 

4.90 

4.58 

4.27 

3.97 

3.67 

3.37 

3400 

300 

6.17 

5.85 

5.52 

5.20 

4.89 

4.57 

4.26 

3.96 

3.66 

3.36 

3300 

400 

6.16 

5.84 

5.51 

5.19 

4.88 

4.56 

4.25 

3.95 

3.65 

3.36 

3200 

500 

6.15 

5.83 

5.50 

5.18 

4.87 

4.55 

4.24 

3.94 

3.64 

3.35 

3100 

600 

6.14 

5.82 

5.50 

5.18 

4.86 

4.55 

4.24 

3.94 

3.64 

3.34 

3000 

700 

6.13 

5.81 

549 

5.17 

4.85 

4.54 

4.23 

3.93 

3.63 

3.33 

2900 

800 

6.12 

5.80 

5.48 

5.16 

4.84 

4.53 

4.22 

3.92 

3.62 

3.33 

2800 

900 

6.11 

5.79 

5.47 

5.15 

4.83 

4.52 

4.21 

3.91 

3.61 

3.32 

2700 

1000 

6.10 

5.78 

5.46 

5.14 

4.82 

4.51 

4.20 

3.90 

3.60 

3.31 

2600 

1100 

6.09 

5.77 

5.45 

5.13 

4.81 

4.50 

4.19 

3.89 

3.59 

3.30 

2500 

1200 

6.09 

5.77 

5.45 

5.13 

4.81 

4.50 

4.19 

3.89 

3.59 

3.30 

2400 

1300 

6.08 

5.76 

5.44 

5.12 

4.80 

4.49 

4.18 

3.88 

3.58 

3.29 

2300 

1400 

6.07 

5.75 

5.43 

5.11 

4.79 

4.48 

4.17 

3.87 

3.57 

3.28 

2200 

1500 

6.06 

5.74 

5.42 

5.10 

4.78 

4.47 

4.16 

3.86 

3.56 

3.27 

2100 

1600 

6.05 

5.73 

5.41 

5.09 

4.77 

4.46 

4.15 

3.85 

3.55 

3.26 

2000 

1700 

6.04 

5.72 

5.40 

5.08 

4.76 

4.45 

4.14 

3.84 

3.54 

3.25 

1900 

1800 

6.03 

5.71 

5.39 

5.07 

4.76 

4.44 

4.14 

3.84 

3.54 

3.25 

1800 

1900 

6.02 

5.70 

5.38 

5.06 

4.75 

4.43 

4.13 

3.83 

3.53 

3.24 

1700 

2000 

6.01 

5.69 

5.37 

5.05 

4.74 

4.42 

4.12 

3.82 

3.52 

3.23 

1600 

2100 

6.00 

5.68 

5.36 

5.04 

4.73 

4.41 

4.11 

3.81 

3.51 

3.22 

1500 

2200 

5.99 

5.67 

5.35 

5.03 

4.72 

4.40 

4.10 

3.80 

3.50 

3.21 

1400 

2300 

5.98 

5.66 

5.34 

5.02 

4.71 

4.39 

4.09 

3.79 

3.49 

3.20 

1300 

2400 

5.98 

5.66 

5.34 

5.02 

4.71 

4.39 

4.09 

3.79 

3.49 

3.20 

1200 

2500 

5.97 

5.65 

5.33 

5.01 

4.70 

4.38 

4.08 

3.78 

3.48 

3.19 

1100 

2600 

5.96 

5.64 

5.32 

5.00 

4.69 

4.37 

4.07 

3.77 

3.47 

3.18 

1000 

2700 

5.95 

5.63 

5.31 

4.99 

4.68 

436 

4.06 

3.76 

3.46 

3.17 

900 

2800 

5.94 

5.62 

5.30 

4.98 

4.67 

4.35 

4.05 

3.75 

3.45 

3.17 

800 

2900 

5.93 

5.61 

5.29 

4.97 

4.66 

4.34 

4.04 

3.74 

3.44 

3.16 

700 

3000 

5.93 

5.60 

5.28 

4.97 

4.65 

4.34 

4.04 

3.74 

3.44 

3.15 

600 

3100 

5.92 

5.59 

5.27 

4.96 

4.64 

4.33 

4.03 

3.73 

3.43 

3.14 

500 

3200 

5.91 

5.58 

5.26 

4.95 

4.63 

4.32 

4.02 

3.72 

3.42 

3.14 

400 

3300 

5.90 

5.57 

5.25 

4.94 

4.62 

4.31 

4.01 

3.71 

3.41 

3.13 

300 

3400 

5.89 

5.5G 

5.24 

4.93 

4.61 

4.30 

4.00 

3.70 

3.40 

3.12 

200 

3500 

5.88 

5.55 

5.23 

4.92 

4.60 

4.29 

3.99 

3.69 

3.39 

3.11 

100 

3600 

5.88 

5.55 

5.23 

4.92 

4.60 

4.29 

3.99 

3.69 

3.39 

3.11 

0 

o 

O 

O 

O 

O 

o 

o 

o 

59 

58 

57 

56 

55 

54 

53 

52 

51 

5O 

1 

179 

178 

177 

176 

175 

174 

173 

173 

171 

170 

9 

399 

398 

397 

396 

395 

394 

393 

393 

391 

39O 

- 

297 


TABLE  CVIII.    ARGUMENT  77. 


Equation  =  6".2  —  6".18  sin  3j. 


25O 

o 

251 

232 

253 

254 

o 

255 

256 

257 

258 

259 

I 

13O 

131 

132 

133 

134 

135 

136 

137 

138 

139 

9 

1O 

11 

12 

13 

14 

15 

16 

17 

18 

19 

6 

3.11 

2.83 

2.57 

2.31 

2.07 

1.83 

i'.6i 

1.40 

1.20 

1.02 

3600 

100 

3.10 

2.82 

2.56 

2.30 

2.06 

1.82 

1.60 

1.39 

.20 

1.02 

3500 

200 

3.09 

2.81 

2.55 

2.29 

2.05 

1.81 

1.60 

1.39 

.19 

1.01 

3400 

300 

3.08 

2.80 

254 

2.29 

2.05 

1.81 

1.59 

1.38 

.19 

1.01 

3300 

400 

3.08 

2.80 

2.54 

2.28 

2.04 

1.80 

1.59 

1.38 

.18 

1.00 

3200 

500 

3.07 

2.79 

2.53 

2.27 

2.03 

1.79 

1.58 

1.37 

.18 

1.00 

3100 

600 

3.06 

2.78 

2.52 

2.27 

2.03 

1.79 

1.58 

1.37 

.17 

0.99 

3000 

700 

3.05 

2.77 

2.51 

2.26 

2.02 

1.78 

1.57 

1.36 

.17 

0.99 

2900 

800 

3.05 

2.77 

2.51 

2.25 

2.01 

1.77 

1.56 

1.35 

.16 

0.98 

2800 

900 

3.04 

2.76 

250 

2.25 

2.01 

1.77 

1.56 

1.35 

.16 

0.98 

2700 

1000 

3.03 

2.75 

2.49 

2.24 

2.00 

1.76 

1.55 

1.34 

1.15 

0.97 

2600 

1100 

3.02 

2.74 

2.48 

2.23 

1.99 

1.75 

1.55 

1.34 

1.15 

0.97 

2500 

1200 

3.02 

2.74 

2.48 

2.23 

1.99 

1.75 

1.54 

1.33 

1.14 

0.96 

2400 

1300 

3.01 

2.73 

2.47 

2.22 

1.98 

1.74 

1.53 

1.32 

1.14 

0.96 

2300 

1400 

3.00 

2.72 

2.46 

2.21 

1.97 

1.73 

1.53 

1.32 

1.13 

0.95 

2200 

1500 

2.99 

2.72 

2.46 

2.21 

1.97 

1.73 

1.52 

1.31 

1.13 

0.95 

2100 

1600 

2.99 

2.71 

2.45 

2.20 

1.96 

1.72 

1.52 

1.31 

1.12 

0.94 

2000 

1700 

2.98 

2.70 

2.44 

2.19 

1.95 

1.72 

1.51 

1.30 

1.12 

0.94 

1900 

1800 

2.97 

2.70 

2.44 

2.19 

1.95 

1.71 

1.51 

1.30 

1.11 

0.93 

1800 

1900 

2.96 

2.69 

2.43 

2.18 

1.94 

1.71 

1.50 

1.29 

1.11 

0.93 

1700 

2000 

2.96 

2.68 

2.42 

2.17 

1.93 

1.70 

1.49 

1.28 

1.10 

0.93 

1600 

2100 

2.95 

2.68 

2.42 

2.17 

1.93 

1.70 

1.49 

1.28 

1.10 

0.92 

1500 

2200 

2.94 

2.67 

2.41 

2.16 

1.92 

1.69 

1.48 

1.27 

1.09 

0.92 

1400 

2300 

293 

2.66 

2.40 

2.15 

1.91 

1.69 

1.48 

1.27 

1.09 

0.91 

1300 

2400 

2.93 

2.66 

2.40 

2.15 

1.91 

1.68 

1.47 

1.26 

1.08 

0.91 

1200 

2500 

2.92 

2.65 

2.39 

2.14 

1.90 

1.67 

1.46 

1.26 

1.08 

0.91 

1100 

2600 

2.91 

2.64 

2.38 

2.13 

1.89 

1.67 

1.46 

1.25 

1.07 

0.90 

1000 

2700 

2.90 

2.63 

2.37 

2.13 

1.89 

1.66 

1.45 

1.25 

1.07 

0.90 

900 

2800 

2.89 

2.63 

2.37 

2.12 

1.88 

1.66 

1.45 

1.24 

1.06 

0.89 

800 

2900 

2.88 

2.62 

2.36 

2.11 

1.87 

1.65 

1.44 

1.24 

1.06 

0.89 

700 

3000 

2.88 

2.61 

2.35 

2.11 

1.87 

1.64 

1.43 

1.23 

1.05 

0.88 

600 

3100 

2.87 

2.60 

2.34 

2.10 

1.86 

1.64 

1.43 

1.23 

1.05 

0.88 

500 

3200 

2.86 

2.60 

2.34 

2.09 

1.85 

1.63 

1.42 

1.22 

1.04 

0.87 

400 

3300 

2.85 

2.59 

2.33 

2.09 

1.85 

1.63 

1.42 

1.22 

1.04 

0.87 

300 

3400 

2.84 

2.58 

2.32 

2.08 

1.84 

1.62 

1.41 

1.21 

1.03 

0.86 

200 

3500 

2.83 

2.57 

2.31 

2.07 

1.83 

1.62 

1.41 

1.21 

1.03 

0.86 

100 

3600 

2.83 

2.57 

2.31 

2.07 

1.83 

1.61 

1.40 

1.20 

1.02 

0.85 

0 

49 

4°8 

O 

47 

46 

45 

44 

43 

42 

41 

O 

4O 

9 

160 

168 

167 

166 

165 

164 

163 

162 

161 

16O 

I 

280 

288 

287 

286 

285 

284 

283 

282 

281 

28O 

298 


TABLE  CVIII.    ARGUMENT  77. 


Equation  =  6".2  —  6".  18  sin  3y. 


o 

o 

o 

o 

O 

o 

o 

O 

260 

261 

262 

263 

261 

265 

266 

267 

268 

269 

y 

no 

141 

142 

143 

144 

145 

146 

147 

148 

149 

i 

2O 

21 

22 

23 

24 

25 

26 

27 

28 

29 

6 

6.85 

0.69 

6.55 

0.43 

6.32 

6.23 

6.16 

6.10 

6.05 

6.03 

3600 

100 

0.85 

0.69 

0.55 

0.43 

0.32 

0.23 

0.16 

0.10 

0.05 

0.03 

3500 

200 

084 

0.68 

055 

0.43 

0.32 

0.23 

0.16 

0.10 

0.05 

0.03 

3400 

300 

0.84 

0.68 

0.54 

0.42 

0.32 

0.23 

0.16 

0.10 

0.05 

0.03 

3300 

400 

0.83 

0.68 

0.54 

0.42 

0.31 

0.22 

0.15 

0.09 

0.05 

0.03 

3200 

500 

0.83 

0.67 

0.54 

0.42 

0.31 

0.22 

0.15 

0.09 

0.05 

0.03 

3100 

600 

0.82 

0.67 

0.53 

0.41 

0.31 

0.22 

0.15 

0.09 

0.05 

0.03 

3000 

700 

0.82 

0.67 

0.53 

0.41 

0.31 

0.22 

0.15 

0.09 

0.05 

0.03 

2900 

800 

0.81 

0.66 

0.53 

0.41 

0.30 

0.21 

0.14 

0.09 

0.05 

0.03 

2800 

900 

0.81 

0.66 

0.52 

0.40 

0.30 

0.21 

0.14 

0.09 

0.05 

0.02 

2700 

1000 

0.80 

0.66 

0.52 

0.40 

0.30 

0.21 

0.14 

0.09 

0.04 

0.02 

2600 

1100 

0.80 

0.65 

0.52 

0.40 

0.30 

0.21 

0.14 

0.09 

0.04 

0.02 

2500 

1200 

0.79 

0.65 

0.51 

039 

0.29 

0.20 

0.13 

0.08 

0.04 

0.02 

2400 

1300 

0.79 

0.65 

0.51 

0.39 

0.29 

0.20 

0.13 

0.08 

0.04 

0.02 

2300 

1400 

0.78 

0.64 

0.51 

0.39 

0.29 

0.20 

0.13 

0.08 

0.04 

0.02 

2200 

1500 

0.78 

0.64 

0.50 

0.39 

0.29 

0.20 

0.13 

0.08 

0.04 

0.02 

2100 

1600 

0.77 

0.63 

0.50 

0.38 

0.28 

0.20 

0.13 

0.08 

0.04 

0.02 

2000 

1700 

0.77 

0.63 

0.50 

0.38 

0.28 

0.20 

0.13 

0.08 

0.04 

0.02 

1900 

1800 

0.77 

0.63 

0.49 

0.38 

0.28 

0.19 

0.12 

0.08 

0.04 

0.02 

1800 

1900 

0.76 

0.62 

0.49 

0.38 

0.28 

0.19 

0.12 

0.08 

0.04 

0.02 

1700 

2000 

0.76 

0.62 

0.49 

0.37 

0.27 

0.19 

0.12 

0.07 

0.04 

0.02 

1600 

2100 

0.75 

0.61 

0.48 

0.37 

0.27 

0.19 

0.12 

0.07 

0.04 

0.02 

1500 

2200 

0.75 

0.61 

0.48 

0.37 

0.27 

0.19 

0.12 

007 

0.04 

0.02 

1400 

2300 

0.74 

0.61 

0.48 

0.37 

0.27 

0.19 

0.12 

0.07 

0.04 

0.02 

1300 

2400 

0.74 

0.60 

0.47 

0.36 

0.26 

0.18 

0.11 

0.07 

0.04 

0.02 

1200 

2500 

0.73 

0.60 

0.47 

0.36 

0.26 

0.18 

0.11 

0.07 

0.04 

0.02 

1MX) 

2600 

0.73 

0.59 

0.47 

0.36 

0.26 

0.18 

0.11 

0.07 

0.04 

0.02 

1000 

2700 

0.73 

0.59 

0.46 

0.35 

0.26 

0.18 

0.11 

0.07 

0.04 

0.02 

900 

2800 

0.72 

0.59 

046 

0.35 

0.25 

0.18 

0.11 

0.06 

0.03 

0.02 

800 

2900 

0.72 

0.58 

0.46 

0.35 

0.25 

0.18 

0.11 

0.06 

0.03 

0.02 

700 

3000 

0.71 

0.58 

0.45 

0.34 

0.25 

0.17 

0.11 

0.06 

0.03 

0.02 

600 

3100 

0.71 

0.57 

0.45 

0.31 

0.25 

0.17 

0.11 

0.06 

0.03 

0.02 

500 

3200 

0.70 

0.57 

0.45 

0.34 

0.24 

0.17 

0.11 

0.06 

0.03 

0.02 

400 

3300 

0.70 

0.56 

0.44 

0.33 

0.24 

0.17 

0.10 

0.06 

0.03 

0.02 

300 

3400 

0.70 

0.56 

0.44 

0.33 

0.24 

0.17 

0.10 

0.06 

0.03 

0.02 

200 

3500 

0.69 

0.56 

0.44 

0.33 

0.24 

0.17 

0.10 

0.06 

0.03 

0.02 

100 

3600 

0.69 

0.55 

0.43 

0.32 

0.23 

0.16 

0.10 

0.05 

0.03 

0.02 

0 

o 

O 

O 

O 

O 

o 

o 

O 

O 

O 

39 

38 

37 

36 

35 

34 

33 

32 

31 

3O 

9 

159 

158 

157 

156 

155 

154 

153 

152 

151 

15O 

f 

279 

278 

277 

276 

275 

274 

273 

272 

271 

27O 

299 


TABLE   CIX. 


Equation  =  9".l  -f  2".  17  cos.  u  —  8".80  sin. «. 


O 

0 

10 

30 

30 

10 

50 

0 

6O 

70 

80 

O        i| 

0    0 
0  1000 
0  2000 
0  3000 

11.27 
11.23 
11.19 
11.14 

9.71 
9.67 
9.62 
9.58 

8.13 
8.09 
8.05 
8.00 

6.58 
6.54 
6.50 
6.45 

5.10 
5.06 
5.02 

4.98 

// 

3.75 
3.71 
3.68 
3.64 

2.56 
2.53 
2.50 
2.47 

1.57 
1.54 
1.52 
1.50 

0.81 
0.79 
0.77 
0.75 

1  400 
1  1400 
1  2400 
1  3400 

11.10 
11.06 
11.02 
10.97 

9.54 
9.49 
9.45 
9.41 

7.96 
7.91 

7.87 
7.82 

6.41 
6.37 
6.33 
6.28 

4.94 
4.90 
4.86 
4.82 

3.61 
3.57 
3.54 
3.51 

2.44 
2.42 
2.39 
2.36 

1.47 
1.45 
1.43 
1.40 

0.73 
0.72 
0.70 
0.68 

2  800 
2  1800 
2  2800 

10.93 
10.89 
10.85 

9.36 
9.32 

9.28 

7.78 
7.73 
7.69 

6.24 
6.20 
6.16 

4.78 
4.75 
4.71 

3.47 
3.44 
3.40 

2.33 
2.30 
2.27 

1.38 
1.36 
1.33 

0.66 
0.65 
0.63 

3  200 
3  1200 
3  2200 
3  3200 

10.80 
10.76 
10.72 
10.67 

9.23 
9.19 
9.15 
9.10 

7.65 
7.61 
7.56 
7.52 

6.12 

6.07 
6.03 
5.99 

4.67 
4.63 
4.59 
4.56 

3.37 
3.34 
3.30 
3.27 

2.24 
2.21 
2.18 
2.15 

1.31 
1.29 
1.27 
1.24 

0.62 
0.60 
0.59 
0.57 

4  600 
4  1600 
4  2600 

10.63 
10.58 
10.54 

9.06 
9.01 
8.97 

7.48 
7.44 
7.39 

5.95 
5.91 

5.87 

4.52 

4.48 
4.44 

3.24 
3.20 
3.17 

2.13 
2.10 
2.07 

1.22 
1.20 
1.18 

0.56 
0.55 
0.53 

5    0 
5  1000 
5  2000 
5  3000 

10.49 
10.45 
10.40 
10.36 

8.92 
8.88 
8.84 
8.79 

7.35 
7.31 
7.27 
7.22 

5.83 

5.78 
5.74 
5.70 

4.41 
4.37 
4.33 
4.30 

3.14 
3.10 
3.07 
3.04 

2.04 
2.01 
1.98 
1.96 

1.16 
1.14 
1.12 
1.10 

0.52 
0.50 
0.49 
0.48 

6  400 
6  1400 
6  2400 
6  3400 

10.32 
10.27 
10.23 
10.18 

8.75 
8.70 
8.66 
8.61 

7.18 
7.14 
7.09 
7.05 

5.66 
5.62 
5.58 
5.54 

4.26 
4.22 
4.19 
4.15 

3.00 
2.97 
2.94 
2.90 

1.93 
1.90 

1.88 
1.85 

1.08 
1.06 
1.04 
1.02 

0.46 
0.45 
0.44 
0.42 

7  800 
7  1800 
7  2800 

'  10.14 
10.10 
10.06 

8.57 
8.52 

8.48 

7.01 
6.96 
6.92 

5.50 
5.46 
5.42 

4.11 
4.08 
4.04 

2.87 
2.84 
2.81 

1.82 
1.80 
1.77 

1.00 
0.98 
0.96 

0.41 
0.40 
0.39 

8  200 
8  1200 
8  2200 
8  3200 

10.01 
9.97 
9.93 
9.88 

8.44 
8.39 
8.35 
8.31 

6.88 
6.83 
6.79 
6.75 

5.38 

r..:<  t 

5.30 
5.26 

4.00 
3.97 
3.93 
3.89 

2.77 
2.74 
2.71 
2.68 

1.74 
1.72 
1.69 
1.67 

0.94 
0.92 
0.90 

0.88 

0.37 
0.36 
0.35 
0.34 

9  600 
9  1600 
9  2600 

9.84 
9.79 
9.75 

8.26 
8.22 
8.18 

6.71 
6.67 
6.62 

5.22 
5.18 
5.14 

3.86 
3.82 

3.78 

2.65 
2.62 
2.59 

1.64 
1.62 
1.59 

0.86 
0.84 
0.82 

0.33 
0.32 
0.31 

10    0 

9.71 

8.13 

6.58 

5.10 

3.75 

2.56 

• 

1.57 

0.81 

0.30 

:ioo 


TABLE   CIX. 


Equation  =  9".l  -f  2".  17  cos.  u  —  8".80  sin.  «. 


-J 

90 

too 

110 

130 

i:io 

140 

150 

16O 

170 

O       '/ 

0   0 

6.30 

6.05 

6.09 

6'.39 

6.97 

i'.79 

2.82 

4.05 

5.44 

0  1000 

0.29 

0.05 

0.09 

0.40 

0.98 

1.81 

2.85 

4.08 

5.48 

0  2000 

0.28 

0.05 

0.10 

0.41 

1.00 

1.84 

2.88 

4.12 

5.52 

0  3000 

0.27 

0.05 

0.10 

0.43 

1.02 

1.86 

2.92 

4.16 

5.56 

1  400 

0.26 

0.05 

0.11 

0.44 

1.04 

1.89 

2.95 

4.19 

5.60 

1  1400 

0.25 

0.04 

0.11 

0.46 

1.06 

1.91 

2.98 

4.23 

5.64 

1  2400 

0.24 

0.04 

0.12 

0.47 

1.08 

1.94 

3.02 

4.27 

5.68 

1  3400 

0.23 

0.04 

0.12 

0.49 

1.10 

1.96 

3.05 

4.30 

5.72 

2  800 

0.22 

0.04 

0.13 

0.50 

1.12 

1.99 

3.08 

4.34 

5.76 

2  1800 

0.21 

0.04 

0.14 

0.52 

1.14 

2.02 

3.12 

4.38 

5.80 

2  2800 

0.20 

0.04 

0.14 

0.53 

1.16 

2.04 

3.15 

4.41 

5.84 

3  200 

0.19 

0.04 

0.15 

0.54 

1.18 

2.07 

3.18 

4.45 

5.88 

3  1200 

0.18 

0.04 

0.16 

0.56 

1.21 

2.10 

3.22 

4.49 

5.92 

3  2200 

0.17 

0.04 

0.16 

0.57 

1.23 

2.13 

3.25 

4.53 

5.96 

3  3200 

0.17 

0.04 

0.17 

0.59 

1.25 

2.15 

3.28 

4.57 

6.00 

4  600 

0.16 

0.04 

0.18 

0.60 

1.28 

2.18 

3.32 

4.60 

6.04 

4  1600 

0.15 

0.04 

0.18 

0.62 

1.30 

2.21 

3.35 

4.64 

6.08 

4  2600 

0.14 

0.04 

0.19 

0.63 

1.32 

2.24 

3.38 

4.68 

6.12 

5    0 

0.14 

0.04 

0.20 

0.65 

1.35 

2.27 

3.12 

4.72 

6.17 

5  1000 

0.13 

0.04 

0.20 

0.66 

1.37 

2.30 

3.45 

4.76 

6.21 

5  2000 

0.13 

0.04 

0.21 

0.68 

1.39 

2.33 

3.48 

4.80 

6.25 

5  3000 

0.12 

0.05 

0.22 

0.70 

1.42 

2.36 

3.52 

4.84 

6.29 

6  400 

0.12 

0.05 

0.23 

0.71 

1.44 

2.39 

3.55 

4.88 

6.33 

6  1400 

0.11 

0.05 

0.24 

0.73 

1.47 

2.42 

3.5.') 

4.92 

6.38 

6  2400 

0.11 

0.05 

0.25 

0.75 

1.49 

2.45 

3.62 

4.96 

6.42 

6  3400 

0.10 

0.05 

0.26 

0.76 

1.52 

2.48 

3.66 

5.00 

6.46 

7  800 

0.10 

0.06 

0.27 

0.78 

1.54 

2.51 

3.69 

5.04 

6.50 

7  1800 

0.09 

0.06 

0.28 

0.80 

1.57 

2.54 

3.73 

5.08 

6.55 

7  2800 

0.09 

0.06 

0.29 

0.82 

1.59 

2.57 

3.76 

5.12 

6.59 

8  200 

0.08 

0.06 

0.30 

0.83 

1.61 

2.60 

3.80 

5.16 

6.63 

8  1200 

0.08 

0.07 

0.31 

0.85 

1.64 

2.63 

3.83 

5.20 

6.67 

8  2200 

0.07 

0.07 

0.32 

0.87 

1.66 

2.66 

3.87 

5.24 

6.72 

8  3200 

0.07 

0.07 

0.34 

0.89 

1.69 

2.69 

3.90 

5.28 

6.76 

9  600 

0.06 

0.08 

0.35 

0.91 

1.71 

2.72 

3.94 

5.32 

6.80 

9  1600 

0.06 

0.08 

0.36 

0.93 

1.74 

2.75 

3.97 

5.36 

6.84 

9  2600 

0.06 

0.08 

0.37 

0.95 

1.76 

2.78 

4.01 

5.40 

6.88 

10    0 

0.05 

0.09 

0.39 

0.97 

1.79 

2.82 

4.05 

5.44 

6.93 

1  "                            •  —  •"  •  ••  •                              —               /  —  —  

301 


TABLE    CIX. 


Equation  =  9".l  -f  2".  17  cos.  u  —  8".80  sin.  u. 


180 

100 

2OO 

•-iio 

220 

23O 

240 

250 

26O 

o     6 

0  1000 
0  2000 
0  3000 

6.93 
6.97 
7.01 
7.05 

8.49 
8.53 
8.57 
8.62 

10.07 
10.11 
10.15 
10.20 

11.62 
11.67 
11.71 
11.75 

13.10 
13.14 

13.18 
13.22 

14.45 
14.49 
14.52 
14.56 

15.64 
15.67 
15.70 
15.73 

16.63 
16.66 
16.68 
16.70 

17.39 
17.41 
17.43 
17.45 

1     400 
1  1400 
1  2400 
1  3400 

7.09 
7.14 
7.18 
7.22 

8.66 
8.70 
8.75 
8.79 

10.24 
10.29 
10.33 
10.38 

11.79 
11.84 
11.88 
11.92 

13.26 
13.30 
13.34 
13.38 

14.59 
14.63 
14.66 
14.70 

15.76 
15.79 
15.82 
15.85 

16.73 
16.75 
16.77 
16.80 

17.47 
17.48 
17.50 
17.52 

2    800 
2  1800 
2  2800 

7.26 
7.31 
7.35 

8.83 
.    8.88 
8.92 

10.42 
10.47 
10.52 

11.96 
12.00 
12.05 

13.42 
13.45 
13.49 

14.73 

14.76 
14.80 

15.88 
15.90 
15.93 

16.82 
16.84 
16.87 

17.54 

17.55 
17.57 

3    200 
3  1200 
3  2200 
3  3200 

7.39 
7.44 
7.48 
7.53 

8.96 
9.01 
9.05 
9.10 

10.56 
10.60 
10.64 
10.68 

12.09 
12.13 
12.17 
12.21 

13.53 
13.57 
13.61 
13.64 

14.83 
14.86 
14.90 
14.93 

15.96 
15.99 
16.02 
16.05 

16.89 
16.91 
16.93 
16.96 

17.58 
17.60 
17.61 
17.63 

4    600 
4  1600 
4  2600 

7.57 
7.62 
7.66 

9.14 
9.19 
9.23 

10.73 
10.77 
10.81 

12.25 
12.29 
12.33 

13.68 
13.72 
13.76 

14.96 
15.00 
15.03 

16.08 
16.11 
16.14 

16.98 
17.00 
17.02 

17.64 
17.66 
17.67 

5        0 
5  1000 
5  2000 
5  3000 

7.71 
7.75 
7.79 
7.84 

9.28 
9.32 
9.37 
9.41 

10.85 
10.90 
10.94 
10.98 

12.37 
12.41 
12.46 
12.50 

13.79 
13.83 
13.87 
13.90 

15.06 
15.10 
15.13 
15.16 

16.16 
16.19 
16.22 
16.24 

17.04 
17.06 
17.08 
17.10 

17.68 
17.70 
17.71 
17.72 

6    400 
6  1400 
6  2400 
6  3400 

7.88 
7.92 
7.97 
8.01 

9.46 
9.50 
9.55 
9.59 

11.03 
11.07 
11.11 
11.16 

12.54 
12.58 
12.62 
12.66 

13.94 
13.98 
14.01 
14.05 

15.20 
15.23 
15.26 
15.30 

16.27 
16.30 
16.32 
16.35 

17.12 
17.11 
17.16 

17.18 

17.74 
17.75 
17.76 
17.78 

7    800 
7  1800 
7  2800 

8.05 
8.10 
8.14 

9.64 
9.68 
9.72 

11.20 
11.24 
11.29 

12.70 
12.74 
12.78 

14.09 
14.12 
14.16 

15.33 
15.36 
15.39 

16.38 
16.40 
16.43 

17.20 
17.22 
17.24 

17.79 
17.80 
17.81 

8    200 
8  1200 
8  2200 
8  3200 

8.18 
8.23 
8.27 
8.31 

9.77 
9.81 
9.85 
9.90 

11.33 
11.37 
11.41 
11.46 

12.82 
12.86 
12.90 
12.94 

14.20 
14.23 
14.27 
14.31 

15.43 

15.46 
15.49 
15.52 

16.46 
16.48 
16.51 
16.53 

17.26 
17.28 
17.:i() 
17.32 

17.83 

17.N1 

17.85 
17.86 

9    600 
9  1600 
9  2600 

8.36 
8.40 
s.H 

9.94 
9.99 
10.03 

11.50 

11.51 
11.58 

12.98 
13.02 
13.06 

14.34 
14.38 
14.42 

15.55 
15.58 
15.61 

16.56 
16.58 
16.61 

17.34 

17.:«> 

17.38 

17.87 
17.88 
17.89 

10        0 

8.49 

10.07 

11.62 

13.10 

14.45 

15.64 

16.63 

17.39 

17.90 

302 


TABLE   CIX. 


Equation  =  9".l  -f  2".17  cos  u  —  8''.80  sin  «. 


270 

28O 

290 

300 

sio 

320 

33O 

34O 

35O 

0        0 
0  1000 
0  2000 
0  3000 

17.90 
17.91 
17.92 
17.93 

18.15 
18.15 
18.15 
18.15 

18.11 
18.11 
18.10 
18.10 

17.81 
17.80 
17.79 
17.77 

17.23 
17.22 
17.20 
17.18 

16.41 
16.39 
16.36 
16.34 

• 

15.38 
15.35 
15.32 
15.28 

14.15 
14.12 
14.08 
14.04 

12.76 
12.72 
12.68 
12.64 

1     400 
1   1400 
1  2400 
1  3400 

17.94 
17.95 
17.96 
17.97 

18.16 
18.16 
18.16 
18.16 

18.09 
18.09 
18.08 
18.08 

17.76 
17.74 
17.73 
17.71 

17.16 
17.14 
17.12 
17.10 

16.31 
16.29 
16.26 
16.24 

15.25 
15.22 
15.18 
15.15 

14.01 
13.97 
13.93 
13.90 

12.60 
12.56 
12.52 

12.48 

2     800 
2  1800 
2  2800 

17.98 
17.99 
18.00 

18.16 
18.16 
18.16 

18.07 
18.06 
18.06 

17.70 
17.68 
17.67 

17.08 
17.06 
17.04 

16.21 
16.18 
16.16 

15.12 
15.08 
15.05 

13.86 
13.82 
13.79 

12.44 
12.40 
12.36 

3    200 
3  1200 
3  2200 
3  3200 

18.01 
18.02 
18.03 
18.03 

18.16 
18.16 
18.16 
18.16 

18.05 
18.04 
18.04 
18.03 

17.66 
17.64 
17.63 
17.61 

17.02 
16.99 
16.97 
16.95 

16.13 
16.10 
16.07 
16.05 

15.02 
14.98 
14.95 
14.92 

13.75 
13.71 
13.67 
13.64 

12.32 

12.28 
12.24 
12.20 

4     600 
4  1600 
4  2600 

18.04 
18.05 
18.06 

18.16 
18.16 
18.16 

18.02 
18.02 
18.01 

17.60 
17.58 
17.56 

16.92 
16.90 
16.88 

16.02 
15.99 
15.96 

14.88 
14.85 
14.82 

13.60 
13.56 
13.52 

12.16 
12.12 
12.08 

5        0 
5  1000 
5  2000 
5  3000 

18.06 
18.07 
18.08 
18.08 

18.16 
18.16 
18.16 
18.15 

18.00 
18.00 
17.99 

17.98 

17.55 
17.54 
17.52 
17.50 

16.85 
16.83 
16.81 
16.78 

15.93 
15.90 
15.87 
15.84 

14.78 
14.75 
14.72 
14.68 

13.48 
13.44 
13.40 
13.36 

12.03 
11.99 
11.95 
11.91 

6     400 
6  1400 
6  2400 
6  3400 

18.09 
18.09 
18.10 
18.10 

18.15 
18.15 
18.15 
18.15 

17.97 
17.96 
17.95 
17.94 

17.49 
17.47 
17.45 
17.44 

16.76 
16.73 
16.71 
16.68 

15.81 

ir>.78 

15.75 
15.72 

14.65 
14.61 
14.58 
14.54 

13.32 
13.28 
13.24 
13.20 

11.87 
11.82 
11.78 
11.74 

7    800 
7  1800 
7  2800 

18.11 
18.11 
18.12 

18.14 

18.14 
18.14 

17.93 
17.92 
17.91 

17.42 
17.40 
17.38 

16.66 
16.63 
16.61 

15.69 
15.66 
15.63 

14.51 
14.47 
14.44 

13.16 
13.12 
13.08 

11.70 
11.65 
11.61 

8    200 
8  1200 
8  2200 
8  3200 

18.12 
18.13 
18.13 
18.14 

18.14 
18.13 
18.13 
18.13 

17.90 

17.89 
17.88 
17.86 

17.37 
17.35 
17.33 
17.31 

16.59 
16.56 
16.54 
16.51 

15.60 
15.57 
15.54 
15.51 

14.40 
14.37 
14.33 
14.30 

13.04 
13.00 
12.96 
12.92 

11.57 
11.53 
11.49 
11.44 

9    600 
9  1600 
9  2600 

18.14 
18.14 
18.15 

18.12 
18.12 
18.12 

17.85 
17.84 
17.83 

17.29 
17.27 
17.25 

16.49 
16.46 
16.44 

15.48 
15.45 
15.42 

14.26 
14.23 
14.19 

12.88 
12.84 
12.80 

11.40 
11.36 
11.32 

10        0 

18.15 

18.11 

17.81 

17.23 

16.41 

15.38 

14.15 

12.76 

11.27 

303 


TABLE  CX.    ARGUMENT  1 '. 


Equation  =  348".0  -|-  186".8  cos  x  +  10".3  cos  2x  -}-  0  '.6  cos  3x. 


Days.               O 

1 

a 

3 

4 

S 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Ditr. 

Equation. 

Ditr. 

JvjtrilioiL. 

Diff 

Kquaiion. 

Ditr. 

d 

.00 

338.66 

.42 

297  J9 

.39 

260.80 

.35 

229.06 

.29 

203.60 

.22 

185.13 

.15 

.01 

338.24 

.42 

29730 

.39 

260.45 

.35 

228.77 

.29 

203.38 

.22 

184.98 

.14 

.02 

337.82 

.42 

297.01 

.39 

260.10 

.34 

228.48 

.29 

203.16 

.22 

184.84 

.15 

.03 

337.40 

.43 

296.62 

.39 

259.76 

.35 

228.19 

.28 

202.94 

.22 

184.69 

.14 

.04 

336.97 

.42 

296.23 

.39 

259.41 

.34 

227.91 

.29 

202.72 

.22 

184.55 

.15 

.05 

336.55 

.42 

295.84 

.39 

259.07 

.34 

227.62 

.28 

20250 

.22 

184.40 

.14 

.06 

336.13 

.42 

295.45 

.39 

258.73 

.34 

227.34 

.28 

202  28 

.21 

ISI.Vil 

.14 

.07 

335.71 

.42 

295.06 

.39 

258.39 

.34 

227.06 

.28 

202.07 

.22 

184.12 

.14 

.08 

335.29 

.42 

294.67 

.39 

258.05 

.34 

226.78 

.28 

201.85 

.21 

183.98 

.14 

.09 

334.87 

.42 

294.28 

.39 

257.71 

.34 

226.50 

.28 

201.61 

.21 

183.84 

.14 

.10 

334.45 

.42 

293.89 

.39 

257.37 

.34 

226.22 

.28 

201.43 

.22 

183.70 

.14 

.11 

334.03 

.42 

293.50 

.39 

257.03 

.34 

225.94 

.28 

201.21 

.21 

183.56 

.14 

.12 

333.61 

.42 

293.11 

.39 

256.69 

.34 

225.66 

.28 

201.00 

.21 

183.42 

.14 

.13 

333.19 

.42 

292.72 

.39 

256.35 

.34 

225.38 

.28 

200.79 

.21 

183.28 

.14 

.14 

332.77 

.42 

292.33 

.39 

256.01 

.34 

225.10 

.28 

200.58 

.21 

183.14 

.14 

.15 

332.35 

.41 

291.94 

.38 

255.67 

.34 

224.82 

.28 

200.37 

.21 

183.00 

.13 

.16 

'331.94 

.42 

291.56 

.38 

255.33 

.34 

224.54 

.27 

200.16 

.21 

182.87 

.11 

.17 

.  331.52 

.42 

291.18 

.38 

254.99 

.33 

224.27 

.28 

199.95 

.21 

182.73 

.10 

.18 

331.10 

.42 

290.80 

.38 

254.66 

.34 

223.99 

.27 

199.74 

.21 

182.61 

.14 

.19 

330.68 

.42 

290.42 

.38 

254.32 

.33 

223.72 

.28 

199.51} 

.21 

182.46 

.13 

20 

330.26 

.42 

290.04 

.39 

253.99 

.34 

223.44 

.27 

199.32 

.21 

182.33 

.13 

.21 

329.84 

.42 

289.65 

.39 

253.65 

.33 

223.17 

.28 

199.11 

.20 

182.20 

.1.'! 

.22 

329.42 

.42 

289.26 

.38 

253.32 

.34 

222.89 

.27 

198.91 

.21 

182.07 

.13 

.23 

329.00 

.42 

288.88 

.38 

252.98 

.33 

222.62 

.28 

198.70 

.20 

1H1.94 

.i:{ 

.24 

328.58 

.42 

288.50 

.38 

252.65 

.33 

222.34 

.27 

198.50 

.21 

181.81 

.13 

.25 

328.16 

.42 

288.12 

.38 

252.32 

.33 

222.07 

.27 

198.29 

.20 

181.68 

.U 

.26 

327.74 

.42 

287.74 

.38 

251.99 

.33 

221.80 

.27 

198.09 

.20 

lsi.f>f> 

,i:( 

.27 

827.88 

.41 

287.36 

.38 

251.66 

.33 

221.53 

.27 

197.89 

.20 

181.42 

.13 

.28 

326.91 

.41 

286.98 

.38 

251.33 

.33 

221.26 

.27 

197.69 

.20 

IN  1.29 

.12 

.29 

326.50 

.41 

286.60 

.38 

251.00 

.33 

220.99 

.27 

197.49 

.20 

181.17 

.13 

.30 

326.09 

.41 

286.22 

.38 

250.67 

.33 

220.72 

.27 

197.29 

.20 

181.04 

.12 

.31 

325.68 

.41 

285.84 

.38 

250.34 

.33 

220.45 

.27 

197.09 

.20 

180.03 

.10 

.32 

325.27 

.42 

285.46 

.38 

250.01 

.:i:t 

220.18 

.27 

196.89 

.20 

180.79 

.12 

.:« 

324.85 

.42 

285.08 

.38 

249.68 

.:(.-( 

219.91 

.27 

196.69 

.20 

180.67 

.18 

.34 

324.43 

.41 

284.7(1 

.38 

249.88 

.33 

219.64 

.27 

196.49 

.20 

180.54 

.13 

.35 

324.02 

.41 

(84.83 

.38 

249.02 

.:« 

219.37 

.26 

196.-J!) 

.19 

180.42 

.12 

.36 

:«3.6  i 

.41 

283.94 

.38 

248.70 

.:« 

219.11 

.27 

1%.H) 

.1!) 

ISO.  U() 

.12 

.37 

323.20 

.41 

888.66 

.:)- 

248.38 

.:« 

218.84 

.26 

1  95.  91 

.1!) 

ISO.  IN 

,W 

.38 

322.79 

.42 

283.19 

.37 

248.06 

.:!-.> 

218.58 

.26 

195.72      .19 

180.06 

.12 

.39 

322.37 

.42 

282.82 

.37 

347.74 

.32 

218.32 

.25 

195.58 

.19 

170.91 

.12 

.40 

321.95 

.42 

282.45 

.38 

247.42 

.33 

218.07 

.26 

195.:t  I 

.19 

!-!).*•.> 

.12 

.41 

831.58 

.41 

282.07 

Jto 

•J  17  Oil 

.:« 

217.81 

.26 

i!i:>.i."i     .19 

179.70 

.11 

.42 

SSI.  19 

.41 

881.69 

.38 

846.77 

.:« 

217.55 

.26 

l!)l.!)li       .1!) 

I7!)..r)i) 

.12 

.48 

320.71 

.41 

881.8] 

.37 

246.45 

.83 

217.29 

at 

194.77       .III 

179.47 

.11 

.44 

320.30 

.41 

280.94 

.37 

246.13 

.:« 

217.03 

.26 

194.58 

.19 

179.36 

.12 

.45 

319.89 

.41 

•JSO..Y7 

.37 

•-M5.81 

.:t-J 

216.77 

.26 

194.:i!> 

.19 

179.2  1 

.11 

.46 

819.48 

.41 

•JMI-JO        .:t~ 

v  ir>  i!"     .32 

216.51 

.26 

1  ill.  -JO       .18 

179.13 

.11 

.47 

319.07 

.41 

279.N3        .H7 

VM.Y17      .:u 

216.J8 

.25 

lill.O--'       .1!) 

179.02 

.11 

.48 

318.66 

.41 

279.46       .37 

244.85      .32 

216.00 

.26 

193.83      .18 

17s.il  1 

.11 

.49 

818.88 

.41 

279.0!)        .37 

244.53      .33 

215.74 

.25 

1!KU;:>       .1!) 

17N.HO 

.11 

.50 

:il7.84 

.41 

278.72;      .37 

244.20      .:K 

215.49 

.25 

193.46       .is 

178,88 

.11 

Von.  —  Arg.  !"«=  Arg.  1  -»- 13.77728. 
304 


TABLES 


OF   THE   MOON'S   PARALLAX 


THESE  tables  are  constructed  from  the  formulae  given  by  WALKER  in  a  report  to  Prof.  BACHE,  the  Superintend- 
ent of  the  Coast  Survey,  and  printed  on  the  114th  page  of  the  Coast  Survey  Report  for  1848;  and  from  those 
given  by  ADAMS  on  the  263d  page  of  Volume  XIII.  of  the  Proceedings  of  the  Royal  Astronomical  Society 
of  London.  They  are  substituted  for  the  Tables  given  in  the  first  edition  of  this  work. 


The  following  is  the  formula  for  the  Horizontal  Parallax. 

EQUATION. 

t 

•j 

EQUATION. 

B 

H 

B 

- 

. 

g 

g 

sin  Moon's  Equatorial  Horizontal 

§ 

a 

n 

Moon's  Equatorial  Horizontal 

O 

g 

1 

Parallax  = 

5 

EH 

Parallax,  continued. 

§ 

3 

a 

3000. 

A. 

—      6.31     cos  [120] 

W.&A. 

15 

121 

-  345.58 

A. 

110 

-}-       0.39 

A. 

122 

-  186.51     cos 
-     10.17     cos 

1 

'2" 

A. 
A. 

1 

110 
110 

-       0.11     cos  [11] 
h       0.28     cos  [22] 

A. 

A. 

16 

122 
122 

0.63     cos 

3= 

A. 

110 

-      0.14 

A. 

123 

0.04    cos 

'4' 

A. 

110 

-      0.14    cos  [110] 

A. 

17 

123 

-    29.44 

A. 

111 

h      0.22 

A. 

124 

—      0.95    cos 

[10] 

A. 

3 

111 

-      0.22    cos  [1'21] 

A. 

18 

124 

-     28.23     cos 

-20] 

A. 

111 

-      0.12 

A. 

125 

-       0.26     cos 

[40] 

A. 

111 

—      0.12    cos  [2'3] 

A. 

19 

125 

-     34.67 

A. 

112 

h      0.12 

A. 

126 

-     34.30    cos 

[21'] 

A. 

2 

112 

-      0.12    cos  [1'02] 

A. 

20 

126 

r       0.-37    cos 

42'] 

A. 

112 

-      0.09 

A. 

127 

1.45 

W.&A. 

113 

-      0.09    cos  [2^0] 

A. 

22 

127 

1.45     cos 

"1 

21'] 

W.&A. 

6 

113 

-      0.09 

A. 

128 

r         3.09 

A. 

114 

—      0.09    cos  [202'  1] 

A. 

23 

128 

3.09     cos 

[21] 

A. 

7 

114 

-f      0.10 

A. 

129 

1.92 

W.&A. 

115 

—      0.10    cos  [102] 

A. 

24 

129 

1.92    cos 

~1< 

20] 

W.&A. 

8 

115 

-      0.05 

A. 

130 

1.16 

A. 

116 

-       0.05     cos  [2'21'] 

A. 

28 

130 

1.16     cos 

[I'Oll 

A. 

9 

116 

-      0.06 

A. 

131 

-       0.95 

A. 

117 

-       0.06    cos  [1'41'] 

A. 

30 

131 

—      0.95    cos 

[101] 

A. 

10 

117 

-       0.40 

A. 

132 

+       0.71 

A. 

118 

—       0.40    cos  [100] 

A. 

4 

132 

—       0.71     cos 

;2ooi'] 

A. 

11 

118 

+       0.32 

A. 

133 

-f      0.60 

A. 

119 

-|-       0.01     cos  [I'l] 

A. 

5 

133 

f\-      0.60    cos 
4-       0.23 

[41'] 

A. 
W.&A. 

13 

119 

120 

—       0.31     cos  [2'2] 
+       0.11 

A. 
A. 

133 
134 

—      0.23    cos 

[121'] 

W.&A. 

14 

120 

—       0.11     cos  [202'0] 

A. 

12' 

134 

+       0.31 

W.  &  A. 

121 

Table  135  contains  the  excess  of  the  Moon's  Horizontal  Parallax  above  its  sine. 

305 


TABLE  CX.    ARGUMENT  1. 


Equation  =  345".58  -f  ]86".51  cos  x  -\-  10".17  cos  2x  -f-  0".63  cos  3x  -+-  0".04  cos  4*. 


Days.               O 

1 

9 

3 

4 

5 

Daft. 

Equation. 

Dift. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

DifT. 

Equation. 

Diff 

d. 

ii 

ii 

a 

it 

n 

.00 

334.49 

.42 

377.26 

.43 

419.92 

.42 

459.95 

.38 

494.63 

.31 

621.36 

.22 

.01 

334.91 

.42 

377.69 

.43 

420.34 

.42 

460.33 

.37 

494.94 

.31 

521.58 

.21 

.02 

335.33 

.43 

378.12 

.43 

420.76 

.41 

460.70 

.38 

495.25 

.31 

521.79 

.22 

.03 

335.76 

.42 

378.55 

.43 

421.17 

.42 

461.08 

.37 

495.56 

.31 

522.01 

.21 

.04 

336.18 

.42 

378.98 

.43 

421.59 

.42 

461.45 

.38 

495.87 

.31 

522.22 

.22 

.05 

336.60 

.42 

379.41 

.43 

422.01 

.42 

461.83 

.37 

496.18 

.30 

522.44 

.21 

.06 

337.02 

.42 

379.84 

.43 

422.43 

.41 

462.20 

.38 

496.48 

.31 

522.65 

.21 

.07 

337.44 

.43 

380.27 

.44 

422.81 

.42 

462.58 

.37 

496.79 

.30 

522.86 

.22 

.08 

337.87 

.42 

380.71 

.43 

423.26 

.41 

462.95 

.38 

497.09 

.31 

523.08  j      .21 

.09 

338.29 

.42 

381.14 

.43 

423.67 

.42 

463.33 

.37 

497.40 

.30 

523.29 

.21 

.10 

338.71 

.42 

381.57 

.43 

424.09 

.41 

463.70 

.37 

497.70 

.30 

523.50 

.21 

.11 

339.13 

.42 

382.00 

.43 

424.50 

.42 

464.07 

.37 

498.00 

.30 

523.7  1 

.20 

.12 

339.55 

.43 

382.43 

.43 

424.92 

.41 

464.44 

.38 

498.30 

.31 

523.91 

.21 

.13 

339.98 

.42 

382.86 

.43 

425.33 

.42 

464.82 

.37 

498.61 

.30 

524.12 

.20 

.14 

340.40 

.42 

383.29 

.43 

425.75 

.41 

465.19 

.37 

498.91 

.30 

524.32 

.21 

.15 

340.82 

.42 

383.72 

.43 

426.16 

.41 

465.56 

.37 

499.21 

.30 

684.53 

.20 

.16 

341.24 

.43 

384.15 

.43 

426.57 

.41 

465.93 

.37 

499.51 

.29 

524.73 

.20 

.17 

341.67 

.42 

384.58 

.43 

426.98 

.42 

466.30 

.36 

499.80 

.30 

524.93 

.21 

.18 

342.09 

.43 

385.01 

.43 

427.40 

.41 

466.66 

.37 

500.10 

.29 

525.14 

.20 

.19 

342.52 

.42 

385.44 

.43 

427.81 

.41 

467.03 

.37 

500.39 

.30 

525.34 

.20 

.20 

342.94 

.42 

385.87 

.43 

428.22 

.41 

467.40 

.36 

500.69 

.29 

525.54 

.20 

.21 

343.36 

.43 

386.30 

.43 

428.63 

.41 

467.76 

.37 

500.98 

.30 

525.74 

.19 

.22 

343.79 

.42 

386.73 

.44 

429.04 

.42 

468.13 

.36 

501.28 

.29 

525.93 

.20 

.23 

344.21 

.43 

387.17 

.43 

429.46 

.41 

468.49 

.37 

501.57 

.30 

526.13 

.19 

.24 

344.64 

.42 

387.60 

.43 

429.87 

.41 

468.86 

.36 

501.87 

.29 

526.32 

.20 

.25 

345.06 

.43 

388.03 

.43 

430.28 

.41 

469.22 

.36 

502.16 

.29 

526.52 

.19 

.26 

345.49 

.42 

388.46 

.43 

430.69 

.41 

469.58 

.37 

502.45 

.29 

526.71 

.19 

.27 

345.91 

.43 

388.89 

.43 

431.10 

.41 

469.95 

.36 

502.74 

.28 

526.90 

.19 

.28 

346.34 

.42 

389.32 

.43 

431.51 

.41 

470.31 

.37 

503.02 

.29 

527.09 

.19 

.29 

346.76 

.43 

389.75 

.43 

431.92 

.41 

470.68 

.36 

503.31 

.29 

527.28 

.19 

.30 

347.19 

.43 

390.18 

.43 

432.33 

.41 

471.04 

.36 

503.60 

.28 

527.47 

.19 

.31 

347.62 

.43 

390.61 

.43 

432.74 

.41 

471.40 

.36 

503.88 

.28 

527.66 

.18 

.32 

318.05 

A& 

391.04 

.42 

433.15 

.40 

471.76 

.35 

504.16 

.29 

527.84 

.19 

.33 

348.47 

.43 

391.46 

.43 

488.66 

.41 

472.11 

.36 

504.45 

.28 

528.03 

.18 

.34 

348.90 

.43 

391.89 

.43 

433.96 

.41 

472.47 

.36 

504.73 

.28 

528.21 

.19 

.35 

349.33 

.43 

392.32 

.43 

434.37 

.41 

472.83 

.36 

505.01 

.28 

528.40 

.18 

.36 

349.76 

.42 

392.75 

.43 

(34.78 

.40 

473.19 

.35 

505.29 

.28 

528.58 

.18 

.37 

350.  IN 

.43 

898.18 

.43 

435.18 

.41 

473.54 

.36 

505.57 

.28 

528.76 

.18 

.38 

350.61 

.42 

898.61 

.43 

435.59 

.40 

473.90 

.35 

505.85 

.28 

628.94 

.18 

.39 

351.03 

.43 

394.04 

.41 

435.99 

.41 

474.25 

.36 

506.13 

.28 

529.12 

.18 

.40 

351.46 

.43 

39447 

.43 

436.40 

.40 

474.61 

.35 

506.41 

.28 

529.30 

.17 

.41 

861.89 

.43 

894.90 

.48 

436.80 

.41 

474.96 

.36 

506.69 

.27 

629.47 

.18 

.42 

:{.w.:« 

.42 

395.33 

.42 

437.21 

.40 

475.32 

.35 

506.96 

.28 

689.66 

.17 

.43 

352.7  1 

.43 

395.75 

.43 

437.61 

.41 

475.67 

.36 

507.24 

.27 

529.82 

.18 

.44 

:{;->:(  n 

.43 

396.18 

.43 

4«8.02 

.40 

476.03 

.35 

507.51 

.28 

530.00 

.17 

.45 

353.60 

.43 

396.61 

.43 

438.42 

.40 

476.38 

.35 

507.79 

.27 

530.17 

.17 

.46 

351.03 

M 

397.01 

.41 

438.82 

.40 

476.73 

.:{.r> 

508.06 

.27 

530.34 

.17 

.47 

351.  Hi 

.1-' 

897.4*3 

.42 

439.22 

.41 

477.08 

.35 

608.83 

.27 

530.51 

.17 

.48 

35J.8N 

.43 

397.89 

M 

439.63       .40 

477.43 

.:tr> 

608.60 

.27 

5:i0.68 

.17 

.49 

3.-,5.3  1 

,1:1 

898.83 

.43 

440.03       .40 

477.78 

.:jf> 

508.87 

.27 

530.85 

.17 

.50 

:!.-.:-  7  1 

.13 

398.75 

.43 

440.43       .40 

478.13 

.35 

509.14 

.27 

531.02 

.16 

306 


TABLE  CX.    ARGUMENT  1. 


Equation  =  345".58  +  186".51  cos  x  4-  10".17  cos  2a;  4-  0".63  cos  3x  4-  0".04  cos  4x. 


Days.       O 

I 

9 

» 

4 

5 

Days. 

Equation. 

Diff. 

Equation. 

Diff 

Equation. 

Diff. 

Equation. 

Diff. 

Equation 

Diff 

Equation. 

Diff 

d. 

.50 

355.74 

.43 

398.75 

.43 

440.43 

.40 

478.13 

.35 

509".  14 

.27 

53i'.02 

.16 

.51 

356.17 

.43 

399.18 

.43 

440.83 

.40 

478.48 

.34 

509.41 

.26 

531.18 

.17 

.52 

356.60 

.43 

399.61 

.42 

441.23 

.40 

478.82 

.35 

509.67 

.27 

531.35 

.16 

.53 

357.03 

.43 

400.03 

.43 

441.63 

.40 

479.17 

.34 

509.94 

26 

531.51 

.17 

.54 

357.46 

.43 

400.46 

.43 

442.03 

.40 

479.51 

.35 

510.20 

.27 

531.68 

.16 

.55 

357.89 

.43 

400.89 

.43 

442.43 

.40 

479.86 

.34 

510.47 

.26 

531.84 

.16 

.56 

358.32 

.43 

401.32 

.42 

442.83 

.40 

480.20 

.34 

510.73 

.26 

532.00 

.16 

.57 

358.75 

.42 

401.74 

.43 

443.23 

.40 

480.54 

.35 

510.99 

.27 

532.16 

.15 

.58 

359.17 

.43 

402.17 

.42 

443.63 

.40 

480.89 

.34 

511.26 

.26 

532.31 

.16 

.59 

359.60 

.43 

402.59 

.43 

444.03 

.40 

481.23 

.34 

511.52 

.26 

532.47 

.16 

.60 

360.03 

.43 

403.02 

.43 

444.43 

.40 

481.57 

.34 

511.78 

.26 

.  532.63 

.15 

.61 

360.46 

.43 

403.45 

.42 

444.83 

.39 

481.91 

.34 

512.04 

.25 

532.78 

.15 

.62 

360.89 

.43 

403.87 

.43 

445.22 

.40 

482.25 

.34 

512.29 

.26 

532.93 

.16 

.63 

361.32 

.43 

404.30 

.42 

445.62 

.39 

482.59 

.34 

512.55 

.25 

533.09 

.15 

.64 

361.75 

.43 

404.72 

.43 

446.01 

.40 

482.93 

.34 

512.80 

.26 

533.24 

.15 

.65 

362.18 

.43 

405.15 

.43 

446.41 

.39 

483.27 

.34 

513.06 

.25 

533.39 

.15 

.66 

362.61 

.43 

405.58 

.42 

446.80 

.40 

483.61 

.33 

513.31 

.25 

533.54 

.14 

.67 

363.04 

.43 

406.00 

.43 

447.20 

.39 

483.94 

.34 

513.56 

.26 

533.68 

.15 

.68 

363.47 

.43 

406.43 

.42 

447.59 

.40 

484.28 

.33 

513.82 

.25 

533.83 

.14 

.69 

363.90 

.43 

406.85 

.43 

447.99 

.39 

484.61 

.34 

514.07 

.25 

533.97 

.15 

.70 

364.33 

.43 

407.28 

.42 

448.38 

.39 

484.95 

.33 

514.32 

.25 

534.12 

.14 

.71 

364.76 

.43 

407.70 

.43 

448.77 

.39 

485.28 

.33 

514.57 

.24 

534.26 

.14 

.72 

365.19 

.43 

408.13 

.42 

449.16 

.40 

485.61 

.34 

514.81 

.25 

534.40 

.14 

.73 

365.62 

.43 

408.55 

.43 

449.56 

.39 

485.95 

.33 

515.06 

.24 

534.54 

.14 

.74 

366.05 

.43 

408.98 

.42 

449.95 

.39 

486.28 

.33 

515.30 

.25 

534.68 

.14 

.75 

366.48 

.43 

409.40 

.42 

450.34 

.39 

486.61 

.33 

515.55 

.24 

534.82 

.14 

.76 

366.91 

.43 

409.82 

.42 

450.73 

.39 

486.94 

.33 

515.79 

.24 

534.96 

.13 

.77 

367.34 

.44 

410.24 

.43 

451.12 

.38 

487.27 

.32 

516.03 

.25 

535.09 

.14 

.78 

367.78 

.43 

410.67 

.42 

451.50 

.39 

487.59 

.33 

516.28 

.24 

535.23 

.13 

.79 

368.21 

.43 

411.09 

.42 

451.89 

.39 

487.92 

.33 

516.52 

.24 

535.36 

.14 

.80 

368.64 

.43 

411.51 

.42 

452.28 

.39 

488.25 

.33 

516.76 

.24 

535.50 

.13 

.81 

369.07 

.43 

411.93 

.42 

452.67 

.39 

488.58 

.32 

517.00 

.24 

535.63 

.13 

.82 

369.50 

.43 

412.35 

.43 

453.06 

.38 

488.90 

.33 

517.24 

.23 

535.76 

.13 

.83 

369.93 

.43 

412.78 

.42 

453.44 

.39 

489.23 

.32 

517.47 

.24 

535.89 

.13 

.84 

370.36 

.43 

413.20 

.42 

453.83 

.39 

489.55 

.33 

517.71 

.24 

536.02 

.13 

.85 

370.79 

.43 

413.62 

.42 

454.22 

.38 

489.88 

.32 

517.95 

.23 

536.15 

.12 

.86 

371.22 

.43 

414.04 

.42 

454.60 

.39 

490.20 

.32 

518.18 

.23 

536.27 

.13 

.87 

371.65 

.44 

414.46 

.43 

454.99 

.38 

490.52 

.32 

518.41 

.24 

536.40 

.12 

.88 

372.09 

.43 

414.89 

.42 

455.37 

.39 

490.84 

.32 

518.65 

.23 

536.52 

.13 

.89 

372.52 

.43 

415.31 

.42 

455.76 

.38 

491.16 

.32 

518.88 

.23 

536.65 

.12 

.90 

372.95 

.43 

415.73 

.42 

456.14 

.38 

491.48 

.32 

519.11 

.23 

536.77 

.12 

.91 

373.38 

.43 

416.15 

.42 

456.52 

.38 

491.80 

.32 

519.34 

.23 

536.89 

.12 

.92 

373.81 

.43 

416.57 

.42 

456.90 

.39 

492.12 

.32 

519.57 

.22 

537.01 

.11 

.93 

374.24 

.43 

416.99 

.42 

457.29 

.38 

492.43 

.32 

519.79 

.23 

537.12 

.12 

.94 

37467 

.43 

417.41 

.42 

457.67 

.38 

492.75 

.32 

520.02 

.23 

537.24 

.12 

.95 

375.10 

.43 

417.83 

.42 

458.05 

.38 

493.07 

.31 

520.25 

.22 

537.36 

.11 

.96 

375.53 

.43 

418.25 

.42 

458.43 

.38 

493.38 

.31 

520.47 

.22 

537.47 

.11 

.97 

375.96 

.44 

418.67 

.41 

458.81 

.38 

493.69 

.32 

520.69 

.23 

537.58 

.12 

.98 

376.40 

.43 

419.08 

.42 

459.19 

.38 

494.0 

.31 

520.92 

.22 

537.70 

.11 

.99 

376.83 

.43 

419.50 

.42 

459.57 

.38 

494.32 

.31 

521.14 

.22 

537.8 

.11 

1.00 

377.26 

.43 

419.92 

.43 

459.95 

.38 

494.63 

.31 

521.36 

.22 

537.92 

.11 

307 


TABLE  CX.    ARGUMENT  i. 


Equation  =  34&  .58  -f  186';.51  cos  x  +  10".17  cos  2*  -f-  0".63  cos  S*  -f-  0".04  cos  4x. 


Days.               6 

r 

DiB. 

8 

9 

1O 

11 

Day.. 

Equation. 

Diff. 

Equation. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation 

Diff. 

Equation. 

Diff. 

d. 

.00 

537.92 

.11 

542.88 

.01 

535.80 

.13 

517.31 

.24 

488.99 

.33 

453.16 

.39 

.01 

588.03 

.10 

542.87 

.01 

535.67 

.13 

517.07 

.24 

488.66 

.32 

452.77 

.39 

.02 

538.13 

.11 

542.86 

.02 

535.54 

.14 

516.83 

.24 

488.34 

.33 

452.38 

.38 

.03 

538.24 

.10 

542.84 

.01 

535.40 

.13 

516.59 

.24 

488.01 

.32 

452.00 

.39 

.04 

538.34 

.11 

542.83 

.01 

535.27 

.13 

516.35 

.24 

487.69 

.33 

451.61 

.39 

.05 

538.45 

.10 

542.82 

.02 

535.14 

.14 

516.11 

.25 

487.36 

.33 

451.22 

.39 

.06 

538.55 

.10 

542.80 

.02 

535.00 

.14 

515.86 

.24 

487.03 

.33 

450.83 

.39 

.07 

538.65 

.10 

542.78 

.02 

534.86 

.13 

515.62 

.25 

486.70 

.33 

450.44 

.39 

.08 

538.75 

.10 

542.76 

.   .02 

534.73 

.14 

515.37 

.24 

486.37 

.33 

450.05 

.39 

.09 

538.85 

.10 

542.74 

.02 

534.59 

.14 

515.13 

.25 

486.04 

.33 

449.66 

.39 

.10 

538.95 

.09 

542.72 

.03 

534.45 

.14 

514.88 

.25 

485.71 

.33 

449.27 

.39 

.11 

539.04 

.10 

542.69 

.02 

684.81 

.15 

514.63 

.25 

485.38 

.34 

448.88 

.40 

.12 

539.14 

.09 

542.67 

.03 

534.16 

.14 

514.38 

.25 

485.04 

.33 

448.48 

.39 

.13 

539.23 

.10 

542.64 

.02 

534.02 

.15 

514.13 

.25 

484.71 

.34 

448.09 

.40 

.14 

539.33 

.09 

542.62 

.03 

533.87 

.14 

513.88 

.25 

484.37 

.33 

447.69 

.39 

.15 

539.42 

.09 

542.59 

.03 

533.73 

.15 

U8.B8 

.25 

484.04 

.34 

447.30 

.39 

.16 

539.51 

.09 

542.56 

.03 

533.58 

.15 

513.38 

.26 

483.70 

.34 

446.91 

.40 

.17 

539.60 

.09 

542.53 

.04 

533.43 

.15 

513.12 

.25 

483.36 

.33 

446.51 

.39 

.18 

539.69 

.09 

542.49 

.03 

533.28 

.15 

512.87 

.26 

483.03 

.34 

446.  12 

.40 

.19 

539.78 

.09 

542.46 

.03 

533.13 

.15 

512.61 

.25 

482.69 

.34 

445.72 

.39 

.20 

539.87 

.08 

542.43 

.04 

532.98 

.16 

512.36 

.26 

482.35 

.34 

445.33 

.40 

.21 

539.95 

.08 

542.39 

.04 

532.82 

.15 

512.10 

.26 

482.01 

.34 

444.93 

.40 

.22 

54003 

.09 

542.35 

.03 

532.67 

.16 

511.84 

.25 

481.67 

.35 

444.53 

.39 

.23 

540.12 

.08 

542.32 

.04 

532.51 

.15 

511.59 

.26 

481.32 

.34 

444.14 

.40 

.24 

540.20 

.08 

542.28 

.04 

532.36 

.16 

511.33 

.26 

480.98 

.34 

443.74 

.40 

.25 

540.28 

.08 

542.24 

.04 

532.20 

.16 

511.07 

.26 

480.64 

.34 

443.34 

.40 

.26 

540.36 

'  .08 

542.20 

.05 

532.04 

.16 

510.81 

.27 

480.30 

.35 

442.94 

.40 

.27 

540.44 

.07 

542.15 

.04 

531.88 

.17 

510.54 

.26 

479.95 

.34 

442.54 

.40 

.28 

540.51 

.08 

542.11 

.05 

531.71 

.16 

510.28 

.27 

479.61 

.35 

442.14 

.40 

.29 

540.59 

.08 

542.06 

.04 

531.55 

.16 

510.01 

.26 

479.26 

.34 

441.74 

.40 

.30 

540.67 

.07 

542.02 

.05 

531.39 

.17 

509.75 

.27 

478.92 

.35 

441.34 

.40 

.31 

540.74 

.07 

541.97 

.05 

531.22 

.16 

509.48 

.27 

478.57 

.35 

440.94 

.40 

.32 

540.81 

.07 

541.92 

.05 

531.06 

.17 

509.21 

.26 

478.22 

.34 

440.54 

.40 

.33 

540.88 

.07 

541.87 

.05 

530.89 

.16 

508.95 

.27 

477.88 

.35 

440.14 

.40 

.34 

540.95 

.07 

M1.8S 

.05 

530.73 

.17 

508.68 

.27 

477.53 

.35 

439.74 

.40 

.35 

541.02 

.07 

541.77 

.06 

530.56 

.17 

508.41 

.27 

477.18 

.35 

439.34 

.40 

.36 

M1.09 

.06 

541.71 

.05 

530.39 

.17 

508.14 

M 

476.83 

.35 

488.9 

.41 

.37 

Ml.  16 

.07 

M1.64 

.06 

530.22 

.18 

507.86 

.27 

476.48 

.36 

438.51 

.40 

J8 

541.22 

.06 

M1.M 

.05 

530.04 

.17 

507.59 

.28 

476.12 

.35 

488.11 

.41 

.39 

541.28 

.07 

541.55 

.06 

529.87 

.17 

507.31 

.27 

475.77 

.35 

437.72 

.40 

.40 

M14H 

.06 

541.49 

.06 

529.70 

.18 

507.04 

.28 

475.42 

.sr 

437.32 

.41 

.41 

5  1  1  .  1  1 

.06 

Ml.  48 

.06 

529.52 

.18 

50fi.76 

.27 

475.07 

.36 

436.!)! 

.40 

.42 

M1.41 

.05 

541.37 

.07 

529.34 

.17 

506.49 

.28 

474.71 

.nr 

436.51 

.41 

.43 

54152 

.06 

Ml  JO 

.06 

5-jit.i- 

.18 

60651 

.27 

474.36 

.3* 

436.10 

.40 

.44 

541.58 

.06 

r.  i  i  .-j  i 

.06 

528.99 

.18 

505.94 

.28 

471.0* 

.35 

435.70 

.41 

.45 

541.64 

.05 

541.18 

.07 

528.81 

.18 

505.66 

.28 

473.6.r 

.36 

435.29 

.41 

.46 

Ml.  61 

.05 

5  i  i  .  i  i 

.07 

638.69 

.18 

505.38 

.28 

478.0) 

.3f 

434.88 

.40 

.47 

541.74 

.06 

M1.D4 

.07 

638.41 

.19 

505.10 

» 

472.93 

.35 

434.48 

.41 

.48 

541.80       .05 

540.97 

.07 

628.2< 

.18 

504.81 

as 

472.58 

.36 

484.01 

.40 

.49 

5U.N5       .05 

:>  10.90 

.07 

528.08 

.18 

501.53       .28 

472.22 

.:« 

•133.67 

.41 

.50 

541.90       .05 

510.83       .07 

527.90 

.19 

504.25 

.29 

471.8( 

.36 

433.26 

.41 

TABLE  CX.    ARGUMENT  1. 


Equation  ==  345".58  +  186".51  cos  x  -f- 10".17  cos  2z  -j-  0".63  cos  3*  +  0".04  cos  4*. 


Days.               6 

r 

8 

9 

10 

11 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation 

Diff. 

Equation. 

Diff 

(1. 

.50 

54L90 

.05 

540.83 

.07 

527.90 

.19 

504.25 

.29 

471.86 

.36 

433.26 

.41 

.51 

541.95 

.05 

540.76 

.08 

527.71 

.19 

503.96 

.29 

471.50 

.36 

432.85 

.41 

.52 

542.00 

.04 

540.68 

.07 

527.52 

.18 

503.67 

.28 

471.14 

.37 

432.44 

.41 

.53 

542.04 

.05 

540.61 

.08 

527.34 

.19 

503.39 

.29 

470.77 

.36 

432.03 

.41 

.54 

542.09 

.05 

540.53 

.07 

527.15 

.19 

503.10 

.29 

470.41 

.36 

431.62 

.41 

.55 

542.14 

.04 

540.46 

.08 

526.96 

.19 

502.81 

.29 

470.05 

.36 

431.21 

.41 

.56 

542.18 

.04 

540.38 

.08 

526.77 

.20 

502.52 

.29 

469.69 

.37 

430.80 

.41 

.57 

542.22 

.04 

540.30 

.08 

526.57 

.19 

502.23 

.29 

469.32 

.36 

4:i0.39 

.41 

.58 

542.26 

.04 

540.22 

.08 

526.38 

.20 

501.94 

.29 

468.96 

.37 

429.98 

.41 

.59 

542.30 

.04 

540.14 

.08 

526.18 

.19 

501.65 

.29 

468.59 

.36 

429.57 

.41 

.60 

542.34 

.04 

540.06 

.09 

525.99 

.20 

501.36 

.29 

468.23 

.37 

429.16 

.41 

.61 

542.38 

.03 

539.97 

.08 

525.79 

.20 

501.07 

.30 

467.86 

.37 

428.75 

.41 

.62 

542.41 

.04 

539.89 

.09 

525.59 

.20 

500.77 

.29 

467.49 

.36 

428.34 

.42 

.63 

542.45 

.03 

539.80 

.08 

525.39 

.20 

500.48 

.30 

467.13 

.37 

427.92 

.41 

.64 

542.48 

.04 

539.72 

.09 

525.19 

.20 

500.18 

.29 

466.76 

.37 

427.51 

.41 

.65 

542.52 

.03 

539.63 

.09 

524.99 

.20 

499.89 

.30 

466.39 

.37 

427.10 

.41 

.66 

542.55 

.03 

539.54 

.09 

524.79 

.21 

499.59 

.30 

466.02 

.37 

426.69 

.42 

.67 

542.58 

.02 

539.45 

.10 

524.58 

.20 

499.29 

.30 

465.65 

.37 

426.27 

.41 

.68 

542.60 

.03 

539.35 

.09 

524.38 

.21 

498.99 

.30 

465.28 

.37 

425.86 

.42 

.69 

542.63 

.03 

539.26 

.09 

524.17 

.20 

498.69 

.30 

464.91 

.37 

425.44 

.41 

.70 

542.66 

.02 

539.  17 

.10 

523.97 

.21 

498.39 

.30 

464.54 

.37 

425.03 

.42 

.71 

542.68 

.02 

539.07 

.10 

523.76 

.21 

498.09 

.30 

464.17 

.37 

424.61 

.41 

.72 

542.70 

.03 

538.97 

.09 

523.55 

.21 

497.79 

.31 

463.80 

.38 

424.20 

.42 

.73 

542.73 

.02 

538.88 

.10 

523.34 

.21 

497.48 

.30 

463.42 

.37 

423.78 

.41 

.74 

542.75 

.02 

538.78 

.10 

523.13 

.21 

497.18 

.30 

463.05 

.37 

423.37 

.42 

.75 

542.77 

.02 

538.68 

.10 

522.92 

.21 

496.88 

.31 

462.68 

.38 

422.95 

.42 

.76 

542.79 

.02 

538.58 

.11 

522.71 

.22 

496.57 

.31 

462.30 

.37 

422.53 

.41 

.77 

542.81 

.01 

538.47 

.10 

522.49 

.21 

496.26 

.30 

461.93 

.38 

422.12 

.42 

.78 

542.82 

.02 

538.37 

.11 

52-2.28 

.22 

495.9(i 

.31 

461.55 

.37 

421.70 

.41 

.79 

542.84 

.02 

538.26 

.10 

522.06 

.21 

495.65 

.31 

461.18 

.38 

421.29 

.42 

.80 

542.86 

.01 

538.16 

.11 

521.85 

.22 

495.34 

.31 

460.  SO 

.3S 

420.87 

.42 

.81 

542.87 

.01 

5J8.05 

.11 

521.03 

.22 

495.03 

.31 

460.42 

.as 

420.45 

.42 

.82 

542.88 

.01 

537.94 

.10 

521.41 

.22 

494.72 

.32 

460.04 

.37 

420.03 

.41 

.83 

542.89 

.01 

537.84 

.11 

521.19 

.22 

494.40 

.31 

459.67 

.38 

419.62 

.42 

.84 

542.90 

.01 

537.73 

.11 

520.97 

.22 

494.09 

.31 

459.29 

.38 

419.20 

.42 

.85 

542.91 

.00 

537.62 

.12 

520.75 

.22 

493.78 

.31 

458.91 

.38 

418.78 

.42 

.86 

542.91 

.01 

537.50 

.11 

520.53 

.23 

493.47 

.32 

458.53 

.38 

418.36 

.42 

.87 

542.92 

.00 

537.39 

.12 

520.30 

.22 

493.15 

.31 

458.15 

.38 

417.94 

.42 

.88 

542.92 

.01 

537.27 

.11 

520.08 

.23 

492.84 

.32 

457.77 

.38 

417.52 

.42 

.89 

542.93 

.00 

537.16 

.12 

519.85 

.22 

492.52 

.31 

457.39 

.38 

417.10 

.42 

.90 

542.93 

.00 

537.04 

.12 

519.63 

.23 

492.21 

.32 

457.01 

.38 

416.68 

.42 

.91 

512.93 

.00 

536.92 

.12 

519.40 

.23 

491.89 

.32 

456.63 

.39 

416.26 

.42 

.92 

542.93 

.01 

536.80 

.13 

519.17 

.23 

491.57 

.32 

456.24 

.38 

415.84 

.42 

.93 

542.92 

.00 

536.67 

.12 

518.94 

.23 

491.25 

.32 

455.86 

.39 

415.42 

.42 

.94 

542.92 

.00 

536.55 

.12 

518.71 

.23 

490.93 

.32 

455.47 

.38 

415.00 

.42 

.95 

542.92 

.01 

536.43 

.13 

518.48 

.23 

490.61 

.32 

455.09 

.39 

414.58 

.42 

96 

542.91 

.01 

536.30 

.12 

518.25 

.24 

490.29 

.33 

454.70 

.38 

414.16 

.42 

.97 

542.90 

.00 

536.18 

.13 

518.01 

.23 

489.96 

.32 

454.32 

.39 

413.74 

.43 

.98 

542.90 

.01 

536.05 

.12 

517.78 

.24 

489.64 

.33 

453.93 

.38 

413.31 

.42 

.99 

542.89 

.01 

535.93 

.13 

517.54 

.23 

489.31 

.32 

453.55 

.39 

412.89 

.42 

1.00 

542.88 

.01 

535.80 

.13 

517.31 

.24 

488.99 

.33 

453.16 

.39 

412.47 

.42 

1 

309 


TABLE  CX.    ARGUMENT  1. 


Equation  =  345".58  +  186". 51  cos  x  +  10".  17  cos  2x  +  0".63  cos  3z  -f  0".04  cos 


Days.              19 

13 

14 

15 

16 

17 

Days. 

Equation. 

Diff. 

Equation. 

Diff 

Equation. 

Diff. 

Equal  iori. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

d. 

it 

ii 

( 

n 

( 

.00 

412.47 

.42 

369.62 

.43 

327.07 

.42 

286.97 

.38 

251.04 

.33 

220.59 

.27 

.01 

412.05 

.42 

369.19 

.43 

326.65 

.41 

286.59 

.38 

250.71 

.33 

220.32       .27 

.02 

411.63 

.43 

368.76 

.44 

326.24 

.42 

286.21 

.38 

250:38 

.34 

220.05       .28 

.03 

411.20 

.42 

368.32 

.43 

325.82 

.41 

285.83 

.38 

250.04 

.33 

219.77 

.27 

.04 

410.78 

.42 

367.89 

.43 

325.41 

.42 

285.45 

.38 

249.7  1 

.33 

219.50 

.27 

.05 

410.36 

.42 

367.46 

.43 

324:99 

.41 

285.07 

.38 

249.38 

.33 

219.23 

.27 

.06 

409.94 

.43 

367.03 

.43 

324.58 

.42 

284.69 

.38 

249.05 

.33 

218.96 

.27 

.07 

409.51 

.42 

366.60 

.43 

324.16 

.41 

284.31 

.38 

248.72 

.33 

218.69       .26 

.08 

409.09 

.43 

366.17 

.43 

323.75 

.42 

283.93 

.38 

248.39 

.33 

218.43 

.27 

.09 

408.66 

.42 

365.74 

.43 

323.33 

.41 

283.55 

.38 

248.06 

.33 

218.16 

.27 

.10 

408.24 

.42 

365.31 

.43 

322.92 

.41 

283.17 

.38 

247.73 

.33 

217.89 

.27 

.11 

407.82 

.43 

364.88 

.43 

322.51 

.41 

282.79 

.38 

247.40 

.33 

217.62 

.26 

.12 

407.39 

.42 

364.45 

.43 

322.10 

.42 

282.41 

.37 

247.07 

.32 

217.36 

.27 

.13 

406.97 

.43 

364.02 

.43 

321.68 

.41 

282.04 

.38 

246.75 

.33 

217.09 

.26 

.14 

406.54 

.42 

363.59 

.43 

321.27 

.41 

281.66 

.38 

246.42 

.33 

216.83 

.27 

.15 

406.12 

.43 

363.16 

.43 

320.86 

.41 

281.28 

.37 

246.09 

.32 

216.56 

.26 

.16 

405.69 

.42 

362.73 

.43 

320.45 

.41 

280.91 

.38 

245.77 

.33 

216.30 

.26 

.17 

405.27 

.43 

362.30 

.43 

320.04 

.42 

280.53 

.37 

245.44 

.32 

216.04 

.27 

.18 

404.84 

.42 

361.87 

.43 

319.62 

.41 

280.16 

T38 

245.12 

.33 

215.77 

.26 

.19 

404.42 

.43 

361.44 

.43 

319.21 

.41 

279.78 

.37 

244.79 

.32 

215.51 

.26 

.20 

403.99 

.43 

361.01 

.43 

318.80 

.41 

279.41 

.37 

244.47 

.32 

215.25 

.26 

.21 

403.56 

.42 

360.58 

.43 

318.39 

.41 

279.04 

.38 

244.15 

.32 

214.99 

.26 

.22 

403.  14 

.43 

360.15 

.43 

317.98 

.42 

278.66 

.37 

243.83 

.32 

214.73 

.25 

.23 

402.71 

.42 

359.72 

.43 

317.56 

.41 

278.29 

.38 

243.51 

.32 

214.48 

.26 

.24 

402.29 

.43 

359.29 

.43 

317.15 

.41 

277.91 

.37 

243.19 

.32 

214.22 

.26 

.25 

401.86 

.43 

358.8H 

.43 

316.74 

.41 

277.54 

.37 

242.87 

.32 

213.96 

.26 

.26 

401.43 

.43 

358.43 

.43 

316.33 

.41 

277.17 

.37 

242.55 

.32 

213.70 

.25 

.27 

401.00 

.42 

358.00 

.42 

315.92 

.40 

276.80 

.37 

242.23 

.32 

213.45 

.26 

.28 

400.58 

.43 

357.58 

.43 

315.52 

.41 

276.43 

.37 

241.91 

.32 

213.19 

.25 

.29 

400.15 

.43 

357.15 

.43 

315.11 

.41 

276.06 

.37 

241.59 

.32 

212.94 

.26 

.30 

399.72 

.43 

356.72 

.43 

314.70 

.41 

275.69 

.37 

241.27 

.31 

212.68 

.25 

.31 

399.29 

.42 

356.29 

.43 

314.29 

.41 

275.32 

.37 

240.96 

.32 

212.43 

.25 

.32 

398.87 

.43 

355.86 

.42 

313.88 

.40 

274.95 

.36 

210.64 

.31 

212.18 

.26 

.33 

398.44 

.42 

355.44 

.43 

313.48 

.41 

274.59 

.37 

240.33 

.32 

211.92 

.25 

.34 

398.02 

.43 

355.01 

.43 

313.07 

.41 

274.22 

.37 

240.01 

.31 

211.67 

.25 

.35 

397.59 

.43 

354.58 

.43 

312.66 

.41 

273.85 

.37 

239.70 

.31 

211.42 

.25 

.36 

:t97.i<; 

.43 

354.15 

.43 

312.25 

.40 

273.48 

.36 

239.39 

.31 

211.17 

.25 

.37 

396.73 

.43 

353.72 

.42 

311.85 

.41 

273.12 

.37 

239.08 

.32 

210.92 

.24 

.96 

:!()(•>.:») 

.43 

853.30 

.43 

311.44 

.40 

272.75 

.86 

288.76 

.31 

210.6H 

.25 

.39 

396.87 

.43 

352.87 

.43 

311.04 

.41 

272.39 

.37 

238.45 

.31 

210.43 

.25 

.40 

395.44 

.43 

352.44 

.43 

310.63 

.40 

272.02 

.36 

238.14 

.31 

210.18 

.25 

.41 

896.01 

.43 

352.01 

.43 

310.23 

.41 

271.66 

.37 

237.83 

.31 

209.93 

.24 

.42 

39i..r>s      .42 

851.68 

.42 

309.82 

.40 

271.29 

.36 

237.52 

.31 

209^69 

.25 

.43 

Hill  Hi       .43 

851.16 

.43 

309.42 

.41 

270.93 

.87 

237.2  i 

.:ti 

•JO!).  1  1 

.24 

.44 

393.7.'! 

.43 

350.73 

.43 

809.01 

.40 

270.56 

.36 

236.90 

.31 

209.20 

.25 

.45 

393.30 

.43 

:r>o.;t( 

.43 

308.61 

.40 

270.20 

.:((, 

236.59 

.31 

208.95 

.     .24 

.46 

:i!iv>>-       .«:« 

849.87 

.42 

308.21 

.40 

269.84 

.86 

236.28 

.30 

208.71 

.24 

.47 

:!!>-.!  1  t        ,13 

849.4E 

.48 

807.81 

.41 

269.48 

.37 

235.98 

.31 

208.47 

.25 

.48 

:m.01       .43 

349.02 

.42 

:i07.  K 

.40 

'.'(lit.  11 

.36 

235.67 

.30 

208.22 

.24 

.49 

.•i!H..->N       .43 

848.64 

.43 

807.(X 

.40 

268.75 

.36 

235.31 

.31 

207.98 

.24 

.50 

391.15       .43 

848.11 

.43 

306.60 

.40 

268.81 

.36 

235.06 

.30 

207.74 

.24 

310 


TABLE  CX.    ARGUMENT  1. 


Equation  =  345".58  -f  186".51  cos  x  +  10".  17  cos  2*  -f  0".63  cos  3x  -f  0".04  cos  4s. 


Days.              12 

13 

14 

IS 

16 

17 

Days. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation 

Diff. 

Equation. 

Diff. 

Equation 

Diff. 

Equation. 

Diff. 

d. 

it 

a 

. 

• 

! 

.50 

391.15 

.43 

348.17 

.43 

306.60 

.40 

268.39 

.36 

235.06 

.30 

207.74 

.24 

.51 

390.72 

.43 

347.74 

.42 

306.20 

.40 

268.03 

.36 

234.76 

.31 

207.50 

.24 

.52 

390.29 

.43 

347.32 

.43 

305.80 

.40 

267.67 

.35 

234.45 

.30 

207.26 

.23 

.53 

389.86 

.43 

346.89 

.42 

305.40 

.40 

267.32 

.36 

234.15 

.31 

207.03 

.24 

.54 

389.43 

.43 

346.47 

.43 

305.00 

.40 

266.96 

.36 

233.84 

.30 

206.79 

.24 

.55 

389.00 

.43 

346.04 

.43 

301.60 

.40 

266.60 

.36 

233.54 

.30 

206.55 

.23 

.56 

388.57 

.43 

345.61 

.42 

304.20 

.40 

266.2  1 

.35 

233.2  1 

.30 

206.32 

.24 

.57 

388.14 

.43 

345.19 

.43 

303.80 

.40 

265.89 

.36 

2^2.9  1 

.30 

206.08 

.23 

.58 

387.71 

.43 

344.76 

.42 

303.40 

.40 

265.53 

.35 

232.64 

.30 

205.85 

.24 

.59 

387.28 

.43 

344.34 

.43 

303.00 

.40 

265.18 

.36 

232.34 

.30 

205.61 

.23 

• 

.60 

386.85 

.43 

343.91 

.42 

302.60 

.40 

264.82 

.35 

232.04 

.30 

205.38 

.23 

.61 

386.42 

.43 

343.49 

.43 

302.20 

.40 

264.47 

.36 

231.74 

.30 

205.15 

.23 

.62 

385.99 

.43 

343.06 

.42 

301.80 

.39 

264.11 

.35 

231.44 

.29 

204.92 

.24 

.63 

385.56 

.43 

342.64 

.43 

301.41 

.40 

263.76 

.36 

231.15 

.30 

204.68 

.23 

.64 

385.13 

.43 

342.21 

.42 

301.01 

.40 

263.40 

.35 

230.85 

.30 

204.45 

.23 

.65 

384.70 

.43 

341.79 

.42 

300.61 

.39 

263.05 

.35 

230.55 

.29 

204.22 

.23 

.66 

384.27 

.43 

341.37 

.43 

300.22 

.40 

262.70 

.35 

230.26 

.30 

203.99 

.23 

.67 

383.81 

.43 

340.94 

.42 

299.82 

.39 

262.35 

.35 

229.96 

.29 

203.76 

.22 

.68 

383.41 

.43 

340.52 

.43 

299.43 

.40 

262.00 

.35 

229.67 

.30 

203.54 

.23 

.69 

382.98 

.43 

340.09 

.42 

299.03 

.39 

261.65 

.35 

229.37 

.29 

203.31 

.23 

.70 

382.55 

.43 

339.67 

.42 

298.64 

.39 

261.30 

.35 

229.08 

.29 

203.08 

.22 

.71 

382.12 

.43 

339.25 

.42 

298.25 

.40 

260.95 

.35 

228.79 

.29 

202.86 

.23 

.72. 

381.69 

.44 

338.83 

.43 

297.85 

.39 

260.60 

.35 

228.50 

.29 

202.63 

.22 

.73 

381.25 

.43 

338.40 

.42 

297.46 

.40 

260.25 

.35 

228.21 

.29 

202.41 

.23 

.74 

380.82 

.43 

337.98 

.42 

297.06 

.39 

259.90 

.35 

227.92 

.29 

202.18 

.22 

.75 

380.39 

.43 

337.56 

.42 

296.67 

.39 

259.55 

.35 

227.63 

.29 

201.96 

.22 

.76 

379.96 

.43 

337.14 

.42 

296.28 

.39 

259.20 

.34 

227.34 

.29 

201.74 

.22 

.77 

379.53 

.43 

336.72 

.43 

295.89 

.40 

258.86 

.35 

227.05 

.28 

201.52 

.23 

.78 

379.10 

.43 

336.29 

.42 

295.49 

.39 

258.5! 

.34 

226.77 

.29 

201.29 

.22 

.79 

378.67 

.43 

335.87 

.42 

295.10 

.39 

258.17 

.35 

226.48 

.29 

201.07 

.22 

.80 

378.24 

.43 

335.45 

.42 

294.71 

.39 

257.82 

.34 

226.19 

.29 

200.85 

.22 

.81 

377.81 

.43 

335.03 

.42 

294.32 

.39 

257.48 

.34 

226.90 

.28 

200.63 

.22 

.82 

377.38 

.44 

334.61 

.42 

293.93 

.39 

257.14 

.35 

225.62 

.29 

200.41 

.21 

.83 

376.94 

.43 

334.19 

.42 

293.54 

.39 

256.79 

.34 

225.33 

.28 

200.20 

.22 

.84 

376.51 

.43 

333.77 

.42 

293.15 

.39 

256.45 

.34 

225.05 

.29 

199.98 

.22 

.85 

376.08 

.43 

333.35 

.42 

292.76 

.39 

256.11 

.34 

224.76 

.28 

199.76 

.21 

.86 

375.65 

.43 

332.93 

.42 

292.37 

.39 

255.77 

.34 

224.48 

.28 

199.55 

.22 

.87 

375.22 

.43 

332.51 

.42 

291.98 

.38 

255.43 

.35 

224.20 

.28 

199.33 

.21 

.88 

374.79 

.43 

332.09 

.42 

291.60 

.39 

255.08 

.34 

223.92 

.28 

199.12 

.22 

.89 

374.36 

.43 

331.67 

.42 

291.21 

.39 

254.74 

.34 

223.64 

.28 

198.90 

.21 

.90 

373.93 

.43 

331.25 

.42 

290.82 

.39 

254.40 

.34 

223.36 

.28 

198.69 

.21 

.91 

373.50 

.43 

330.83 

.42 

290.43 

.38 

254.06 

.34 

223.08 

.28 

198.48 

.21 

.92 

373.07 

.44 

330.41 

.41 

290.05 

.39 

253.72 

.33 

222.80 

.28 

198.27 

.21 

.93 

372,63 

.43 

330.00 

.42 

289.66 

.38 

253.39 

.34 

222.52 

.28 

198.06 

.21 

.94 

372.20 

.43 

329.58 

.42 

289.28 

.39 

253.05 

.34 

222.24 

.28 

197.85 

.21 

.95 

371.77 

.43 

329.16 

.42 

288.89 

.38 

252.71 

.33 

221.96 

.27 

197.64 

.21 

.96 

371.34 

.43 

328.74 

.42 

288.51 

.39 

252.38 

.34 

221.69 

.28 

197.43 

.20 

.97 

370.91 

.43 

328.32 

.41 

288.12 

.38 

252.04 

.33 

221.41 

.27 

197.23 

.21 

.98 

370.48 

.43 

327.91 

.42 

287.74 

.39 

251.71 

.34 

221.14 

.28 

197.02 

.20 

.99 

370.05 

.43 

327.49 

.42 

287.35 

.38 

251.37 

.33 

220.86 

.27 

196.82 

.21 

1.00 

369.62 

.43 

327.07 

.42 

286.97 

.38 

251.04 

.33 

220.59 

.27 

196.61 

.20 

311 


TABLE  CX.    ARGUMENT  1. 


Equation  =  345".58  -f  186".51  coa  i  -f- 10".17  cos  2x  -f  0".63  cos  3z  +  0".04  cos  4x. 


18 

19 

30 

31 

Diff. 

23 

D»jfc 

Equation. 

Did. 

Equation. 

IiilT. 

Equation. 

I'll! 

Equation. 

Equation. 

Kill. 

d. 

.00 

196.61 

.20 

179.77 

.13 

170.51 

.05 

169.03 

.03 

175.37 

.10 

.01 

196.41 

.21 

179.64 

.13 

170.46 

.05 

169.06 

.02 

175.47 

.11 

.02 

196.20 

.20 

179.51 

.12 

170.41 

.06 

169.08 

.03 

175.58 

.10 

.03 

196.00 

.21 

179.39 

.13 

170.35 

.05 

169.11 

.02 

175.68 

.11 

.04 

195.79 

.20 

179.26 

.13 

170.30 

.05 

169.13 

.03 

175.79 

.10 

.05 

195.59 

.20 

179.13 

.13 

170.25 

.05 

169.16 

.03 

175.89 

.11 

.06 

195.39 

.20 

179.00 

.12 

170.20 

.05 

169.19 

.03 

176.00 

.11 

.07 

195.19 

.20 

178.88 

.13 

170.15 

.04 

169.22 

.03 

176.11 

.10 

.08 

194.99 

.20 

178.75 

.12 

170.  1  1 

.05 

169.25 

.03 

176.21 

.11 

.09 

194.79 

.20 

178.63 

.13 

170.06 

.05 

169.28 

.03 

176.32 

.11 

.10 

194.59 

.20 

178.50 

.12 

170.01 

.04 

169.31 

.03 

176.43 

.11 

.11 

194.39 

.19 

178.38 

.12 

169.97 

.05 

169.34 

.04 

176.54 

.11 

.12 

194.20 

.20 

178.26 

.13 

169.92 

.04 

169.38 

.03 

176.65 

.12 

.13 

194.00 

.19 

178.13 

.12 

169.88 

.05 

169.41 

.04 

176.77 

.11 

.14 

193.81 

.20 

178.01 

.12 

169.83 

.04 

169.45 

.03 

176.88 

.11 

.15 

193.61 

.19 

177.89 

.12 

169.79 

.04 

169.48 

.04 

176.99 

.12 

.16 

193.42 

.19 

177.77 

.12 

169.75 

.04 

169.52 

.04 

177.11 

.11 

.17 

193.23 

.20 

177.65 

.11 

169.71 

.04 

169.56 

.03 

177.22 

.12 

.18 

193.03 

.19 

177.54 

.12 

169.67 

.04 

169.59 

.04 

177.34 

.11 

.19 

192.84 

.19 

177.42 

.12 

169.63 

.04 

169.63 

.04 

177.45 

.12 

.20 

192.65 

.19 

177.30 

.11 

169.59 

.04 

169.67 

.04 

177.57 

.12 

.21 

192.46 

.19 

177.19 

.11 

169.55 

.04 

169.71 

.04 

177.69 

.12 

.22 

192.27 

.18 

177.08 

.12 

169.51 

.03 

169.75 

.05 

177.81 

.12 

.23 

192.09 

.19 

176.96 

.11 

169.48 

.04 

169.80 

.04 

177.93 

.12 

.24 

191.90 

.19 

176.85 

.11 

169.44 

.04 

169.84 

.04 

178.05 

.12 

.25 

191.71 

.18 

176.74 

.11 

169.40 

.03 

169.88 

.05 

178.17 

.12 

.26 

191.53 

.19 

176.63 

.11 

169.37 

.03 

169.93 

.04 

178.29 

.12 

.27 

191.34 

.18 

176.52 

.11 

169.34 

.04 

169.97 

.05 

178.41 

.13 

.28 

191.16 

.19 

176.41 

.11 

169.30 

.03 

170.02 

.04 

178.54 

.12 

.29 

190.97 

.18 

176.30 

.11 

169.27 

.03 

170.06 

.05 

178.66 

.12 

.30 

190.79 

.18 

176.19 

.11 

169.24 

.03 

170.11 

.05 

178.78 

.13 

.31 

190.61 

.18 

176.08 

.11 

169.21 

.03 

170.16 

.05 

178.91 

.13 

.32 

190.43 

.19 

175.97 

.10 

169.18 

.02 

170.21 

.05 

179.04 

.12 

.33 

190.24 

.18 

175.87 

.11 

169.16 

.03 

170.26 

.05 

179.16 

.13 

.34 

190.06 

.18 

175.76 

.11 

169.13 

.03 

170.31 

.05 

179.29 

.13 

.35 

189.88 

.18 

175.65 

.10 

169.10 

.02 

170.36 

.05 

179.42 

.13 

.36 

189.70 

.18 

175.55 

.10 

169.08 

.03 

170.41 

.()(> 

179.55 

.13 

.37 

189.52 

.17 

175.45 

.11 

169.05 

.02 

170.47 

.05 

17!UiS 

.13 

.38 

189.35 

.18 

175.31 

.10 

169.03 

.03 

170.52 

.06 

17!).  HI 

.13 

.39 

189.17 

.18 

175.24 

.10 

169.00 

.02 

170.58 

.05 

179.91 

.13 

.40 

INS.  'Ml 

.17 

175.14 

.10 

168.98 

.02 

170.63 

.06 

180.07 

.13 

.41 

188.82 

.18 

175.04 

.10 

168.96 

.<fe 

170.69 

.06 

180.20 

.14 

.42 

188.64 

.17 

174.94 

.09 

168.94 

.03 

170.75 

.05 

18031 

.13 

.43 

188.47 

.18 

174.85 

.10 

M8.91 

.02 

170.80 

.06 

180.47 

.14 

.44 

188.29 

.17 

174.75 

.10 

168.89 

.02 

170.86 

.06 

180.61 

.13 

.45 

188.12 

.17 

m.r,:. 

.09 

168.87 

.02 

170.92 

.06 

180.74 

.14 

.46 

187.!):.          .17 

174.56 

.10 

168.85 

.01 

170.98 

.06 

180.88 

.14 

.47 

187.  >         .17 

174.46 

.09 

Kis.Nl 

.02 

171.01 

.07 

181.02 

.14 

.48 

1*7.61          .17 

n  i.:n 

.10 

168.89 

.01 

171.11 

.06 

181.16 

.14 

.49 

1H7.II          .17 

17431 

.09 

168.81 

.02 

171.17 

.06 

iNi.:(0 

.14 

.50 

1*7.  27          .17 

174.  1H 

.09 

168.79 

.01 

171.23 

.06 

181.44 

.14 

312 


TABLE  CX.    ARGUMENT  1. 


Equation  =  845".58  -f- 186".51  cos  *  +  10".17  cos  2*  -f  0".63  cos  3*  -f  0  .04  cos  4x. 


18 

19 

2O 

21 

22 

Days. 

Equation. 

Diff 

Equation  . 

Diff. 

Equation 

Diff. 

Equation 

Diff. 

Equation. 

Diff. 

il. 

.. 

t 

t 

H 

.50 

187.27 

.17 

174.18 

.09 

168.79 

.01 

171.23 

.06 

181.44 

.14 

.51 

187.10 

.17 

174.09 

.09 

168.78 

.01 

171.29 

.07 

181.58 

.14 

.52 

186.93 

.16 

174.00 

.10 

168.77 

.02 

171.36 

.06 

181.72 

.15 

.53 

186.77 

.17 

173.90 

.09 

168.75 

.01 

171.42 

.07 

181.87 

.14 

.54 

186.60 

.17 

173.81 

.09 

168.74 

.01 

171.49 

.06 

182.01 

.14 

.55 

186.43 

.16 

173.72 

.09 

168.73 

.01 

171.55 

.  .07 

182.15 

.15 

.56 

186.27 

.16 

173.63 

.08 

168.72 

.01 

171.62 

.07 

182.30 

.14 

.57 

186.11 

.17 

173.55 

.09 

168.71 

.01 

171.69 

.07 

182.44 

.15 

.58 

185.94 

.16 

173.46 

.08 

168.70 

.01 

171.76 

.07 

182.59 

.14 

.59 

185.78 

.16 

173.38 

.09 

168.69 

.01 

171.83 

.07 

182.73 

.15 

.60 

185.62 

.16 

173.29 

.08 

168.68 

.01 

171.90 

.07 

182.88 

.15 

.61 

185.46 

.16 

173.21 

.09 

168.67 

.00 

171.97 

.07 

183.03 

.15 

.62 

185.30 

.16 

173.12 

.0? 

168.67 

.01 

172.04 

.08 

183.18 

.15 

.63 

185.14 

.16 

173.04 

.09 

168.66 

.00 

172.12 

.07 

183.33 

.15 

.64 

184.98 

.16 

172.95 

.08 

168.66 

.01 

172.19 

.07 

183.48 

.15 

.65 

184.82 

.16 

172.87 

.08 

168.65 

.00 

172.26 

.08 

183.63 

.15 

.66 

184.66 

.15 

172.79 

.08 

168.65 

.01 

172.34 

.08 

183.78 

.16 

.67 

184.51 

.16 

172.71 

.07 

168.64 

.00 

172.42 

.07 

183.94 

.15 

.68 

184.35 

.15 

172.64 

.08 

168.64 

.00 

172.49 

.08 

184.09 

.16 

.69 

184.20 

.16 

172.56 

.08 

168.64 

.01 

172.57 

.08 

184.25 

.15 

.70 

184.04 

.15 

172.48 

.08 

168.65 

.00 

172.65 

.08 

184.40 

.16 

.71 

183.89 

.15 

172.40 

.07 

168.65 

.00 

172.73 

.08 

184.56 

.15 

.72 

183.74 

.16 

172.33 

.08 

168.65 

.01 

172.81 

.09 

184.71 

.16 

.73 

183.58 

.15 

172.25 

.07 

168.66 

.00 

172.90 

.08 

184.87 

.15 

.74 

183.43 

.15 

172.18 

.08 

168.66 

.00 

172.98 

.08 

185.02 

.16 

.75 

183.28 

.15 

172.10 

.07 

168.66 

.01 

173.06 

.08 

185.18 

.16 

.76 

183.13 

.14 

172.03 

.07 

168.67 

.01 

173.14 

.09 

185.34 

.16 

.77 

182.99 

.15 

171.96 

.08 

168.68 

.00 

173.23 

.08 

185.50 

.17 

.78 

182.84 

.14 

171.88 

.07 

168.68 

.01 

173.31 

.09 

185.67 

.16 

.79 

182.70 

.15 

171.81 

.07 

168.69 

.01 

173.40 

.08 

185.83 

.16 

.80 

182.55 

.15 

171.74 

.07 

168.70 

.01 

173.48 

.09 

185.99 

.16 

.81 

182.40 

.14 

171.67 

.07 

168.71 

.01 

173.57 

.09 

186.15 

.17 

.82 

182.26 

.15 

171.60 

.06 

168.72 

.01 

173.66 

.09 

186.32 

.16 

.83 

182.11 

.14 

171.54 

.07 

168.73 

.01 

173.75 

.09 

186.48 

.17 

.84 

181.97 

.15 

171.47 

.07 

168.74 

.01 

173.84 

.09 

186.65 

.16 

.85 

181.82 

.14 

171.40 

.06 

168.75 

.01 

173.93 

.09 

186.81 

.17 

.86 

181.68 

.14 

171.34 

.06 

168.76 

.02 

174.02 

.09 

186.98 

.17 

.87 

181.54 

.14 

171.28 

.07 

168.78 

.01 

174.11 

.10 

187.15 

.16 

.88 

181.40 

.14 

171.21 

.06 

168.79 

.02 

174.21 

.09 

187.31 

.17 

.89 

181.26 

.14 

171.15 

.06 

168.81 

.01 

174.30 

.09 

187.48 

.17 

.90 

181.12 

.14 

171.09 

.06 

168.82 

.02 

174.39 

.10 

187.65 

.17 

.91 

180.98 

.13 

171.03 

.06 

168.84 

.02 

174.49 

.09 

187.82 

.17 

.92 

180.85 

.14 

170.97 

.06 

168.86 

.02 

174.58 

.10 

18799 

.18 

.93 

180.71 

.13 

170.91 

.06 

168.88 

.02 

174.68 

.09 

188.17 

.17 

.94 

180.58 

.14 

170.85 

.06 

168.90 

.02 

174.77 

.10 

188.34 

.17 

.95 

180.44 

.13 

170.79 

.06 

168.92 

.02 

174.87 

.10 

188.51 

.18 

.96 

180.31 

.14 

170.73 

.05 

168.94 

.02 

174.97 

.10 

188.69 

.17 

.97 

180.17 

.13 

170.68 

.06 

168.96 

.03 

175.07 

.10 

188.86 

.18 

.98 

180.04 

.14 

170.62 

.05 

168.99 

.02 

175.17 

.10 

189.04 

.17 

.99 

179.90 

.13 

170.57 

.06 

169.01 

.02 

175.27 

.10 

189.21 

.18 

1.00 

179.77 

.13 

170.51 

.05 

169.03 

.03 

175.37 

.10 

189.39 

.18 

313 


TABLE  CX.    ARGUMENT  1. 


Equation  =  345".58  +  186".51  cos  x  +  10".17  cos  2x  +  0".63  cos  3x  -f-  0".04  cos  4x. 


\_        93 

24 

23 

26 

27 

Day.. 

Equation. 

Difl. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

Equation. 

Diff. 

d. 
.00 

189.39 

.18 

210.74 

.25 

238.84 

.31 

272.85 

.37 

311.56 

.41 

.01 

18P.57 

.18 

210.99 

.25 

239.15 

.32 

273.22 

.36 

311.97 

.40 

.02 

189.75 

.18 

211.24 

.25 

239.47 

.31 

273.58 

.37 

312.37 

.41 

.03 

189.93 

.18 

211.49 

.25 

239.78 

.32 

273.95 

.36 

812.78 

.40 

.04 

190.11 

.18 

211.74 

.25 

210.10 

.31 

274.31 

.37 

313.18 

.41 

.05 

190.29 

.18 

211.99 

.25 

240.41 

.32 

274.68 

.37 

313.59 

.41 

.06 

190.47 

.18 

212.24 

.26 

240.73 

.32 

275.05 

.37 

314.00 

.41 

.07 

190.65 

.19 

212.50 

.25 

241.05 

.31 

275.42 

.37 

314.41 

.40 

.08 

190.84 

.18 

212.75 

.26 

241.36 

.32 

275.79 

.37 

314.81 

.41 

.09 

191.02 

.18 

213.01 

.25 

241.68 

.32 

276.16 

.37 

315.22 

.41 

.10 

191.20 

.19 

213.26 

.26 

242.00 

.32 

276.53 

.37 

315.63 

.41 

.11 

191.39 

.19 

213.52 

.25 

242.32 

.32 

276.90 

.37 

316.04 

.41 

.12 

191.58 

.18 

213.77 

.26 

242.64 

.81 

277.27 

.38 

316.45 

.41 

.13 

191.76 

.19 

214.03 

.25 

242.95 

.32 

277.65 

.37 

316.86 

.41 

.14 

191.95 

.19 

214.28 

.26 

243.27 

.32 

278.02 

.37 

317.27 

.41 

.15 

192.14 

.19 

214.54 

.26 

243.59 

.32 

278.39 

.37 

317.68 

.41 

.16 

192.33 

.19 

214.80 

.26 

243.91 

.33 

278.76 

.38 

318.09 

.41 

.17 

192.52 

.19 

215.06 

.26 

244.24 

.32 

279.14 

.37 

318.50 

.41 

.18 

192.71 

.19 

215.32 

.26 

244.56 

.33 

279.51 

.38 

318.91 

.41 

.19 

192.90 

.19 

215.58 

.26 

244.89 

.32 

279.89 

.37 

319.32 

.41 

.20 

193.09 

.19 

215.84 

.26 

245.21 

.32 

280.26 

.38 

319.73 

.41 

.21 

193.28 

.20 

216.10 

.27 

245.53 

.33 

280.64 

.37 

320.14 

.42 

.22 

193.48 

.19 

216.37 

.26 

245.86 

.32 

281.01 

.38 

320.56 

.41 

.23 

193.67 

.20 

216.63 

.27 

246.18 

.33 

281.39 

.37 

320.97 

.42 

.24 

193.87 

.19 

216.90 

.26 

246.51 

.32 

281.76 

.38 

321.39 

.41 

.25 

194.06 

.20 

217.16 

.27 

246.83 

.33 

282.14 

.38 

321.80 

.41 

.26 

194.26 

.20 

217.43 

.27 

247.16 

.33 

282.52 

.38 

322.21 

.42 

.27 

194.46 

.19 

217.70 

.26 

247.49 

.32 

282.90 

.37 

322.63 

.41 

.28 

194.65 

.20 

217.96 

.27 

247.81 

.33 

283.27 

.38 

323.04 

.42 

.29 

194.85 

.20 

218.23 

.27 

248.14 

.33 

283.65 

.38 

323.46 

.41 

.30 

195.05 

.20 

218.50 

.27 

248.47 

.33 

284.03 

.38 

323.87 

.41 

.31 

195.25 

.20 

218.77 

.27 

248.80 

.33 

284.41 

.38 

324.28 

.42 

.32 

195.45 

20 

219.04 

.27 

249.13 

M 

284.79 

.:(N 

324.70 

.41 

M 

196.66 

.20 

219.31 

.27 

249.47 

.33 

285.17 

.38 

325.11 

.42 

.34 

195.85 

.20 

219.58 

.27 

249.80 

.33 

285.55 

.38 

325.53 

.41 

M 

196.05 

.21 

219.85 

.27 

250.13 

.33 

285.93 

.38 

325.94 

.42 

.36 

196.26 

.20 

220.12 

.27 

250.46 

.:ti 

286.31 

.39 

326.36 

.41 

.37 

196.46 

.21 

220.39 

.28 

250.80 

.33 

286.70 

.38 

326.77 

.42 

.38 

186.67 

.20 

220.67 

.27 

251.13 

.34 

287.08 

.39 

327.19 

.41 

.39 

196.87 

.21 

220.94 

.27 

251.47 

m 

287.47 

.38 

327.60 

.42 

.40 

197.08 

.21 

221.21 

.28 

251.80 

.34 

287.85 

.38 

328.02 

.42 

.41 

197.29 

.21 

221.49 

as 

252.14 

.33 

288.23 

.39 

328.44 

.42 

.42 

197.50 

.20 

22  1  .77 

.27 

252.47 

.34 

288.62 

.38 

32886 

.41 

M 

197.70 

.21 

222.01 

.28 

252.81 

.33 

289.00 

.39 

329.27 

.42 

.44 

197.91 

.21 

222.32 

.28 

253.14 

.34 

289.39 

.38 

329.69 

.42 

.45 

198.  12 

.21 

222.60 

.28 

253.48 

.34 

289.77 

.39 

330.11 

.42 

.46 

I!)*.:):*        .21 

822.88 

.28 

268.82 

.34 

290.16 

.38 

880.68 

.42 

.47 

liis.r.i        .22 

228.16 

£8 

251.  Hi 

.33 

290.54 

J9 

330.95 

.41 

.48 

1II-.76          .21 

223.  1  1 

.28 

254.49 

.:u 

290.93 

.38 

331.36 

.42 

.49 

198.li'         .21 

228.72 

.28 

254.83 

M 

291.31 

.39 

331.78 

.42 

.50 

199.  IN          .22 

224.00 

.28 

255.17 

.34 

291.70 

.39 

88BJM 

.42 

314 


TABLE  CX.    ARGUMENT  1. 


Equation  =  345".58  -f-  186".51  cos  x  -f-  10".  17  cos  2x  -f  0".63  cos  3z  +  0".04  cos 


23 

24 

Equation. 

Dirt. 

23 

26 

Diff. 

27 

Diff 

Days. 

Equation. 

Biff 

Equation. 

Diff. 

Equation. 

Equation. 

d, 

.50 

199.18 

.22 

224.00 

.28 

255.17 

.34 

291.70 

.39 

332.20 

.42 

.51 

199.40 

.21 

224.28 

.28 

255.51 

.34 

292.09 

.39 

332.62 

.42 

.52 

.    199.61 

.22 

224.56 

.29 

255.85 

.35 

292.48 

.39 

333.04 

.42 

.53 

199.83 

.21 

224.85 

.28 

256.20 

.34 

292.87 

.39 

333.46 

.42 

.54 

200.04 

.22 

225.13 

.28 

256.54 

.34 

293.26 

.39 

333.88 

.42 

.55 

200.26 

.22 

22541 

.29 

256.88 

.35 

293.65 

.39 

334.30 

.42 

.56 

200.48 

.22 

225.70 

.28 

257.23 

.34 

294,04 

.39 

334.72 

.42 

.57 

200.70 

.21 

225.98 

.29 

257.57 

.35 

294.43 

.39 

335.14 

.43 

.58 

200.91 

.22 

226.27 

.28 

257.92 

.34 

294.82 

.39 

335.57 

.42 

.59 

201.13 

.22 

226.55 

.29 

258.26 

.35 

295.21 

.39 

335.99 

.42 

.60 

201.35 

.22 

226.84 

.29 

258.61 

.35 

295.60 

.39 

336.41 

.42 

.61 

201.57 

.22 

227.13 

.29 

258.96 

.34 

295.99 

.39 

336.83 

.42 

.62 

201.79 

.23 

227.42 

.29 

259.30 

.35 

296.38 

.40 

337.25 

.43 

.63 

202.02 

.22 

227.71 

.29 

259.65 

.34 

296.78 

.39 

337.68 

.42 

.64 

202.24 

.22 

228.00 

.29 

259.99 

.35 

297.17 

.39 

338.10 

.42 

.65 

?r>2.46 

.23 

228.29 

.29 

260.34 

.35 

297.56 

.39 

338.52 

.42 

.66 

202.69 

.22 

228.58 

.29 

260.69 

.35 

297.95 

.40 

338.94 

.42 

.67 

202.91 

.23 

228.87 

.30 

261.04 

.35 

298.35 

.39 

339.36 

.43 

.68 

203.14 

.22 

229.17 

.29 

261.39 

.35 

298.74 

.40 

339.79 

.42 

.69 

203.36 

.23 

229.46 

.29 

261.74 

.35 

299.14 

.39 

340.21 

.42 

.70 

203.59 

.23 

229.75 

.30 

262.09 

.35 

299.53 

.40 

340.63 

.42 

.71 

203.82 

.23 

230.05 

.29 

262.44 

.35 

299.93 

.40 

341.05 

.43 

.72 

204.05 

.23 

230.34 

.30 

262.79 

.36 

300.33 

.39 

341.48 

.42 

.73 

204.28 

.23 

230.64 

.29 

263.15 

.35 

300.72 

.40 

341.90 

.43 

.74 

204.51 

.23 

230.93 

.30 

263.50 

.35 

301.12 

.40 

342.33 

.42 

.75 

204.74 

.23 

231.23 

.30 

263.85 

.36 

301.52 

.40 

342.75 

.42 

.76 

204.97 

.24 

231.53 

.30 

26421 

.35 

301.92 

.40 

343.17 

.43 

.77 

205.21 

.23 

231.83 

.29 

264.56 

.36 

302.32 

.39 

343.60 

.42 

.78 

205.44 

.24 

232.12 

.30 

264.92 

.35 

302.71 

.40 

344.02 

.43 

.79 

205.68 

.23 

232.42 

.30 

265.27 

.36 

303.  1  1 

.40 

344.45 

.42 

.80 

205.91 

.24 

232.72 

.30 

265.63 

.36 

303.51 

.40 

344.87 

.43 

.81 

206.15 

.23 

233.02 

.30 

265.99 

.35 

303.91 

.40 

345.30 

.42 

.82 

206.38 

24 

233.32 

.31 

266.34 

.36 

304.31 

.40 

345.72 

.43 

.83 

206.62 

.23 

233.63 

.30 

266.70 

.35 

304.71 

.40 

346.15 

.42 

.84 

206.85 

.24 

233.93 

.30 

267.05 

.36 

305.  1  1 

.40 

346.57 

.43 

.85 

207.09 

.24 

234.23 

.30 

267.41 

.36 

305.51 

.40 

347.00 

.43 

.86 

207.33 

.24 

234.53 

.31 

267.77 

.36 

305.91 

.40 

347.43 

.42 

.87 

207.57 

.24 

231.84 

.30 

268.13 

.36 

306.31 

.41 

347.85 

.43 

.88 

207.81 

.24 

235.14 

.31 

268.49 

.36 

306.72 

.40 

348.28 

.42 

.89 

208.05 

.24 

235.45 

.30 

268.85 

.36 

307.12 

.40 

348.70 

.43 

.90 

208.29 

.24 

235.75 

.31 

269.21 

.36 

307.52 

.40 

349.13 

.43 

.91 

208.53 

.25 

236.06 

.31 

269.57 

.36 

307.92 

.40 

349.56 

.43 

.92 

208.78 

.24 

236.37 

.30 

269.93 

.37 

308.32 

.41 

34999 

.42 

.93 

209.02 

.25 

236.67 

.31 

270.30 

.36 

308.73 

.40 

350.41 

.43 

.94 

209.27 

.24 

236.98 

.31 

270.66 

.36 

309.13 

.40 

350.84 

.43 

.95 

209.51 

.25 

237.29 

.31 

• 

271.02 

.37 

309.53 

.41 

351.27 

.43 

.96 

209.76 

.24 

237.60 

.31 

271.39 

.36 

309.94 

.40 

351.70 

.43 

.97 

210.00 

.25 

237.91 

.31 

271.75 

.37 

310.34 

.41 

352.13 

.42 

.98 

210.25 

.24 

238.22 

.31 

272.12 

.36 

310.75 

.40 

352.55 

.43 

.99 

210.49 

.25 

238.53 

.31 

272.48 

.37 

311.15 

.41 

352.98 

.43 

1.00 

210.74 

.25 

238.84 

.31 

272.85 

.37 

311.56 

.41 

35341 

.43 

315 


TABLE  CXI.    ARGUMENT  3. 


Equation  =  29".44  —  0".95  cos  t  +  28".23  cos  2t  +  0  '.26  cos  4t. 


Days 

0 

1 

3 

3 

4 

S 

6 

7 

8 

9 

Days. 

Ikus. 

DavB. 

.00 

58.73 

5733 

50.97 

40.89 

28.95 

17.33 

8.01 

2.53 

l'.75 

5*78 

i.bo 

.01 

58.74 

57.29 

50.89 

40.78 

28.83 

17.22 

7.93 

2.50 

1.77 

5.84 

.99 

.02 

58.75 

57.25 

50.80 

40.66 

28.71 

17.11 

7.86 

2.47 

1.79 

5.91 

.98 

.03 

58.77 

57.20 

50.72 

40.55 

28.58 

17.01 

7.78 

2.43 

1.80 

5.97 

.97 

.04 

58.78 

57.16 

50.63 

40.43 

28.46 

16.90 

7.71 

2.40 

1.82 

6.04 

.96 

.05 

58.79 

5712 

50.55 

40.32 

28.34 

16.79 

7.63 

2.37 

1.84 

6.10 

.95 

.06 

58.80 

57.08 

50.46 

40.20 

28.22 

16.68 

7.56 

2.34 

1.86 

6.17 

.94 

.07 

58.81 

5703 

50.37 

40.09 

28.10 

16.58 

7.49 

2.31 

1.88 

6.23 

.93 

.08 

58.81 

56.99 

50.29 

39.97 

27.98 

16.47 

7.41 

2.29 

1.90 

6.30 

.92 

.09 

58.82 

56.94 

50.20 

39.86 

27.86 

16.37 

7.34 

2.26 

1.92 

6.36 

.91 

.10 

58.83 

56.90 

50.11 

39.74 

27.74 

16.26 

7.27 

2.23 

1.94 

6.43 

.90 

.11 

58.84 

56.85 

50.02 

3962 

27.62 

16.16 

7.20 

220 

1.96 

6.50 

.89 

.12 

58.84 

56.81 

49.93 

39.51 

27.50 

16.05 

7.13 

2.18 

1.99 

6.57 

.88 

.13 

58.85 

5676 

49.84 

39.39 

27.37 

15.95 

7.05 

2.15 

2.01 

6.63 

.87 

.14 

58.85 

56.72 

49.75 

39.28 

27.25 

15.84 

6.98 

2.13 

2.04 

6.70 

.86 

.15 

58.86 

56.67 

49.66 

39.16 

27.13 

15.74 

6.91 

2.10 

2.06 

6.77 

.85 

.16 

58.86 

56.62 

49.57 

39.04 

27.01 

15.64 

6.84 

2.08 

2.08 

6.84 

.84 

.17 

58.87 

5657 

49.48 

38.93 

26.89 

15.53 

6.77 

2.05 

2.11 

6.91 

.83 

.18 

58.87 

56.53 

49.38 

38.81 

26.77 

15.43 

6.71 

2.03 

2.13 

6.98 

.82 

.19 

58.88 

56.48 

49.29 

3870 

26.65 

15.32 

6.64 

2.00 

2.16 

7.05 

.81 

.20 

58.88 

56.43 

49.20 

38.58 

26.53 

15.22 

6.57 

1.98 

2.18 

7.12 

.80 

.21 

58.88 

56.38 

49.11 

38.46 

26.41 

15.12 

6.50 

1.96 

2.21 

7.19 

.79 

.22 

58.88 

56.33 

49.02 

38.34 

26.29 

15.02 

6.43 

1.94 

2.24 

7.26 

.78 

.23 

58.88 

56.27 

48.92 

38.23 

26  17 

14.91 

6.37 

1.92 

2.26 

7.34 

.77 

.24 

58.88 

56.22 

48.83 

38.11 

26.05 

14.81 

6.30 

1.90 

2.29 

7.41 

.76 

.25 

58.88 

56.17 

48.74 

37.99 

25.93 

14.71 

6.23 

1.88 

2.32 

7.48 

.75 

.26 

58.88 

56.12 

48.64 

37.87 

25.81 

14.61 

6.17 

1.86 

2.35 

7.55 

.74 

.27 

58.88 

56.06 

48.55 

37.75 

25.69 

14.51 

6.10 

1.84 

2.38 

7.63 

.73 

.28 

58.87 

56.01 

48.45 

37.64 

25.57 

14.41 

6.04 

1.82 

2.41 

7.70 

.72 

.29 

58.87 

55.95 

48.36 

37.52 

25.45 

14.31 

5.97 

1.80 

2.44 

7.78 

.71 

.30 

58.87 

55.90 

48.26 

37.40 

25.33 

14.21 

5.91 

1.78 

2.47 

7.85 

.70 

.31 

58.87 

55.84 

48.16 

37.28 

25.21 

14.11 

5.85 

1.76 

2.50 

7.93 

.69 

.32 

58.86 

55.79 

48.07 

37.16 

25.09 

14.01 

5.78 

1.75 

2.53 

8.00 

.68 

.33 

56.86 

55.73 

47.97 

37.05 

24.97 

13.91 

5.72 

1.73 

2.57 

8.08 

.67 

.34 

58.85 

55.68 

47.88 

36.93 

24.85 

13.81 

5.65 

1.72 

2.60 

8.15 

.66 

.35 

58.85 

55.62 

47.78 

36.81 

24.73 

13.71 

5.59 

1.70 

2.63 

8.23 

.65 

.36 

58.84 

55.56 

47.68 

36.69 

24.61 

13.61 

5.53 

1.69 

2.67 

8.31 

.64 

.37 

r.8.N:l 

55.50 

47.58 

36.57 

24.50 

13.51 

5.47 

1.67 

2.70 

8.38 

.63 

.38 

5N.H3 

55.45 

47.49 

36.45 

24.38 

13.42 

5.41 

1.66 

2.74 

8.46 

.62 

.39 

5N.N-.2 

55.39 

47.39 

3633 

24.27 

13.32 

5.35 

1.64 

2.77 

8.53 

.61 

.40 

58.81 

55.33 

47.29 

36.21 

24.15 

13.22 

5.29 

.63 

2.81 

8.61 

.60 

.41 

r.s.NO 

55.27 

47.19 

36.08 

2403 

13.12 

5.23 

.62 

2.85 

8.69 

.59 

.42 

B8.79 

55.21 

47.09 

35.97 

23.91 

13.03 

5.17 

.61 

2.88 

8.77 

.58 

.43 

58.78 

55.15 

46.99 

35.86 

28.80 

12.93 

5.12 

.59 

2.92 

8.85 

.57 

.44 

58.77 

55.09 

46.89 

35.74 

23.68 

12.84 

5.06 

.58 

2.95 

8.93 

.56 

.45 

58.76 

55.03 

46.79 

35.62 

23.56 

12.74 

5.00 

.57 

2.99 

9.01 

.55 

.46 

B8.75 

54.97 

46.69 

:{.->..-)() 

28.41 

12.65 

4.94 

.56 

3.03 

9.09 

.54 

.47 

68.78 

MJO 

46.59 

86.86 

23.32 

12.55 

1.S1I 

.r>r> 

3.07 

9.17 

.53 

.48 

5N.72 

r-i  si 

46.49 

86S6 

23.21 

1246 

4.83 

.55 

3.11 

9.26 

.52 

.49 

58.70 

5  1.77 

46.39 

35.14 

23.09 

12.36 

4.78 

..-.i 

3.15 

9.34 

.51 

.;>o 

58.69 

54.71 

46.29 

35.02 

22.97 

12.27 

4.72 

.53 

:!.!!» 

!l.  12 

.50 

Day 

».     39 

38 

37 

36 

3« 

34 

33 

33 

31 

30 

Days. 

316 


TABLE  CXI.    ARGUMENT  3. 


Equation  =  29".44  —  0".95  cos  t  -f  28".23  cos  2t  -f-  0  '.26  cos  4t. 


Days.         Ol              33456               7§9       Days. 

Days. 

fl 

M 

fl 

„ 

„ 

lt 

t 

M 

// 

Days. 

.50 

58.69 

5471 

46.29 

35.02 

22.97 

12.27 

4.72 

1.53 

3.19 

9.42 

.50 

.51 

58.67 

54.65 

46.19 

34.90 

22.85 

12.18 

4.67 

1.52 

3.23 

9.50 

.49 

.52 

58.66 

54.58 

46.09 

34.78 

22.73 

12.08 

4.61 

1.52 

3.27 

9.58 

.48 

.53 

58.64 

54.52 

45.98 

34.65 

22.62 

11.99 

4.56 

1.51 

3.32 

9.67 

.47 

.54 

58.63 

54.45 

45.88 

34.53 

22.50 

11.89 

4.50 

1.51 

3.36 

9.75 

.46 

.55 

58.61 

5439 

45.78 

34.41 

22.38 

11.80 

4.45 

1.50 

3.40 

9.83 

.45 

.56 

58.59 

54.32 

45.68 

34.29 

22.26 

11.71 

4.40 

1.50 

3.44 

9.92 

.44 

.57 

58.57 

5425 

45.57 

34  17 

22.15 

11.62 

4.35 

1.49 

3.49 

10.00 

.43 

.58 

58.56 

51.19 

45.47 

34.05 

22.03 

11.53 

4.29 

1.49 

3.53 

10.09 

.42 

.59 

58.5  1 

54.12 

45.36 

33.93 

21.92 

11.44 

4.24 

1.48 

3.58 

10.17 

.41 

.60 

58.52 

54.05 

45.26 

33.81 

21.80 

11.35 

4.19 

1.48 

3.62 

10.26 

.40 

.61 

58.50 

53.98 

45.15 

3369 

21.69 

11.26 

4.14 

148 

3.67 

10.35 

.39 

.62 

58.48 

53.91  1       45.05 

33.57 

21.57 

11.17 

4.09 

1.48 

3.71 

10.43 

.38 

.63 

58.46 

5384 

44.94 

33.44 

2146 

11.08 

4.04 

1.47 

3.76 

10.52 

.37 

.64 

58.44 

53.77 

44.84 

33.32 

21.34 

10.99 

3.99 

1.47 

3.80 

10.60 

.36 

.65 

58.42 

53.70 

44.73 

33.20 

21.23 

10.90 

3.94 

1.47 

3.85 

10.69 

.35 

.66 

58.40 

53.63 

44.62 

33.08 

21.12 

10.81 

3.89 

1.47 

3.90 

10.78 

.34 

.67 

58.37 

5356 

44.52 

32.96 

21.00 

10.72 

3.84 

1.47 

3.95 

10.87 

.33 

.68 

58.35 

53.48 

44.41 

32.84 

20.89 

10.64 

3.80 

1.47 

3.99 

10.95 

.32 

.69 

58.32 

53.41 

44.31 

3272 

20.77 

10.55 

3.75 

1.47 

4.04 

11.04 

.31 

.70 

58.30 

53.34 

44.20 

32.60 

20.66 

10.46 

3.70 

1.47 

4.09 

11.13 

.30 

.71 

58.27 

53.27 

44.09 

32.48 

20.55 

10.37 

3.65 

1.47 

4.14 

11.22 

.29 

.72 

58.25 

53.19 

43.98 

32.36 

20.43 

10.29 

3.61 

1.48 

4.19 

11.31 

.28 

.73 

58.22 

53.12 

43.88 

32.23 

20.32 

10.20 

3.57 

1.48 

4.25 

11.40 

.27 

.74 

58.20 

53.04 

43.77 

32.11 

20.20 

10.12 

3.52 

1.49 

4.30 

11.49 

.26 

.75 

58.17 

52.97 

43.66 

31.99 

20.09 

10.03 

3.48 

1.49 

4.35 

11.58 

.25 

.76 

58.14 

52.89 

43.55 

31.87 

19.98 

P.95 

344 

1.50 

4.40 

11.67 

.24 

.77 

58.11 

52.82 

43.41 

31.75 

19.87 

986 

3.3!; 

150 

4.45 

11.76 

.23 

.78 

58.09 

52.74 

43.34 

31.62 

19.75 

9.78 

335 

1.51 

4.51 

11.86 

.22 

.79 

58.06 

52.67 

43.23 

31.50 

1964 

9.69 

3.30 

1.51 

4.56 

11.95 

.21 

.80 

58.03 

52.59 

43.12 

31.38 

19.53 

9.61 

3.26 

1.52 

4.61 

12.04 

.20 

.81 

58.00 

52.51 

43.01 

31.26 

19.42 

9.53 

3.22 

1.53 

4.67 

12.13 

.19 

.82 

57.97 

52.43 

4290 

31.14 

19.31 

9.44 

3  18 

1.54 

4.72 

12.22 

.18 

.83 

57.93 

52.36 

42.79 

31.02 

19.19 

9.3S 

3.14 

1.54 

4.78 

12.32 

.17 

.84 

57.90 

52.28 

42.68 

30.90 

19.08 

9.27 

3.10 

1.55 

4.83 

12.41 

.16 

.85 

57.87 

52.20 

42.57 

30.78 

18.97 

9.19 

3.06 

1.56 

4.89 

12.50 

.15 

.86 

57.84 

52.12 

42.46 

30.66 

18.86 

9.11 

3.02 

1.57 

4.95 

12.59 

.14 

.87 

57.80 

52.04 

42.35 

30.54 

18.75 

9.03 

2.98 

1.58 

5.00 

12,69 

.13 

.88 

57.77 

51.96 

42.23 

30.41 

18.64 

8.95 

2.95 

1.59 

5.06 

12.78 

.12 

.89 

57.73 

51.88 

42.12 

3029 

18.53 

8.87 

2.91 

1.60 

5.11 

12.88 

.11 

.90 

57.70 

51.80 

42.01 

30.17 

18.42 

8.79 

2.87 

1.61 

5.17 

12.97 

.10 

.91 

57.66 

51.72 

41.90 

30.05 

18.31 

8.71 

2.84 

1.62 

5.23 

13.07 

.09 

.92 

57.63 

51.64 

41.79 

29.93 

18.20 

8.63 

2.80 

1.63 

5.29 

13.16 

.08 

.93 

57.59 

51.55 

41.67 

29.80 

1809 

8.55 

2.77 

1.65 

5.35 

13.26 

.07 

.94 

57.56 

51.47 

41.56 

29.68 

17.98 

8.47 

2.73 

1.66 

5.41 

13.35 

.06 

.95 

57.52 

51.39 

41.45 

29.56 

17.87 

8.39 

2.70 

1.67 

5.47 

13.45 

.05 

.96 

57.48 

51.31 

41.34 

29.44 

17.76 

8.31 

2.67 

1.69        5.53 

13.55 

.04 

.97 

57.14 

51.22 

41.23 

29.32 

17.65 

8.24 

2.63 

1  .70         5.59 

13.65 

.03 

.98 

57.41 

51.14 

41.11 

29.19 

17.55 

8.16 

2.60 

1.72         5.66 

13.74 

.02 

.99 

57.37 

51.05 

41.00 

29.07 

17.44 

8.09 

2.56 

1.73         5.72 

13.84 

.01 

1.00 

57.33 

50.97 

40.89 

28.95 

17.33 

8.00 

2.53 

1.75         5.78 

13.94 

.00 

Days.     29          38          27          26          25          24          23          22          21          2O    Days. 

317 


TABLES   CXI.   CXII. 


TABLES 
ARGUMENTS 


CXI. 
3. 


CXII. 
9. 


Days.        1O            11             13            13            14         Days. 

Days.               O 

1O 

.00 

13.94 

24.87 

36.65 

47.15 

54.39 

Dais. 

1.00 

Days. 

Equation. 

D.a. 

Kijuation. 

Diff. 

.01 

14.04 

24.99 

36.76 

47.24 

5  1.  1  1 

.99 

Kais 

w 

.02 

14.14 

25.10       36.88 

47.33 

54.49 

.98 

6.0 

33.66 

.68 

66.71 

.27 

.03 

14.24 

25.22       36.99 

47.42 

54.54 

.97 

0.1 

34.34 

.68 

66.41 

.28 

.04 

14.34 

25.33       37.11 

47.51 

54.59 

.96 

0.2 

35.02 

.68 

66.16 

.30 

0.3 

35.70 

.67 

65.86 

.31 

.05 

14.44 

25.45 

37.22 

47.60 

54.64 

.95 

0.4 

36.37 

.68 

65.55 

.32 

.06 

14.54 

25.57 

37.33 

47.69 

54.69 

.94 

.07 

14.64 

25.69 

37.45 

47.78 

54.74 

.93 

0.5 

37.05 

.68 

65.23 

.33 

.08 

14.74 

25.80 

37.56 

47.86 

54.78 

.92 

0.6 

37.73 

.67 

64.90 

.35 

.09 

14.84 

25.92 

37.68 

47.95 

54.83 

.91 

0.7 

38.40 

.68 

64.55 

.35 

0.8 

39.08 

.68 

64.20 

.37 

.10 

14.94 

26.04 

37.79 

48.04 

54.88 

.90 

0.9 

39.76 

-67 

63.83 

.39 

.11 

15.04 

26.16 

37.90 

48.13 

54.92 

.89 

.12 

15.14 

26.28 

38.02 

48.22 

54.97 

.88 

1.0 

40.43 

.67 

63.4  1 

.39 

.13 

15.25 

26.39 

38.13 

48.30 

55.01 

.87 

1.1 

41.10 

.67 

63.05 

.40 

.14 

15.35 

26.51 

38.25 

48.39 

55.06 

.86 

1.2 

41.77 

.66 

62.65 

.41 

1.3 

42.43 

67 

62.24 

.43 

.15 

15.45 

26.63 

38.36 

48.48 

55.10 

.85 

1.4 

43.10 

.66 

61.81 

.44 

.16 

15.55 

26.75 

38.47 

48.57 

55.14 

.84 

.17 

15.65 

26.87 

38.58 

48.65 

55.18 

.83 

1.5 

43.76 

.66 

61.37 

.44 

.18 

15.76 

26-98 

38.70 

48.74 

55.23 

.82 

1.6 

44.42 

.65 

60.93 

.46 

.19 

15.86 

27.10 

38.81 

48.82 

55.27 

.81 

1.7 

45.07 

.65 

60.4-3 

.47 

1.8 

45.72 

.65 

60.00 

.47 

.20 

15.96 

27.22 

38.92 

48.91 

55.31 

.80 

1.9 

,  46.37 

.64 

59.53 

.49 

.21 

16.06 

27.34 

39.03 

48.99 

55.35 

.79 

.22 

16.17 

27.46 

39.14 

49.08 

55.39 

.78 

2.0 

47.01 

.64 

59.04 

.50 

.23 

16.27 

27.57 

39.26 

49.16 

55.43 

.77 

2.1 

47.65 

.63 

58.54 

.50 

.24 

16.38 

27.69 

39.37 

49.25 

55.47 

.76 

2.2 

48.28 

.63 

58.04 

.52 

2.3 

48.91 

.62 

57.52 

.52 

.25 

16.48 

27.81 

39.48 

49.33 

55.51 

.75 

2.4 

49.53 

.62 

57.00 

.53 

.26 

16.59 

27.93 

39.59 

49.41 

55.55 

.74 

.27 

16.69 

28.05 

39.70 

49.49 

55.59 

.73 

2.5 

50.15 

.61 

56.47 

.54 

.28 

16.80 

28.16 

39.81 

49.58 

55.62 

.72 

2.6 

50.76 

.60 

55.93 

.55 

.29 

16.90 

28.28 

39.92 

49.66 

55.66 

.71 

2.7 

51.36 

.60 

55.38 

.56 

2.8 

51.96 

.60 

5  1.S2 

.56 

.30 

17.01 

28.40 

40.03 

49.74 

55.70 

.70 

2.9 

52.56 

.58 

5  1.26 

.57 

.31 

17.12 

28.52 

40.14 

49.82 

55.74 

.69 

.32 

17.22 

28.64 

40.25 

49.90 

55.77 

.68 

3.0 

53.14 

.58 

53.69 

.58 

M 

17.33 

28.76 

40.36 

49.98 

55.81 

.67 

3.1 

53.72 

.57 

5.'}.  1  1 

.59 

.34 

17.43 

28.88 

40.47 

50.06 

55.84 

.66 

3.2 

54.29 

.57 

52.52 

.59 

3.3 

54.86 

.55 

51.93 

.60 

.35 

17.54 

29.00 

40.58 

50.14 

55.88 

.65 

3.4 

55.41 

.55 

51.33 

.61 

.36 

17.65 

29.12 

40.69 

50.22 

55.91 

.64 

.37 

17.76 

29.24 

40.80 

50.30 

55.94 

.63 

3.5 

55.96 

.54 

50.72 

.61 

.38 

17.86 

29.35 

40.90 

50.37 

55.98 

.62 

3.6 

56.50 

.53 

50.  1  1 

.62 

.39 

17.97 

29.47 

41.01 

50.45 

56.01 

.61 

3.7 

57.03 

.52 

49.49 

.62 

• 

3.N 

57.55 

.52 

•18.87 

.63 

.40 

18.08 

29.59 

41.12 

50.53 

56.04 

.60 

3.9 

58.07 

.50 

48.24 

.63 

.41 

18.1!) 

29.71 

41.23 

50.61 

56.07 

.59 

.42 

18.30 

29.83 

41.34 

50.68 

56.10 

.58 

4.0 

58.57 

.50 

47.61 

.64 

.43 

18.40 

29.95 

41.44 

50.7< 

56.13 

.57 

4.1 

59.07 

.48 

46.97 

.64 

.11 

1  *..-,! 

30.07 

41.55 

50.83 

56.16 

.56 

4.2 

59.58 

.48 

46.33 

.66 

4.3 

(iO.()3 

.47 

45.68 

.65 

.45 

18.62 

30.19 

11.  <;< 

50.91 

56.19 

.55 

4.4 

60.50 

.45 

45.03 

.65 

.46 

|s.-:t 

;{<).:{  1 

41.77 

50.98 

5(i.22 

.54 

.47 

Is  s| 

80.49 

4I.N7 

5  1  .Of 

5fi.2  t 

.53 

4.5 

6o.se 

.45 

44.3? 

.66 

.48 

18.9! 

:t().:,  i 

41.90 

5L18 

56.2< 

.52 

4.6 

lil.N 

.43 

13.72 

.66 

.19 

19.01 

90M 

12.0s 

51.21 

56.21 

.51 

1.7 

81.88 

.43 

43.06 

.67 

.50 

19.17       30.78        12.  1! 

51.2* 

56.32 

.50 

4.8 

62.26 

.41 

48.8J 

.66 

4.9 

62.67 

.41 

41.73 

.67 

Days.       19           18            ir           16           IS         Days. 

5.0 

63.08 

.39 

41.06 

.67 

318 


TABLES   CXI.   CXII. 


TABLES 

ARGUMENTS 


CXI. 
3. 


CXII. 


Days.        1O            111-3            13            14         Days. 

Days.                O 

1O 

Days. 

Days. 

.50 

fL    I 

19.17 

1  Q  *>G 

30.78 

on  on 

42.19 

A  O  *if\ 

51.28 

EI  or^ 

56.32 

e  /;  oe 

.50 

An 

Days. 

Equation. 

D:ff. 

Equation. 

Diff. 

.01 

jy.4o 

oU.yu 

42.  ou 

51.OO 

Ob.  .io 

.4y 

Days. 

( 

.. 

.52 

19.39 

31.02 

42.40 

51.42 

56.37 

.48 

5.0 

63.08 

.39 

41.06 

.67 

.53 

19.50 

31.13 

42.51 

51.50 

56.40 

.47 

5.1 

63.47 

.38 

40.39 

.68 

.54 

19.61 

31.25 

42.61 

51.57 

56.42 

.46 

5.2 

63.85 

.37 

39.71 

.67 

5.3 

64.22 

.35 

39.04 

.68 

.55 

19.72 

31.37 

42.72 

51.64 

56.45 

.45 

5.4 

64.57 

.35 

38.36 

.67 

.56 

19.83 

31.49 

42.82 

51.71 

56.47 

.44 

.57 

19.94 

31.61 

42.93 

51.78 

56.49 

.43 

5.5 

64.92 

.33 

37.69 

.68 

.58 

20.05 

31.73 

43.03 

51.85 

56.52 

.42 

5.6 

•  65.25 

.32 

37.01 

.68 

.59 

20.16 

31.85 

43.14 

51.92 

56.54 

.41 

5.7 

65.57 

.31 

36.33 

.67 

5.8 

65.88 

.30 

35.66 

.68 

.60 

20.27 

31.97 

43.24 

51.99 

56.56 

.40 

5.9 

66.18 

.28 

34.98 

.68 

.61 

20.38 

32.09 

43.34 

52.06 

56.58 

.39 

.62 

20.50 

32.21 

43.44 

52.13 

56.60 

.38 

6.0 

66.46 

.27 

34.30 

.68 

.63 

20.61 

32.32 

43.55 

52.19 

56.62 

.37 

6.1 

66.73 

.27 

33.62 

.67 

.64 

20.73 

32.44 

43.65 

52.26 

56.64 

.36 

6.2 

67.00 

.23 

32.95 

.68 

6.3 

67.23 

23 

32.27 

.67 

.65 

20.84 

32.56 

43.75 

52.33 

56.66 

.35 

6.4 

67.46 

.22 

31.60 

.68 

.66 

20.95 

32.68 

43.85 

52.40 

56.68 

.34 

.67 

21.06 

32.80 

43.95 

52.46 

56.69 

.33 

6.5 

67.68 

.21 

30.92 

.67 

.68 

21.18 

32.91 

44.06 

52.53 

56.71 

.32 

6.6 

67.89 

.19 

30.25 

.66 

.69 

21.29 

33.03 

44.16 

52.59 

56.72 

.31 

6.7 

68.08 

.18 

29.59 

.67 

6.8 

68.26 

.16 

28.92 

.66 

.70 

21.40 

33.15 

44.26 

52.66 

56.74 

.30 

6.9 

68.42 

.16 

28.26 

.66 

.71 

21.51 

33.27 

44.36 

52.72 

56.75 

.29 

.72 

21.63 

33.39 

44.46 

52.79 

56.77 

.28 

7.0 

68.58 

.14 

27.60 

.66 

.73 

21.74 

33.50 

44.56 

52.85 

56.78 

.27 

7.1 

68.72 

.12 

26.94 

.65 

.74 

21.86 

33.62 

44.66 

52.92 

56.80 

.26 

7.2 

68.84 

.11 

26.29 

.66 

7.3 

68.95 

.10 

25.63 

.64 

.75 

21.97 

33.74 

44.76 

52.98 

56.81 

.25 

7.4 

69.05 

.08 

24.99 

.64 

.76 

22.09 

33.86 

44.86 

53.04 

56.82 

.24 

.77 

22.20 

33.97 

41.96 

53.10 

56.83 

.23 

7.5 

69.13 

.07 

24.35 

.64 

.78 

22.32 

34.09 

45.05 

53.16 

56.85 

.22 

7.6 

69.20 

.06 

23.71 

.63 

.79 

22,43 

34.20 

45.15 

53.22 

56.86 

.21 

7.7 

69.26 

.04 

23.08 

.63 

7.8 

69.30 

.03 

22.45 

.62 

.80 

22.55 

34.32 

45.25 

53.28 

56.87 

.20 

7.9 

69.33 

.01 

21.83 

.62 

.81 

22.66 

34.44 

45.35 

53.34 

56.88 

.19 

.82 

22.78 

34.56 

45.45 

53.40 

56.89 

.18 

8.0 

6°31 

.00 

21.21 

.61 

.83 

22.89 

34.67 

45.54 

55.46 

5S.90 

.17 

8.1 

69.;!4 

.02 

20.60 

.61 

.84 

23.01 

34.79 

45.64 

53.52 

56.91 

.16 

8.2 

69.32 

.03 

19.99 

.60 

8.3 

69.29 

.04 

19.39 

.59 

.85 

23.12 

34.91 

45.74 

53.58 

56.92 

.15 

8.4 

69.25 

.05 

18.80 

.59 

.86 

23.24 

35.03 

45.84 

53.64 

56.93 

.14 

.87 

23.35 

35.14 

45.93 

53.69 

56.93 

.13 

8.5 

69.20 

.08 

18.21 

.58 

.88 

23.47 

35.26 

46.03 

53.75 

/56.94 

.12 

8.6 

69.12 

.08 

17.63 

.58 

.89 

23.58 

35.37 

46.12 

53.80 

56.94 

.11 

8.7 

69.04 

.10 

17.05 

.56 

8.8 

68.94 

.11 

16.49 

.56 

.90 

23.70 

35.49 

46.22 

53.86 

56.95 

.10 

8.9 

68.83 

.12 

15.93 

.55 

.91 

23.82 

35.61 

46.31 

53.91 

56.95 

.09 

.92 

23.93 

35.72 

46.41 

53.97 

56.96 

.08 

9.0 

68.71 

.14 

15.38 

.55 

.93 

24.05 

35.84 

46.50 

54.02 

56.96 

.07 

9.1 

68.57 

.15 

14.83 

.53 

.94 

24.16 

35.95 

46.60 

54.08 

56.97 

.06 

9.2 

68.42 

.17 

14.30 

.53 

9.3 

68\25 

.18 

13.77 

.52 

.95 

24.28 

36.07 

46.69 

54.13 

56.97 

.05 

9.4 

68.07 

.19 

13.25 

.52 

.96 

24.40 

36.19 

46.78 

54.18 

56.97 

.04 

* 

.97 

24.52 

36.30 

46.87 

54.23 

56.97 

.03 

9.5 

67.88 

.21 

12.73 

.50 

.98 

24.63 

36.42 

46.97 

54.29 

56.98 

.02 

9.6 

67.67 

.22 

12.23 

.49 

.99 

24.75 

36.53 

47.06 

54.34 

56.98 

.01 

9.7 

67.45 

.23 

11.74 

.49 

1.00 

24.87 

36.65 

47.15 

54.39 

56.98 

.00    ' 

9.8 

67.22 

.25 

11.25 

.48 

9.9 

66.97 

.26 

10.77 

.46 

Days.       19          18           IT           16          15        Days. 

10.0 

66.71 

.27 

10.31 

.46 

319 


TABLES   CXII.-CXV. 


TABLES 
ARGUMENTS 


CXII. 
2. 


CXIII. 
6. 


CXIV. 

r. 


cxv. 

8. 


Days 

9 

O 

3 

0 

Days 

O 

10 

30 

30 

O 

O 

1O 

Days. 

Equation. 

D;er. 

Equation. 

Diff. 

0.0 

1.30 

2.89 

0.94 

0.25 

2.70 

f.68 

6.52 

Days 

0.0 
0.1 
0.2 
0.3 

10.31 
9.85 
9.40 
8.96 

.46 
.45 
.44 
.42 

21.79 
•2-2.  1  1 
23.04 
23.67 

.62 
.63 
.63 
.64 

0.1 
0.2 
0.3 
0.4 

1.33 
1.35 
1.38 
1.40 

2.88 
2.88 
2.87 
2.87 

0.9-2 
0.89 
O.H7 
0.84 

0.27 
0.28 
0.30 
0.31 

2.91 
3.11 
3-31 
3.51 

1.76 
1.81 
1.91 
1.99 

0.47 
0,1-2 
0.38 
0.33 

0.4 

8-54 

.42 

24.31 

.64 

0.5 

1.43 

2.86 

0.82 

0.33 

3.71 

2.07 

0.28 

0.5 

8.12 

.41 

21.95 

.65 

0.6 

1.46 

2.85 

O.HO 

0.35 

3.90 

2.15 

0.24 

0.6 
0.7 

7.71 
7.31 

.40 

.38 

25.60 
26.25 

.65 
.65 

0.7 

0.8 

1.48 
1.51 

2.85 
2.84 

0.77 
0.75 

0.36 
0.38 

4.09 

4.28  ' 

2.23 

•2.30 

0.21 
0.17 

08 

6.93 

.38 

26.90 

.66 

0.9 

1.53 

2.84 

0.72 

0.39 

4.47 

2.38 

0.14 

0.9 

6.55 

.36 

27.56 

.66 

1.0 

1.56 

2.83 

0.70 

0.41 

4.65 

2.46 

0.11 

.0 

6.19 

.36 

28.22 

.66 

1.1 

1.69 

2.82 

0.68 

0.43 

4.82 

2.53 

0.09 

.1 

5.83 

.34 

28.88 

.67 

1.2 

1.61 

2.81 

0.66 

0.45 

4.98 

2.61 

0.07 

.2 

5.49 

.33 

29.55 

.67 

1.3 

1.64 

2.81 

0.64 

0.47 

5.14 

2.68 

0-05 

.3 

5.16 

.32 

30.22 

.67 

1.4 

1.66 

•2.M) 

0.62 

0.49 

5.28 

2.75 

0.03 

.4 

4.84 

.31 

30.89 

.67 

.5 

1.69 

2.79 

0.60 

0.51 

5.42 

2.82 

0.02 

.5 

4.53 

.30 

31.56 

.67 

.6 

1.72 

•  2.78 

0.58 

0.53 

5.55 

2.89 

0.01 

.6 

4.23 

.29 

32.23 

.68 

.7 

1.74 

2.77 

0.56 

0.55 

5.67 

2.95 

0.01 

1.7 

3.94 

.27 

32.91 

.67 

.8 

1.77 

2.75 

0.53 

0.57 

5.77 

3.02 

0.00 

1.8 

3.67 

.27 

33.58 

.68 

.9 

1.79 

2.74 

0.51 

0.59 

5.87 

3.08 

0.00 

1.9 

3.40 

.25 

34.26 

.68 

2.0 

1.82 

2.73 

0.49 

0.61 

5.95 

3.14 

0.00 

2.0 
2.1 

3.15 
2.92 

.23 
.23 

34.94 
35.61 

.67 

.68 

2.1 
2.2 

1.84 
1.87 

2.72 
2.70 

0.47 
0.45 

0.63 
0.65 

6.02 
6.08 

3.20 
3.26 

0.01 
0.02 

2.2 

2.69 

.22 

36.29 

.68 

2.3 

1.89 

2.69 

0.44 

0.68 

6.12 

3.31 

0.03 

2.3 

2.47 

.20 

36.97 

.68 

2.4 

1.92 

2.67 

0.42 

0.70 

6.15 

3.37 

0.05 

2.4 

2.27 

.19 

37.65 

.67 

2.5 

2.6 
2.7 
2.8 
2.9 

2.08 
1.91 
.74 
.59 
.45 

.17 
.17 
.15 
.14 
.13 

38.32 
39.00 
39.67 
40.35 
41.02 

.68 
.67 
.68 
.67 
.67 

2.5 

2.6 
2.7 

2.8 
2.9 

1.94 
1.96 
1.99 
2.01 
2.04 

2.66 
2.65 
2.63 
2.62 
2.60 

0.40 
0.38 
0.36 
0.35 
0.33 

0.72 
0.74 
0.77 
0.79 
0.82 

6.17 
6.18 
6.17 
6.15 
6.12 

3.42 
3.16 

3.55 
3.59 

0.07 
0.10 
0.12 
0.15 
0.18 

3.0 

.32 

.12 

41.69 

.66 

3.0 

2.06 

2.59 

0.31 

0.84 

6.07 

3.63 

0.21 

3.1 

.20 

.10 

42.35 

.67 

3.1 

2.08 

2.57 

0.30 

0.86 

6.01 

:uid 

0.25 

3.2 

.10 

.09 

43.02 

.66 

3.2 

2.11 

2.55 

0/28 

0.89 

5.94 

3.<><) 

0.29 

3.3 

.01 

.07 

43.68 

.66 

3.3 

2.13 

2..")  1 

0/27 

0.91 

5.86 

8.72 

0.33 

3.4 

0.94 

.07 

44.34 

.65 

3.4 

2.16 

2.52 

0/25 

0.94 

5.76 

:i.7i 

0.38 

3.5 

0.87 

.05 

44.99 

.65 

3.5 

2.18 

2.50 

0.24 

0.96 

5.66 

8.77 

0.42 

:{.() 

0.82 

.04 

45.64 

.65 

3.6 

2.20 

•2.18 

0.23 

0.98 

5.5  1 

8.79 

0.47 

3.7 

0.78 

.02 

46.29 

.64 

:t.7 

•2.  '2  '2 

•2.  l(i 

0.21 

1.01 

5.41 

3.N  1 

0.53 

BJ 

0.76 

.02 

46.93 

.H  1 

3.s 

2/2  1 

•2.11 

0/20 

1J08 

5.97 

8-82 

0.59 

3.9 

0.74 

.00 

47.57 

.63 

3.9 

2/2<> 

2.4-2 

0.18 

1.06 

5.12 

848 

0.64 

4.0 

0.74 

.01 

48.20 

.63 

4.0 

2.28 

2.40 

0.17 

.08 

1.1)7 

8.84 

0.70 

4.1 

0.75 

.03 

l-vs:i 

.63 

4.1 

•2.30 

2.38 

0.16 

.11 

I.MI 

3.84 

0.76 

u 

0.7s 

.01 

111.  Hi 

.61 

4.2 

B.82 

2.36 

0.15 

.18 

4.63 

3.K1 

0.82 

1.3 

0.82 

.05 

BOOT 

.61 

4.3 

2.34 

0.13 

.16 

449 

8.88 

0.89 

1.1 

O.H7 

.06 

Iftfg 

.61 

4.4 

2.37 

•2.32 

0.12 

.18 

1/27 

3.83 

0.95 

4.5 
L6 

0.93 
1.01 

.(is 
.0!) 

51.  -2!) 
BL89 

.60 

4.5 

2.39 

2.30 

0.11 

1.21 

4.08 

3.82 

1.02 

4.7 

1.10 

.10 

.."IN 

4.6 

2.41 

•2.2N 

0.10 

1/24 

9,89 

3.N  1 

1.09 

IS 
L9 

5.0 

1.20 
1.31 

1.11 

.11 
.13 
.14 

53.06 

r.:u;  i 
5491 

.58 
.57 
.57 

4.7 
4.8 
l.H 
5.0 

•2.  13 
2.45 
2.47 

•2.  1!) 

•2.'2(i 
2/2  1 
2/2-2 
2.20 

0.09 
0.09 
0.08 
0.07 

1.26 

1.29 
1.31 
1.34 

3.69 
3.49 
3.29 
3.09 

3.79 
3.77 
:{.7r. 
3.73 

1.16 
1.24 
1.31 
1.38 

320 


TABLES   CXII.-CXV. 


TABLES 

ARGUMENTS 


CXII. 
3. 


CXIII. 
6. 


CXIV. 

». 


cxv. 

8. 


Days.              2O 

3O 

Days.     O         1O        2O         3O 

O 

O        1O 

Days. 

Equation. 

vs. 

Equation. 

Diff. 

Davs. 

5.0 

2.49 

2.20 

0.07 

1.34 

3.09 

3.73 

1.38 

l)a\s 

,( 

H 

5.1 

2.51 

2.18 

0.06 

1.37 

2.89 

3.70 

1.46 

5.0 

1.44 

.14 

51.21 

.57 

5.2 

2.52 

2.15 

0.06 

1.39 

2.69 

3.67 

1.54 

5.1 

1.58 

.15 

54.78 

.56 

5.3 

2.54 

2.13 

0.05 

1.42 

2.49 

3.63 

1.61 

5.2 

1.73 

.17 

55.34 

.55 

3.4 

2.55 

2.10 

0.05 

1.44 

2.29 

3.60 

1.69 

5.3 

1.90 

.17 

55.89 

.54 

5.4 

2.07 

.19 

56.43 

.54 

5.5 

2.57 

2.08 

0.04 

1.47 

2.10 

3.56 

1.77 

5.5 
5.6 

5.7 

5.8 

2.26 
2.46 
2.68 
2.90 

.20 
.22 
.22 
.24 

56.97 
57.50 
58.02 

58.52 

.53 
.52 
.50 
.49 

5.6 
5.7 
5.8 
5.9 

2.58 
2.60 
2.62 
2.63 

2.06 
2.03 
2.01 
1.98 

0.03 
0.03 
0.02 
0.02 

1.50 
1.52 
1.55 
1.57 

1.91 
1.73 
1.55 
1.38 

3.51 
3.47 
3.42 
3.37 

1.85 
1.93 
2.00 
2.08 

• 

5.9 

3.14 

.25 

59.01 

.48 

6.0 

2.65 

1.96 

0.01 

1.60 

1.21 

3.32 

2.16 

6.0 

3.39 

.26 

59.49 

.47 

6.1 

2.66 

1.94 

0.01 

1.63 

1.06 

3.26 

2.24 

6.1 

3.65 

.27 

59.96 

.47 

6.2 

2.68 

1.91 

0.01 

1.65 

0.91 

3.20 

2.31 

6.2 

3.92 

.29 

60.43 

.46 

6.3 

2.69 

1.89 

0.00 

1.68 

0.77 

3.14 

2.39 

6.3 

4.21 

.30 

60.89 

.45 

6.4 

2.71 

1.86 

0.00 

1.70 

0.64 

3.08 

2.46 

6.4 

4.51 

.31 

61.34 

.44 

6.5 

2.72 

1.84 

0.00 

1.73 

0.52 

3.02 

2.54 

6.5 

4.82 

.32 

61.78 

.43 

6.6 

2.73 

1.81 

0.00 

1.76 

0.42 

2.95 

2.61 

6.6 

5.14 

.33 

62.21 

.42 

6.7 

2.74 

1.79 

0.00 

1.78 

0.32 

2.89 

2.69 

6.7 

5.47 

.34 

62.63 

.41 

6.8 

2.76 

1.76 

0-00 

1.81 

0.24 

2.82 

2.76 

6.8 

5.81 

.35 

63.04 

.39 

6.9 

2.77 

1.74 

0.00 

1.83 

0.17 

2.75 

2.83 

6.9 

6.16 

.37 

63.43 

.38 

7.0 

2.78 

1.71 

0.00 

1.86 

0.11 

2.68 

2.90 

7.0 

6.53 

.37 

63.81 

.37 

7.1 

2.79 

1.68 

0.00 

1.88 

0.06 

2.61 

2.96 

7.1 

6.90 

.39 

64.18 

.36 

7.2 

2.80 

1.66 

0.00 

1.91 

0.03 

2.53 

3.03 

7.2 

7.29 

.40 

64.54 

.34 

7.3 

2.81 

1.63 

0.01 

1.93 

0.01 

2.46 

3.09 

7.3 

7.69 

.40 

64.88 

.33 

7.4 

2.82 

1.61 

0.01 

1.96 

0.00 

2.38 

3.15 

7.4 

8.09 

.42 

65.21 

.32 

7.5 
7.6 

7.7 
7.8 
7.9 

8.51 
8.94 
9.38 
9.82 
10.28 

.43 
.44 
.44 
.46 
.47 

65.53 
65.84 
66.14 
66.43 
66.71 

.31 
.30 
.29 

.28 
.26 

7.5 
7.6 
7.7 
7.8 
7.9 

2.83 

2.84 
2.84 
2.85 
2.85 

1.58 
1.55 
1.53 
1.50 
1.48 

0.01 
0.02 
0.02 
0.03 
0.03 

1.98 
2.01 
2.03 
2.05 
2.08 

0.01 
0.03 
•  0.06 
0.10 
0.16 

2.31 
2.23 
2.15 
2.08 
2.00 

3.21 
3.26 
3.32 
3.37 
3.42 

8.0 

10.75 

.47 

66.97 

.25 

8.0 

2.86 

1.45 

0.04 

2.10 

0.23 

1.92 

3.47 

8.1 

11.22 

.49 

67.2-2 

.23 

8.1 

2.86 

1.42 

0.05 

2.12 

0.31 

1.84 

3.51 

8.2 

11.71 

.49 

67.45 

.22 

8.2 

2.87 

1.40 

0.05 

2.14 

0.41 

1.76 

3.55 

8.3 

12.20 

.50 

67.67 

.20 

8.3 

2.87 

1.37 

0.06 

2.17 

0.51 

1.69 

3.59 

8.4 

12.70 

.51 

67.87 

.19 

8.4 

2.88 

1.35 

0.06 

2.19 

0.63 

1.61 

3.63 

8.5 

13.21 

.52 

68.06 

.18 

8.5 

2.88 

1.32 

0.07 

2.21 

0.76 

1.53 

3.67 

8.6 

13.73 

.53 

68.24 

.17 

8.6 

2.88 

1.29 

0.08 

2.23 

0.90 

1.45 

3.70 

8.7 

14.26       .54 

68.41 

.15 

8.7 

2.89 

1.27 

0.09 

2.25 

1.04 

1.38 

3.73 

8.8 

U.80 

.54 

68.56 

.14 

8.8 

2.89 

1.24 

0.10 

2.27 

1.20 

1.30 

3.75 

8.9 

15.31 

.56 

68.70 

.13 

8.9 

2.90 

1.22 

0.11 

2.29 

1.36 

1.23 

3.77 

9.0 

15-.90 

.56 

68.83 

.11 

9.0 

2.90 

1.19 

0.12 

2.31 

1.53 

1.16 

3.79 

9.1 

16.46 

.56 

68.94 

.10 

9.1 

2.90 

.    1.16 

0.13 

2.33 

1.71 

1.09 

3.81 

9.2 

17.02 

.58 

69.04 

.08 

9.2 

2.90 

1.14 

0.14 

2.35 

1.90 

1.02 

3.82 

9.3 

17.60 

.58 

69.12 

.07 

9.3 

2.90 

1.11 

0.15 

2.37 

2.09 

0.96 

3.83 

9.4 

18.18 

.58 

69.19 

.06 

9.4 

2.90 

1.09 

0.17 

2.39 

2.28 

0.89 

3.84 

9.5 
9.6 
9.7 
9.8 
9.9 
10.0 

18.76 
19.36 
19.90 
20.56 
21.17 
21.79 

.60 
.60 
.60 
.61 
.62 
.62 

69.25 
69.29 
69.32 
69.34 
69.31 
69.34 

.04 
.03 
.02 
.00 
.00 
.00 

9.5 
9.6 
9.7 
9.8 
9.9 
10.0 

2.90 
2.90 
2.90 

2.89 
2.89 
2.89 

1.06 
1.04 
1.01 
0.99 
0.96 
0.94 

0.18 
0.19 
0.21 
0.22 
0.24 
0.25 

2.41 
2.43 
2.45 
2.47 
2.49 
2.51 

2.47 
2.67 
2.87 
3.07 
3.27 
3.48 

0.82 
0.76 
0.70 
0.64 
0.58 
0.5-2 

3.84 
3.84 
3.83 
3.83 
3.82 
3.81 

321 


TABLES  CXVI.-CXIX. 


TABLES 
ARGUMENTS 


CXVI. 
9. 


cxvn. 

10. 


cxvm. 
11. 


CXIX. 
13. 


Days.        O         1O        2O 

O        1O        20 

O         10        2O 

O 

Day.. 

0.0 

1.14 

2.16 

0.15 

099 

6.31 

1.89 

6.80       6.14 

1.41 

6.26 

0.1 

1.16 

2.15 

0.14 

0.97 

0.33 

1.89 

0.78       0.15 

1.41 

0.29 

0.2 

1.19 

2.14      0.13 

0.95 

0.35 

1.88 

0.77       0.16 

1.41 

0.32 

0.3 

1.21 

2.121     0.12 

092       0.36 

1.88 

0.75       0.17 

1.42 

0.35 

0.4 

1.24 

2.11 

0.11 

0.90 

0.38 

1.87 

0.74 

0.18 

1.42' 

0.39 

0.5 

1.26 

2.10 

0.10 

0.88 

0.40 

1.87 

0.72 

0.19 

1.42 

0.42 

0.6 

1.28 

2.08 

0.09 

0.86 

0.42 

1.86 

0.70       0.20 

1.42 

0.46 

0.7 

1.31 

2.07 

0.08 

0.83 

0.44 

1.85 

0.69 

0.21 

1.42 

0.50 

0.8 

1.88 

2.06 

0.07 

0.81 

046 

1.85 

0.67 

0.23       1.42 

0.54 

0.9 

1.36 

2.04 

0.06 

0.78 

0.48 

1.84 

0.66 

0.24 

1.42 

0.58 

1.0 

1.38 

2.03 

0.05 

0.76 

0.50 

1.83 

0.64 

0.25 

1.42 

0.62 

1.1 

1.40 

2.01 

0.04 

0.74 

0.52 

1.82 

0.62 

0.26 

1.42 

0.66 

1.2 

1.43 

1.99 

0.04 

0.72 

0.54 

1.81 

0.61 

0.28 

1.42 

0.70 

1.3 

1.45 

1.98 

0.03 

0.69 

057 

1.80 

0.59 

0.29 

1.41 

0.73 

1.4 

1.48 

1.96 

0.03 

0.67 

0.59 

1.79 

0.58 

0.31 

1.41 

0.77 

1.5 

1.50 

1.94 

0.02 

0.65 

0.61 

1.78 

0.56 

0.32 

1.41 

0.80 

1.6 

1.52 

1.92 

0.02 

0.63 

0.63 

1.77 

0.54 

0.-33 

1.41 

0.83 

1.7 

1.54 

1.90 

0.02 

0.61 

0.65 

1.75 

0.53 

0:35 

1.40 

0.87 

1.8 

1.57 

1.89 

0.01 

0.58 

0.68 

1.74 

0.51 

0.36 

1.40 

0.90 

1.9 

1.59 

1.87 

0.01 

0.56 

0.70 

1.72 

0.50 

0.38 

1.39 

0.93 

2.0 

1.61 

1.85 

0.01 

0.54 

0.72 

1.71 

0.48 

0.39 

1.39 

0.96 

2.1 

1.63 

1.83 

0.00 

0.52 

0.74 

1.70 

0.46 

0.41 

1.38 

0.99 

2.2 

1.65 

1.81 

0.00 

0.50 

0.76 

1.68 

0.45 

0.42 

1.38 

1.02 

2.3 

1.68 

1.78 

0.00 

0.48 

0.79 

1.67 

0.43 

0.44 

1.37 

1.04 

2.4 

1.70 

1.76 

0.00 

0.46 

0.81 

1.65 

0.42 

0.45 

1.37 

1.07 

2.5 

1.72 

1.74 

0.00 

0.44 

0.83 

1.64 

0.40 

0.47 

1.36 

1.09 

2.6 

1.74 

1.72 

0.00 

0.42 

0.85 

1.62 

0.39 

0.49 

1.35 

1.11 

2.7 

1.76 

1.70 

0.00 

0.40 

0.88 

1.60 

0.37 

0.50 

1.34 

1.12 

2.8 

1.79 

1.67 

0.01 

0.39 

0.90 

1.59 

0.36 

0.52 

1.34 

1.14 

2.9 

1.81 

1.65 

0.01 

0.37 

0.93 

1.57 

0.34 

0.53 

1.33 

1.15 

3.0 

1.83 

1.63 

0.01 

0.35 

0.95 

1.55 

0.33 

0.55 

1.32 

1.17 

3.1 

1.85 

1.61 

0.01 

0.33 

0.97 

1.53 

0.32 

057 

1.31 

1.18 

3.2 

1.87 

1.59 

0.02 

0.31 

1.00 

1.51 

0.30 

0.58 

1.30 

1.19 

3.3 

1.88 

1.56 

002 

0.30 

1.02 

1.50 

0.29 

0.60 

1.29 

1.19 

3.4 

1.90 

1.54 

0.03 

0.28 

1.05 

1.48 

0.27 

0.61 

1.28 

1.20 

3.5 

1.92 

1.52 

0.03 

026 

1.07 

1.46 

0.26 

0.63 

1.27 

1.20 

3.6 

1.91 

1.50 

0.04 

0.25 

1.09 

1.44 

0.25 

0.65 

1.26 

1.20 

3.7 

1.96 

1.47 

0.04 

0.23 

1.11 

1.42 

0.24 

0.66 

1.25 

1.19 

3.8 

1.97 

1.45 

0.05 

0.22 

1.14 

1.40 

0.22 

0.68 

1.24 

1.19 

3.9 

1.99 

1.42 

0.05 

0.20 

1.16 

1.38 

0.21 

0.69 

1.23 

1.18 

4.0 

2.01 

1.40 

006 

0.19 

1.18 

1.36 

0.20 

0.71 

1.22 

1.17 

4.1 

2.0:{        1  ..'(N 

0.07 

0.18 

1.20 

1.34 

0.19 

0.73 

1.21 

1.15 

4.2 

2.01 

1.35 

0.08 

0.16 

1.22 

1.32 

0.18 

0.74 

1.20 

1.14 

4.3 

2.06 

L88 

0.09 

0.15 

1.25 

1.29 

0.17 

0.76 

1.18 

1.12 

4.4 

2.07 

1.30 

0.10 

0.13 

1.27 

1.27 

0.16 

0.77 

1.17 

1.10 

4.5 

2.09 

1.28 

0.11 

0.12 

1.29 

1.25 

0.15 

0.79 

1.16 

1.08 

4.6 

2.10 

1.26 

0.12 

0.11 

1.31 

1.23 

0.14 

0.81 

1.15 

1.05 

4.7 

2.12        1.23 

0.13 

0.10 

1.33 

1.21 

0.13 

0.82 

1.13 

1.03 

4.8 

2.13       1.21 

0.14 

0.09 

1.36 

1.18 

0.12 

0.84 

1.12 

1.00 

4.9 

2.15       1.18 

0.15 

0.08 

1.38 

1.16 

0.11 

0.85 

1.10 

0.98 

5.0 

2.1fi        1.16 

0.16 

0.07 

1.40 

1.14 

0.10 

0.87 

1.09 

0.95 

322 


TABLES  CXVI.-CXIX. 


TABLES 

ARGUMENTS 


CXVI. 
9. 


CXVII. 
10. 


cxvm. 
11. 


CXIX. 
13. 


Days.         O         1O         90 

o      10     20 

o      10     20 

O 

Days 

5.0 

2.16 

1.16 

0.16 

007 

1.40 

1.14 

0.10       0.87 

109 

6.95 

5.1 

2.17 

1.14 

0.17 

0.06       1.42 

1.12 

0.09       0.89 

1.08 

0.92 

5.2 

2.18 

1.11 

0.19 

0.05 

1.44 

1.09 

0.08       0.90 

1.06 

0.88 

5.3 

2.19 

1.09 

0.20 

0.05 

1.46 

1.07 

0.08       0.92 

1.05 

0.85 

5.4 

2.20 

1.06 

0.22 

0.04 

1.48 

1.04 

0.07 

0.93 

1.03 

0.81 

5.5 

2.21 

1.04 

0.23 

0.03 

1.50 

1.02 

0.06 

0.95 

1.02 

0.78 

5.6 

2.22 

1.02 

0.25 

0.03 

152 

1.00 

0.05       0.97 

1.00 

0.74 

5.7 

2.23 

0.99 

0.26 

0.02 

1.54 

0.98 

0.05,      0.98 

0.99 

0.71 

5.8 

2.24 

0.97 

0.28 

0.02 

155 

0.95 

0.04 

1.00 

0.97 

0.67 

5.9 

2.25 

0.94 

0.29 

0.01 

1.57 

0.93 

0.04 

1.01 

0.96 

0.64 

6.0 

2.26 

0.92 

0.31 

0.01 

1.59 

0.91 

0.03 

1.03 

0.94 

0.60 

6.1 

2.27 

0.90 

0.33 

0.01 

1.61 

0.89 

0.03 

1.04 

0.92 

0.56 

6.2 

2.27 

0.87 

0.35 

0.01 

1.62 

0.86 

0.02 

1.06 

0.91 

0.53 

6.3 

2.28 

0.85 

0.36 

0.00 

1.64 

0.84 

0.02 

1.07 

0.89 

0.49 

6.4 

2.28 

0.82 

0.38 

0.00 

1.65 

0.81 

0.01 

1.09 

0.88 

0.46 

6.5 

2.29 

0.80 

0.40 

0.00 

1.67 

0.79 

0.01 

1.10 

0.86 

0.42 

6.6 

2.29 

0.78 

0.42 

0.00 

1.68 

0.77 

0.01 

1.11 

0.84 

0.39 

6.7 

2.30 

0.76 

0.44 

0.00 

1.70 

0.75 

0.01 

1.13 

0.83 

0.35 

6.8 

2.30 

0.73 

0.45 

0.00 

1.71 

0.72 

0.00 

1.14 

0.81 

0.32 

6.9 

2.31 

0.71 

0.47 

0.00 

1.73 

0.70 

0.00 

1.16 

0.80 

0.28 

7.0 

2.31 

0.69 

0.49 

0.01 

1.74 

0.68 

0.00 

1.17 

0.78 

0.25 

7.1 

2.31 

0.67 

0.51 

0.01 

1.75 

0.66 

0.00 

1.18 

0.76 

0.22 

7.2 

2.31 

0.65 

0.53 

0.01 

1.76 

0.64 

0.00 

1.19 

0.75 

0.20 

7.3 

2.32 

0.62 

0.56 

0.01 

1.78 

0.61 

0.00 

1.21 

0.73 

0.17 

7.4 

2.32 

0.60 

0.58 

0.02 

1.79 

0.59 

0.00 

1.22 

0.72 

0.15 

7.5 

2.32 

0.58 

0.60 

0.02 

1.80 

0.57 

0.00 

1.23 

0.70 

0.12 

7.6 

2.32 

0.56 

0.62 

0.03 

1.81 

055 

0.00 

1.24 

0.68 

0.10 

7.7 

2.32 

0.54 

0.64 

0.04 

1.82 

0.53 

0.00 

1.25 

0.67 

0.08 

7.8 

232 

0.51 

0.67 

0.04 

1.82 

0.51 

0.01 

1.26 

0.65 

0.07 

7.9 

2.32 

0.49 

0.69 

0.05 

1.83 

0.49 

0.01 

1.27 

0.64 

0.05 

8.0 

2.31 

0.47 

0.71 

0.06 

1.84 

0.47 

0.01 

1.28 

0.62 

0.04 

8.1 

2.31 

0.15 

0.73 

0.07 

1.85 

0.45 

0.01 

129 

0.60 

0.03 

8.2 

2.31 

0.43 

0.75 

0.08 

1.86 

0.43 

0.02 

1.30 

0.59 

0.02 

8.3 

2.30 

0.42 

078 

0.08 

1.86 

0.41 

0.02 

1.31 

0.57 

0.01 

8.4 

'2.30 

0.40 

0.80 

0.09 

1.87 

0.39 

0.03 

1.32 

0.56 

001 

8.5 

2.30 

0.38 

0.82 

010 

1.88 

0.37 

0.03 

1.33 

0.54 

0.00 

8.6 

2.29       0.36 

0.84 

0.11 

1.88 

0.35 

0.04 

1.34 

0.52 

0.00 

8.7 

2.29       0.34       087 

0.12 

1.88 

0.33 

0.04 

1.34 

0.50 

0.01 

8.8 

2.28       0.33 

0.89 

0.14 

1.89 

0.32 

0.05 

1.35 

0.49 

0.01 

8.9 

2.28 

0.31 

0.92 

0.15 

1.89 

0.30 

0.05 

1.35 

0.48 

0.02 

9.0 

2.27 

0.29 

0.94 

0.16 

1.89 

0.28 

0.06 

1.36 

0.46 

0.03 

9.1 

2.26 

0.27 

0.96 

0.17 

1.90 

0.26 

0.07 

1.37 

0.44 

0.04 

9.2 

2.25 

0.26 

0.99 

0.19 

1.90 

0.25 

0.07 

1.37 

0.43 

0.06 

9.3 

2.24 

0.24 

1.01 

0.20 

1.90 

0.23 

0.08 

1.38 

0.41 

0.07 

9.4 

2.23 

0.23 

1.04 

0.22 

1.90 

0.22 

0.08 

1.38 

0.40 

0.09 

9.5 

2.22 

0.22 

1.06 

0.23 

1.90 

0.20 

0.09 

1.39 

0.38 

0.11 

9.6 

2.21 

0.20 

1.08 

0.25 

1.90 

0.19 

0.10 

1.39 

0.37 

0.13 

9.7 

2.20 

0.19 

1.11 

0.26 

1.90 

0.18 

0.11 

1.40 

0.35 

0.16 

9.8 

2.18;      0.17 

1.13 

0.28 

1.89 

0.16 

0.12 

1.40 

0.34 

0.18 

9.9 

2.17 

0.16 

1.16 

0.29 

1.89 

0.15 

0.13 

1.41 

0.32 

0.21 

10.0 

2.16 

0.15 

1.18 

0.31 

1.89 

0.14 

0.14 

1.41 

0.31 

0.24 

323 


TABLES  CXX.-CXXIV. 


TABLES  CXX. 

ARGUMENTS       !*• 


CXXI. 
15. 


CXXII. 
16. 


cxxm. 
IT. 


CXXIV 
18. 


Days.         O        1O         2O 

0        1O 

o      10 

o     10      20 

0 

DavB 

6.0 

0.25 

0.03 

0.43 

0.43 

0.55 

6.64 

0.15 

0.13 

0.25 

0.00 

6.21 

0.1 

0.25 

0.03 

0.43 

0.42 

0.56 

0.61 

0.17 

0.13 

0.25 

0.00 

0.23 

0.2 

0.24 

0.03 

0.43 

0.40 

0.57 

0.59 

0.18 

0.14 

0.25 

0.00 

0.24 

0.3 

0.24 

0.04 

0.44 

0.39 

0.57 

056 

0.20 

0.14 

0.24 

0.00 

0.25 

0.4 

0.23 

0.04 

0.44 

0.37 

0.58 

0.54 

0.22 

0.15 

0.24 

0.00 

0.27 

0.5 

0.23 

0.04 

0.44 

0.36 

0.69 

0.51 

0.24 

0.15 

0.24 

0.00 

0.28 

0.6 

0.22 

0.04 

0.44 

0.35 

0.59 

0.48 

0.26 

0.15 

0.24 

0.00 

0.29 

0.7 

0.22 

0.05 

0.44 

0.34 

0.60 

0.45 

0.29 

0.15 

0.24 

0.00 

0.30 

0.8 

0.21 

0.05 

0.45 

0.32 

0.60 

0.43 

0.31 

0.16 

0.23 

0.00 

0.32 

0.9 

0.21 

0.06 

0.45 

0.31 

0.61 

0.40 

0.34 

0.16 

0.23 

0.00 

0.33 

1.0 

0.20 

0.06 

0.45 

0.30 

0.61 

0.37 

0.37 

0.16 

0.23 

0.00 

0.34 

1.1 

0.19 

0.06 

0.45 

0.29 

0.61 

0.34 

0.40 

0.17 

0.23 

0.00 

0.35 

1.2 

0.19 

0.06 

0.45 

0.27 

0.61 

0.31 

0.43 

0.17 

0.23 

0.00 

0.36 

1.3 

0.18 

0.07 

0.46 

0.26 

0.62 

0.29 

0.45 

0.17 

0.22 

0.00 

0.37 

1.4 

0.18 

0.07 

0.46 

0.24 

0.62 

0.26 

0.48    • 

0.18 

0.22 

0.00 

0.38 

1.5 

0.17 

0.07 

0.46 

0.23 

0.62 

0.24 

0.51 

0.18 

0.22 

0.00 

0.39 

1.6 

0.17 

0.07 

0.46 

0.22 

0.62 

0.22 

0.54 

0.18 

0.21 

0.00 

0.40 

1.7 

0.16 

0.08 

0.46 

0.21 

0.62 

0.20 

0.56 

0.18 

0.21 

0.00 

0.41 

1.8 

0.16 

0.08 

0.46 

0.19 

0.61 

0.18 

0.59 

0.19 

0.21 

0.00 

0.42 

1.9 

0.15 

0.09 

0.46 

0.18 

0.61 

0.17 

0.61 

0.19 

0.20 

0.00 

0.42 

2.0 

0.15 

0.09 

0.46 

0.17 

0.61 

0.15 

0.64 

0.19 

0.20 

0.00 

0.43 

2.1 

0.15 

0.09 

0.46 

0.16 

0.61 

0.14 

0.66 

0.20 

0.20 

0.01 

0.43 

2.2 

0.14 

0.10 

0.46 

0.15 

0.60 

0.13 

0.68 

0.20 

0.20 

0.01 

0.43 

2.3 

0.14 

0.10 

0.46 

0.13 

0.60 

0.12 

0.70 

0.20 

0.19 

0.01 

0.44 

2.4 

0.13 

0.11 

0.46 

0.12 

0.59 

0.12 

0.71 

0.21 

0.19 

0.01 

0.44 

2.5 

0.13 

0.11 

0.46 

0.11 

0.59 

0.11 

0.73 

0.21 

0.19 

0.01 

0.44 

2.6 

0.13 

0.11 

0.46 

0.10 

0.58 

0.11 

0.74 

0.21 

0.18 

0.01 

0.44 

2.7 

0.12 

0.12 

0.46 

0.09 

0.58 

0.11 

0.75 

0.21 

0.18 

0.01 

0.44 

2.8 

0.12 

0.12 

0.46 

0.08 

0.57 

0.11 

0.76 

0.22 

0.18 

0.02 

0.43 

2.9 

0.11 

0.13 

0.46 

0.07 

0.57 

0.12 

0.77 

0.22 

0.17 

0.02 

0.43 

3.0 

0.11 

0.13 

0.46 

0.06 

0.56 

0.12 

0.78 

0.22 

0.17 

0.02 

0.43 

3.1 

0.11 

0.14 

0.46 

0.05 

0.55 

0.13 

0.78 

0.22 

0.17 

0.02 

0.42 

3.2 

0.10 

0.14 

0.46 

0.05 

0.54 

0.14 

0.78 

0.22 

0.17 

0.02 

0.42 

3.3 

0.10 

0.15 

0.45 

0.04 

0.53 

0.15 

0.77 

0.23 

0.16 

0.02 

0.41 

3.4 

0.09 

0.15 

0.45 

0.04 

0.52 

0.16 

0.77 

0.23 

.   0.16 

0.02 

0.41 

3.5 

0.09 

0.16 

0.45 

0.03 

0.51 

0.17 

0.76 

0.23 

0.16 

0.03 

0.40 

3.6 

0.09 

0.16 

0.45 

0.03 

0.50 

€.19 

0.75 

0.23 

0.15 

0.03 

0.39 

3.7 

0.08 

0.17 

0.45 

0.02 

0.49 

0.21 

0.74 

'0.23 

0.15 

0.03 

0.38 

3.8 

0.08 

0.17 

0.44 

0.02 

0.48 

0.23 

0.72 

0.24 

0.15 

0.03 

0.37 

3.9 

0.07 

0.18 

0.44 

0.01 

0.47 

0.25 

0.71 

0.24 

0.14 

0.03 

0.36 

4.0 

0.07 

0.18 

0.44 

0.01 

0.46 

0.27 

0.69 

0.24 

0.14 

004 

0.35 

4.1 

0.07 

0.19 

0.44 

0.01 

0.45 

0.29 

0.67 

0.24 

0.14 

0.04 

0.34 

4.2 

0.06 

0.19 

0.44 

0.01 

0.43 

0.31 

0.65 

0.24 

0.13 

0.04 

0.33 

4.3 

006 

0.20 

0.43 

0.00 

0.42 

0.33 

0.63 

0.24 

0.13 

0.04 

0.32 

4.4 

0.05 

0.20 

0.48 

0.00 

0.40 

0.35 

0.60 

0.25 

0.13 

005 

0.30 

4.5 

0.05 

0.21 

0.43 

0.00 

0.39 

0.37 

0.58 

0.25 

0.12 

0.05 

0.29 

4.6 

0.05 

0.21 

o.  i:f 

0.00 

<)..'iH 

().:(! 

0.55 

0.25 

0.12 

0.05 

0.28 

4.7 

0.05      0.22 

0.43 

0.00 

0.36 

0.41 

0.53 

0.25 

0.12 

005 

0.26 

4.8 

0.04 

0.22 

0.  12 

0.01 

0.35 

0.43 

0.50 

0.26 

0.11 

0.06 

0.25 

4.9 

0.01 

0.2.' 

0.42 

0.01 

0.33 

0.45 

0.47 

0.26 

0.11 

0.06 

0.23 

5.0 

0.04 

0.23 

0.42 

0.01 

0.32 

0.47 

0.11 

0.26 

(Ml 

0.06 

0.22 

324 


TABLES  CXX.-CXXIV. 


TABLES  CXX. 

ARGUMENTS       !*• 


CXXI. 
15. 


CXXII. 
16. 


CXXIII. 
17. 


CXXIV. 
18. 


Days.         O        1O         SO 

o      10 

o      10 

O        1O        SO 

O 

Days 

5.0 

0.04 

0.23 

0.42 

6.01 

0.32 

0.47 

0.44 

6.26 

6.11 

0.06 

6.22 

5.1 

0.04 

0.23 

0.42 

0.01 

0.31 

0.48 

0.41 

0.26 

0.10 

0.06 

0.21 

5.2 

0.04 

0.24 

0.42 

0.02 

0.29 

0.50 

0.39 

0.26 

0.10 

0.06 

0.19 

5.3 

0.03 

0.24 

0.41 

0.02 

0.28 

0.51 

0.36 

0.27 

0.10 

0.07 

0.18 

5.4 

0.03 

0.25 

0.41 

0.03 

0.26 

0.52 

0.34 

0.27 

0.09 

0.07 

0.16 

5.5 

0.03 

0.25 

0.41 

0.03 

0.25 

0.53 

0.31 

0.27 

0.09 

0.07 

0.15 

5.6 

0.03 

0.26 

0.41 

0.04 

0.24 

0.54 

0.29 

0.27 

0.09 

0.07 

0.14 

5.7 

0.03 

0.26 

0.40 

0.05 

0.23 

0.55 

0.26 

0.27 

0.09 

0.08 

0.13 

5.8 

0.02 

0.27 

•  0.40 

0.05 

0.21 

0.55 

0.24 

0.27 

0.08 

0.08 

0.11 

5.9 

0.02 

0.27 

0.39 

0.06 

0.20 

0.56 

0.21 

0.27 

0.08 

0.08 

0.10 

6.0 

0.02 

0.28 

0.39 

0.07 

0.19 

0.56 

0.19 

0.28 

0.08 

0.09 

0.09 

6.1 

0.02 

0.28      0.39 

0.08 

0.18 

0.56 

0.17 

0.28 

0.08 

0.09 

0.08 

6.2 

0.02 

0.29  !     0.38 

0.09 

0.17 

0.55 

0.16 

0.28 

0.07 

009 

0.07 

6.3 

0.01 

0.29 

0.38 

0.10 

0.15 

0.55 

0.14 

0.28 

0.07 

0.10 

0.06 

6.4 

0.01 

0.30 

0.37 

0.11 

0.14 

0.54 

0.13 

0.28 

0.07 

0.10 

0.05 

6.5 

0.01 

0.30 

0.37 

0.12 

0.13 

0.53 

0.12 

0.28 

0.06 

0.10 

0.04 

6.6 

0.01 

0.31 

0.37 

0.13 

0.12 

0.52 

0.12 

0.28 

0.06 

0.11 

0.03 

6.7 

0.01 

0.31 

0.36 

0.14 

0.11 

0.51 

0.11 

0.28 

0.06 

0.11 

0.03 

6.8 

0.00 

0.32 

0.36 

0.16 

0.10 

0.50 

0.11 

0.28 

0.05 

0.11 

0.02 

6.9 

0.00 

0.32 

0.35 

0.17 

0.09 

0.48 

0.11 

0.28 

0.05 

0.12 

0.02 

7.0 

0.00 

0.33 

0.35 

0.18 

0.08 

0.47 

0.11 

0.28 

0.05 

0.12 

0.01 

7.1 

0.00 

0.33 

0.35 

0.19 

0.07 

0.45 

0.12 

0.28 

0.05 

0.12 

0.01 

7.2 

000 

0.34 

0.34 

0.20 

0.06 

0.43 

0.12 

0.28 

0.05 

0.13 

0.01 

7.3 

0.00 

0.34 

0.34 

0.22 

0.05 

0.41 

0.13 

0.28 

0.04 

0.13 

0.00 

7.4 

0.00 

0.35 

0.33 

0.23 

0.05 

0.39 

0.13 

0.28 

0.04 

0.13 

0.00 

7.5 

0.00 

0.35 

0.33 

0.24 

0.04 

0.37 

0.14 

0.28 

0.0  1 

0.14 

0.00 

7.6 

0.00 

0.35 

0.33 

0.25 

0.03 

0.35 

0.15 

0.28 

0.04 

0.14 

0.00 

7.7 

0.00 

0.36 

0.32 

0.27 

0.03 

0.33 

0.16 

0.28 

0.04 

0.14 

0.00 

7.8 

0.00 

0.36 

0.32 

0.28 

0.02 

0.31 

0.18 

0.28 

0.03 

0.15 

0.01 

7.9 

0.00 

0.37 

0.31 

0.30 

0.02 

0.29 

0.20 

0.28 

0.03 

0.15 

0.01 

8.0 

0.00 

0.37 

0.31 

0.31 

0.01 

027 

0.22 

0.28 

0.03 

0.15 

0.01 

8.1 

0.00 

0.3' 

0.31 

0.32 

0.01 

0.25 

0.24 

0.28 

O.OJ 

0.16 

0.02 

8.2 

0.00 

0.38 

0.30 

0.34 

0.01 

0.23 

0.26 

0.28 

0.03 

0.16 

0.02 

8.3 

0.00 

0.38 

0.30 

0.35 

0.00 

0.21 

0.28 

0.27 

0.02 

0.16 

0.03 

8.4 

0.00 

0.39 

0.29 

0.37 

0.00 

0.19 

0.30 

0.27 

0.02 

0.17 

0.04 

8.5 

0.00 

0.39 

0.29 

0.38 

0.00 

0.17 

0.32 

0.27 

0.02 

0.17 

0.05 

8.6 

0.00 

0.39 

0.29 

0.39 

0.00 

0.16 

0.34 

0.27 

0.02 

0.17 

0.06 

8.7 

0.00 

0.39 

0.28 

0.40 

0.00 

0.15 

0.36 

0.27 

0.02 

0.17 

•    0.07 

8.8 

0.01 

0.40 

0.28 

0.42 

0.00 

0.14 

0.38 

0.27 

0.01 

0.18 

0.08 

8.9 

0.01 

0.40 

0.27 

0.43 

0.00 

0.13 

0.40 

0.27 

0.01 

0.18 

0.09 

9.0 

o.oi 

0.40 

027 

0.44 

0.00 

0.12 

0.42 

0.27 

0.01 

018 

0.10 

9.1 

0.01 

0.40 

0.26 

0.45 

0.01 

0.12 

0.44 

0.27 

0.01 

0.19 

0.11 

9.2 

0.01 

0.41 

0.25 

0.46 

0.01 

0.11 

0.46 

0.27 

0.01 

0.19 

0.12 

9.3 

002 

0.41 

0.25 

0.48 

0.01 

0.11 

0.48 

0.26 

0.01 

0.19 

0.14 

9.4 

0.02 

0.42 

0.24 

0.49 

0.02 

0.11 

0.49 

0.26 

0.01 

020 

0.15 

9.5 

0.02 

0.42 

0.23 

0.50 

0.02 

0.11 

0.51 

0.26 

0.01 

0.20 

0.16 

9.6 

0.0-2 

0.42 

0.23 

0.51 

0.03 

0.12 

0.52 

0.26 

0.01 

0.20 

0.17 

9.7 

0.02 

0.42 

0.22 

0.52 

0.03 

0.12 

0.53 

0.26 

0.01 

0.20 

0.19 

9.8 

0.03 

0.43 

0.22 

0.53 

0.04 

0.13 

0.54 

0.25 

0.00 

0.21 

0.20 

9.9 

0.03 

0.43 

0.21 

0.54 

0.04 

0.14 

'0.54 

0.25 

0.00 

0.21 

0.22 

10.0 

0.03 

0.43      0.21 

0.55 

0.05 

0.15 

0.55 

0.25 

0.00 

0.21 

0.23 

325 


TABLES  CXXV.-CXXVIII. 


TABLES          CXXV. 
ARGUMENTS      19« 


CXXVI. 
20. 


CXXVII. 
22. 


CXXVIII. 
23. 


Days.     O          IO         2O 

0        10 

O        IO       20       3O 

O        IO       2O 

D«y». 

,1 

I 

if 

II 

II      1 

0.0 

0.15 

0.04 

0.24 

0.08 

0.03 

0.09 

003 

6.18 

0.02 

0.09 

0.05 

0.17 

0.1 

0.15      0.04 

0.24 

0.08 

0.03 

0.09 

0.02 

0.18 

0.03 

0.09 

0.05      0.17 

0.2 

0.14      0.04 

0.24 

0.09 

0.02 

0.10 

0.02 

0.18 

0.03 

O.OS) 

0.05      0.17 

0.3 

0.14 

0.05 

0.23 

0.09 

0.02 

0  10 

0.02 

0.18      0.03 

0.08 

0.05      0.16 

0.4 

0.13 

0.05 

0.23 

0.10 

0.01 

0.11 

0.02 

0.18 

0.04 

0.08 

0.05 

0.16 

0.5 

0.13 

0.05 

023 

0.10 

0.01 

0.11 

0.01 

0.18 

0.04 

0.08 

0.06 

0.16 

0.6 

0.13 

0.05 

0.23 

0.11 

0.01 

0.11 

0.01 

0.18      0.04 

0.08 

0.06      0.16 

0.7 

0.12 

005 

0.23 

0.11 

0.01 

0.12 

0.01 

0.18      0.04 

0.08      0.06!     0.16 

0.8 

0.12 

0.06 

0.23 

0.12 

0.00 

0.12 

0.01 

0.17      0.05 

0  07      0  07 

0.15 

0.9 

0.11 

0.06 

0.23 

0.12 

0.00 

0.13 

0.01 

0.17 

0.05 

0.07 

0.07 

0.15 

1.0 

0.11 

0.06 

0.23 

0.13 

0.00 

0.13 

0.01 

0.17 

0.05 

0.07 

0.07 

0.15 

1.1 

0.11 

0.07 

0.23 

0.13 

0.00 

0.13 

0.01 

0.17 

0.05 

0.07 

0.07 

0.15 

1.2 

0.11 

0.07 

0.23 

0.14 

0.00 

0.13 

0.01 

0.17 

0.06 

0.07 

0.07 

0.15 

1.3 

0.10 

0.07 

0.22 

0.14 

0.00 

0.14 

0.00 

0.17 

0.06 

0.06 

0.08 

0.14 

1.4 

0.10 

008 

0.22 

0.15 

0.00 

0.14 

0.00 

0.17 

0.06 

0.06 

0.08 

0.14 

1.5 

0.10 

0.08 

0.22 

0.15 

0.00 

0.14 

0.00 

0.17 

0.07 

0.06 

0.08 

0.14 

1.6 

0.10 

0.08 

0.22 

0.16 

0.00 

0.14 

0.00 

0.16 

0.07 

0.06 

0.08 

0.14 

1.7 

0.09 

0.08 

0.22 

0.16 

0.00 

0.14 

0.00 

0.16 

0.08 

0.06 

0.08 

0.14 

1.8 

0.09 

0.09 

0.21 

0.17 

0.00 

0.15 

0.00 

0.16 

0.08 

0.05 

0.09 

0.13 

1.9 

0.08 

0.09 

0.21 

0.17 

0.00 

0.15 

0.00 

0.16 

0.09 

0.05 

0.09 

0.13 

2.0 

0.08 

0.09 

0.21 

0.18 

0.00 

0.15 

0.00 

0.15 

0.09 

0.05 

0.09 

0.13 

2.1 

0.08      0.09 

0.21 

0.18 

0.00 

0.16 

0.00 

0.15      0.09 

0.05 

0.09 

0  13 

2.2 

O.OS      0.09 

0.21 

0.19 

0.00 

0.16 

0.00 

0.15 

0.10 

0.05 

0.09 

0.13 

2.3 

0.07 

0.10 

0.20 

0.19 

0.01 

0.16 

0.00 

0.15 

0.10 

0.04 

0.10 

0.12 

2.4 

0.07 

0.10 

0.20 

0.20 

0.01 

0.16 

0.00 

0.14 

0.11 

0.04 

0.10 

0.12 

2.5 

0.07 

0.10 

0.20 

0.20 

0.01 

0.17 

0.00 

0.14 

0.11 

0.04 

0.10 

0.12 

2.6 

0.07 

0.11 

0.19 

0.20 

0.01 

0.17 

0.00 

0.14 

0.11 

0.04 

0.10 

0.12 

2.7 

0.07 

0.11 

0.19 

0.21 

0.01 

0.17 

0.00 

0.14!     0.11 

0.04 

0.10 

0.12 

2.8 

0.06 

0.11 

0.19 

0.21 

0.02 

0.17 

0.01 

0.13      0.12 

0.03 

0.11 

0.11 

2.9 

0.06 

0.12 

0.18 

0.22 

0.02 

0.17 

0.01 

0.13 

0.12 

0.03 

0.11 

0.11 

3.0 

0.06 

0.12 

0.18 

0.22 

0.02 

0.17 

0.01 

0.13 

0.12 

0.03 

0.11 

0.11 

3.1 

0.06 

0.12 

0.18 

0.22 

0.03 

0.17 

0.01 

0.12 

0.12 

0.03 

0.11 

0.11 

3.2 

0.05 

013 

0.18 

0.22 

003 

0.17 

0.01 

0.12 

0.13 

0.03 

0.12 

0.11 

:{.:< 

0.05 

0.13 

0.17 

0.23 

0.03 

0.18 

0.02 

0.12 

0.13 

0.02 

0.12 

0.10 

3.4 

0.04 

0.13 

0.17 

0.23 

0.04 

0.18 

0.02 

0.11 

0.13 

0.02 

0.12 

0.10 

3.5 

0.04 

0.14 

0.17 

0.23 

0.04 

0.18 

0.02 

0.11 

0.14 

0.02 

0.12 

0.10 

3.6 

0.04 

0.14 

0.17 

0.23 

0.04 

0.18 

0.02 

0.11 

0.14 

0.02 

0.13 

0.10 

3.7 

.0.04 

0.14 

0.17 

0.23 

0.05 

0.18 

0.02 

0.10 

0.14 

0.02 

0.13 

0.10 

3.8 

0.03 

0.15 

0.16 

0.24 

0.05 

0.18 

0.03 

0.10 

0.14 

0.01 

0.18 

0.09 

3.9 

0.03 

0.15 

0.16 

0.24 

0.06 

0.18 

0.03 

0.09 

0.15 

0.01 

0.13 

0.09 

4.0 

0.03 

0.15 

0.16 

0.24 

0.06 

0.18 

0.03 

0.09 

0.15 

0.01 

0.13 

0.09 

1.1 

0.03 

0.15 

0.15 

0.2  i 

0.07 

0.18 

0.03 

0.09 

0.15 

0.01 

0.14 

0.09 

4.2 

0.03      0.1.  -i      0.15 

0.24 

0.07 

0.18 

0.03 

0.08 

0  15 

0.01 

0.14 

0.08 

i.:! 

0.02      0.16      0.15 

0.2  1 

0.08 

0.18 

0.04 

0.08 

0.15 

0.01 

0.14 

0.08 

l.l 

0.02 

0.16 

0.14 

0.24 

0.08 

0.18 

0.04 

0.07 

0.16 

0.01 

0.11 

0.08 

i;. 

1MB 

0.16 

0.14 

0.24 

0.09 

0.18 

0.04 

0.07 

0.16 

0.01 

0.14 

0.08 

4.6 

0.0-,!      0.17      0.14 

0.2  1 

0.0!) 

0.18 

0.04 

0.07 

0.16 

0.01 

0.15 

0.07 

1.7 

0.02      0.17      0.13 

O.-.M 

0.10 

0.18 

0.05 

0.07 

0.16 

0.01 

0.15 

0.07 

48 

0.01 

0.17      0.13 

0.24 

0.10 

0.17 

0.05 

0.06 

0.16 

0.00 

0.15 

0.07 

III 

0.01 

(UN       O.l.'l 

0.24 

0.11 

0.17 

0.05      0.06 

0.17 

0.00 

0.15 

0.06 

5.0 

0.01 

0.18!     0.12 

0.2  1 

0.11 

0.17 

0.0<;       O.Oti 

0.17 

0.00 

0.151     0.06 

326 


TABLES  CXXV.-CXXVIII, 


TABLES          CXXV. 
ARGUMENTS      19. 


CXXVI. 

20. 


CXXVII. 
22. 


CXXVIII. 
23. 


Days.     O          1O         2O 

o      10 

O        1O       30       3O 

0        10       SO 

Days. 

5.0 

6.01 

0.18 

0.12 

0.24 

II 

0.11 

6.17 

0.06 

6.06 

0.17 

o.oo 

6.15 

0.06 

5.1 

0.01 

0.18 

0.12 

0.24 

0.12 

0.17 

0.06 

0.06 

0.17 

0.00 

0.15 

0.06 

5.2 

0.01 

0.18 

0.12 

0.24 

0.12 

0.17 

0.06 

0.05 

0.17 

0.00 

0.16 

0.06 

5.3 

0.01 

0.19 

0.11 

0.23 

0.13 

0.16 

0.07 

0.05 

0.17 

0.00 

0.16 

0.05 

5.4 

0.01 

0.19 

0.11 

0.23 

0.13 

0.16 

0.07 

0.05 

0.18 

0.00 

0.16 

0.05 

5.5 

0.01 

0.19 

0.11 

0.23 

0.14 

0.16 

0.07 

0.04 

0.18 

0.00 

0.16 

0.05 

5.6 

0.01 

0.19 

0.10 

0.23 

0.14 

0.16 

0.08 

0.04 

0.18 

0.00 

0.16 

0.05 

5.7 

0.01 

0.19 

0.10 

0.22 

0.15 

0.16 

0.08 

0.0  1 

0.18 

0.00 

0.16 

0.05 

5.8 

0.00 

0.20 

0.10 

0.22 

0.15 

0.15 

0.08 

0.0  1 

0.18 

000 

0.17 

0.04 

5.9 

0.00 

0.20 

0.09 

0.21 

0.16 

0.15 

0.09 

0.03 

0.18 

0.00 

0.17 

0.04 

6.0 

0.00 

0.20 

0.09 

0.21 

0.16 

0.15 

0.09 

0.03 

0.18 

0.00 

0.17 

0.04 

6.1 

0.00 

0.20 

0.09 

0.21 

0.17 

0.15 

0.09 

0.03 

0.18 

0.00 

0.17 

0.04 

6.2 

0.00 

0.20 

0.09 

0.20 

0.17 

0.15 

0.10 

0.03 

0.18 

0.00 

0.17 

0.04 

6.3 

0.00 

0.21 

0.08 

0.20 

0.18 

0.14 

0.10 

0.03 

0.18 

0.00 

0.17 

0.03 

6.4 

0.00 

0.21 

0.08 

0.19 

0.18 

0.14 

0.10 

0.02 

0.18 

0.00 

0.17 

0.03 

6.5 

0.00 

0.21 

0.08 

0.19 

0.19 

0.14 

0.11 

0.02 

0.18 

0.00 

0.17 

0.03 

6.6 

0.00 

0.21 

0.07 

0.19 

0.19 

0.14 

0.11 

0.02 

•0.18 

0.00 

0.17 

0.03 

6.7 

0.00 

0.21 

0.07 

0.18 

0.20 

0.13 

0.11 

0.02 

0.18 

0.00 

0.17 

0.03 

6.8 

0.00 

0.21 

0.07 

0.18 

0.20 

0.13 

0.12 

0.02 

0.17 

0.00 

0.18 

0.03 

6.9 

0.00 

0.22 

0.06 

0.17 

0.21 

0.13 

0.12 

0.01 

0.17 

0.00 

0.18 

0.02 

7.0 

0.00 

0.22 

0.06 

0.17 

0.21 

0.12 

0.12 

0.01 

0.17 

0.00 

0.18 

0.02 

7.1 

0.00 

0.22 

0.06 

0.17 

0.21 

0.12 

0.13 

0.01 

0.17 

0.00 

0.18 

002 

7.2 

0.00 

0.22 

0.06 

0.16 

0.21 

0.12 

0.13 

0.01 

0.17 

0.00 

0.18 

0.02 

7.3 

0.00 

0.22 

0.05 

0.16 

0.22 

0.11 

0.13 

0.01 

0.17 

0.01 

0.18 

0.02 

7.4 

0.00 

0.22 

0.05 

0.15 

0.22 

0.11 

0.14 

0.00 

0.17 

0.01 

0.18 

0.02 

7.5 

0.00 

0.23 

0.05 

0.15 

0.22 

0.11 

0.14 

0.00 

0.17 

0.0! 

0.1S 

0.02 

7.6 

0.00 

0.23 

0.05 

0.14 

022 

0.11 

0.14 

0.00 

0.16 

0.01 

0.18 

0.02 

7.7 

0.00 

0.23 

0.05 

0.14 

0.22 

0.10 

0.14 

0.00 

0.16 

0.01 

0.18 

0.02 

7.8 

0.01 

0.23 

0.04 

0.13 

023 

010 

0.15 

0.00 

0.16 

0.01 

0.18 

0.01 

7.9 

0.01 

0.23 

0.04 

0.13 

0.23 

0.10 

0.15 

0.00 

0.16 

0.01 

0.18 

0.01 

8.0 

0.01 

0.23 

0.04 

0.12 

0.23 

0.09 

0.15 

0.00 

0.16 

o.o; 

0.18 

0.01 

8.1 

0.01 

0.23 

0.01 

0.11 

0.23 

0.09 

0.15 

0.00 

0.15 

0.01 

0.18 

0.01 

8.2 

0.01 

023 

0.04 

0.11 

0.23 

0.08 

0.16 

0.00 

0.15 

0.01 

0.18 

0.01 

8.3 

0.01 

0.24 

0.03 

0.10 

0.23 

0.08 

0.16 

0.00 

0.15 

0.02 

0.18 

0.01 

8.4 

0.01 

0.24 

0.03 

0.10 

0.24 

0.07 

0.16 

0.00 

0.14 

0.02 

0.18 

0.01 

8.5 

0.01 

0.24 

0.03 

0.09 

0.24 

0.07 

0.16 

0.00 

0.14 

0.02 

0.18 

0.01 

8.6 

0.01 

0.24 

0.03 

0.09 

0.24 

0.07 

0.17 

0.00 

0.14 

0.02 

0.18 

0.01 

8.7 

0.01 

0.24 

0.03 

0.08 

0.24 

0.06 

0.17 

0.00 

0.14 

0.02 

0.18 

0.01 

8.8 

0.02 

0.24 

0.02 

0.08 

0.24 

0.06 

0.17 

0.01 

0.13 

0.02 

0.18 

0.00 

8.9 

0.02 

0.24 

0.02 

0.07 

0.24 

0.05 

0.17 

0.01 

0.13 

0.03 

0.18 

0.00 

9.0 

0.02 

0.24 

0.02 

0.07 

0.24 

0.05 

0.17 

0.01 

0.13 

0.03 

0.18 

0.00 

9.1 

0.02 

0.24 

0.02 

0.07 

0.24 

0.05 

0.17 

0.01 

0.13 

0.03 

0.18 

0.00 

9.2 

0.02 

0.24 

0.02 

0.06 

0.23 

0.05 

0.17 

0.01 

0  12 

0.03 

0.18 

0.00 

9.3 

0.03 

0.24 

0.01 

0.06 

0.23 

0.04 

0.18 

0.01 

0.12 

0.03 

0.17 

0.00 

9.4 

0.03 

0.24 

0.01 

0.05 

0.23 

0.04 

0.18 

0.01 

0.12 

0.03 

0.17 

0.00 

9.5 

0.03 

0.24 

0.01 

0.05 

0.23 

0.04 

0.18 

0.01 

0.11 

0.04 

0.1,7 

0.00 

9.6 

0.03 

0.24 

0.01 

0.05 

0.23 

0.04 

0.18 

0.01 

0.11 

0.04 

0.17 

0.00 

9.7 

0.03 

0.24 

0.01 

0.04 

0.23 

0.01 

0.18 

0.02 

0.10 

0.04 

0.17 

0.00 

9.8 

0.04 

0.24 

0.01 

0.04 

0.22 

0.03 

0.18 

0.02 

0.10 

0.04 

0.17 

0.00 

9.9 

0.04 

0.24 

0.01 

0.03 

0.22 

0.03 

0.18 

0.02 

0.09 

0.04 

0.17 

0.00 

10.0 

0.04 

0.24 

0.01 

0.03 

0.22 

0.03 

0.18 

0.02 

0.09 

0.05 

0.17 

0.00 

327 


TABLES  CXXIX.  -  CXXXII. 


TABLES  CXXIX. 

ARGUMENTS        24. 


cxxx. 

28. 


CXXXI. 
30. 


CXXXII. 
4. 


Days.       O          1  0 

O        1O      2O      3O 

O         10 

Days.     O     100    20O    30O 

D.y». 
0.0 

0.12 

0.20 

0.04 

010 

6.05 

0.00 

0.05     6.06 

Day,. 

0 

041 

o.oi 

6.51 

6.76 

0.1 

0.11 

0.20 

0.04 

0.10 

0.05 

0.00 

0.05     0.06 

1 

0.10 

0.01 

0.52 

0.76 

0.2 

0.11 

0.20    • 

0.04 

0.10 

0.05 

0.00 

0.04     0.05 

2 

0.40 

0.01 

0.5-2     0.75 

0.3 

0.10 

0.20 

0.05 

010 

0.05 

0.00 

0.04     0.05 

3 

0.3!) 

0.01 

0.53     0.75 

0.4 

0.10 

0.20 

0.05 

0.10 

0.05 

0.00 

0.03 

0.05 

4 

0.38 

0.01 

0.54 

0.75 

0.5 

0.09 

0.20 

0.05 

0.10 

0.05 

0.00 

0.03 

0.04 

5 

0.37 

0.01 

0.54 

0.74 

0.6 

0.09 

0.20 

0.05 

0.10 

005 

0.00 

0.03     0.04 

6 

0.37 

0.02 

0.55     0.74 

0.7 

0.08 

0.20 

0.05 

0.10 

005 

0.00 

0.03 

0.04 

7 

0.36 

0.02 

O.fxi     0.73 

0.8 

0.08 

0.20 

0.05 

0.10 

004 

0.00 

0.02 

0.03 

8 

0.35 

0.0-3 

0.56     0.73 

0.9 

0.07 

0.20 

0.05 

0.10 

0.04 

0.00 

0.02 

0.03 

9 

0.35 

0.02 

0.57 

0.73 

1.0 

0.07 

0.20 

0.05 

0.10 

0.04 

0.00 

0.02 

0.03 

10 

0.34 

0.02 

0.58 

0.72 

1.1 

0.07 

0.19 

0.05 

0.10 

0.04 

0.00 

0.02 

0.03 

11 

0.33 

0.03 

0.58     0.72 

1.2 

0.06 

0.19 

0.05 

0.10 

0.04 

0.00 

002 

0.02 

12 

0.33 

0.03 

0.59 

0.71 

1.3 

0.06 

0.19 

0.06 

0.10 

0.04 

0.00 

0.01 

0.02 

13 

0.32 

0.03 

0.60 

0.71 

1.4 

0.05 

0.19 

0.06 

0.10 

0.04 

0.00 

0.01 

0.02 

14 

0.31 

0.03 

0.60 

0.70 

1.5 

0.05 

0.19 

0.06 

0.10 

0.04 

0.00 

0.01 

0.01 

15 

0.30 

0.04 

061 

0.70 

1.6 

0.05 

0.18 

0.06 

0.10 

0.04 

0.00 

0.01 

0.01 

16 

0.30 

0.04 

0.61 

0.69 

1.7 

0.01 

0.18 

0.06 

0.10 

004 

0.00 

0.01 

0.01 

17 

0.29 

0.04 

062 

0.69 

1.8 

0.04 

0.18 

0.06 

0.10 

0.03 

0.00 

0.00 

0.01 

18 

0.28 

0.05 

0.62 

0.68 

1.9 

0.03 

0.17 

006 

0.10 

0.03 

0.00 

0.00 

0.00 

19 

0.28 

0.05 

0.63 

0.68 

2.0 

0.03 

0.17 

0.06 

0.10 

0.03 

0.00 

0.00 

0.00 

20 

0.27 

0.05 

0.63 

0.67 

2.1 

0.03 

0.17 

0.06 

0.10 

0.03 

0.00 

0.00 

0.00 

21 

0.26 

0.06 

0.64 

0.67 

2.2 

0.03 

0.16 

0.06 

0.10 

0.03 

0.00 

0.00 

0.00 

22 

0.26 

006 

0.64 

0.66 

2.3 

0.02 

0.16 

0.06 

0.10 

0.03 

0.00 

0.00 

0.00 

23 

0.25 

0.06 

0.65 

0.66 

2.4 

0.02 

0.15 

0.06 

0.10 

0.03 

0.00 

0.00 

0.00 

24 

0.25 

0.07 

0.65 

0.65 

2.5 

0.02 

0.15 

O.Ofi 

0.10 

0.03 

0.00 

0.00 

0.00 

25 

0.24 

0.07 

0.66 

0.65 

2.6 

001 

0.15 

0.06 

0.10 

0.03 

000 

0.00 

0.00 

26 

0.24 

0.07 

0.661    0.64 

2.7 

0.01 

0.14 

006 

0.10 

0.03 

0.01 

0.00 

000 

27 

0.23 

0.08 

0.67 

0.64 

2.8 

0.01 

0.14 

0.07 

0.10 

003 

0.01 

0.01 

0.00 

28 

0.23 

0.08 

0.67 

0.63 

2.9 

0.01 

0.13 

0.07 

0.10 

0.03 

0.01 

0.01 

0.00 

29 

0.22 

0.09 

6.68 

0.63 

3.0 

0.01 

0.13 

0.07 

0.10 

003 

0.01 

0.01 

0.00 

30 

0.21 

0.09 

0.68 

0.62 

3.1 

000 

0.13 

0.07 

0.10 

0.03 

0.01 

0.01 

0.00 

31 

0.21 

0.09 

0.69     0.62 

3.2 

0.00 

0.12 

0.07 

0.09 

0.03 

0.01 

0.01 

0.00 

32 

0.20 

0.10 

(Mi!)      0.61 

3.3 

0.00 

0.12 

007 

0.09 

002 

0.01 

0.02 

0.01 

33 

0.19 

0.10 

0.70     0.61 

3.4 

0.00 

0.11 

0.07 

0.09 

0.02 

0.01 

0.02 

0.01 

34 

0.19 

0  11 

0.70 

0.60 

3.5 

0.00 

0.11 

0.07 

009 

0.02 

0.01 

0.02 

001 

35 

0.18 

0.11 

0.7  ll    0.60 

3.6 

0.00 

0.10 

0.07 

0.09 

002 

0.01 

0.02 

001 

36 

0.18 

0.12 

0.71 

0.59 

3.7 

0.00 

0.10 

o.o: 

0.09 

0.03 

0.01 

0.02 

0.01 

37 

0.17 

0.12 

0.72 

0.59 

3.8 

0.00 

0.09 

0.07 

0.09 

0.02 

0.01 

0.03 

0.02 

38 

0.17 

(>.i:t 

0.72 

0.58 

3.9 

0.00 

0.09 

0.07 

0.09 

0.02 

0.01 

0.03 

0.02 

39 

0.16 

0.13 

0.73 

0.58 

4.0 

0.00 

tM 

0.07 

0.09 

0.02 

0.01 

0.03 

0.02 

40 

0.16 

0.14 

0.73 

0.57 

4.1 

0.00 

0.08 

O.OS     0.09 

0.02 

0.01 

o.n:t 

0.02 

41 

0.15 

d.l  1 

0.73 

0.56 

4.2 

0.00 

0.07 

O.OS      <).<>!) 

002 

0.01 

0.04 

0.03 

42 

0.15 

0.15 

0.74 

0.56 

4.3 

0.01 

0.07 

0.08 

009 

0.03 

0.01 

0.04 

0.03 

18 

0.14 

0.15 

0.74 

0.55 

4.4 

0.01 

0.06 

008 

0.09 

0.02 

0.02 

0.05 

0.03 

44 

0.14 

0.16 

0.74 

0.54 

4.5 

(101 

0.06 

O.OS     0.0!) 

0.02 

0.02 

0.05 

0.04 

45 

0.13 

0.16 

0.75 

0.54 

4.6 

(MM 

0.00 

0.08 

0.09 

002 

o.oa 

0.05 

0.0  1 

46 

0.13 

0.17 

0.75 

0.53 

4.7 

0.01      0.05 

0.08 

0.09 

002 

002 

0.06 

0.04 

47 

0.12 

0.17 

0.75 

0.52 

l.s 

0.02 

0.05 

0.08 

0.09 

0.01 

0.02 

0.06 

0.05 

48 

0.12 

0.18 

0.76 

0.52 

4.9 

0.02 

0.0  1 

008 

0.0!) 

0.01 

0.02 

0.07 

0.05 

49 

0.11 

0.18 

0.76 

0.51 

5.0 

0.02 

0.04 

0.08 

0.0!) 

0.01 

0.02 

0.07 

0.05 

50 

0.11 

0.19 

0.76 

0.50 

328 


TABLES  CXXIX.  -  CXXXII. 


TABLES  CXXIX. 

ARGUMENTS         24. 


cxxx. 

28. 


CXXXI. 
3O. 


CXXXII. 
4. 


Days.       O         1O 

O        1O      20      3O 

O        IO 

Days.     O     10O    2OO     3OO 

Buys. 

5.0 

0.02 

6.04 

0.08 

009 

6.01 

6.02 

6.07 

6.05 

Ito%s. 

50 

0  11 

0.19 

0.76  1    0.50 

5.1 

o.os 

0.04 

0.08 

0.09 

0.01 

0.02 

0.07 

0.05 

51 

0.10 

0.19 

0.77'    0.50 

5.2 

0.03 

0.03 

0.08 

0.09 

0.01 

0.02 

0.07 

0.06 

52 

0.10 

0.20 

0.77     0.49 

5.3 

0.03 

0.03 

0.08 

008 

0.01 

0.02 

0.08 

0.06 

53 

0.09 

0.20 

0.77 

0.48 

5.4 

0.03 

0.02 

0.08 

0.08 

0.01 

0.02 

0.08 

0.07 

54 

0.09 

0.21 

0.77 

0.48 

- 

5.5 

0.04 

0.02 

0.08 

0.08 

0.01 

0.02 

0.08 

0.07 

55 

0.08 

0.22 

0.77 

0.47 

5.6 

0.04 

0.02 

0.09 

0.08 

001 

0.02 

0.08 

0.07 

56 

0.08 

0.22 

0.78 

0.46 

5.7 

0.04 

0.02 

0.09 

0.08 

001 

0.02 

0.09 

0.08 

57 

0.07 

0.23 

0.78 

O.J6 

5.8 

0.05 

0.01 

0.09 

0.08 

001 

0.02 

0.09 

0.08 

58 

0.07 

0.24 

0.78 

0.45 

5.9 

0.05 

0.01 

0.09 

0.08 

0.01 

0.02 

0.10 

0.09 

59 

0.07 

0.24 

0.78 

0.44 

6.0 

0.06 

0.01 

0.09 

0.08 

0.01 

0.03 

0.10 

0.09 

60 

0.06 

0.25 

0.78 

0.44 

6.1 

0.06 

0.01 

0.09 

0.08 

0.01 

0.03 

0.10 

0.09 

61 

0.06 

0.26 

0.79 

0.43 

6.2 

0.06 

0.01 

0.09 

0.08 

0.01 

0.03 

0.10 

0.09 

62 

0.05 

0.26 

0.79 

0.42 

6.3 

0.07 

0.00 

0.09 

0.08 

0.01 

0.03 

0.11 

0.10 

63 

0.05 

0.27 

0.79 

0.42 

6.4 

0.07 

0.00 

0.09 

0.08 

0.01 

0.03 

0.11 

0.10 

64 

0.05 

0.27 

0.79 

0.41 

6.5 

0.08 

0.00 

0.09 

0.08 

0.01 

0.03 

0.11 

0.10 

65 

0.04 

0.28 

079 

0.40 

6.6 

0.08 

0.00 

0.09 

0.08 

0.01 

0.03 

0.11 

0.10 

66 

0.04 

0.28 

0.79 

0.40 

6.7 

0.09 

0.00 

0.09 

0.08 

0.01 

0.03 

0.11 

0.10 

67 

0.04 

0.29 

0.79 

0.39 

6.8 

0.09 

0.00 

0.09 

0.07 

0.00 

0.03 

0.12 

0.11 

68 

0.03 

0.30 

0.80 

0.38 

6.9 

0.10 

0.00 

0.09 

0.07 

0.00 

0.03 

0.12 

0.11 

69 

0.03 

0.30 

0.80 

0.37 

7.0 

0.10 

0.00 

0.09 

0.07 

0.00 

0.03 

0.12 

0.11 

70 

0.03 

0.31 

0.80 

0.37 

7.1 

0.10 

0.00 

0.09 

0.07 

0.00 

0.03 

0.12 

0.11 

71 

0.02 

0.31 

0.80 

0.36 

7.2 

0.11 

0.00 

0.09 

0.07 

0.00 

0.03 

0.12 

0.11 

72 

0.02 

032 

0.80 

0.35 

7.3 

0.11 

0.00 

0.09 

0.07 

0.00 

0.04 

0.12 

0.12 

73 

0.02 

0.33 

0.80 

0.35 

7.4 

0.12 

0.00 

0.09 

0.07 

0.00 

0.04     . 

0.12 

0.12 

74 

0.02 

0.33 

0.80 

0.34 

7.5 

0.12 

0.00 

0.09 

0.07 

0.00 

0.04 

0.12 

0.12 

75 

0.02 

0.34 

0.80 

0.33 

7.6 

0.12 

.0.00 

0.09 

0.07 

0.00 

004 

0.12 

0.12 

76 

0.01 

0.34 

0.80 

0.33 

7.7 

0.13 

0.00 

0.09 

0.07 

0.00 

0.04 

0.12 

0.12 

77 

0.01 

0.35 

0.80 

0.32 

7.8 

0.13     0.01 

0.10 

0.07 

0.00 

0.04 

0.12 

0.12 

78 

0.01 

0.36 

0.80 

0.31 

7.9 

0.14 

0.01 

0.10 

0.07 

0.00 

0.04 

0.12 

0.12 

79 

0.01 

0.36 

0.80 

0.31 

8.0 

0.14 

0.01 

0.10 

0.07 

0.00 

0.04 

0.12 

0.12 

80 

0.01 

037 

0.80 

0.30 

8.1 

0.15 

0.01 

0.10 

0.07 

0.00 

0.04 

0.12 

0.12 

81 

0.01 

0.38 

0.80 

0.29 

8.2 

0.15 

0.01 

0.10 

0.07 

0.00 

0.04 

0.11 

0.12 

82 

0.00 

0.39 

0.80 

0.29 

8.3 

0.16 

0.02 

0.10 

0.06 

000 

0.04 

0.11 

0.12 

83 

0.00 

0.40 

0.80 

0.28 

8.4 

0.16 

0.02 

0.10 

0.06 

0.00 

0.04 

0.11 

0.11 

84 

0.00 

040 

0.80 

0.28 

8.5 

0.16 

0.02 

0.10 

006 

0.00 

0.04 

0.11 

0.11 

85 

0.00 

0.41 

0.80 

0.27 

8.6 

0.17 

0.03 

0.10 

0.06 

0.00 

0.04 

0.11 

0.11 

86 

0.00 

0.42 

0.79 

0.26 

8.7 

0.17     0.03 

0.10 

0.0(5 

0.00 

0.04 

0.10 

0.11 

87 

0.00 

0.42 

0.79 

0.26 

8.8 

0.18     0.03 

0.10 

0.06 

0.00 

0.05 

0.10 

0.11 

88 

0.00 

0.43 

0.79 

0.25 

8.9 

0.18 

0.04 

0.10 

0.06 

0.00 

0.05 

0.10 

0.10 

89 

0.00 

0.44 

0.79 

0.24 

9.0 

0.18 

0.04 

0.10 

0.06 

0.00 

0.05 

0.09 

0.10 

90 

0.00 

0.44 

0.79 

0.24 

9.1 

0.18 

0.04 

0.10 

0.06 

0.00 

0.05 

0.09 

0.10 

91 

0.00 

0.45 

0.78 

0.23 

9.2 

0.19 

0.05 

0.10     0.06 

0.00 

0.05 

0.09 

0.10 

92 

0.00 

0.46 

0.78 

0.22 

9.3 

0.19 

0.05 

0.10     0.05 

0.00 

0.05 

0.08 

0.09 

93 

0.00 

0.47 

0.78 

0.22 

9.4 

0.19 

0.06 

010 

0.05 

0.00 

0.05  f 

0.08 

0.09 

94 

0.00 

0.47 

•  0.78 

0.21 

9.5 

0.19 

0.06 

0.10 

0.05 

0.00 

0.05 

0.08 

0.09 

95 

0.00 

0.48 

0.77 

0.20 

9.6 

0.19 

0.06 

0.10     0.05 

000 

0.05 

0.08 

0.09 

96 

0.00 

0.48 

0.77 

0.20 

9.7 

0.19 

0.07 

0.10     0.05 

000 

0.05 

0.07 

0.08 

97 

0.00 

0.49 

0.77 

0.19 

9.8 

0.20 

0.07 

0.10     0.05 

0.00 

0.06 

0.07 

0.08 

98 

0.01 

0.50 

0.77 

0.18 

9.9 

0.20 

0.08 

0.10 

0.05 

0.00 

0.06 

0.06 

0.07 

99 

0.01 

0.50 

0.76 

0.18 

10,0 

0.20 

0.09 

0.10 

0.05 

0.00 

0.06 

0.06 

0.07 

100 

0.01 

0.51 

0.76 

0.17 

329 


TABLES  CXXXIII.  -  CXXXV. 


TABLES 

ARGUMENTS 


cxxxm. 

5. 


CXXXIV. 
12'. 


CXXXV. 
Hor.  Par. 


Days.   O     10O   2OO   30O    4OO 

0     100 

Hor.  Pur. 

0 

K 

0.20 

0.46 

6.17 

0.50 

0.11 

6.10 

0.07 

S'ronifs 

3000 

If 

0.11 

i 

0.21 

0.45    0.18 

0.49 

0.12 

0.10 

0.07 

3010 

0.11 

2 

0.22 

0.44    0.19 

0.48 

0.13 

0.11 

0.06 

3080 

0.11 

3 

0.23 

0.43 

0.20 

0.47 

0.14 

0.11 

0.06 

3030 

0.11 

4 

0.24 

0.43 

0.20 

0.46 

0.14 

0.12 

0.05 

3040 

0.11 

5 

0.25 

0.42 

0.21 

0.45 

0.15 

0.12 

0.05 

3050 

0.11 

6 

0.26 

0.41 

0.22 

0.44 

0.16 

0.12 

0.05 

3060 

0.11 

7 

0.27 

0.40 

0.23 

0.43 

0.17 

0.12 

0.05 

3070 

0.11 

8 

0.28 

0.39 

0.24 

0.42 

0.18 

0.13 

0.04 

3080 

0.11 

9 

0.29 

0.38 

0.25 

0.42 

0.18 

0.13 

0.04 

3090 

0.12 

10 

0.30 

0.37 

0.26" 

0.41 

0.19 

0.13 

0.04 

3100 

0.12 

11 

0.31 

0.36 

0.27 

0.40 

0.20 

0.14 

0.03 

3110 

0.12 

12 

0.32 

0.35 

0.28 

0.39 

0.21 

0.14 

0.03 

3120 

0.12 

13 

0.33 

0.34 

0.29 

0.38 

0.22 

0.14 

0.03 

3130 

0.12 

14 

0.34 

0.33 

0.29 

0.37 

0.22 

0.15 

0.02 

3140 

0.12 

15 

0.35 

0.32 

0.30 

0.36 

0.23 

0.15 

0.02 

3150 

0.12 

16 

0.36 

0.31 

0.31 

0.35 

0.24 

0.15 

0.02 

3160 

0.12 

17 

0.37 

0.30 

0.32 

0.34 

0.25 

0.16 

0.02 

3170 

0.12 

18 

0.38 

0.29 

0.33 

0.33 

0.26 

0.16 

0.01 

3180 

0.12 

19 

0.38 

0.29 

0.34 

0.33 

0.27 

0.17 

0.01 

3190 

0.13 

20 

0.39 

0.28 

0.35 

0.32 

0.28 

0.17 

0.01 

3200 

0.13 

21 

0.40 

0.27 

0.36 

0.31 

0.29 

0.17 

0.01 

3210 

0.13 

22 

0.41 

0.26 

0.37 

"  0.30 

0.30 

0.18 

0.01 

3220 

0.13 

23 

0.42 

0.25 

0.38 

0.29 

0.31 

0.18 

0.00 

3230 

0.13 

24 

0.43 

0.24 

0.39 

0.28 

0.31 

0.19 

0.00 

3240 

0.13 

25 

0.44 

0.23 

0.40 

0.27 

0.32 

0.19 

0.00 

3250 

0.14 

26 

0.45 

0.22 

0.41 

0.26 

0.33 

0.19 

0.00 

3260 

0.14 

27 

0.46 

0.21 

0.42 

0.25 

0.34 

0.19 

0.00 

3270 

0.14 

28 

0.47 

0.20 

0.43 

0.24 

0.35 

0.20 

0.00 

3280 

0.14 

29 

0.47 

0.20 

0.43 

0.23 

0.36 

0.20 

0.00 

3290 

0.14 

30 

0.48 

0.19 

0.44 

0.22 

0.37 

0.20 

0.00 

3300 

0.14 

31 

0.49 

0.18 

0.45 

0.21 

0.38 

0.20 

0.00 

3310 

0.14 

32 

0.50 

0.17 

0.46 

0.20 

0.39 

0.20 

0.00 

3320 

0.14 

33 

0.51 

0.16 

0.47 

0.19 

0.40 

0.20 

0.00 

8880 

0.15 

34 

0.51 

0.16 

0.47 

0.19 

0.41 

0.21 

0.00 

3340 

0.15 

35 

0.52 

0.15 

0.48 

0.18 

0.42 

0.21 

0.00 

3350 

0.15 

36 

0.53 

0.14 

0.49 

0.17 

0.43 

0.21 

0.00 

3360 

0.15 

37 

0.54 

0.13 

0.50 

0.16 

0.44 

0.21 

0.00 

:i:i7() 

0.15 

38 

<).:>! 

0.13 

0.51 

0.15 

0.45 

0.21 

0.00 

:t:!M> 

0.15 

39 

0.55 

0.12 

0.51 

0.15 

0.45 

0.21 

0.00 

3390 

0.15 

40 

0.55 

0.12 

052 

0.14 

0.46 

0.21 

0.01 

3400 

015 

41 

0.56 

0.11 

0.53 

0.13 

0.47 

0.21 

0.01 

3410 

0.15 

42 

0.57 

0.10 

0.54 

0.12 

0.48 

0.21 

0.01 

3420 

0.16 

43 

0  f,7 

0.10 

0.54 

0.11 

0.49 

0.22 

0.01 

:m<> 

0.16 

44 

0.58 

0.09 

0.55 

0.11 

0.49- 

0.22 

0.01 

3440 

0.16 

45 

0.58 

0.09 

0.55 

0.10 

0.50 

0.22 

0.01 

3450 

0.16 

46 

0.59 

0.08 

0.56 

0.09 

0.51 

0.22 

0.01 

3460 

0.16 

47 

0.59 

0.07 

0.57 

0.09 

0.52 

0.22 

0.01 

3470 

0.16 

48 

0.60 

0.07 

0.57 

0.08 

0.53 

0.22 

0.02 

3480 

0.17 

49 

0.60 

0.06 

<>.f)S 

0.08 

0.53 

0.22 

0.02 

3490 

0.17 

50 

0.61 

0.06 

0.58 

0.07 

0.54 

0.22 

0.02 

3500 

0.17 

330 


TABLES  CXXXIII.  -  CXXXV. 


TABLES 
ARGUMENTS 


CXXXIII. 
5. 


CXXXIV. 
12'. 


CXXXV. 
Hor.  Par. 


Days.   O     1OO   2OO   3OO    4OO 

O     IOO 

Hor.  Par. 

O' 

Days 

50 

0.61 

0.06 

6.58 

0.07 

6.54 

0.22 

0.02 

STOIC!?. 

3500 

6.17 

51 

0.61 

0.05    0.59 

0.07 

0.55 

0.22 

0.02 

3510 

0.17 

52 

0.61 

0.05 

0.59 

0.06 

0.56 

0.22 

0.02 

3520 

0.17 

53 

0.61 

0.04 

0.60 

0.05 

056 

0.22 

0.03 

3530 

0.17 

54 

0.62 

0.04 

0.60 

0.05 

0.57 

0.22 

0.03 

3540 

0.17 

55 

0.62 

0.03 

0.61 

0.04 

0.57 

0.22 

0.03 

3550 

0.17 

56 

0.62 

0.03 

0.61 

0.03 

0.58 

0.22 

003 

3560 

0.18 

57 

0.62 

0.03 

0.61 

0.03 

0.58 

0.22 

0.04 

3570 

0.18 

58 

0.62 

0.03 

0.61 

0.03 

0.59 

0.21 

0.04 

3580 

0.18 

59 

.0.63 

0.02 

0.62 

0.02 

0.59 

0.21 

0.04 

3590 

0.18 

60 

0.63 

0.02 

0.62 

0.02 

0.60 

0.21 

0.05 

3600 

0.18 

61 

0.63 

0.02 

0.62 

0.02 

0.60 

0.21 

0.05 

3610 

0.18 

62 

0.63 

0.02 

0.62 

0.02 

0.60 

0.20 

0.05 

3620 

0.18 

63 

0.63 

0.02 

0.62 

0.02 

0.61 

0.20 

0.06 

3630 

0.19 

64 

0.63 

0.02 

0.63 

0.01 

0.61 

0.20 

0.06 

3640 

0.19 

65 

0.63 

0.02 

0.63 

0.01 

0.62 

0.19 

0.06 

3650 

0.19. 

66 

0.63 

0.02 

0.63 

0.01 

0.62 

0.19 

0.06 

3660 

0.19 

67 

0.63 

0.02 

0.63 

0.00 

0.62 

0.19 

0.07 

3670 

0.19 

68 

0.63 

0.02 

0.63 

0.00 

0.62 

0.18 

0.07 

3680 

0.19 

69 

0.62 

0.02 

0.63 

0.00 

0.63 

0.18 

0.08 

3690 

0.20 

70 

0.62 

0.02 

0.63 

0.00 

0.63 

0.18 

0.08 

3700 

0.20 

71 

0.62 

0.02 

0.63 

0.00 

0.63 

0.18 

0.08 

3710 

0.20 

72 

0.62 

0.02 

0.63 

0.00 

0.63 

0.17 

0.09 

3720 

0.20 

73 

0.62 

0.02 

0.63 

0.00 

0.63 

0.17 

0.09 

3730 

0.20 

74 

0.61 

0.03 

0.62 

0.00 

0.63 

0.17 

0.10 

3740 

0.20 

75 

0.61 

0.03 

0.62 

0.00 

0.63 

0.17 

0.10 

3750 

0.21 

76 

0.61 

0.03 

0.62 

0.00 

0.63 

0.16 

0.10 

3760 

0.21 

77 

0.61 

0.03 

0.62 

0.00 

0.63 

0.16 

0.11 

3770 

0.21 

78 

0.60 

0.04 

0.62 

0.00 

0.63 

0.16 

0.11 

3780 

0.21 

79 

0.60 

0.04 

0.61 

0.01 

0.63 

0.15 

0.12 

3790 

0.21 

80 

0.59 

0.05 

0.61 

0.01 

063 

0.15 

0.12 

3800 

0.21 

81 

0.59 

0.05 

0.61 

0.01 

0.62 

0.15 

0.12 

3810 

0.21 

82 

0.58 

0.06 

0.61 

0.01 

0.62 

0.14 

0.13 

3820 

0.22 

83 

0.58 

0.06 

0.60 

0.02 

0.62 

0.14 

0.13 

3830 

0.22 

84 

0.57 

0.07 

0.60 

0.02 

0.62 

0.13 

0.14 

3840 

0.22 

85 

0.57 

0.07 

0.59 

0.03 

0.61 

0.13 

0.14 

3850 

0.22 

86 

0.56 

0.08 

0.59 

0.03 

0.61 

0.13 

0.14 

3860 

0.22 

87 

0.55 

0.09 

•  0.58 

0.03 

0.61 

0.12 

0.15 

3870 

0.23 

88 

0.55 

0.09 

0.58 

0.04 

0.61 

0.12 

0.15 

3880 

0.23 

89 

0.54 

0.10 

0.57 

0.04 

0.60 

0.11 

0.16 

3890 

0.23 

90 

0.54 

0.10 

0.57 

0.05 

0.60 

0.11 

0.16 

3900 

023 

91 

0.53 

0.11 

0.56 

0.05 

0.60 

0.11 

0.16 

3910 

0.23 

92 

0.52 

0.12 

0.55 

0.06 

0.59 

0.10 

0.17 

3920 

0.23 

93 

0.51 

0.12 

0.55 

0.06 

0.59 

0.10 

0.17 

3930 

0.24 

94 

0.51 

0.13 

0.54 

0.07 

0.58 

0.09 

0.18 

3940 

024 

95 

0.50 

0.13 

0.54 

0.07 

0.58 

0.09 

0.18 

3950 

0.24 

96 

0.49 

0.14 

0.53 

0.08 

0.57 

0.09 

0.18 

3960 

0.24 

97 

0.48 

0.15 

0.52 

0.09 

0.56 

0.08 

0.18 

3970 

0.24 

98 

0.47 

0.16 

0.51 

0.10 

0.56 

0.08 

0.19 

3980 

0.25 

99 

0.47 

0.17 

0.51 

0.10 

0.55 

0.07 

0.19 

3990 

0.25 

0.46 

0.17 

0.50    O.lll    0.55 

0.07 

0.19 

4000 

0.25 

331 


TABLE   CXXXVI. 


ARGUMENT,  Horizontal  Parallax. 


Hor.  Par 

0          1000       2OOO"        3OOO" 

Hor.  Par 

O"        10OO"     2OOO"     3OOO" 

6' 

o.oo 

272.27 

544.55 

816.82 

500 

136.14 

408.41 

680.69 

952.96 

10 

2.72 

274.99 

547.27 

819.54 

510 

138.86 

411.13 

683.41 

955.68 

20 

5.45 

277.72 

549.99 

822.27 

520 

141.58 

413.85 

686.13 

958.40 

30 

8.17 

28*0.44 

552.72 

824.99 

530 

144.31 

416.58 

688.86 

961.13 

40 

10.89 

283.17 

555.44 

827.72 

540 

147.03 

419.30 

691.58 

963.85 

50 

13.61 

285.89 

558.16 

830.44 

550 

149.75 

422.02 

694.30 

966.57 

60 

16.33 

288.61 

560.88 

833.16 

560 

152.47 

424.74 

697.02 

969.29 

70 

19.06 

291.33 

563.60 

835.88 

570 

155.19 

427.47 

699.74 

972.02 

80 

21.78 

294.06 

566.33 

838.61 

580 

157.92 

430.19 

702.47 

974.74 

90 

24.51 

296.78 

569.05 

841.33 

590 

160.64 

432.92 

705.19 

977.47 

100 

27.23 

299.50 

571.77 

844.05 

600 

163.36 

435.64 

707.91 

980.19 

110 

29.95 

302.22 

574.49 

846.77 

610 

166.08 

438.36 

710.63 

982.91 

120 

32.67 

304.95 

577.22 

849.49 

620 

168.81 

441.08 

713.36 

985.63 

130 

35.40 

307.67 

579.94 

852.22 

630 

171.53 

443.81 

716.08 

988.36 

140 

38.12 

310.40 

582.67 

854.94 

640 

174.26 

446.53 

718.81 

991.08 

150 

40.84 

313.12 

585.39 

857.66 

650 

176.98 

449.25 

721.53 

993.80 

160 

43.56 

315.84 

588.11 

860.38 

660 

179.70 

451.97 

724.25 

996.52 

170 

46.28 

318.56 

590.83 

863.11 

670 

182.42 

454.70 

726.97 

999.24 

180 

49.01 

321.29 

593.56 

865.83 

680 

185.15 

457.42 

729.70 

1001.97 

190 

51.73 

324.01 

596.28 

868.56 

690 

187.87 

460.15 

732.42 

1004.69 

200 

54.45 

326.73 

599.00 

871.28 

700 

190.59 

462.87 

735.14 

1007.41 

210 

57.17 

329.45 

601.72 

874.00 

710 

193.31 

465.59 

737.86 

1010.13 

220 

59.90 

322.17 

604.45 

876.72 

720 

196.04 

468.31 

740.58 

1012.86 

230 

62.62 

334.90 

607.17 

879.45 

730 

198.76 

471.04 

743.31 

1015.58 

240 

65.35 

337.62 

609.90 

882.17 

740 

201.49 

473.76 

746.03 

1018.31 

250 

68.07 

340.34 

612.62 

884.89 

750 

204.21 

476.48 

748.75 

1021.03 

260 

70.79 

343.06 

615.34 

887.61 

760 

206.93 

479.20 

751.47 

1023.75 

270 

73.51 

315.79 

618.06 

890.33 

770 

209.65 

481.92 

754.20 

1026.47 

280 

76.24 

348.51 

620.79 

893.06 

780 

212.38 

484.65 

756.92 

1029.20 

290 

78.96 

351.24 

623.51 

895.78 

790 

215.10 

487.37 

759.65 

1031.92 

300 

81.68 

353.96 

626.23 

898.50 

800 

217.82 

490.09 

762.37 

1034.64 

310 

84.40 

356.68 

628.95 

901.22 

810 

220.54 

492.81 

765.09 

1037.36 

320 

87.13 

359.40 

631.67 

903.95 

820 

223.26 

495.54 

767.81 

1040.08 

330 

89.85 

362.13 

634.40 

906.67 

830 

225.99 

498.26 

770.54 

1042.81 

310 

92.58 

364.85 

637.12 

909.40 

840 

228.71 

500.99 

773.26 

1045.53 

350 

95.30 

367.57 

639.84 

912.12 

850 

231.43 

503.71 

775.98 

1048.25 

360 

98.02 

370.29 

642.56 

914.84 

860 

234.15 

506.43 

778.70 

1050.97 

370 

100.74 

373.01 

645.29 

917.56 

870 

236.88 

509.15 

781.42 

1053.70 

380 

1  0.-i.  17 

878.741 

648.01 

920.29 

880 

239.60 

511.88 

784.15 

1056.42 

390 

106.19 

378.46 

650.74 

923.01 

890 

242.33 

514.60 

786.87 

1059.15 

400 

108.91 

381.18 

653.46 

925.73 

900 

245.05 

517.32 

789.59 

1061.87 

410 

111.63 

383.90 

656.18 

928.45 

910 

247.77 

520.04 

792.31 

1064.59 

420 

I14J5 

386.63 

658.90 

931.18 

920 

250.49 

522.76 

795.04 

1067.31 

480 

117.0S        389.35 

661.63 

933.90 

930 

253.22 

525.49 

797.76 

1070.04 

111) 

1  19.80 

392.08 

664.35 

936.63 

940 

255.94 

528.21 

800.49 

1072.76 

450 

nsja 

394.80 

667.07 

939.35 

950 

258.66 

530.93 

803.21 

1075.48 

400 

T,!.VJI 

397.52 

669.79 

942.07 

960 

261.38 

533.65 

805.93 

1078.20 

no 

I27.!)7 

400.24        672.52 

944.79 

970 

264.10 

536".38 

808.65 

1080.93 

HO 

180.69 

402.97        675.24 

947.52 

980 

266.83 

539.10 

811.38 

1083.65 

IM 

188.42 

405.69        677.97 

950.24 

990 

269.55 

541.83 

814.10 

1086.38 

BOO 

188.14 

408.41 

680.69 

952.96 

1000 

272.27 

54  1.55 

81(i.H2 

1089.10 

332 


The  Latitude  =  A  sin  y  -|-  B  cos  y  -f-  C,  as  given  on  page  12,  Introduction,  may  be  put  in  the  form, 

Latitude  =  18500"  sin  y  -\-  A1  sin  y  -f  B  cos  y  +  G, 

in  which  A'  only  diflers  from  A  in  that  the  constant  900"  is  subtracted  instead  of  the  constant  17600"  added.  Com- 
pute 18500"  sin  y  for  each  noon  and  midnight  from  Table  CXXXVII. ;  compute  A1  sin  y  +  B  cos  y  -f-  C'for  each 
noon,  using  five  place  decimals,  and  interpolate  to  midnight.  In  Table  CXXXVII.,  the  columns  headed  P.  P.  are 
the  proportional  parts  for  the  seconds  of  y. 


TABLE  CXXXTII.    ARGUMENT  77. 


Equation  =  18500"  sin  y. 


y 

18O°— 

0°+ 

181°— 

r+ 

i  ssr— 

S°+ 

183°— 

3°+ 

184°— 
4°+ 

185°— 

5°+ 

!/ 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.  P. 

d 

0    0    0.00 

O.l  HI 

0°   5  22'.87 

6".oo 

0      t    M 
0  10  45.64 

0.00 

0°16    8.22 

6'.oo 

0  2l'  30,19 

0.00 

II  21. 

o.do 

60 

i 

0    5.38 

0.09 

5  28.25 

0.09 

10  51.02 

0.09 

16  1360 

0.09 

21  35.86 

0.09 

26  57.74 

0.0!) 

69 

2 

0  10.76 

0.18 

5  33.63 

0.18 

10  56.40 

0.18 

16  18.98 

0.18 

21  41.23 

0.18 

27     3.1H      0.1* 

58 

3 

0  16.14 

OJJ7 

5  39.01 

0.27 

11     1.78 

0.27 

16  24.35 

0.27 

21  46.60 

0.27 

27     8.46      0.27 

57 

4 

0  21.  .'2 

0.36 

5  44.39 

o.:*6 

11     7.16 

0.36 

16  29.72 

0.36 

21  51.97      (1.36 

27    13.i-2      H.:'<i 

Sti 

5 

0  26.!K) 

0.45 

5  49.77 

0.45 

11  12.53 

0.45 

16  35.09 

0.45 

21  57.33     0.45 

27  19  1.-      (1.45 

.  ,.) 

G 

0    0  32.28 

0.54 

0    5  55.15 

0.54 

0  11  17.91 

0.54 

0  16  40.47 

0.54 

0  22    2.70     0.53 

0  27  21.51     (1.5:! 

51 

7 

0  37.6ti 

0.63 

6    0.53 

0.63 

11  23.29 

0.63 

16  45.85 

0.63 

22    8.07     0.62 

27  2!  '.9t  I      (1.62 

63 

8 

0  43.04!     0.72 

G     5.91 

0.72 

11  28.67 

0.72 

16  51.22 

0.72 

22  13.44 

0.71 

27  35.26      0.71 

52 

!) 

0  4?-.l2 

0.81 

6  11.2!) 

0.81 

11  34.05 

0.81 

16  56.59 

0.81 

22  18.80 

0.80 

27  40.62     0.80 

51 

10 

0  53.81 

0.90 

6  16.67 

0.90 

11  39.42 

0.90 

17    1.96 

0.90 

22  24.17 

0.89 

27  45.98 

0.8!) 

50 

11 

0    0  50.19 

0.99 

0    6  22.05 

0.99 

0  11  44.80 

0.99 

0  17    7.34 

(1.99 

0  22  29.54 

0.98 

0  27  51  .34 

0.98 

49 

12 

1     4.57 

1.08 

6  27.43 

1.08 

11  50.18 

1.08 

17  12.71 

1.08 

22  34  .'91 

1.07 

27  56.70 

1.07 

48 

13 

1     <J.'J5 

1.17 

6  32.81 

1.17 

11   55.51  i 

1.17 

17  18.08 

1.17 

22  40.28 

1.16 

28  52.06 

1  16 

47 

14 

15.33 

1.96 

6  38.19 

1.26 

12  00.94 

1.26 

17  23.45 

1.26 

22  45.64 

1  .25 

28  57.12 

i  as 

46 

15 

20.72 

1.35 

6  43.57 

1.35 

12    6.31 

1.35 

17  28.82 

1.35 

22  51.00 

1.34 

28  12.78 

1.34 

45 

16 

0        2610 

1.44 

0    6  48.95 

1.44 

0  12  11.69 

1.44 

0  17  34.20 

1.44 

0  22  56.37 

1.43 

0  28  18.14 

1,12 

44 

17 

31.48 

1.53 

(i  51.33 

1  .53 

12  17.07 

1.53 

17  39.57 

1.53 

23     1.74 

1.52 

28  23.50 

1  51 

43 

18 

:t6.86 

1.62 

Ii  59.71 

1.62 

12  22.45 

1.62 

17  44.94 

1.62 

23    7.11 

1.61 

2*  28.H6 

1  (ill 

42 

1!) 

43.24 

1.71 

7     5.09 

1.72 

12  27.83 

1.71 

17  50.31 

1.71 

23  12.47 

1.70 

28  34.22 

1.69 

41 

2 

47.63 

1  .79 

7  KI.47 

1.78 

12  33.20 

1.79 

17  55.68 

1.79 

23   17.  Si 

1.79 

28  39.57 

l.Tti 

4(1 

21 

0        53.01 

1.88 

0    7  15.85 

1.88 

0  12  38.58 

1.88 

0  18    1.06 

1.88 

0  23  23.20 

1.88 

0  28  44.93 

1.87 

39 

22 

58.39 

1.97 

7  21.23 

1.97 

12  43.96 

1.97 

18    6.43      1.97 

23  28.57 

1.97 

28  5029 

I.!i6 

38 

23 

2    3.77 

2.06 

7  26.61      2.06 

12  49.34 

2.06 

18  11.80 

2.06 

23  33.94 

2.06 

2*  55.65 

2.05 

37 

24 

2    915,     2.15 

7  31.99 

8.15 

12  54.71 

2.15 

18  17.17 

2.15 

23  39.30     2.15 

29     Mil 

2.14 

36 

25 

2  14.54,     2.24 

7  37.37 

2.24 

,13    0.08 

2.24 

18  22.54 

2.24 

23  44.66     2.24 

29    6.36 

223 

35 

26 

0    2  19.921     2.33 

0    7  42.75 

2.33 

0  13    :,,I6 

2.33 

0  18  27.92     2.33 

0  23  5(1.03 

2.32 

0  29  11.72 

2.32 

31 

27 

2  95.30]     2.42 

7  48.13 

2.42 

13  10.84 

2.42 

18  33.2!)     2.42 

23  55.40 

2.41 

2!)  17.08 

211 

33 

28 

2  3'  >.6*      2.51 

7  53.51 

2.51 

13  16.22 

2.51 

18  3*.<i6      2.51 

24     077 

2.50 

29  22  1  1 

2.50 

39 

29 

2  36.06      2.6(1 

7  58.89 

2.60 

13  21.59 

2.60 

18  44.03     2.60 

21     6.13      2.59 

29  27.80      2.5!  i 

31 

30 

3  41.44 

2.C9 

8    4.27 

2.69 

13  26.96 

2.69 

18  49.40 

2.69 

24  11.49 

2.68 

2933.15     26- 

30 

31 

0    2  46.82 

2.78 

0    8    9.65 

2.78 

0  13  32.34 

2.78 

0  18  54.78 

2.78 

0  24  16.86 

2.77 

0  29  38.51      277 

98 

a 

2  52.2.1 

2.87 

8  15.03 

187 

13  37.72 

2.87 

19     (1.15      2.H7 

2422.23      2  Hi 

2!)  43.87      2.1-6 

28 

33 

2  57.58 

2.:Ki 

8  20.41 

2.96 

13  43.10 

2.96 

19    5.52     2.!!6 

24  27.60      295 

29  49.23      2!  S 

27 

34 

3    2.97 

3.05 

8  25.79 

3.05 

13  4*.47 

3.05 

19  10.89!     3.H5 

24  32.961     3.04 

29  54.5f      :;.(  1 

96 

35 

3    8.36 

3.14 

8  31.17 

3.14 

13  53.84 

3.14 

19  16.26 

3.14 

24  38.32 

3.13 

29  59.93.     3.13 

25 

36 

0    3  13.74 

3.23 

0    8  36.55 

3.23 

0  13  59.22 

3.23 

0  19  21.63 

3.23 

0  24  43.69 

3.22 

0  30    5.29     3.21 

24 

37 

3  19.12 

8.39 

8  41.93 

3.32 

14    4.60 

3.32 

19  27.IH 

332 

24  49.06 

331 

30  10.65      3.3o 

23 

3d 

3  24.50 

3.41 

8  47.31 

3.41 

14     9.98 

341 

19  32.37 

341 

24  54.42 

3.411 

30   16.01       3.3!) 

22 

ao 

3  29."*      3.50 

8  52.69      3.5(1 

14  15.35 

3.50 

19  37.74 

3.50 

24  59.7* 

3.49 

30  21.36     3.48 

21 

40 

3  35.2ti      3.5:  i 

8  58.07 

3.59 

14  20.72 

3.59 

19  43.11 

8.68 

25    5.14 

3.5* 

30  26.71      3.57 

20 

41 

0     3  40.64      36* 

0    9    3.45 

3.68 

0  14  26.K 

3.68 

0  19  48.48 

3.67 

(1  25  10.51 

3.67 

0  30  32.07      366 

19 

42 

3  46.H2      3.77 

9    8.83 

3.77 

14  31.48 

3.77 

19  53.85 

8.76 

25  15.87 

3.76 

30  37.43      3.75 

18 

41! 

3  51.40      3-ii 

9  14.21 

3.86 

14  36.86 

3.86 

19  59.2S 

3.85 

25  21.23 

3.85 

30  47.7*      3*4 

17 

44 

3  56.78      3.H5 

II   19.59 

3.95 

14  42.23 

395 

20    4.5!) 

3.94 

25  21  i  .59 

3.94 

30  4-  i:1 

3.93 

16 

4:> 

4    2.16     4.04 

9  24.96 

4.04 

14  47.60 

4.1)4 

20    9.9< 

4.03 

25  31.95 

4.03 

30  53.48 

4.02 

15 

46 

0     4     7.51 

4.13 

0    9  3(1.31 

4.13 

0  14  529- 

4.13 

0  20  15.33     4.12 

0  25  37.32 

4.11 

0  30  5-  -4 

4.1(1 

14 

47 

4  12.92 

4.22 

9  :!572 

4.22 

14  58.36 

4.22 

20  2(1.70      4.21 

19.68     420 

31      421 

4.19 

13 

1- 

4    1- 

4.31 

9  41.10 

4.31 

15     3.74 

4.31 

20  26.07      4.3(1 

25  48.04'     4.2!) 

31     9.55 

4.2- 

12 

49 

4  23.68      4.40 

9  46.48 

4.40 

15    9.11 

4.40 

20  31.11      4.39 

25  53  HI 

4.38 

31    14.90 

4.37 

11 

E  i 

i  9Mn 

4.48 

9  51.86 

4.48 

15  14.48 

4.48 

20  36.81 

4.47 

25  5*.76 

4.47 

31    211.2.- 

4.46 

10 

:,i 

0    4  34.45 

4.57 

0    9  57.24 

4.57 

0  15  19.86 

4.57 

0  20  42.16 

4.56 

0  26    4  13 

4.56 

0  31  25.61 

4.55 

9 

:,-.' 

4  39.83 

466 

10    2.62     4.66 

15  25.24 

4.66 

20  47.5.- 

4£t 

2li     9,19 

4.65 

31    30.97      4.64 

8 

N 

4  45.21 

4.75 

10       *OI 

4.75 

15   3  Mil 

4.75 

20  52.92     4.74 

96  M  - 

4.74 

31   36.32      473 

7 

54 

4  5.1.5. 

1  -1 

10  13.3.-       1  -1 

15  35.96 

1  -1 

20  5-29     1  -:; 

26  2021 

I  33 

31    41  67      4*2 

6 

H 

4  55.97 

i:>3 

10  lr.75      4.93 

15  ll  .::: 

4.93 

21     3.65      4.92 

2(,  96.61 

1.92 

31  47.02;     4.91 

5 

56 

0    5     l.r 

5.02 

0  10  24.13     5.02 

0  15  46.7: 

5.02 

0  21      9.02      5.111 

0  26  3094 

501 

o  31  52.38     5.00 

4 

B7 

5    6.73 

5.11 

ID  29.51       5.11 

15  52  II 

511 

21    14  39      5  10 

21,   36.311 

5.|o 

31   57.73 

6.08 

3 

1    <>8 

.-.  rj  ii 

5  2  > 

10  34  - 

5JH 

15  57  1- 

21    19.76      5  19 

26  41.66      5.19 

32     30- 

5.  1  - 

2 

:,'i 

5  17.4! 

5.29 

in    lo  '.'7 

5.29 

.  16    8.85 

52> 

21   2513      52- 

21,    I7i>2 

5.2- 

32      -   I" 

5.27 

1 

1,1 

5  22.H7|     5.38 

10  45.64 

5.38 

16    8.22 

.-..:;- 

21  30.49'     5.37 

26  53.38 

5.37 

32  13.78 

5.36 

0 

179'+ 

178°+ 

177°+ 

176'+ 

I7.T+ 

174°+ 

.'/ 

3.19°— 

338°— 

337'— 

3.16°— 

3.15°- 

3.11°— 

y 

334 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  sin  jf. 


18G°— 

187°— 

188°— 

189°— 

19O°— 

191°— 

y 

6°+ 

7°+ 

8°+ 

9°+ 

10°+ 

11°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

d 

0°  32   1378 

o!bo 

0  37  34".58 

0.00 

0  42'  54".70 

0.00 

0  48  14".03 

0.00 

O        1          tl 

0  53  32.49 

0.00 

0  58  49.97 

o!bo 

60 

i 

32  19.14 

0.09 

37  39.92 

0.09 

43    0.03 

0.09 

48  19.35 

0.09 

53  37.79 

0.09 

58  55.26 

0.09 

59 

2 

32  24.49 

0.18 

37  45.26 

0.18 

43    5.36 

0.18 

48  24.67 

0.18 

53  43.09 

0.18 

59     0.54 

0.18 

58 

3 

3'2  29.84 

0.27 

37  50.60 

0.27 

43  10.69 

0.27 

48  29.98 

0.27 

53  48.39 

0.27 

59    5.82 

0.27 

57 

4 

32  35.19 

0.36 

37  55.94 

0.36 

43  16.02 

0.36 

48  35.29 

0.36 

53  53.69 

0.36 

59  11.10 

0.36 

56 

5 

32  40.54 

0.45 

38     1.28 

0.45 

43  21.34 

0.45 

48  40.60 

0.45 

53  58.99 

0.45 

59  16.38 

0.44 

55 

6 

0  32  45.89 

0.53 

0  38    662 

0.53 

0  43  26.67 

0.53 

0  48  45.92 

0.53 

0  54    4.29 

0.53 

0  59  21.66 

0.53 

54 

7 

3-2  51.24 

0.62 

38  11.96 

0.62 

43  32.00 

0.6-2 

48  51.24 

0.62 

54     9.59 

0.62 

59  S-G.'.  4 

0.62 

53 

8 

32  56.59 

0.71 

38  17.30 

0.71 

43  37.33 

0.71 

48  56.55 

0.71 

54  14.89 

0.71 

59  32.22     0.71 

52 

9 

33     1.94 

0.80 

38  22.64 

0.80 

43  42.66 

0.80 

49     1.86 

0.80 

54  20.19 

0.80 

59  37.50 

0.79 

51 

10 

33    7.29 

0.89 

38  27.98 

0.89 

43  47.98 

0.89 

49     7.17 

0.89 

54  25.48 

0.88 

59  42.78 

0.88 

50 

11 

0  33  1-2.64 

0.98 

0  38  33.32 

0.98 

0  43  53.31 

0.98 

0  49  12.49 

0.98 

0  54  30.78 

0.97 

0  59  48.06 

0.97 

49 

12 

33  17.99 

1.07 

38  38.66 

1.07 

43  58.64 

1.07 

49  17.80 

1.07 

54  36.08 

J.06 

59  53.34 

1.06 

48 

13 

33  23.34 

1.16 

38  44.00 

1.16 

44     3.97 

1.16 

49  23.11 

1.16 

54  41.38 

1.15 

59  58.62 

1.15 

47 

14 

33  2^.69 

1.25 

38  49.31 

.25 

44     9.29 

1.25 

49  28.42 

1.25 

54  46.67 

1.24 

1     0    3.90 

1.23 

46 

15 

33  34.04 

1.34 

38  54.68 

.34 

44  14.61 

1.34 

49  33.73 

1.34 

54  51.96 

1.33 

0     9.18 

1.32 

45 

16 

0  33  39.39 

1.42 

0  39    0.02 

.42 

0  44  19.94 

1.42 

0  49  39.04 

1.42 

0  54  57.26 

1.41 

1     0  14.46 

1.41 

44 

17 

33  4474 

1.51 

39    5.36        .51 

44  25.27 

1.51 

49  44.35 

1.51 

55    2.56 

1.50 

0  19.74 

1.50 

43 

18 

33  50.09 

1.60 

39  10.70        .6,) 

44  30.60 

1.60" 

49  49.66 

1.60 

55     7.85 

1.59 

0  25.H2 

1.58 

42 

19 

33  55.44 

1.69 

39  16.J4I       .69 

44  35.:>-2 

1.6.) 

4J  54.97 

1.6U 

55  1U.14 

1.6c 

0  ;:,.~. 

1.67 

41 

20 

34    0.78 

1.7d 

39  21.37 

.78 

44  41.24 

1.77 

50     0.28 

1.77 

55  18.43 

1.76 

0  35.56 

1.76 

40 

21 

0  34    6.23 

1.87 

0  39  26.71 

1.87 

0  44  4U.57 

1.86 

0  50     5.51; 

1.86 

0  55  23.73 

1.85 

1     0  40.84 

1.85 

39 

22 

34  11.58 

1.96 

39  32.05 

1.96 

44  51.90 

1.95 

50  10.90 

1.95 

55  29.03 

1.94 

0  46.12 

1.94 

38 

23 

34  16-93 

2.05 

39  37.39 

2.05 

44  57.22 

2.04 

50  16.21 

2.04 

55  3432 

2.03 

0  SI-.40 

o  03 

37 

24 

34  22.28 

2.14 

3J  42.72 

2.14 

45     2.54 

2.13 

50  21.52 

2.13 

f5  39.61 

2.12 

0  uO.67 

2.11 

30 

25 

34  27.52     2.23 

39  48.05 

22.J 

45     7.86 

2.22 

50  26.83 

222 

55  44.1>0 

2.21 

1     1.P4 

2.2! 

35 

26 

0  34  32.88     2.31 

0  39  53.39 

2.31 

0  45  13.19 

230 

0  50  32.14 

2.30 

0  55  £0.20 

2.29 

1     1     7.92     999 

T4 

> 

27 

34  38.2:i 

2.40 

39  58.731     2.40 

45  18.51 

2.39 

50  37.45 

2.39 

55  55.49 

X  'A? 

i  12.;.,, 

fc.oS 

b3 

28 

34  43.58 

249 

40    4.07 

2.49 

45  23.83 

2.48 

50  42.76 

2.48 

56    0.78 

2.47 

1   17.77 

2.46 

32 

29 

34  48.92      2.58 

40     9.40 

2.58 

45  29.15 

2.57 

50  48.07 

2.57 

56    6.07 

2.56 

1  23.04 

2.55 

31 

30 

34  54.26 

2.67 

40  14.73 

2.67 

45  34.47 

2.66 

50  53.37 

2.66 

56  11.36 

2.65 

1  28.31 

2.64 

30 

31 

0  34  59.61 

2.76 

0  40  20.07 

2.76 

0  45  39.8  . 

2.75 

0  50  58.68 

2.75 

0  56  166.' 

274 

1     1  P5.5S. 

£.73 

29 

32 

35    4.  .16 

•2.85 

4j  25.41 

2.85 

45  45.1, 

2.84 

51     3.99 

2.84 

56  Wl.1'4 

a.o3 

1  38.S6 

2.o2 

28 

33 

35  10.31 

2.94 

40  30.75 

2.94 

45  50.44 

2.93 

51     9.30 

2.93 

56  27.23 

2.92 

1  4413 

2.91 

27 

34 

35  15.65 

3.03 

40  3608 

3.03 

45  55.7o 

3.02 

51  14.61 

3.02 

56  32.52 

3.01 

1  49.40 

3.00 

26 

35 

35  20.99 

3.12 

40  41.41 

3.12 

46     1.08 

3.11 

51  19.91 

3.11 

56  37.81 

3.10 

1  54.67 

3.09 

25 

36 

0  35  2634 

3.21 

0  40  46.75 

3.20 

0  46    6.4  „ 

3.19 

0  51  25.22 

3.19 

0  56  43.10 

3.19 

1     1  59.95 

3.18 

24 

37 

35  31.69 

3.30 

40  52.09 

3.29 

46  11.72 

3.28 

51  30.53 

3.27 

56  48.39 

3.27 

2    522 

3.27 

23 

38 

35  37.04 

3.39 

40  57.42 

3.38 

46  17.04 

3.37 

51  35.84 

3.36 

56  53.68 

3.36 

2  10.49 

3.35 

£2 

39 

35  42.38 

348 

41     275 

3.47 

46  22.36 

3.46 

51  41.14 

3.45 

CG  58.97      3.45 

2  15.76 

3.43 

21 

40 

35  47.72 

3.57 

41     8.U8 

3.56 

46  27.68 

3.55 

51  46.44 

3.54 

57     4.26 

3.03 

2  21.03 

3.51 

20 

41 

0  35  53.07 

3.66 

0  41  13.42 

3.65 

0  46  33.00 

3.64 

0  51  51.75 

3.63 

0  57     9.55 

3.62 

1     2  26.30 

3.60 

19 

42 

35  58.42 

3.75 

41  18.75 

3.74 

46  38.32 

•   3.73 

51  57.06 

3.72 

57  14.84 

3.71 

2  31.57 

3.69 

18 

43 

36    3.76 

3.84 

41  24.08 

3.83 

46  43.64 

3.82 

52    2.36 

3.81 

57  20.13 

3.79 

2  36.84 

3.57 

17 

44 

36    9.10 

3.93 

41  29.41 

3.92 

46  48.!»6 

3.91 

52    7.66 

3.90 

57  25.42 

3.68 

2  42.11 

3.66 

16 

45 

36  14.44 

4.02 

41  34.74 

4.01 

46  54.28 

4.00 

52  12.96 

3.99 

57  30.70 

3.97 

2  47.38 

3.95 

15 

46 

0  36  19.79 

4.10 

0  41  40.08 

4.09 

0  46  59.60 

4.08 

0  52  18.27 

4.07 

0  57  35.91 

4.05 

1     2  52.65 

4.04 

14 

47 

36  25.14 

4.19 

41  45.41 

4.18 

47     4.92 

4.17 

52  23.58 

4.16 

57  41.28 

4.14 

2  57.92 

4.13 

13 

48 

36  30.48 

4.28 

41  50.74 

4.27 

47  10.24 

4.26 

52  28.88 

4.25 

57  46.57 

4.23 

3    3.19 

4.22 

12 

49 

36  35.82 

4.37 

41  56.07 

4.36 

47  15.56 

4.35 

52  34.18 

4.34 

57  51.85 

4.32 

3    8.46 

4.31 

11 

50 

36  41.16 

4.46 

42     1.40 

4.45 

47  20.87 

4.43 

52  39.48 

4.43 

57  57.13 

4.41 

3  13.72 

4.39 

10 

51 

0  36  46.51 

4.55 

0  42    6.73 

4.54 

0  47  26.19 

4.52 

0  52  44.79 

4.52 

0  58    2.42 

4.50 

1     3  18.99 

4.48 

9 

52 

36  51.85 

4.64 

42  12.06 

4.63 

47  31.51 

4.61 

52  50.09 

4.61 

58     7.71 

4.59 

3  24.26 

4.57 

8 

53 

36  57.19 

4.73 

42  17.3'J 

4.72 

47  36.83 

4.70 

52  55.39 

4.70 

58  12.99 

4.68 

3  29.53 

4.65 

7 

54 

37    ;2.53 

4.82 

42  22.72 

4.81 

47  42.14 

4.79 

53    0.69 

4.79 

58  18.27 

4.77 

3  34.79 

4.74 

6 

55 

37     7.87 

4.91 

42  28.05 

4.90 

47  47.45 

4.88 

53    5.99 

4.88 

58  23.55 

4.85 

3  40.05 

4.83 

5 

56 

0  37  13.22 

4.99 

0  42  33.36 

4.98 

0  47  52.77 

4.% 

0  53  11.29 

4.96 

0  58  28.84 

4.94 

1     3  45.32 

4.92 

4 

57 

37  18.56 

5.08 

42  38.71 

5.07 

47  58.0'J 

5.05 

53  16.59     5.05 

58  34.13 

5.03 

3  50.59 

5.01 

3 

58 

37  23.90 

5.17 

42  44.04 

5.16 

48    3.41 

5.14 

53  21.89     5.14 

58  39.41 

5.12 

3  55.85 

5.09 

2 

59 

37  29.24 

5.26 

42  49.37;     5.25 

48    8.72 

5.23 

53  27.19     5.23 

58  44.69 

5.20 

4     1.11 

5.18 

1 

60 

37  34.58      5.35 

42  54.70     5.34 

48  14.03 

5.32 

53  32.491     5.31 

58  49.97 

5.29 

4    6.37 

5.27 

0 

173°+ 

172°+ 

171°+ 

I7O°+ 

169°+ 

168°+ 

y 

353°— 

352°— 

351°- 

35O°— 

349°— 

348°— 

y 

335 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  sin  g. 


192°  - 

193°— 

194°- 

195"- 

196°— 

197° 

y 

ia°+ 

13°+ 

14°+ 

15°+ 

16°+ 

17°+ 

y 

\ 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

0 

1°   4    6".37 

o'.oo 

f   tf  21.59 

o".oo 

1°  14'  35.55 

0.00 

1°  19  48'.17 

6'.oo 

1°  24  59.29 

0.00 

130     :.-- 

0.00 

60' 

1 

4  11.64 

0.09 

9  26.84 

0.09 

14  40.77 

0.09 

19  53.37 

0.09 

25    4.47 

0.09 

30  14.03 

0.0!) 

50 

2 

4  16.90 

0.18 

9  32.08 

0.18 

14  45.99 

0.18 

19  58.57 

0.18 

25     0.61 

0.18 

30   10.  1* 

0.1- 

58 

3 

4  22.16 

0.27 

9  37.32 

0.26 

14  51.21 

0.26 

20    3.77 

0.26 

25  14.81 

0.26 

30  24.32 

0.26 

57 

4 

4  27.42 

0.36 

9  42.56 

0.35 

14  56.43 

0.34 

20    8.97 

0.35 

25  19.98,     0.34 

30  29.46 

0.34 

56 

5 

4  32.68 

0.44 

9  47.80 

0.43 

15    1.65 

0.43 

20  14.16 

0.43 

25  25.15      0.43 

30  34.60 

0.43 

55 

6 

1    4  37.95 

0.53 

1    9  53.04 

0.52 

1  15    6.87 

0.51 

1  20  19.36 

0.52 

1  25  30.32      0.52 

1  30  3!  1.75 

0.52 

54 

7 

4  43.21 

0.62 

9  58.28 

0.61 

15  12.09 

0.60 

20  24.56 

0.61 

25  35.49      0.61 

30  44.8!) 

0.60 

53 

8 

4  48.47 

0.71 

10    3.52 

0.69 

15  17.31 

0.69 

20  207.1 

0.69 

25  40.66     0.69 

30  50.03 

0.69 

59 

9 

4  53.73 

0.79 

10    8.76 

0.78 

15  22.53 

0.78 

20  34.94 

0.77 

25  45,-:! 

0.77 

30  55.17 

0.7* 

51 

10 

4  58.99 

0.88 

10  14.00 

0.87 

15  27.74 

0.87 

20  40.13 

0.86 

25  51.00 

0.86 

31     0.31 

0.86 

50 

11 

1    5    4.25 

0.97 

1  10  19.24 

0.96 

1  15  32.96 

0.96 

1  20  45.32     0.94 

1  25  56.17 

0.94 

1  31     5.45 

0.94 

49 

12 

5    9.51 

.06 

10  24.48 

1.05 

15  38.18 

1.04 

20  50.51 

1.03 

26    1.34 

1.03 

31  10.59 

1.02 

48 

13 

5  14.77 

.15 

10  29.72 

1.14 

15  43.40 

1.13 

20  55.70 

1.12 

26    6.51      1.12 

31  15.73 

1.11 

47 

14 

5  20.03 

.33 

10  34.96 

1.23 

15  4*.  62 

1.22 

21     0.89 

1.21 

26  11.67     1.20 

31  20.87 

1.20 

46 

15 

5  25.29 

.32 

10  40.20 

1.31 

15  53.83 

1.30 

21    6.08 

1.30 

26  16.83     1.29 

31  26.01 

1  .2* 

45 

16 

1    5  30.55 

.41 

1  10  45.44 

1.40 

1  15  59.05 

1.38 

1  21  11.27     1.39 

1  26  22.00 

1.38 

1  31  31.15 

1.36 

44 

17 

5  35.81 

.49 

10  50.68 

1.48 

16    4.27 

1.47 

21  16.46     1.47 

2627.17      1.46 

31  36.29 

1.4.1 

43 

18 

5  41.07 

.58 

10  55.92 

1.57 

16    9.49 

1.56 

21  21.65     1.56 

26  32.33      1.54 

31  41.45 

1.53 

42 

19 

5  46.33 

.67 

11     1.16 

1.66 

16  14.70 

1.65 

21  26.84'     1.65 

26  37.49 

1.63 

31  46.57 

168 

41 

20 

5  51.58 

.75 

11    6.39 

1.74 

16  19.91 

1.74 

21  32.03 

1.73 

26  42.65 

1.72 

:n  51.71 

1.71 

40 

21 

1    5  50.84 

1.84 

l  11  in;:! 

1.82 

1  16  25.13 

1.82 

1  21  37.22     1.82 

1  26  47.82 

1.80 

1  31  56.84 

1.80 

39 

22 

6    2.10 

1.93 

11  16.87 

1.91 

16  30.35 

1.90 

21  42.41      1.90 

26  52.00 

1133 

32    i  v- 

1.88 

38 

23 

6    7.36 

2.01 

11  22.11 

2.00 

16  35.56 

1.99 

21  47.60     1.99 

26  5H.I5 

1.07 

32     7.1  a 

1.07 

37 

24 

6  12.61 

2.10 

11  27.34 

2.0!) 

16  40.77 

2.07 

21  52.79 

2.07 

27     3.31 

2.116 

32  12.25 

2.06 

36 

25 

6  17.86 

2.19 

11  32.57 

2.18 

16  45.98 

2.16 

21  57.97     2.16 

27    8.47 

2.15 

32  17.38 

2.11 

36 

26 

1    6  23.12 

2.28 

1  11  37.81 

2.26 

1  16  51.19 

2.25 

1  22    3.16     2.24 

1  27  13.64     2.23 

1  32  22.52     2.23 

34  I 

27 

6  2-).3-< 

2.37 

11  43.04 

US 

16  56.40 

2.33 

22    8.45     2.33 

27  !*,-()      2.32 

32  27.66      2.32 

33 

28 

6  33.63 

2.45 

11  48.27 

2.44 

17     1.61 

2.42 

22  13.54      2.42 

27  23.06     2.41 

32  32.80     2.40 

32 

2!) 

6  38.88 

2.54 

11  53.50 

853 

17    6.82 

2.51 

22  18.73     2.51 

27  20.12     2.49 

32  37.93     2.49 

31 

30 

6  44.13 

2.63 

11  58.73 

2.62 

17  12.03 

2.60 

22  23.91      2.50 

27  34.28     2.58 

32  43.06     2.57 

30 

31 

1     6  49.39 

2.72 

1  12    3.96 

2.70 

1  17  17.24 

2.68 

1  22  29.10     2.67 

1  27  39.44     2.66 

1  32  48.20     2.66 

99 

32 

6  54.64 

2.81 

12    9.19     2.79 

17  22.45 

2.77 

22  34.29     2.76 

27  44.6(1      2.75 

32  53  33    a.7.1 

2* 

33 

6  59.89 

2.90 

12  14.42     2.87 

17  27.66 

2.86 

22  394*      2.*4 

27  49.76      2-4 

::'.'  58.46     2  -  1 

27 

34 

7    5.14 

2.!)!) 

12  19.65 

2.96 

17  32.87 

2.05 

22  4466 

2.03 

27  54.92     2.02 

33     3.59      2.!'2 

96 

35 

7  J0.39 

3.07 

1224.88 

3.04 

17  38.07 

3.03 

22  49.84 

3.02 

28     0.07 

3.01 

33    b'.72      3.00 

25 

36 

1    7  15.65 

3.16 

I  12  30.11 

3.13 

1  17  43.28 

3.12 

1  22  55.03 

3.11 

1  28     5.23 

3.00 

1    33   13..-5      3.1,0 

24 

37 

7  2H.90 

3.2.1 

12  35.34 

3.22 

17  48.49 

3.21 

23    0.21 

3.1! 

28  10.39     3.18 

33    1*.'.'*      3.18 

93 

38 

7  26.1.1 

3.33 

12  4057 

3.31 

17  53.70 

3.30 

23    5.39 

3.28 

28  15.55     3-.M 

33  24.11 

326 

22 

3!) 

7  31.4(1 

Ml 

12    l.l.-iil 

3.40 

17  58.91 

3.30 

23  10.57 

3.36 

28  20.70 

3.38 

33  20.24 

3.34 

21 

40 

7  36.6.1 

3.50 

12  51.03 

3.49 

18    4.11 

3.47 

23  15.75 

3.45 

28  25.85 

3.44 

33  34.36'     3.42 

20 

41 

1     7  41.00 

3.59 

1  12  56.26 

3.58 

1  18    9.32 

3.55 

1  23  20.93 

3.54 

1  28  31.01      3.5-. 

1   33  30.40      3.50 

19 

42 

7  47.15 

3.68 

13     1.49 

3.66 

18  14.53 

3.64 

23  26.1  1 

s.« 

28  36.17 

3.61 

33  44.62     350 

18 

43 

7  52,10 

8.76 

13    6.72 

3.75 

18  19.74 

373 

at  HI  .2! 

3.6! 

28  41.33 

3.71 

33  49.7.1      36- 

17 

44 

7  57.6.1 

3.85 

13  11.95 

3.84 

18  24.94 

3.82 

at  3647 

3.77 

2.-  46  1- 

3178 

33  54r7      3.77 

16 

45 

8    2.90 

3.94 

13  17.18 

3.92 

18  30.14 

3.91 

23  41.65 

3.86 

2*  51.63 

3.87 

33  50.0!)      3  -:. 

15 

46 

1    8    8.15 

4.03 

1  13  22.41 

4.01 

l  18  :r>.:i5 

3.0: 

1  23  46.83 

3.0." 

1    2-  56.7! 

3.o< 

1   34     5.12      3  :  1 

14 

47 

8  13.40 

4.11 

i:i  -'7.1,1 

LOB 

1*  40,K 

4(i- 

23  52111 

4.04 

20     1.95      4.04 

31   1(1,25      4.l'2 

13 

IB 

8  18.65 

4.20 

13  32-7 

4.18 

1-    15.71 

4.17 

•.'::  57  r. 

4.1: 

29     7.10      4.1! 

34    15.37      4.11 

12 

49 

8  2.1.!  li 

4.29 

1:1  36  M 

4.27 

1-  :  

4.26 

24    2.37 

4.22 

20    1225      4.21 

31  211.49      4.2H 

11 

u 

-   -  '  1  1 

4.38 

13  43.32 

4.36 

18  .Ki.lG      4.34 

24    7.54 

4.31 

29  17.40     4.30 

34  25.61 

4.2* 

10 

51 

1    8  :u.:i: 

4.47 

1    13  4-5: 

4.44 

1   IP     1.37      4.42 

1  24  1272 

4.40 

1  29  22  5: 

4.:« 

1    31  3(1.74      4.37 

9 

52 

8  39.64 

4.55 

13  53.7*      .1.53 

111     (i.57      4.51 

24   17.!K) 

4  r 

20  277H      4  1- 

34  35.H6      4.4.1 

8 

BO 

-   II  - 

4.64 

13  5!UHI      4.1,2 

111  11.77 

46' 

21  23HM      4,1* 

20  32,-5       1  57 

34   40.9*      451 

7 

51 

4.73 

14     422      .17, 

10  16.07 

46- 

24  28.25      4  m 

20  ::-  mi      46i 

:  I   46  Id      462 

6 

E6 

8  55.37 

l.-l 

14     '.'II       17- 

19  22.17      477 

21  33.4S      17: 

2'.i  43.15      4.74 

34  51.2-,'     4.71 

5 

56 

1    0    06S 

4.90 

1   14   14  117       1  -7 

1    10  27.37       l.-l 

1  24  3-  .1,1 

4.84 

]  20  4-:m      I-: 

1   34  56.34      4  79 

4 

57 

!i    :,,-7 

I't- 

1  1  r.i.-".i     4/.K 

10  32.57      4.04 

21  437- 

4.99 

20  53,15      40-. 

35      1,16       1  — 

3 

ae 

:i  u  i 

5.  U7 

11  24.11       5.ii: 

10  :!7.77      5.0: 

•.'1  48.0C 

5111 

20  >.60      5.MI 

35     65.-      4!  >7 

2 

59 

ii  163: 

r,  II 

1!   a1  1.33      .'.  1  1 

10    1207      5.12 

21  51.12 

5.00 

Mt     3.74      5.08 

35   11.70      5.0.1 

1 

6') 

9  21.5! 

52.- 

14 

19  48.16     5.21 

24  59.29 

5.18 

30    8.88     5  ii 

3.1  16.81 

!     5.13 

0 

107°+ 

I64T+ 

IO.TH- 

104°+ 

163°+ 

162 

+ 

y 

317  - 

:t  i«  - 

aiar- 

:M4°- 

»43'- 

312 

— 

y 

886 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  sin  y. 


198°- 

199°— 

30O°— 

20  1  °— 

202°— 

2O3°— 

y 

18°+ 

I9D+ 

ao°+ 

ai°+ 

83°+ 

23°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

(! 

frfifti 

0.00 

1  40  24".01 

0.00 

1°  45  27.38 

o!oo 

o      /       li 

1  50  29.81 

0.00 

1°  55  30.23 

0.00 

2     0  28.52 

0.00 

60 

i 

35  21.93 

0.09 

40  28.10 

0.08 

45  32.44 

0.08 

50  34.84 

0.08 

55  35.21 

0.08 

0  33.48 

0.08 

59 

2 

35  27.05 

0.18 

40  33.19 

0.17 

45  37.00 

0.17 

50  39.86 

0.16 

55  40.20 

0.16 

0  38.44 

0.16 

58 

3 

35  32.17 

0.25 

40  38.28 

0.26 

45  42.55 

0.25 

50  44.88 

0.25 

55  45.19 

0.25 

0  43.39 

0.24 

57 

4 

35  37.28 

0.34 

40  43.36 

0.34 

45  47.60 

0.33 

50  49.90 

0.34 

55  50.18 

0.33 

0  48.34 

0.32 

56 

5 

35  42.39 

0.43 

40  48.44 

0.42 

45  52.65 

0.42 

50  54.92 

0.42 

55  55.17 

0.41 

0  53.29 

0.41 

55 

6 

1  35  47.51 

0.52 

1  40  53.53 

0.50 

1  45  57.71 

0.50 

1  50  59.94 

0.50 

1  56    0.15 

0.48 

2    0  58.24 

0.49 

54 

7 

35  5-2.<;:i 

0.60 

40  58.62 

0.5!) 

46    2.76 

0.5!) 

51     4.96 

0.59 

56    5.13 

0.56 

1    3.19 

0.58 

53 

8 

35  57.74 

0.69 

41     3.70 

0.67 

46    7.81 

0.67 

51     9.98 

0.67 

56  10.11 

0.65 

1    8.14 

0.66 

52 

9 

36    2.8.') 

0.77 

41     8.78 

0.76 

46  12.86 

0.75 

51  15.00 

0.75 

56  15.10 

0.74 

1  13.09 

0.74 

51 

10 

36    7.96 

0.85 

41  13.86 

0.85 

46  17.91 

0.89 

51  20.02 

0.87 

56  20.09 

0.83 

1  18.04 

0.82 

50 

11 

1  36  13.08 

0.94 

1  41  18.95 

0.93 

1  46  22.97 

0.92 

1  51  25.04 

0.92 

1  56  25.07 

0.91 

2    1  22.99 

0.90 

49 

12 

36  18.19 

1.02 

41  24.04 

1.02 

46  28.02 

1.00 

51  30.06 

1.00 

56  30.05 

1.00 

1  27.94 

0.98 

48 

13 

36  23.30 

1.11 

41  29.12 

1.10 

46  33.07 

1.09 

51  35.08 

1.08 

56  35.03 

1.08 

1  32.88 

1.07 

47 

11 

36  28.41 

1.19 

41  34.20 

1.19 

46  38.12 

1.17 

51  40.10 

1.16 

56  40.01 

1.16 

1  37.82 

1.15 

46 

15 

36  33.52 

1.27 

41  39.28 

1.27 

46  43.17 

1.26 

51  45.11 

1.25 

56  45.00 

1.24 

1  42.76 

1.23 

45 

1G 

1  36  38.63 

1.35 

1  41  44.36 

1.35 

1  46  48.22 

1.34 

1  51  50.13 

1.34 

1  56  49.98 

1.32 

2    1  47.71 

1.31 

44 

17 

36  43.7-1 

1.44 

41  49.44 

1.44 

46  53.27 

1.43 

51  55.15 

1.42 

56  54.96 

1.41 

1  52.65 

1.39 

43 

18 

36  48.85 

1.52 

41  54.52 

1.52 

46  58.32 

1.51 

52    0.16 

1.50 

56  59.93 

1.50 

1  57.59 

1.48 

42 

19 

36  53.!  K! 

1.61 

41  59.60 

1.60 

47     3.37 

1.60 

52    5.17 

1.59 

57    4.91 

1.58 

2    2.53 

1.56 

41 

20 

36  59.07 

1.70 

42    4.68 

1.69 

47    8.41 

1.68 

52  10.18 

1.67 

57    9.89 

1.66 

2    7.47 

1.65 

40 

21 

1  37    4.18 

1.79 

1  42    9.76 

1.78 

1  47  13.40 

1.76 

1  52  15.20 

1.76 

1  57  14.87 

1.74 

2    2  12.41 

1.73 

39 

99 

37    9.2!) 

1.87 

42  14.84 

1.86 

47  18.51 

1.85 

52  20.21 

1.84 

57  19.85 

1.82 

2  17.35 

1.81 

38 

23 

37  14.41 

1.96 

42  19.92 

1.95 

47  23.55 

1.93 

52  25.22 

1.92 

57  24.83 

1.90 

2  22.29 

1.90 

37 

24 

37  19.51 

2.05 

42  24.9!  I 

2.04 

47  28.59 

2.01 

52  30.23 

2.01 

57  29.80 

1.98 

2  27.23 

1.98 

36 

25 

37  24.61 

2.14 

42  30.06 

2.13 

47  33.63 

2.10 

52  35.24 

2.10 

57  34.77 

2.06 

2  32.17 

2.06 

35 

26 

1  37  29.72 

2.23 

1  42  35.14 

2.21 

1  47  38.68 

2.18 

1  52  40.25 

2.18 

1  57  39.75 

2.15 

2    2  37.11 

2.14 

34 

27 

37  34.83 

2.31 

42  40.22 

2.2!) 

47  43.72 

2.26 

52  45.26 

2.26 

57  44.73 

2.23 

2  42.05 

2.22 

33 

28 

37  39.93 

2.3!) 

42  45.29 

2.37 

47  48.76 

2.35 

52  50.27 

2.34 

57  49.70 

231 

2  46.!)!) 

2.30 

32 

2!) 

37  45.113 

2.47 

42  50.36 

2.45 

47  53.80 

2.44 

52  55.27 

2.42 

57  54.67 

2.40 

2  51.93 

2.38 

31 

30 

37  50.13 

2.55 

42  55.43 

2.53 

47  58.84 

2.52 

53    0.28 

2.50 

57  59.64 

2.48 

2  56.86 

2.47 

30 

31 

1  37  55.24 

2.64 

1  43    0.51 

2.61 

1  48    3.88 

2.60 

1  53    5.29 

2.58 

1  58    4.62 

2.56 

2    3    1.80 

2.55 

2!) 

32 

38     0.34 

2.72 

43    5.58 

2.70 

48    8.92 

2.6!) 

53  10.29 

266 

58    9.59 

2.65 

3    6.74 

2.63 

28 

33 

38    5.44 

2.81 

43  1065 

2.78 

48  13.96 

2.77 

53  15.30 

2.74 

58  14.56 

2.74 

3  1167 

2.71 

27 

34 

38  10.54 

2.90 

43  J5.72 

2.87 

48  19.00 

2.86 

53  20.30 

2.82 

58  19.53 

2.82 

3  10.60 

2.79 

26 

35 

38  15.64 

2.98 

43  20.79 

2.95 

48  24.04 

2.94 

53  25.30 

2.91 

58  24.50 

2.90 

3  21.53 

2.88 

25 

36 

1  38  20.74 

3.07 

1  43  25.86 

3.04 

1  48  29.08 

3.03 

1  53  30.30 

3.00 

1  58  29.47 

2.98 

2    3  26.46 

2.96 

24 

37 

38  25.84 

3.15 

43  30.93 

3.12 

48  34.12 

3.11 

53  35.30 

3.09 

58  34.44 

3.06 

3  31  39 

3.04 

23 

38 

38  30.94 

3.24 

43  36.00 

3.21 

48  39.16 

3.20 

53  40.31 

3.18 

58  39.41 

3.14 

3  36.32 

3.12 

W 

3'J 

38  36.04 

3.32 

43  41.07 

3.30 

48  44.19 

3.28 

53  45.31 

3.26 

58  44.38 

3.22 

3  41.25 

3.20 

21 

40 

38  41.14 

3.40 

43  46.14 

3.38 

48  49.22 

3.36 

53  50.31 

3.34 

58  49.34 

3.31 

3  46.18 

3.29 

20 

41 

1  38  46.24 

3.49 

1  43  51.21 

3.46 

1  48  54-26 

3.44 

1  53  55.31 

3.42 

1  58  54.31 

3.40 

2    3  51.11 

3.37 

19 

42 

38  51.34 

3.58 

43  56.28 

3.55 

48  59.31 

3.53 

54    0.31 

3.50 

58  59.27 

3.48 

3  56.04 

3.46 

18 

43 

38  56.44 

3.66 

44     1.35 

3.63 

49     4.33 

3.61 

54    5.31 

3.59 

59    4.23 

3.56 

4     0.97 

3.54 

17 

44 

39     1.54 

3.75 

44    6.41 

3.72 

49    9.36 

3.70 

54  10.31 

3.67 

59    9.19 

3.65 

4     5.90 

3.62 

16 

45 

39    6.63 

3.84 

44  11.47 

3.80 

49  14.39 

3.78 

54  15.31 

3.75 

59  14.15 

3.73 

4  10.82 

3.70 

15 

46 

1  39  11.73 

3.92 

1  44  16.54 

3.89 

1  49  19.42 

3.87 

1  54  20.31 

3,84 

1  59  19.11 

3.82 

2    4  15.75 

3.79 

14 

47 

39  16.83 

4.  0 

44  21.61 

3.96 

49  24.45 

3.95 

54  25.31 

3.91 

59  24.07 

3.90 

4  20.68 

3.87 

13 

48 

39  21.92 

4.  8 

44  26.67 

4.04 

4!)  29.48 

4.03 

54  30.30 

4.00 

59  29.03 

3.98 

4  25.60 

8.95 

12 

49 

39  27.01 

4.16 

44  31.73 

4.13 

49  34.51 

4.11 

54  35.30 

4.09 

59  33.99 

4.06 

4  30.52 

4.03 

11 

50 

39  32.11 

4.25 

44  36.79 

4.22 

49  39.54 

4.20 

54  40.30 

4.18 

59  38.95 

4.14 

4  35.44 

4.12 

10 

51 

1  39  37.21 

4.33 

1  44  41.85 

4.30 

1  49  44.57 

4.28 

1  54  45.30 

4.26 

1  59  43.91 

4.22 

2    4  40.36 

4.21 

9 

52 

39  42.30 

4.42 

44  46.91 

4.39 

49  49.61 

4.37 

54  5H.2! 

4.35 

59  48.87 

4.31 

4  45581    4.2D 

8 

53 

39  47.3!) 

4.50 

44  51.97 

4.47 

49  54.63 

4.45 

54  55.29 

4.44 

59  53.83 

4.39 

4  50.21)!     4.37 

7 

54 

39  52.4* 

4.59 

44  57.03 

4.56 

41)  5'.u;< 

4.54 

55    o.-i- 

4.52 

59  58.79 

4.47 

4  55.12 

4.45 

6 

65, 

39  57.57 

4.68 

45    2.09 

4.64 

50    4.68 

4.62 

55    5.27 

4.60 

2    0    3.74 

4.55 

5    0.04 

4.53 

5 

56 

1  40    2.66 

4.76 

1  45    7.15 

4.73 

1  50    9.71 

4.70 

1  55  10.26 

4.68 

2    0    8.70 

4.64 

2    5    4.96 

4.61 

4 

57 

40    7.75 

4.85 

45  12.21 

4.82 

50  14.74 

4.7!) 

55  15.25 

4.76 

0  13.66 

4.72 

5    9.88 

4.6!) 

3 

58 

40  12.84 

4.93 

45  17.27 

4.90 

9.71 

4.87 

55  20.24 

4.85 

0  18.62 

4.80 

5  14.80 

4.77 

2 

59 

40  17.'.i: 

5.02 

45  22.3: 

4.99 

50  24.7!) 

4.96 

55  25.24 

4.93 

0  23.57 

4.88 

5  19.72 

4.85 

1 

(in 

40  23.011     5.10 

45  27.38 

5.07 

50  29.81 

5.04 

55  30.23 

5.01 

0  28.52 

4.97 

5  24.63     4.94 

0 

161°+ 

16O°+ 

159°+ 

158°+ 

157°+ 

156°+ 

y 

341°— 

340°- 

339°— 

338°— 

337°— 

336°- 

y 

337 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  sin  y. 


2O4°— 

2O5°— 

S06'— 

207'— 

2O8°— 

209°— 

!/ 

24°+ 

23°+ 

26°+ 

37°+ 

28°+ 

29°+ 

y 

Equation. 

P.P. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

P.P. 

0 

2     5  24.63 

o'.oo 

2  10  18.46 

0.00 

2°  15    9'.87 

doe 

2°  19  58  82 

(too 

2  24  4o.22 

o'.oo 

2  2!)  '- 

i'i.00 

60 

i 

5  29.55 

0.08 

10  23.34 

0.08 

15  14.71 

0.08 

20    3.62     0.08 

24  49.97 

0.08 

29  33.69 

o.o* 

59 

2 

5  34.47 

0.16 

10  28.21 

0.16 

15  19.55 

0.16 

20     8.42 

0.16 

24  54.72 

0.16 

29  3S.4H 

0.16 

58 

3 

5  3i).3-! 

0.24 

10  33.08 

0.24 

15  24.38 

0.24 

20  13.21 

0.24 

24  59.47 

0.24 

29  43.11       0.24 

57 

4 

5  44.21) 

0.32 

10  37.75 

0.32 

15  29.21 

0.32 

20  18.00 

0.32 

25     4.22 

0.32 

2!)  47,-  1       I).:  ',2 

56 

5 

5  49.2  ) 

0.41 

10  42.82 

0.40 

15  34.04 

0.40 

20  22.79 

0.40 

25    8.97 

0.40 

29  52.51      0.40 

55 

6 

2    5  54.  1.' 

0.49 

2  10  47.70 

0.48 

2  15  38.88 

0.48 

2  20  27.58 

0.48 

2  25  13.72 

0.48 

2  29  57.22     0.4,- 

54 

7 

5  59.03 

0.57 

10  52.57 

0.56 

15  43.71 

0.56 

20  32.37      0.56 

25  18.47     0.56 

30     1.92      0.56 

63 

8 

6    3.!14 

0.65 

10  57.44 

0.64 

15  48.54 

0.64 

20  37.161     0.64 

25  23.22      0.64 

30     6.62      I  LI  11 

52 

9 

6    8.65 

0.73 

11    2.31 

0.72 

15  53.37 

0.72 

20  41.95 

0.72 

25  27.!  '7      0.72 

30  11.32     0.71 

51 

10 

6  13.76 

0.82 

11     7.18 

0.81 

15  58.20 

0.80 

20  46.74 

0.80 

25  32.72     0.79 

30  Ki.i  2 

0.78 

50 

11 

2    6  18.67 

0.90 

2  11  12.05 

0.89 

2  16    3.03 

0.88 

2  20  51.53 

0.88 

2  25  37.46     0.87 

2  30  20.72 

086 

49 

13 

6  23.58 

0.98 

11  16.92 

0.97 

16    7.86 

0.96 

20  50.32 

0.96 

25  4220      0.95 

30  25,12 

0.94 

4- 

13 

6  28.49 

1.06 

11  21.79 

1.05 

16  12.69 

1.04 

21     1.10      1.04 

25  46.94 

1.03 

30  30.11 

1.02 

47 

14 

6  33.40 

1.14 

11  26.66 

1.13 

16  17.52 

1.12 

21     5.88      1.12 

25  51.68 

1.11 

30  34.  HI 

1.10 

46 

15 

6  38.3U 

1.22 

11  31.53 

1.21 

16  22.34 

1.20 

21  10.66 

1.20 

25  56.41 

1.1! 

30  39.50 

1.18 

45 

16 

2    6  4321 

1.30 

2  11  36.40 

1.29 

2  16  27.17 

1.28 

2  21  15.45 

1.28 

2  26    1.15 

1.27 

2  30  44.20 

1.26 

44 

17 

6  48.12 

1.38 

11  41.27 

1.37 

16  32.00 

1.36 

21  20.23     1.3< 

26    5.89 

1.35 

30  4.-.90 

1.34 

43 

18 

(i  53.  12 

1.46 

11  4G.14 

1  .45 

16  36.82 

1.44 

21  25.011     1.44 

26  10.63 

1.4: 

30  53.HO 

1.42 

42 

111 

6  57.92 

I.:>1 

11   5I.OH 

1  .53 

16  41.64 

1.52 

21   2!)  .791     1.52 

26  15.37 

1.51 

30  58  28 

1.49 

41 

2) 

7    2.82 

1.63 

11   55,-li 

1.62 

16  46.46 

1.61 

21  34.57 

1.59 

26  20.10 

1.58 

31      2.!  17 

1  51, 

40 

n 

2    7    7.73 

1.71 

2  12    0.73 

1.70 

2  16  51.29 

1.69 

2  21  39.35 

1.67 

2  26  24.84 

1.66 

2  31     7.66 

1.64 

89 

22 

7  12.63 

1.80 

12    5.59 

1.78 

16  56.11 

1.77 

21  44.13      1.7.- 

26  29.58 

1.74 

31   12.35 

1.72 

88 

23 

7   17.53 

1.88 

12  10.45 

1.86 

17    0.93 

1.85 

21  48.91      1.83 

26  34.311     1.82 

31    17.04 

1.80 

37 

24 

7  22.43 

1.96 

12  15.31 

l.!»4 

17    5.75 

1.93 

21  53.69      1.91 

26  39.041     1.90 

31  21.73 

1.88 

36 

•5 

7  27.3:i 

2.04 

12  20.17 

2.02 

17  10.57 

2.01 

21  58.46      1.99 

26  43.77     1.98 

31  26.42 

1.91 

35 

26 

2    7  :!•.'  a: 

2.12 

2  12  25.03 

2.10 

2  17  15.39 

2.09 

2  22    3.24     2.07 

2  26  48.51     2.06 

2  31  31.11 

2.04 

34 

27 

7  37.13 

2.2i  ) 

12  29.89     2.18 

17  20.21 

2.17 

22    8.02     2.15 

26  53.241     2.14 

31   35>0     2.12 

83 

•6 

7  42.03 

2.28 

12  34.75 

2.26 

17  25.03 

2.25 

22  12.79     2.2: 

26  57.97     2.22 

31  40.48      2.2i 

32 

7  46.93 

2.36 

12  39.lil 

2.34 

17  29.85 

2.33 

22  17.57     2.31 

27    2.70     2.2! 

31  45.16     2.27 

31 

30 

7  51.63 

2.45 

12  44.46 

2.42 

17  34.66 

2.41 

22  22.34     2.39 

27    7.43     2.36 

31  49.84 

2.34 

30 

31 

2    7  56.73 

2.53 

2  12  49.32 

2.50 

2  17  39.48 

2.49 

2  22  27.11     2.47 

2  27  12.16     2.44 

2  31  54.53 

2.42 

2!) 

39 

8    1.63 

9.69 

12  54.18 

3.58 

17  44.30 

2.57 

22  31.88     2.55 

27  16.89     2.52 

31  5921 

2.50 

28 

33 

8    6.53 

2.70 

12  59.03 

2.66 

17  49.11 

2.65 

22  36.65     2.63 

27  21.62     2.6( 

32    3.89 

2.58 

27 

34 

8  11.42 

2.78 

13    3.88 

2.74 

17  53.92 

2.73 

22  41.42     2.71 

27  26.35     2.68 

32    8.57 

2.6( 

86 

35 

8  16.31 

2.87 

13    8.73 

2.82 

17  58.73 

2.81 

22  46.20     2.79 

27  31.07     2.76 

32  13.25 

2.74 

25 

36 

2    821.21 

2.95 

2  13  13.59 

2.90 

2  18    3.54 

2.89 

2  22  50.97 

2.87 

2  27  35.80 

2.84 

2  32  17.93 

2.HS 

24 

37 

8  26.10 

3.03 

13  18.44 

998 

18    8.35 

2.97 

22  55.74 

B.M 

27  40.53 

2.92 

32  22.61 

9.91 

23 

38 

8  30.99 

3.11 

13  23.29 

3.06 

18  13.16 

3.05 

23    0.51      3.03 

27  45.2." 

3.0( 

32  27  2! 

9.98 

22 

39 

8  35.88 

3.19 

i:;  98  1  I 

3.14 

18  17.97 

3.13 

23    5.28 

3.1 

27  50.97 

3.08 

32  3I.!'( 

3.0." 

21 

40 

8  40.77 

3.26 

13  32.99 

3.23 

18  22.78 

3.21 

23  10.04 

8.11 

27  54.6! 

8.11 

32  36.64 

3.12 

20 

41 

2    8  45.66 

3.34 

2  13  37.84 

3.31 

2  18  27.5! 

3.29 

2  23  14.81      3.27 

2  27  59.41 

323 

2  32  41.32 

3.20 

1!) 

12 

3.42 

13  42.69 

3.3!) 

18  32.41 

3.37 

23  19.58'     3.3." 

28    4.13 

3.3 

32  46.6(1      3.2,- 

18 

43 

8  55.44 

150 

13  47.54 

3.47 

18  37.21 

:M: 

23  24.::  1 

3.4: 

2-    r-r 

3.3< 

32  50.67 

3.3( 

17 

II 

9    0.33 

3.53 

13  52.39 

3.55 

18  42.02 

3.Y. 

23  29.1  < 

:',.:, 

28  13.57 

3.4 

32  55.34 

3.44 

16 

K 

9    5.21 

3.66 

13  5721 

£63 

18  46.82 

3.61 

23  33,-<> 

3,v. 

28  18.20 

3.55 

33    0.01 

3..V, 

15 

46 

2    9  10.10 

8.78 

2  14     2.0f 

3.71 

2  18  51.63 

3.69 

2  23  38.63 

3.67 

2  28  23.01 

3.6 

2  33    4.68 

:n;i 

14 

17 

'.)   II'.K 

8£3 

14    6.94 

3.79 

18  56.44 

3.77 

23  43.3!) 

8.71 

28  27.73 

3.7 

33     9.3.- 

:K,- 

13 

48 

:i  I9.-7 

3.:  H 

11    11.7! 

347 

19    1.24 

3,-.- 

23    I-.I5 

:•,.-: 

2-  32  i: 

8.7 

33   14.0'. 

3.71 

12 

4  ' 

9  24.75 

4.00 

11    H,i,: 

3.!i: 

19    6.04 

3.94 

2:i  52  .91 

3.91 

28  37.16 

3,- 

33   I.-.6! 

3.8 

11 

50 

:i  211,- 

4.08 

14  21.47 

4.04 

19  10.84 

4.01 

23  57.67 

3.9! 

28  41.87 

3.7 

33  23.31 

3.91 

10 

51 

2    !i 

4.16 

2  11 

4.12 

2  19  15(11 

4.0! 

2  24    2.43 

4.07 

2  2- 

4.02 

2  33  88.0! 

3.98 

9 

..-; 

:i  39  l, 

4.24 

11    31.11 

4.20 

1:1  2n,ll 

4.17 

24     7.19 

4.1." 

28  51.30 

4.1 

33  32.71 

4.  IK 

8 

S3 

:i  11.2- 

4.32 

n  3<;.<u 

1  .-.'- 

19  25.21 

4.2T 

24   11.95 

•12: 

2-  5<;.i>i 

4.1 

33  3737 

4.14 

7 

54 

9  .I'.MI 

4.40 

1  1  40.8 

4.3( 

1!)  311.114 

4.!!! 

21    1(1.71 

4.3 

29     0.72 

4.26 

33  42.01 

isa 

6 

55 

9  54.0T 

•1  .19 

11  45.fi- 

4.44 

19  34.84     4.41 

24  20.46 

4.31 

29     5,1: 

4.3 

33  46.6! 

4  31 

5 

56 

2    9  :.-'.> 

4.57 

2  14  50  .V 

4.52 

2   19  3!U,I      4.49 

2  24  26.22 

4.47 

2  29  10.14 

4.42 

2  33  51.31 

4:8 

4 

87 

II)     3-, 

li,: 

1  1  .V,.:M;    4.0 

19    II  41      4.57 

24  30.97 

iSt 

29  14.85 

4.51 

33  56i,-      4.46 

3 

58 

III     -7i 

17. 

15      D.2I 

1.6- 

19  49.2 

4.1,: 

24  35.7', 

IjS 

29    19.51 

4.58 

:u    0.68     4.5 

2 

59 

10  13.5- 

1  -1 

15     5.H. 

4.74 

19  54.0! 

4.73 

24  40.47 

4.7 

29  23.27 

4.<* 

31     5.34 

4.61 

1 

60 

10  18.46     4.90 

15    9.81 

1  - 

19  58.83 

4.82 

24  45.221    4.78 

29  2.-.!M 

4.7: 

34   10.01 

4.68 

0 

IIKF+ 

1.14°+ 

1.W+ 

1.W+ 

151°+ 

!5O°-f 

y 

33.T- 

«.1t°- 

3»30— 

SKW— 

3:1  r- 

:i:io°— 

y 

TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  sin  y. 


21©°- 

2ll°— 

212°— 

213D— 

214°— 

215Q— 

y 

30°+ 

31°+ 

32°+ 

33  + 

34°+ 

35°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

r.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

d 

2  34   id'.OO 

o!bo 

3  38  48'!20 

o.'bo 

2  43  23.51 

0*00 

o      t       n 
2  47  55.82 

o!6o 

2  52  2o".07 

0.00 

2  56  5l".16 

0.00 

60 

i 

34  ll.lii 

0.08 

38  52.82 

0.08 

43  28.08 

0.08 

48     0.34 

0.08 

52  29.53 

0.08 

56  55.57 

0.08 

50 

2 

34  19.32     0.16 

38  57.43 

0.16 

43  32.64 

0.16 

48     4.86 

0.16 

52  33.99 

0.16 

56  5!U)8 

0.16 

58 

3 

34  23.98      0.24 

39    2.04 

0.24 

43  37.20 

0.24 

48     9.37 

0.24 

52  38.45 

0.24 

57    4.39 

0.24 

57 

4 

34  28.64      0.32 

39     6.65 

0.32 

43  41.76 

0.32 

48  13.88 

0.32 

52  42.91 

0.32 

57    8.79 

0.31 

56 

5 

34  33.2,1 

0.40 

3i)  11.26 

0.40 

43  46.32 

0.40 

48  18.39 

0.40 

52  47.37 

0.39 

57  13.19 

0.38 

55 

6 

2  31  37.05 

0.48 

2  3!)  15.87 

0.48 

2  43  50.88 

0.48 

2  48  22.90 

0.47 

2  52  51.83 

0.46 

2  57  17.60 

0.45 

54 

7 

34  42.61 

0.56 

3!)  20.48 

0.56 

43  55.44 

0.55 

48  27.41 

0.54 

52  56.29 

0.52 

57  22.00 

0.52 

53 

8 

34  47.26 

0.63 

39  25.09 

0.63 

44     0.00 

0.62 

48  31.02 

0.61 

53     0.74 

0.60 

57  26.40 

0.59 

52 

9 

34  51.91 

0.70 

39  2.1.69 

0.70 

44     4.56 

0.60 

48  36.43 

0.68 

53     5.19 

0.67 

57  30.80 

0.66 

51 

10 

34  56.56 

0.77 

39  34.29 

0.77 

44     9.11 

0.76 

48  40.93 

0.75 

53    9.64 

0.74 

57  35.20 

0.73 

50 

11 

2  35    1.22 

0.85 

2  30  38.90 

0.85 

2  44  13.67 

0.84 

2  48  45.43 

0.83 

2  53  14.09 

0.82 

2  57  39.60 

0.81 

49 

)2 

35    5.87 

0.93 

39  43.50 

0.93 

44  18.22 

0.92 

48  49.93 

0.91 

53  18.54 

0.90 

57  44.00 

0.8!  > 

48 

13 

35  10.52 

1.01 

39  48.10 

1.01 

44  22.77 

.00 

48  54.43 

0.9!) 

53  22.99 

0.98 

57  4r-.40 

0.97 

47 

14 

35  15.17 

1.0!) 

39  5270 

.09 

44  27.32 

.08 

'  48  58.93 

1.07 

53  27.44 

1.06 

57  52.79 

.04 

46 

15 

35  l'J.82 

1.17 

39  5730 

.17 

44  31.87 

.16 

49    3.43 

1.15 

53  31.89 

1.13 

57  57.18 

.11 

45 

16 

2  35  24.47 

1.25 

2  40     1.90 

25 

2  44  36.42 

.23 

2  49    7.93 

1.22 

2  53  36.34 

1.20 

2  58     1.58 

.18 

44 

17 

35  2!).]  2 

1.33 

40    6.50 

.32 

44  40.97 

.30 

49  12.43 

1.29 

53  40.79 

1.27 

58    5.97 

.25 

43 

16 

35  33.77 

1.41 

40  11.10 

.39 

44  45.52 

.37 

49  16.93 

1.36 

53  45.24 

1.34 

58  10.36 

^32 

42 

19 

35  38.42 

1.48 

40  15.70 

.46 

44  50.07 

1.44 

49  21.42 

1.44 

53  49.68 

1.41 

58  14.75 

.39 

41 

20 

35  43.06 

1.55 

40  20.2!) 

.53 

44  54.61 

1.50 

49  25.91 

1.50 

53  54.12 

1.48 

58  19.14 

.46 

40 

21 

2  35  47.71 

1.63 

2  40  24.80 

.61 

2  44  59.16 

1.50 

2  49  30.41 

1.58 

2  53  58.57 

l.r,6 

2  58  23.53 

.54 

39 

22 

35  52.35 

1.71 

40  29.49 

.69 

45    3.71 

1.67 

49  34.91 

1.66 

54     3.01 

1.64 

58  27.92 

.62 

38 

23 

35  56.!K) 

1.79 

40  34.08 

.77 

45    8.25 

1.75 

49  39.00 

1.74 

54     7.45 

1.72 

58  32.31 

.70 

37 

24 

36    1.63 

1.87 

40  38.67 

.85 

45  12.79 

1.83 

49  43.89 

1.82 

54  11.89 

1.80 

58  36.70 

.77 

36 

25 

36    6.27 

1.95 

40  43.26 

1.93 

45  17.33 

1.91 

49  48.38 

1.89 

54  1633 

1.87 

58  41.08 

.84 

35 

26 

2  36  10.91 

2.03 

2  40  47.86 

2.01 

2  45  21.88 

1.99 

2  49  52.88 

1.96 

2  54  20.77 

1.94 

2  58  45.47 

1.01 

34 

27 

36  15.55 

2.11 

40  52.45 

2.0!  1 

45  26.42 

2.06 

49  57.37 

2.03 

54  25.21 

2.01 

58  49.86 

1.98 

33 

36 

36  20.19 

2.18 

40  57.04 

2.16 

45  30.!)6 

2.13 

50    1.86 

2.10 

54  29.65 

2.08 

58  54.24 

2.05 

32 

29 

36  24.83 

2.25 

41     1.63 

2.23 

45  35.50 

2.20 

50    6.35 

2.17 

54  34.08 

2.15 

58  58.62 

2.12 

31 

30 

36  29.46 

2.32 

41    6.22 

2.30 

45  40.04 

2.27 

50  10.84 

2.24 

54  38.51 

2.22 

59    3.00 

2.1!) 

30 

31 

2  36  34.10 

2.40 

2  41  10.81 

2.38 

2  45  44.58 

2.35 

2  50  15.33 

2.32 

2  54  42.95 

2.30 

2  59    7.38 

2.27 

29 

32 

36  38.74 

2.48 

41   15.40 

2.46 

45  49.12 

2.43 

50  19.82 

2.40 

54  47.38 

2.38 

59  1  1  76 

2.35 

28 

33 

:«i  43.37 

2.56 

41   1999 

2.54 

45  53.66 

2.51 

50  24.31 

2.48 

54  51.81 

2.46 

59  16.14 

2.43 

27 

34 

36  48.00 

2.61 

41  24.58 

262 

45  58.20 

2.59 

50  28.49 

2.56 

54  56.24 

2.54 

59  20.52 

2.50 

26 

35 

36  52.63 

2.72 

41  29.16 

2.70 

46    2.73 

2.67 

50  33.27 

2.64 

55    0.67 

2.61 

59  24.90 

2.57 

25 

36 

2  36  57.26 

2.80 

2  41  33.75 

2.78 

2  46    7.27 

2.74 

2  50  37.75 

2.71 

2  55    5.10 

2.68 

2  59  29.28 

2.64 

24 

37 

37     1.89 

2.88 

41  38.33 

2.85 

46  11.80 

2.81 

50  42.23 

2.78 

55    9.53 

2.75 

59  3366 

2.71 

23 

38 

37    6.52 

2.96 

41  4201 

2.92 

46  16.33 

2.88 

50  46.71 

2.85 

55  13.96 

2.82 

59  38.03 

2.78 

&2 

3!) 

37  11.15 

3.02 

41  47.49 

2.98 

46  20.86 

2.95 

50  51.19 

2.92 

55  18.3!) 

2.8!) 

59  42.40 

2.85 

21 

40 

37  15.78 

3.09 

41  52.07 

3.06 

46  25.39 

3.02 

50  55.67 

2.99 

55  22.81 

2.96 

59  46  77 

2.92 

20 

41 

2  37  20.41 

3.17 

2  41  56.65 

3.14 

2  46  20.5)2 

3.10 

2  51     0.15 

3.07 

2  55  27.24 

3.04 

2  59  51.14 

3.00 

19 

42 

37  25.04 

3.24 

42     1.23 

3.22 

46  32.45 

3.18 

51     4.63 

3.15 

55  31.67 

3.12 

59  55.51 

3.08 

18 

43 

37  29.67 

3.33 

42    5.81 

3.30 

46  38.98 

3.26 

51     8.11 

3.23 

55  36.10 

3.20 

59  59.88 

3.16 

17 

44 

37  34.30 

3.41 

42  10.3! 

3.38 

46  43.50 

334 

51  13.58 

3.31 

55  40.52 

3.28 

3    0    4.25 

3.23 

16 

45 

37  38.92 

3.49 

42  14.96 

3.46 

46  48.02 

3.42 

51  18.05 

3.39 

55  44.94 

3.36 

0    8.61 

3.30 

15 

46 

2  37  43.54 

3.57 

2  42  10.54 

3.54 

2  46  52.55 

3.49 

2  51  22.53 

3.46 

2  55  49.36 

3.43 

3    0  12.98 

3.37 

14 

47 

37  48.16 

3.65 

42  24.12 

3.62 

46  57.'  .7 

3.56 

51  27.00 

3.53 

55  53.78 

3.50 

0  17.35 

3.44 

13 

48 

37  52.78 

3.73 

42  28.60 

3.69 

47     1.59 

3.63 

51  31.47 

3.60 

55  58.20 

3.57 

0  21.71 

3.51 

12 

4'.) 

37  57.40 

3.80 

42  33.26 

3.76 

47    6.11 

3.70 

51  35.94 

3.67 

56    2.62 

3.64 

0  26.07 

3.58 

11 

50 

38    2.03 

3.87 

42  37.83 

3.83 

47  10.63 

3.77 

51  40.41 

3.74 

56    7.04 

3.70 

0  30.43 

3.65 

10 

51 

2  38    6.65 

3.95 

2  42  42.40 

3.91 

2  47  15.15 

3.85 

2  51  44.88 

3.82 

2  56  11.46 

3.78 

3    0  34.79 

3.73 

9 

52 

38  11.27 

4.03 

42  46.07 

3.99 

47  19.67 

3.93 

51  49.35 

3.90 

56  15.8H 

3.86 

0  39.15 

3.81 

8 

53 

38  15.89 

4.11 

42  51.54 

4.07 

47  24  19 

4.01 

51  53.82 

3.98 

56  20.2!) 

3.94 

0  43.51 

3.8!) 

7 

54 

38  20.51 

4.19 

42  56.11 

4.15 

47  28.71 

4.0!) 

51  58.29 

4.06 

56  24.70 

4.02 

0  47.87 

3.!)6 

6 

55 

38  25.12 

4.27 

43    0.68 

4.23 

47  33.23 

4.17 

52    2.75 

4.14 

56  29.11 

4.09 

0  52.23 

4.03 

5 

56 

2  38  29.74 

4.35 

2  43    5.25 

4.31 

2  47  37.75 

4.25 

2  52    7.22 

4.21 

2  56  33.52 

4.16 

3    0  56.59 

4.10 

4 

57 

38  34.36 

4.43 

43     9.82 

4.38 

47  42.27 

4.32 

52  11.69 

4.28 

56  37.93 

4.23 

1    0.96 

4.17 

3 

58 

:H  38.98 

4.50 

43  14.31 

4.45 

47  46.70 

4.39 

52  16.15 

4.35 

56  42.34 

4.30 

1     5.32 

4.24 

2 

59 

38  43.59 

4.57 

43  18.95 

4.52 

4751.31      4.46 

52  20.fi] 

4.42 

56  4(1.7.". 

4.37 

1     9.68 

4.31 

1 

60 

38  48.20 

4.64 

43  23.51 

4.59 

47  55.82     4.53 

52  25.07 

4.49 

56  51.16 

4.44 

1  14.02     4.38 

0 

149°+ 

148°+ 

147°+ 

146°+ 

145°+ 

144°+ 

y 

329°— 

328°— 

327°- 

326°— 

325°— 

324°— 

y 

339 


TABLE  CXXXVII.    ARGUMENT  77, 


Equation  =  18500"  sin  y. 


216°— 

217°— 

218°- 

219°— 

220°— 

221°— 

!/ 

36°+ 

37°+ 

38°+ 

39°+ 

4O°-f 

41°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

d 

f    1  14.02 

0.00 

3    5  33.58 

0*00 

3°    949.76 

0.00 

3°  14    S.42 

0.00 

3  18  li',57 

0.00 

3  22  if  09 

0.00 

60' 

i 

1  18.38 

0.08 

5  37.88 

0.08 

9  53.98 

0.07 

14    660 

0.07 

18  15.69 

0.07 

22  21.15     0.07 

5!) 

2 

1  22.74 

0.16 

5  42.18 

0.15 

9  58.22 

0.14 

14  10.78 

0.14 

18  19.81 

0.14 

22  25.21      0.13 

fiH 

3 

1  27.0!) 

0.23 

5  46.48 

0.22 

10    2.46 

0.21 

14  14.96 

0.21 

18  23.93 

0.21 

22  29.27      0.2U 

57 

4 

1  31.44 

0.30 

5  50.77 

0.29 

10    6.70 

0.28 

14  19.14 

0.28 

^  -XL- 

0.28 

22  33.33     0.26 

56 

5 

1  35.7!) 

0.37 

5  55.06 

0.36 

10  10.94 

0.35 

14  23.32 

0.35 

IS  32.17 

0.34 

22  37.3*      (1.33 

.  j.  > 

6 

3     1  40.14 

0.44 

3    5  59.35 

0.43 

3  10  15.18 

0.42 

3  14  27.50 

0.42 

3  18  36.29 

0.41 

3  22  41.44      0.39 

M 

7 

1  44.4!) 

0.51 

6    3.64 

0.50 

10  19.42 

0.49 

14  31.68 

0.49 

18  40.41 

0.48 

22  45.:.o 

0.46 

C3 

8 

1  48.84 

0.58 

6    7.93 

0.57 

10  2:i.65 

0.56 

14  35.85i     0.56 

18  44.52 

0.54 

22  49.55 

0.53 

52 

9 

1  53.1!) 

0.65 

6  12.22 

0.64 

10  27.88 

0.63 

14  40.02     0.63 

18  48.63 

0.61 

22  53.00     0.60 

51 

10 

1  57.53 

0.72 

6  16.51 

0.71 

10  32.11 

0.70 

14  44.19 

0.69 

18  52.74 

0.68 

22  57.65 

0.67 

50 

11 

3    2    1.87 

0.80 

3    6  20.80 

0.79 

3  10  36.34 

0.77 

3   14  4*.HO 

0.76 

3  18  56.85 

8.75 

323     1.70 

0.74 

49 

12 

2    6.21 

0.88 

6  25.0!) 

0.86 

10  40.57 

0.84 

14  52.53     0.83 

19    0.96     0.82 

23    5.75 

O.*l 

48 

13 

2   M,V> 

0.95 

6  29.38     0.93 

10  44.80 

0.91 

14  56.70     0.90 

19    5.07 

0.90 

23    9.80 

0.** 

47 

14 

2  14.89 

1.02 

6  33.66 

1.00 

10  49.02 

0.98 

15    0.87J     0.97 

19     9.1* 

0.97 

23  13.*5 

0.94 

46 

15 

2  19.23 

1.09 

6  37.94 

1.07 

10  53.24 

1.05 

15    6.04 

1.04 

19  13.29 

1.04 

23  17.90 

1.01 

45 

16 

3    2  23.57 

1.16 

3    6  42  23 

.14 

3  10  57.47 

1.12 

3  15    921 

1.11 

3  19  17.40 

.11 

3  23  21.95 

1.  « 

44 

17 

2  27.91 

1.23 

6  46.51  1       .21 

11      1.69 

1.19 

15  13.38 

1.18 

19  21.61:       .18 

23  26.00 

1.14 

43 

18 

2  32.25 

1.30 

6  50.79 

.28 

11     5.91 

1.26 

15  17.55 

1.25 

19  25.62       .24 

23  30.04 

1.21 

42 

1!) 

2  :«;.5* 

1.37 

6  55.07 

.35 

11   10.13 

1.33 

15  21.71 

1.32 

19  29.72       .30 

23  34  .CM 

1  2.- 

41 

20 

2  40.91 

1.44 

6  59.35 

.42 

11  14.35 

1.40 

15  25.87 

1.38 

19  33.82 

.36 

23  3*.  12 

1.34 

40 

21 

3    2  45.25 

1.52 

3    7    3.63 

.50 

3  11   18.57 

1.48 

3  15  30.03 

1.45 

3  19  37.92 

.43 

3  23  42.16 

1.41 

39 

22 

2  49.59 

1.60 

7    7.91 

.58 

11  22.79 

1.55 

15  34.19 

1.52 

19  42.02       .50 

23  4620      1,1,- 

38 

23 

2  53.92 

1.68 

7  12.19 

.65 

11  27.01 

1.62 

15  38.35 

1.59 

19  46.12       .57 

23  50.24      1.55 

37 

24 

2  58.25 

1.75 

7  16.46 

.72 

11  3123 

1.69 

15  42.51 

1.66 

19  50.22       .64 

23  54.28      1.62 

36 

2i 

3    2.58 

1.82 

7  20.73 

.79 

11  35.44 

1.76 

15  46.67 

1.73 

19  54.32       .71 

23  58.31 

1.6(1 

35 

26 

3    3    6.91 

1.89 

3    7  25.01 

.86 

3  11  39.66 

1.83 

3  15  50.831 

1.80 

3  19  58.42       .78 

3  24    2  35 

1  .75 

34 

27 

3  11.24 

1.96 

7  29.28 

,93 

11  43.88 

1.90 

15  54.991     1.87 

20    2.52       .85 

24     6.3*      l,-2 

33 

28 

3  15.57 

2.03 

7  33.55 

2.00 

11  4rt.lO 

1.97 

15  59.14 

1.91 

20    6.61        .92 

24  10.41  1     1.88 

32 

2!) 

3  19.90 

2.10 

7  37.82 

2.07 

11  52.31 

2.04 

16    3.29 

2.01 

20  10.70       .99 

24  14.44      1.<I5 

31 

30 

3  24.23 

2.17 

7  42.09 

2.14 

11  56.52 

2.11 

16    7.44 

2.08 

20  14.79 

2.05 

24  18.47 

2.02 

30 

31 

3    3  28.56 

2.2ft 

3    7  46.36 

2.22 

3  12    0.73 

2.18 

3  16  11.59 

2.15 

3  20  18.88 

2.12 

3  24  22.50 

2.09 

29 

32 

3  32.89 

2.33 

7  50.63 

2.29 

12    4.94 

2.25 

16  15.74 

222 

20  22.97      2.19 

24  26.53 

2.16 

28 

33 

3  37.21 

2.40 

7  54.90 

2.36 

12    9.15 

232 

16  19.89 

2.2!) 

20  27.06     2.25 

24  30.56     2.23 

27 

34 

3  41.53 

2.47 

7  59.17 

2.43 

12  13.36 

2.39 

16  24.04!    2.36 

20  31.15     2.32 

24  34.5*      2.30 

S6 

35 

3  45.85 

2.54 

8    3.44 

2.50 

12  17.57 

246 

16  28.19 

2.43 

20  35.23 

2.39 

24  38.60     2.36 

25 

36 

3    3  50.17 

2.61 

3    8    7.71 

2.57 

3  12  21.78 

2.53 

3  16  32.34 

2.50 

3  20  39.32 

2.46 

3  24  42.63     2.42 

24 

37 

3  54.49 

8.68 

8  11.97 

2.64 

12  25.99 

2.60 

16  36.49 

2.57 

20  43.41      2.53 

24  46.65     249 

23 

38 

3  58.81 

9.7S 

8  16.23 

2.71 

12  30.19 

2.67 

16  40.64 

2.64 

20  47.49     2.59 

24  50.67     2.56 

22 

39 

4    3.13 

B£9 

8  20.49 

2.78 

12  34.39 

2.74 

16  44.78 

2.71 

20  51.57     2.66 

24  54.69 

2  63 

21 

40 

4    7.44 

2.89 

8  24.75 

2.85 

12  38.59 

2.81 

16  48.92 

2.77 

20  55.65 

2.73 

24  58.71 

2.69 

90 

41 

3    4  11.76 

2.97 

3    8  29.01 

2.93 

3  12  42.79 

2.88 

3  16  53.06 

2.84 

3  20  59  71 

2.80 

3  25    2.73 

2.76 

19 

42 

4  16.08 

8.06 

8  33.27 

3.00 

12  46.99 

8.96 

16  57.20 

9.91 

21     3.82'     2.87 

25    6.75 

9.89 

18 

43 

4  20.39 

3.12 

8  3752 

3.07 

12  51.19 

302 

17     1.34 

2.98 

21     7.90      2.95 

25  10.77 

9.89 

17 

44 

4  24.70 

8.19 

8  41.77 

3.14 

12  55.3! 

3.09 

17    5.48 

3.05 

21  11.98      3.01 

25  14.79 

9.96 

16 

45 

4  29.01 

3.26 

8  46.02 

3.21 

12  59.58 

3.16 

17    9.62 

3.12 

21  16.06     3.08 

25  18.81 

3.03 

15 

46 

3    4  33.32 

3.33 

3    8  50.27 

3.28 

3  13    3.78 

3.23 

3  17  13.76 

3.19 

3  21  20.14     315 

3  25  22.83 

3.10 

14 

47 

4  37.63 

3.40 

8  54.52 

3.36 

13    7.98 

3.30 

17  17.90 

3.26 

21  24.22     322 

25  26.85 

8.16 

13 

48 

4  41.  !U 

3.47 

8  58.77 

3.42 

13  12.17 

3.37 

17  22.03 

21  2*3< 

3  2!! 

25  30.  *0 

3  23 

12 

411 

4  4G.25      3.54 

9     3.02 

3.49 

13  ni.:« 

3.44 

17  26.16 

340 

21   32.37 

8.3d 

25  3467 

3.30 

11 

60 

4  50.56 

3.61 

9    7.27 

3.56 

13  20.55 

3.51 

17  30.29 

3.46 

21   :«i.44 

3,11 

25  38.88 

3.36 

10 

51 

3    4  54.87 

3.69 

3    9  11.52 

3.64 

3  13  24.74 

3.5- 

3  17  34.42 

3.53 

3  21  40.51 

3.48 

3  25  42.89 

3.43 

9 

52 

1  69  1- 

3.77 

9  15.77 

3.71 

13  2-9: 

3  65 

17  3*55 

:!i;o 

21  44.58 

3.55 

25  46.90 

8.50 

8 

53 

:,    3,1- 

:•„-! 

9  20.02      3.78 

13  33.12 

3.72 

17  426* 

3.61 

21  48.65 

3.61 

25  50.91 

3.57 

7 

54 

5    7.78 

3.91 

9  24.27 

3.88 

13  37.31 

8.7» 

17  46.81 

374 

-.'I  59.78 

3.69 

25  51  92 

361 

6 

55 

5  12.08 

3.98 

9  28.51 

3.92 

13  41.50 

3.86 

17  50.94 

:;-! 

21  56.7.- 

3.75 

25  5*.92 

3.70 

5 

66 

3    5  li,:;- 

4.05 

3    9 

3  13  45.6! 

3.93 

3  17  55.07 

3*- 

3  22    o  ,-: 

::  -.' 

3  26    2.92 

3.77 

4 

67 

.-,  ao.ee 

4.12 

9  37.01 

4.06 

13  49.** 

1  in 

17  59  -.* 

3.!  15 

22    4.91 

3.80 

21  i     692 

8.84 

3 

56 

r.  94& 

4.19 

9  41  21 

4.13 

i:;  5l.o< 

4.07 

18    3.33 

4.02 

22    8.97 

3.9* 

26   10.92 

3.90 

2 

5  2!  1.2- 

421 

9  45..V 

4.21 

4.14 

18    7.45 

4.09 

22  13.0:- 

4.02 

26   14.9'.' 

3.90 

1 

60 

5  33.5S 

4.33 

9  49.74 

4.27 

14    2.42 

4.21 

18  11.57 

4.15 

•l-l  I7.o: 

1  01 

26  18.92     4.03 

0 

113°+ 

I4«°+ 

141°+ 

140°+ 

139°+ 

138°+ 

y 

3->3°— 

322°— 

321°— 

320°- 

319°— 

318°- 

y 

340 


TABLE  CXXXVII.    ARGUMENT  77, 


Equation  =  18500"  sin  g. 


222°— 

223°— 

224°— 

225°— 

226°— 

227°— 

y 

42°+ 

43°+ 

44°+ 

45°+ 

46°+ 

47°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

d 

3°  26   1S"92 

o!bo 

3  30  16".97 

0.00 

3  34  ll".18 

a 

0.00 

O       J         H 

3  38    1.47 

0.00 

O        1          II 

3  41  47.78 

o!bo 

3  45  30".04 

0.00 

60 

i 

26  22.92 

0.07 

30  20.91 

0.06 

'•34  15.05 

0.06 

38    5.27 

0.06 

41  51.52 

0.06 

45  33.71 

0.06 

59 

2 

26  26.!  11 

0.13 

30  24.85 

0.12 

34  18.92 

0.12 

38    9.07 

0.12 

41  55.26 

0.12 

45  37.38 

0.12 

58 

3 

26  30.91 

0.20 

30  28.78 

0.18 

34  22.79 

0.18 

38  12.87 

0.18 

41  59.00 

0.18 

45  41.05 

0.18 

57 

4 

26  34.90 

0.26 

30  32.71 

0.24 

34  26.66 

0.24 

38  16.67 

0.24 

42    2.73 

0.24 

45  44.72 

0.24 

56 

5 

26  38.90 

0.33 

30  36.64 

0.30 

34  30.55 

0.30 

38  20.47 

0.30 

42    6.46 

0.30 

45  48.38 

0.30 

55 

6 

3  26  42.89 

0.40 

3  30  40.57 

0.37 

3  34  34.39 

0.37 

3  38  24.27 

0.37 

3  42  10.19 

0.36 

3  45  52.05 

0.36 

54 

7 

26  46.88'     0.47 

30  44.50 

0.44 

34  38.25 

0.44 

38  28.07 

0.42 

42  13.92 

0.42 

45  55.71 

0.42 

53 

8 

26  5U.87 

0.54 

30  48.43 

0.51 

34  42.11 

0.51 

38  31.87 

0.49 

42  17.65 

0.48 

45  59.37 

0.48 

52 

9 

26  54.86 

0.60 

30  52.36 

0.58 

34  45.97 

0.57 

38  35.66 

0.56 

42  21.38 

0.55 

46    2.03 

0.54 

51 

10 

26  58.86 

0.66 

30  56.28 

0.65 

34  49.83 

0.64 

38  39.45 

0.63 

42  25.11 

0.62 

46    6.69 

0.61 

50 

11 

3  27    2.85 

0.73 

3  31    0.21 

0.72 

3  34  53.69 

0.71 

3  38  43.25 

0.70 

3  42  28.84 

0.68 

3  46  10.35 

0.67 

49 

19 

27    6.84 

0.79 

31     4.13 

0.79 

34  57.55 

0.78 

38  47.05 

0.76 

42  32.57 

0.74 

46  14.01 

0.73 

48 

13 

27  10.83 

0.86 

31     8.05 

0.86 

35    1.41 

0.84 

38  50.84 

0.83 

42  36.29 

0.80 

46  17.66 

0.79 

47 

14 

27  14.81 

0.92 

31  11.97 

0.92 

35    5.27 

0.91 

38  54.63 

0.90 

42  40.01 

0.86 

46  21.31 

0.85 

46 

15 

27  18.79 

0.98 

31  15.89 

0.99 

35    9.12 

0.98 

38  58.42 

0.96 

42  43.7;3 

0.93 

46  24.96 

0.91 

45 

16 

3  27  22.78 

1.05 

3  31  19.81 

1.06 

3  35  12.98 

1.04 

3  39    2.21 

.02 

3  42  47.45 

0.99 

3  46  28.61 

0.97 

44 

17 

27  26.76 

1.12 

31  23.73 

1.12 

35  16.83 

1.10 

39    6.00 

.08 

42  51.17 

1.05 

46  32.26 

1.03 

43 

18 

27  30.74 

t.19 

31  27.65 

1.18 

35  20.68 

1.16 

39    9.79 

.14 

42  54.89 

1.11 

46  35.91 

1.09 

42 

1!) 

27  31.72 

1.26 

31  31.57 

1.24 

35  24.53 

1.22 

39  13.58       .20 

42  58.61 

1.17 

46  "9.fC 

1.15 

41 

20 

27  38.70 

1.33 

31  35.48 

1.30 

35  28.33 

1.28 

39  17.36       .26 

43    2.32 

1.24 

46  43.20 

1.21 

40 

21 

3  27  42.68 

1.40 

3  31  39.40 

1.37 

3  35  32.23 

1.35 

3  39  21.14 

.32 

3  43    6.04 

1.30 

3  46  46.85 

1.27 

39 

22 

27  46.66 

1.47 

31  43.31 

1.44 

35  36.08 

1.41 

39  24.92 

.38 

43    9.75 

1.36 

46  50.50 

1.33 

38 

23 

27  50.64 

1.53 

31  47.22 

1.50 

35  39.93 

1.47 

39  28.70 

.45 

43  13.46 

1.42 

46  F4.14 

1.39 

37 

24 

27  54.61 

1.60 

31  51.13 

1.57 

35  43.77 

1.54 

39  32.4,-! 

.51 

43  17.17 

.48 

46  07.78 

1.45 

36 

25 

27  58.58 

1.67 

31  55.04 

1.64 

35  47.61 

1.60 

39  36.26 

.57 

43  20.88 

.54 

47     1.42 

1.51 

35 

26 

3  28    2.55 

.73 

3  31  58.95 

1.71 

3  35  51.46 

1.66 

3  39  40.04 

.64 

3  43  24.59 

.60 

3  47    5.fl6 

l,r'7 

34 

27 

28    6.52 

.80 

32    2.86 

1.77 

35  55.30 

1.73 

39  43.82 

.70 

43  28.30 

.66 

47     8.7n 

1.63 

33 

28 

28  10.49 

.86 

32    6.76 

1.84 

35  59.14 

1.80 

39  47.59 

.76 

43  32.01 

.72 

47  12.34 

1.69 

32 

89 

28  14.46 

.92 

32  10.66 

1.90 

36    2.98 

1.86 

39  51.36 

.82 

43  35.72 

.78 

47  15.98 

1.75 

31 

30 

28  18.42 

.99 

32  14.56 

1.96 

36    6.82 

1.92 

39  55.13 

.88 

43  39.42 

.85 

47  1962 

1.82 

30 

31 

3  28  22.39 

2.06 

3  32  18.46 

2.03 

3  36  10.66 

1.98 

3  39  58.90 

1.94 

3  43  43.13 

.91 

3  47  23.26 

1>'3 

29 

32 

•>••  26.36 

2.12 

32  22.36 

2.10 

36  14.50 

2.05 

40    2.67 

2.00 

43  46.63 

.1)7 

47  Sio.% 

l.!,4 

28 

33 

28  30.32 

2.19 

32  26.26 

2.17 

36  18.34 

2.11 

40    6.00 

2.07 

43  50.57 

2.03 

47  30.53 

2.00 

27 

34 

28  34.28 

2.25 

32  30.16 

224 

36  22.17 

2.18 

40  10.21 

2.13 

43  54.23 

2.09 

47  34.16 

2.06 

26 

35 

28  38.24 

2.32 

32  34.06 

2.30 

36  26.00 

2.25 

40  13.97 

2.19 

43  57.93 

2.15 

47  37.79 

2.12 

25 

36 

3  28  4220 

2.39 

3  32  3796 

2.37 

3  36  29.83 

2.31 

3  40  17.74 

2.25 

3  44    1.63 

2.21 

3  47  41.42 

2.18 

24 

37 

28  46.16 

2.46 

32  41.86 

2.43 

36  33.66 

2.38 

40  21.51 

2.32 

44     0.00 

2.28 

47  45.05 

2.24 

23 

38 

28  50.12 

2.53 

32  45  76 

2.49 

36  37.49 

2.44 

40  25.27 

2.38 

44     9.03 

2.34 

47  48.68 

2.30 

22 

39 

28  54.08 

2.5!) 

32  49  <r> 

2.55 

36  41.32 

2.50 

40  29.03 

244 

44  12.72 

240 

<7  52.31 

2.36 

21 

40 

28  58.04 

2.6.'> 

32  53.54 

2.60 

36  45.15 

2.56 

40  32.79 

2.51 

44  16.40 

2.47 

47  55.93 

2.42 

20 

41 

3  29    2.00 

2.72 

3  32  57.43 

2.68 

3  36  48.98 

2.63 

3  40  36.55 

2.58 

3  44  20.09 

2.53 

3  47  59.56 

2.48 

19 

42 

29    5.96 

2.79 

33     1.32 

2.74 

36  52.81 

2.70 

40  40.31 

2.64 

44  23.78 

2.69 

48    3.18 

2.54 

18 

43 

29    9.91 

2.86 

33    5.21 

2.81 

36  56.63 

2.76 

40  44.07 

2.70 

44  27.47 

2.66 

48    6.80 

2.60 

17 

44 

29  13.86 

2.92 

33    9.10 

2.87 

37    0.45 

283 

40  47.83 

2.77 

44  31.16 

2.72 

48  10.42 

2.66 

16 

45 

29  17.81 

2.99 

33  12.99 

2.94 

37    4.27 

2.90 

40  51.58 

2.83 

44  34.85 

2.78 

48  14.04 

2.72 

15 

46 

3  29  21  .76 

3.06 

3  33  16.88 

3.00 

3  37    8.09 

2.96 

3  40  55.34 

2.90 

3  44  38.54 

2.84 

3  48  17.66 

2.78 

14 

47 

29  25.71 

3.13 

33  20.77 

3.06 

37  11.91 

3.02 

40  59.09 

2.96 

44  42.22 

2.90 

48  21.28 

2.84 

13 

48 

29  29.66 

3.19 

33  24.65 

3.13 

37  15.73 

3.08 

41     2.84 

3.02 

44  45.90 

2.96 

48  24.90 

2.90 

12 

49 

29  33.61 

3.25 

33  28.53 

3.19 

37  19.55 

3.14 

41     6.59 

3.08 

44  49.58 

3.02 

48  28.51 

2.96 

11 

50 

29  37.55 

3.32 

33  32.41 

3.26 

37  23.37 

3.20 

41  10.34 

3.14 

44  53.26 

3.09 

48  32.12 

3.03 

10 

51 

3  29  41.50 

3.39 

3  33  36.2!1 

3.33 

3  37  27.19 

3.27 

3  41  14.09 

3.20 

3  44  56.95 

3.15 

3  48  35.73 

3.09 

9 

52 

29  45.45 

3.46 

33  40.17 

3.40 

37  31.01 

3.33 

41  17.84 

3.27 

45    0.63 

3.21 

48  39.34  ;     3.15 

8 

53 

29  49.39 

3.53 

33  44.05 

3.46 

37  34  82 

3.40 

41  21,59 

3.33 

45    4.31 

3.27 

48  42.95     3.21 

7 

54 

29  53.33 

3.60 

33  47.93 

3.52 

37  38.63 

3.46 

41  25.33 

3.39 

45    7.99 

3.34 

48  46.56     3.27 

6 

55 

29  57.27 

3.66 

33  51.81 

3.59 

37  42.44 

3.53 

41  29.07 

3.45 

45  11.67 

3.40 

48  50.17 

3.33 

5 

56 

3  30    1.21 

3.73 

3  33  55.6S 

3.65 

3  37  46.25 

3.59 

3  41  32.82 

3.52 

3  45  15.34 

3.46 

3  48  53.78 

3.39 

4 

57 

30    5.15 

3.80 

33  59.57 

3.72 

37  50.06 

3.65 

41  36.56 

3.58 

45  19.01 

3.52 

48  57.38     3.45 

3 

58 

30    9.09 

3.86 

34     3.44 

3.79 

37  53.87 

3.72 

41  40.30 

3.64 

45  22.68 

3.58 

49    0.98;     3.51 

2 

59 

30  13.03 

3.92 

34     7.31 

3.85 

37  57.67 

3.78 

41  44.04 

3.71 

45  26.36 

3.64 

49    4.58      3.57 

1 

60 

30  16.97 

3.98 

34  ll.lg 

3.90 

38    1.47 

3.84 

41  47.78 

3.77 

45  30.04 

3.71 

49    8.18!     3.63 

0 

137°+ 

13G°+ 

135°+ 

134°+ 

133°+ 

132°+ 

y 

317°— 

316°— 

315°— 

314°— 

313°— 

312°— 

y 

341 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  sin  y. 


928°— 

229° 

— 

93O°— 

931°— 

232°— 

233°- 

y 

48°+ 

49°+ 

3O°+ 

51°+ 

32°+ 

33°+ 

y 

1 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

K<limtion. 

p.  p. 

o' 

349     8.18 

6'.oo 

3  52  42'.13 

o'.oo 

3°  56'  ll'.82 

6'.oo 

3  59  37.20 

o'.oo 

4     2  58.18 

o'.oo 

o      /      n 
4     6  14.76 

o.ro 

60' 

1 

49  11.7- 

0.06 

52  45.66 

0.06 

56  15.28 

0.06 

59  40.59 

0.06 

3     1.49 

0.06 

(i    1-1,0 

0.06 

59 

2 

49  15.3- 

0.12 

52  49.19 

0.12 

56  18.74 

0.12 

59  43.!'* 

0.12 

3    4.80 

0.11 

6  21.24 

0.11 

58 

3 

49   1  -.'.'- 

0.18 

52  52.72 

0.18 

56  22.20 

0.18 

59  47.36 

0.18 

3    8.11 

0.17 

6  24.48 

0.16 

57 

4 

49  22  57      0.24 

52  56.21 

0.24 

56  25.65 

0.24 

59  50.74 

0.24 

3  11.42     0.22 

6  27.71 

0.22 

56 

5 

49  26.16     0.30 

52  59.76 

0.30 

56  29.10 

0.29 

59  54.12 

0.29 

3  14.73      0.28 

6  30.94 

057 

55 

6 

3  49  29.76     0.36 

3  53    3.29 

0.36 

3  56  32.55 

0.35 

3  59  57.50 

0.34 

4     3  18.04 

0.33 

4    6  34.13 

0.32 

54 

7 

49  33.35     0.42 

53    6.81 

0.42 

56  36.00 

0.40 

4     0    0.88 

0.40 

3  21.35      0.39 

6  37.40 

0.38 

53 

8 

49  36.94      n,|- 

53   10.33 

0.48 

56  39.45 

0.46 

0    4.26 

0.46 

3  24.65     0.45 

6  40.63 

0.43 

52 

9 

49  40.53      0.54 

;>il  13.  S> 

0.53 

56  42.90 

0.52 

0    7.64 

0.51 

3  27.95'     0.50 

6  43.86 

0,1- 

51 

10 

49  44.12 

0.59 

53  17.37 

0.58 

56  46.35 

0.57 

0  11.01 

0.56 

3  31.25      0.55 

6  47.09 

0.53 

50 

11 

3  49  47.71 

0.65 

3  53  20.89 

0.64 

3  56  49.80 

0.63 

4     0  14.38 

0.62 

4     3  34*6     0.61 

4    6  50.32 

0.59 

49 

12 

49  56.30      0.71 

53  24.41 

0.70 

56  53.25 

0.68 

0  17.75 

0.67 

3  37.1-6      066 

6  53.54 

0.64 

48 

13 

49  54.89;     0.77 

53  27.93 

0.76 

56  56.69 

0.74 

0  21.12     0.73 

3  41.16     0.72 

(i  .'6.76 

070 

47 

14 

49  58.48     0.83 

53  31.41 

0.82 

57    0.13 

0.80 

0  2449      07,- 

3  44,16      O.7.- 

6  59.98 

0.76 

46 

15 

50    2.06 

0.89 

53  34.95 

0.88 

57    3.57 

0.85 

0  27.86     0.84 

3  47.76     0.83 

7    3.20 

O.t'l 

45 

16 

3  50    5.65 

0.95 

3  53  38.46 

0.94 

3  57    7.01 

0.91 

4     0  31.23     0.8!) 

4     3  51  06     0.89 

4    7    6.42 

0.86 

44 

17 

50    9.23     1.01 

53  41.97 

1.00 

57  10.45 

0.96 

0  34.60.     0.9f 

3  54  36      0.94 

7     9.64 

0.91 

43 

18 

50  12.-1      1.07 

53  45.4- 

1.06 

57  13.89 

1.02 

0  37.97      1.01 

3  57.65      0.9! 

7  12.86 

O.S7 

42 

19 

50  16.39      1.13 

53  4-.  99 

1.12 

57  17.33 

1.08 

0  41.3,3 

LOT 

4     0.94      1.04 

7  16.07 

1  1  2 

41   ! 

2J 

50  19.97      1.19 

53  52,50 

1.17 

57  20.76 

1.14 

0  44.61)1     1.11 

4     4.23 

1.09 

7   19.2- 

1.07 

40 

21 

3  50  23.55      1.25 

3  53  56.01 

1.23 

3  57  24.20 

1.20 

4     0  48.051     1.17 

4     4     7.52 

1.14 

4     7  22.49 

1.13 

39 

22 

50  27.13      1.31 

53  59.52 

1.29 

57  27.63 

1.26 

0  51.41       122 

4   10.81 

1.20 

7  25.70 

1.18 

38 

23 

5n  3(1.70      1.37 

54     3.02 

1  .35 

57  31.06 

1.31 

0  54.77      1.2* 

4  14.10 

1.26 

7  28,91 

1  2! 

37 

24 

50  33.27      1.43 

54    6.52 

1.41 

57  31,19 

1.37 

0  58.13      1.3', 

4  17.38 

1.31 

7  32.12 

1  2b 

36 

25 

5n  37.84]     1.49 

54  10.02 

1.47 

57  37.92 

1.42 

1     1.49 

1.38 

4  20.66     1.37 

7  35.33 

1.34 

35 

26 

11.41      1  .55 

3  54  13.52 

1.52 

3  57  41.  35 

1.48 

4           4.85      1.43 

4     4  23.94     1.42 

4    7  38.54 

1.4f 

34 

27 

50  449*      1.61 

54  17.02 

1  .5- 

57  44.78 

1  .54 

8.21)      1.4! 

4  27  28 

1.48 

7  41  75 

1  .4.- 

33 

28 

50  49.55      1.67 

54  2o,52 

1.64 

67  48.21 

1.60 

1  1  55      1  .5.' 

4  30.50      1.54 

7  44  !( 

]  .5( 

32 

2!) 

50   52  12       1.73 

51  21.02 

1.69 

57  51.63 

1.66 

14.90      1.61 

4  33.7*      1.5! 

7  4  .-.16      1.55 

31 

30 

50  55.68 

1.7- 

54  27.51 

1.75 

57  55.05 

1.72 

18.25      1.67 

4  37.05 

1.64 

751.36     1.61 

30 

31 

3  50  59  25 

1.84 

3  54  31.01 

1.81 

3  57  58.47 

1.73 

4         21.60      1.73 

4     4  40.33      1.70 

4    7  54.56'     1.66 

29 

32 

51     2.81      1  .90 

51  34.50 

].*7 

58     1-9 

1.-:: 

24!  Li      1.7! 

4  43.60      1.7." 

7  57.76      1.72 

28 

33 

51    6.37     I.IK; 

54  37.99 

1.93 

58     5.31 

1.89 

28.30      l  -.- 

4  46.87      1.81 

8     0.16      1.7r 

W 

34 

51     9.93!     2.02 

51  41.48 

1.99 

58    8.73 

1.95 

31.64      1.91 

4  50.14      1-7 

8    4.16      1-4 

£6 

35 

51   13.49 

20- 

54  44.97 

2.05 

58  12.15 

2.01 

34.98 

1.97 

4  53.41 

1.112 

8    7.36     1  .*! 

25 

36 

3  51    17.115 

2.11 

3  54  48.46 

2.10 

3  58  15.57 

2.06 

4         38.32      2.03 

4     4  56.68 

1.98 

4    8  10.56      1.94 

24 

37 

51   20.61 

2.20 

54  51.95 

2.16 

68   l*.99 

2.12 

41  6li      V  ),- 

4  59.115      20: 

,-    1375      1.91 

83 

38 

51  24.17 

54  55.41 

2.22 

58  22.40 

2.18 

44!'*      2.1: 

3.32     2.0! 

8  16!  '4 

2.f!4 

22 

39 

51   2773 

2.32 

51    5-.92 

2.27 

58  25-  1 

2.24 

48.32      yi- 

648      2.14 

*  20.13      2.1'! 

21 

40 

51  31.28 

2.37 

55    2.40 

2.33 

58  29.22 

2.29 

51.68      2.2: 

9.74 

2.19 

G  23.32,     2.13 

80 

41 

3  51  34.84 

2.43 

3  55    5.88 

2.39 

3  58  32.63 

2.35 

4         55.02      2  2T 

4         13.00     2.2.r 

4    8  2651 

2.1! 

19 

42 

51    3-39 

2.4!) 

55     9.36 

2.45 

58  36.04 

2.41 

6856     23 

1626      2.31 

8  29.69     2.2." 

18 

43 

51    41.91 

2.55 

55  12.84 

2.51 

58  39.45 

247 

2    1.6! 

2.41 

1952      2.30 

*  :.2-7 

2.31 

17 

44 

51   4549 

261 

55   16.32 

8.66 

58  42.86 

2.52 

2    5.02 

2  41 

22.7*      2.41 

8  36.05 

2.31 

16 

45 

51   49.04 

2.67 

55    19-0 

2.62 

56   I6.2i 

2.58 

2    8.35 

2,51 

26.04 

2.46 

8  39.23 

2,12 

15 

46 

3  51   5259 

2.73 

3   .V,   232- 

2.68 

3  58  49.67 

2.64 

4    2  1168 

2.57 

4         2!  '.31 

252 

4     8  42,11 

241 

14 

47 

51    56  1  1 

2.79 

2.74 

58  5307 

2.70 

2  15.01 

86 

32.-I 

8.58 

8  45.5! 

251 

13 

4- 

51   59.69 

9.85 

55   30.23 

2-0 

58  56.47 

2.76 

2  18.34 

8.6! 

35.81 

i>  6- 

,-    1-77      2.'( 

12 

49 

52     3.23 

2.91 

55  33.7)1 

2-6 

5-   59-7 

2.81 

2  21.67 

274 

39.1  1 

9.6! 

1  95 

2.61 

11 

50 

52     (,77 

2.97 

55  37.17 

2.92 

59      327 

._,  ., 

2  24.99 

2.7! 

42.31 

2.7- 

8  55.11 

2)  1 

10 

51 

3  52  in  31 

3.03 

3  55  40.64 

2.98 

3  59    6.67 

2.92 

4    2  . 

2-- 

4         4556 

27: 

4     8  58  2! 

272 

9 

52 

52   13-5 

3.1)9 

.V.  41.11 

3.04 

59   10.07 

2.9- 

231.61       291 

!-,-!      8.8 

9     1.46 

2.77 

8 

59 

52   1  7.3:' 

3.15 

55    17.5- 

3  10 

59   13.47 

3.01 

234!*6      2.11 

52.l'6      2,-' 

9     463 

8.82 

7 

64 

52  2'i.:':', 

321 

55  5|  o: 

3.16 

59    ](,-) 

3.0! 

2  3.-  2-     8.09 

5531        29.- 

9     7-) 

2-7 

6 

56 

MAI 

3.27 

55   5151 

3.22 

59  20.2.- 

3.15 

24160     3.0- 

5'   1 

9   10.17 

5 

i 

56 

3  52  2-.nl      3.33 

3  55  57.9- 

3  2- 

3  59 

321 

4    2  41.92      3.14 

4    6    1.80 

3.07 

4     9  14.14 

2  "- 

4 

52   31.51 

3.3'> 

56      1,11       3.33 

59  27  i,: 

327 

2  4*24      3.1! 

),    MM 

3.12 

9  I7.:2 

3.1  i 

3 

68 

52  3507 

3  15 

51  i      1.90       33- 

3.32 

2  51  57 

8.94 

6    8.28 

3  1  - 

9  '.'"  I: 

3.10 

2 

59 

3.51 

736      3  II 

3.3- 

!  -7 

3.2! 

6    1152 

8.23 

9  2366 

:;  i: 

1 

6,1 

52  42.13 

3.56 

56  11-2      351 

59  372' 

3  I: 

2  58.18     3.34 

6  14.70 

358 

9  26.82      3.20 

0 

131°+ 

130°+ 

199°+ 

198°+ 

127°+ 

126°+ 

y 

3i  r- 

31O 

'— 

3O9°— 

308°— 

3O7°— 

306° 

— 

77 

TABLE  CXXXVII.    ARGUMENT  77, 


Equation  =  18500"  sin  £. 


23*°— 

235°— 

236°— 

237°- 

238°— 

239°— 

y 

54°+ 

55'+ 

56°+ 

57°+ 

58°+ 

59°+ 

y 

Equation. 

p.p 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p 

Equation. 

P.P. 

Equation. 

p.p. 

d 

4°   9  26.82     0.00 

4  12  34131 

0.00 

4  15  37.19 

y 

0.00 

I  18  35U40 

o"oo 

4  21  28.89 

o!bo 

4  24  1759 

0.00 

60 

1 

9  29.99      0.05 

12  37.40 

0.05 

15  40.20 

0.05 

18  38.33 

0.05 

21  31.74 

0.05 

24  20.36 

005 

59 

2 

9  33.15:     0.10 

12  40.49 

0.10 

15  43.21 

0.10 

18  41.26 

0.10 

21  34.59 

0.10 

24  23.13 

0.10 

58 

3 

9  3631      0.15 

12  43.57 

0.15 

15  46.22 

0.15 

18  44.19 

0.15 

21  37.44 

0.15 

24  25.90 

0.14 

57 

4 

9  39.471     0.20 

12  46.65 

0.2') 

15  49.22 

0.20 

18  47.12 

0.20 

21  40.29 

0.20 

24  28.67 

0.18 

56 

5 

9  42.63  1     0.26 

12  49.73 

0.25 

15  52.22 

0.25 

18  50.04 

025 

21  43.14 

0.25 

24  31  43 

0.23 

55 

6 

4    9  45.7:>l     0.31 

4  12  5281 

0.30 

4  15  55.22 

030 

4  18  52.07 

0.30 

4  21  45.99 

0.29 

4  24  34.20 

028 

54 

7 

9  48.95     0.36 

12  55.00 

035 

15  58.22 

0.35 

18  55.89 

0.35 

21  48.83 

0.34 

24  T6!6 

032 

53 

8 

9  52.10J     0.42 

12  58.97 

0.40 

16    1.22 

0.40 

18  58.81 

0.40 

21  5167 

0.38 

24  39.72 

0.37 

52 

9 

9  55.25 

0.47 

13    2.04 

045 

16    4.22 

0.45 

19     1.73 

0.44 

21  54.51 

0.42 

24  42.48 

0.42 

51 

10 

9  58.40 

0.52 

13    5.11 

0.51 

16    7.22 

050 

19    465 

0.48 

21  57.35 

0.47 

24  45.24 

0.46 

50 

n 

4  10     1.55 

0.58 

4  13    8.18 

0.56 

4  16  10.22 

0.55 

4  19    7.57 

0.53 

4  22    0.19 

0.52 

4  24  48.00 

0.51 

49 

12 

10     4.70!     0.63 

13  11.25 

0.61 

16  13.21 

0.60 

19  10.49 

0.57 

22    3.03 

0.57 

24  50.76 

0.56 

48 

13 

10    7.84 

0.6!) 

13  14.32 

0.66 

16  16.20 

0.65 

19  13.40 

0.62 

22    5.86 

0.61 

24  53,52 

0.60 

47 

14 

10  10.96 

0.74 

13  17.3!) 

0.71 

16  19.19 

070 

19  16.31 

0.67 

22    869 

0.66 

24  f,6.27 

0.65 

46 

15 

10  14.12 

0.7!) 

13  20.46 

0.76 

16  22.18 

0.75 

19  1922 

0.72 

22  11.52 

0.70 

24  59.021     0.70 

45 

16 

4  10  17.26 

0.84 

4  13  23.53 

081 

4  16  25.17 

0.80 

4  19  22.13 

0.77 

4  22  14.35 

0.75 

4  25    1.78 

0.74 

44 

17 

10  21.40 

0.89 

13  26.60 

0.86 

16  28  16 

0.85 

19  25.04 

0.82 

22  17.18 

0.80 

25    4.53 

0.79 

43 

18 

10  2:i.54 

0.94 

13  2966 

0.91 

16  31,15 

0.90 

19  27.95 

0.87 

22  20.01 

0.85 

25     7.28 

0.83 

42 

1!) 

ID  2o.6S 

0.99 

13  32.72 

0.96 

16  34.13 

0.95 

19  30.86 

O.r.2 

22  22.81 

O.H" 

8.-.   '  0.'  3 

0.87 

41 

20 

10  2.).82 

1.04 

13  35.78 

1.02 

16  37.11 

0.99 

19  33.76 

0.96 

22  25.66 

0.94 

25  12.76 

0.91 

40 

21 

4  10  32.06 

.10 

4  13  38.84 

1.07 

4  16  40.09 

1.04 

4  19  36.67 

r.oi 

4  22  28.49 

0.99 

4  25  15.51 

0.96 

39 

22 

10  36  10 

.15 

13  41.90 

1.12 

16  43.07 

1.09 

19  39.57 

105 

22  31.31 

1.03 

25  18.25 

1.00 

38 

23 

10  39.23 

.20 

13  44.96 

1.17 

16  46  05 

1.14 

19  42.47 

1.10 

22  34.13 

l.OR 

25  20.99 

1.05 

37 

24 

10  42.36|      .26 

13  48.02 

1  .22 

16  49.03 

1.19 

19  45.37 

1  15 

22  36.95 

.12 

25  ^.1.73 

l.lt 

36 

25 

10  45.49        .31 

13  51  07 

1.27 

16  52.01 

1.24 

19  48.27 

ISO 

22  39.77 

.17 

25  2647 

1.14 

35 

26 

4  10  4862'       .36 

4  13  54.13 

1.32 

4  16  54.99 

1.29 

4  19  51.17 

1.25, 

4  22  42.59 

.22 

4  25  29.21 

l.lfl 

34 

27 

10  51.75]        41 

13  57.18 

1.37 

16  57.97 

1.34 

19  54.07 

1.30 

22  45.41 

.26 

25  31.95 

1.24 

o3 

28 

10  54.88;       .46 

14     0.23 

1.42 

17    0.94 

1.39 

19  5696 

1.35 

22  48.23 

.3(1 

25  34.68 

1.28 

32 

23 

10  58.011      .51 

14     3.28 

1.47 

17    3.91 

1.44 

19  59.85 

1.40 

22  51.04 

135 

25  37.41 

1.33 

31 

30 

11    1.14 

.57 

14    6.33 

152 

17    688 

1.49 

20    2.74 

1.45 

22  53.85 

1.40 

25  40.14 

1.37 

30 

31 

4  11    4.27 

.63 

4  14    9.38 

1.57 

4  17    9.85 

1.54 

4  20    5.63 

1.50 

4  S2  ."666 

1.45 

4  95  4287 

1  -'2 

29 

32 

1  1     7.40!      .6^ 

14  124:! 

1.62 

17  12.82 

1.59 

L>0     c.52 

1  .55 

22  59.47 

1.50 

25  4.",  60 

l.-iti 

28 

33 

11  10.52        .74 

14  15.48 

1.67 

17  15.79 

1.64 

20  11.41 

1.60 

23    2.28 

1.55 

25  48.33 

1.51 

27 

34 

11  13.64;     1.80 

14  18.52 

1.72 

17  18.76 

1.69 

20  14.30 

1.65 

23    5.09 

1.59 

25  51.06 

1.56 

26 

35 

11  16.76 

1.85 

14  21.56 

1.77 

17  21.72 

1.74 

20  17.18 

1.70 

23    7.89 

1.64 

25  53  78 

1.6U 

25 

36 

4  11  19.88 

1.90 

4  14  2460 

1.82 

4  17  24.6- 

1.79 

4  20  20.07 

1.74 

4  23-10.70 

1.68 

4  25  56.51 

1.65 

24 

37 

11  23.00 

1.95 

14  27.64 

1.87 

17  27.64 

1.84 

20  22.95 

1.79 

23  13.50 

1.73 

25  5923 

169 

23 

38 

11  26.12 

2.00 

14  3068 

1.92 

17  30.60 

1.89 

20  25.83 

1.84 

23  1630 

1.77 

26    1.95 

1.74 

22 

39 

11  29.23 

2.05 

14  3372 

1.97 

17  33.56 

1.94 

2')  28  71 

1.88 

23  19.10 

1.P2 

iT,    467 

1.78 

21 

40 

11  32.34 

2.09 

14  3675 

2.03 

17  36.52 

1.!'8 

20  31.59 

1.93 

23  21.90 

ic7 

26    7.39 

182 

20 

41 

4  11  35.45 

2.14 

4  14  39.79 

2.08 

4  17  39.48 

2.03 

4  20  34.47 

1.98 

4  23  24.70 

1.92 

4  26  10.11 

1.87 

19 

42 

11  38.56 

2.19 

14  42.82 

2.13 

17  42.44 

2.08 

20  37.35 

2.02 

23  27.50 

1.96 

26  1283 

1.91 

18 

43 

11  4167 

2.25 

14  45.85 

2.18 

17  45.39 

2.13 

20  40.22 

2.07 

23  30.29 

2.01 

26  15.54 

1.96 

17 

j     44 

11  44.77 

2.30 

14  48.88 

2.23 

17  48.34 

2.18 

20  43.09 

2.12 

23  33.08 

206 

26  18.25 

2.00 

16 

45 

11  47.89 

2.35 

14  51.91 

2.28 

17  51  29 

2.23 

20  45.96 

2.17 

23  35.87 

2.10 

26  20.96 

2.05 

15 

1 

46 

4  11  50.98 

2.40 

4  14  54.95 

233 

4  17  54.24 

228 

4  20  48.83 

2.21 

4  23  38.66 

2.15 

4  26  23.67 

2.09 

14 

47 

11  54.08 

2.45 

14  57.97 

2.38 

17  57.19 

2.33 

20  51.70 

2.26 

23  41.45 

2.20 

26  26.38 

2.14 

13 

48 

11  57.18 

2.50 

15    1.00 

243 

18     0.14 

2.38 

20  54.57 

231 

23  44.24 

2.24 

26  29.09 

2.1  H 

12 

49 

12    0.28 

2.55 

15    4.02 

2.48 

18    3.09 

2.43 

20  57.44 

2.36 

23  47.03 

2.29 

26  31.79 

2.23 

11 

50 

12    3.38 

261 

15     7.04 

2.54 

18    603 

2.48 

21     0.30 

2.41 

23  49.81 

2.34 

26  34.49 

2.28 

10 

51 

4  12    6.48 

2.67 

4  15  10.06 

2.59 

4  18    8.97 

2.53 

4  21     3.17 

2.46 

4  23  52.60 

2.39 

4  26  37.19 

2.32 

9 

52 

12    9.58 

2.72 

15  13.08 

2.64 

18  11.91 

2.58 

21    6.04 

2.50 

23  55.38 

2.43 

26  39.89 

2.36 

8 

53 

12  1268 

2.77 

15  16.10 

2.69 

18  14.85 

2.63 

21     8.89 

2.55 

23  58.16 

2.48 

26  42.59 

2.41 

7 

54 

12  15.77 

2.82 

15  19.12 

2.74 

18  17.79 

2.68 

21   11.75 

2.60 

24     0.94 

2.52 

26  45.29 

2.46 

6 

55 

12  18.86 

2.87 

15  22.13 

2.79 

18  20.73 

2.73 

21  14.61 

2.65 

24    3.72 

2.56 

26  47.99 

2.50 

5 

56 

4  12  21.115 

2.92 

4  15  25.  1.r 

2.84 

4  18  23.67 

2.78 

4  21  17.47 

2.70 

4  24    6.50 

2.61 

4  26  50.69 

2.54 

4 

57 

12  25.04 

2.97 

15  28.16 

2.89 

18  26.61 

2.83 

21  20.33 

2.75 

24     9.28 

2.66 

26  53.39 

2.58 

3 

58 

12  28.13 

3.02 

15  31.17 

2.94 

18  29.54 

2.88 

21  23.19 

2.80 

24  12.05 

2.71 

26  56.09 

9.63 

2 

59 

12  31.22 

3.08 

15  34.1s 

2.99 

18  32.4T 

2.93 

21  26.04 

2.85 

24  14.82 

276 

26  5*  78 

2.68 

1 

60 

12  34.31 

3.13 

15  37.19 

3.05 

18  35.40 

2.98 

.  21  28.89 

2.89 

24  17.59 

2.81 

27     1.48 

2.71! 

0 

125°+ 

194°+ 

123°+ 

122°+ 

121°+ 

12O°+ 

y 

305°— 

3O4°— 

303°- 

302°— 

3O1°— 

30O°— 

y 

343 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  gin  y. 


y 

240°- 
6O°+ 

241°— 

61°+ 

242°- 

62°+ 

24»°— 

63°+ 

244°— 

64°+ 

245°- 

«5°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

P.P. 

Equation. 

P.P. 

Kijuation. 

p.p. 

0 

4  27     i'.47 

n 

0.00 

4°  29  4(')'.47 

0.00 

O        1       tf 

4  32  14.53 

0.00 

4°  34  43(12 

0.00 

4°  37    7.68 

0.00 

4  39  26.69 

d'.oo 

60 

1 

27    4.16 

0.05 

29  43.08 

0.05 

32  17.06 

0.04 

34  46(16 

0.04 

37  10.04 

0.04 

39  2.-.  96      0.04 

59 

2 

•27    6-5 

0.10 

2.1  4.Y69 

0.10 

32  19.59 

0.08 

34  48.50 

0.08 

37  1239 

0.08 

39  31.23 

0.08 

58 

3 

27     954 

0.14 

29  48.30 

0.14 

32  22.11 

0.12 

34  50.94      0.12 

37  1474 

0.12 

39  33.50 

0.12 

57 

4 

27  12.2:$ 

0.18 

29  5(1.90 

0.19 

32  24.63 

0.16 

34  53.3.-      0.16 

37  17.09 

0.16 

39  '35.77     0.16 

56 

5 

27  14.91 

0.22 

29  53.50 

0.23 

32  27.15 

0.20 

34  55.-  1 

0.20 

37  19.45 

0.20 

39  :^.<.\      o.2ii 

55 

6 

4  27  17.r>!i 

0.27 

4  29  56.  JO 

0.27 

4  32  29.67 

0.25 

4  34  58.25 

0.24 

4  37  21,  -il 

0.24 

4  39  40.31      0.23 

54 

7 

27  2(1.27 

0.32 

29  58.70 

0.31 

32  32.19 

0.29 

35    0.68 

0.28 

37  24.15 

0.28 

39  42.58     0.27 

53 

8 

27  2295 

0.36 

30     1.30 

0.35 

32  34.71 

0.33 

35    3.11 

0.32 

37  26.501     0.32 

39  44.84      0.30 

52 

9 

27  25.63 

0.40 

30     3.90 

0.39 

32  37.22 

0.38 

35     5.54 

0.36 

37  2-  -:. 

0.36 

39  47.10      (1.31 

51 

10 

27  28.31 

0.44 

30    6.49 

0.43 

32  39.73 

0.42 

35    7.97 

0.40 

37  31.19 

0.39 

39  49.36 

0.37 

50 

11 

4  27  30.99 

0.48 

4  30    9J09 

0.47 

4  32  42.24 

0.46 

4  35  10.40 

0.44 

4  37  33.S4 

0.43 

4  39  51.62 

0.40 

49 

12 

27  33.67 

0.52 

30  1  1  6- 

0.52 

32  44.75 

0.50 

35  12.  -3 

0.48 

37  3.Y.-9 

0.47 

39  53.88 

0.44 

48 

13 

27  36.34 

0.57 

30  14.27 

0.56 

32  47.26 

0.54 

3.-,   15.26 

0.52 

37  3,-  .23 

0.51 

39  56.14 

0.48 

47 

14 

27  39.01 

0.61 

30  16.86 

0.60 

32  49.77 

0.58 

35  17.69 

0.56 

37  40.57 

(l,->5 

39  58.40 

0.52 

46 

15 

27  41.68 

0.66 

30  19.45 

0.64 

32  52.27 

0.62 

35  20.11 

0.60 

37  42.91 

0.59 

40    0.65 

0.65 

45 

16 

4  27  44.35 

0.70 

4  30  22.04 

0.68 

4  32  54.78 

0.66 

4  35  22.53 

0.64 

4  37  45.25 

0.63 

4  40    2.90 

0,71 

44 

17 

27  4702 

0.74 

30  24.63 

0.73 

32  57.28 

0.70 

35  24.95 

0.68 

37  47.59 

0.67 

40    5.15 

0.63 

43 

18 

•27  49.69 

0.78 

30  27.22 

0.78 

32  59.78 

0.74 

35  27.37 

0.72 

37  49.93 

0.70 

40     7.40 

066 

42 

19 

27  52  :r> 

0.83 

30  29.  -il 

O.H2 

33    2.28 

0.78 

a<5  29.79 

0.76 

37  52.26 

0.74 

40    9.65      0.7(1 

41 

20 

27  55.01 

0.88 

30  32.38 

0.86 

33    4.78 

0.83 

35  32.21 

0.80 

37  54.59 

0.77 

40  11.90     0.74 

40 

M 

4  27  57.67 

0.93 

4  30  34  96 

0.90 

4  33    7.28 

0.87 

4  35  34.63 

0.84 

4  37  56.92 

0.81 

4  40  14.15     0.78 

39 

22 

2-     0.33 

0.97 

30  37.54 

0.94 

33    9.78 

0.91 

35  37.04     0.88 

37  59.25 

a-:, 

40  16.39      II.-.' 

3$ 

21! 

28    2.99 

1.02 

30  40.12 

0.98 

33  12.28 

0.96 

35  39.45      0.92 

38     1.58 

0.89 

40  !Mi3      0.^-5 

37 

24 

28    5.65 

1.07 

30  42.70 

1.03 

33  14.77 

.00 

35  41.  -6      0.96 

38    3.91 

0.93 

40  20.87'     0.89 

36 

8 

28    8.31 

1.11 

30  45.27 

1.08 

33  17.26 

.04 

35  44.27 

1.00 

38    6.23 

0.97 

40  23.11       0.93 

35 

26 

4  28  10.97 

l.lli 

4  30  47.84 

1.12 

4  33  1975 

.08 

4  35  46.68 

1.04 

4  38    8.55 

1.01 

4  40  25.35     0.97 

34 

27 

28  13.63 

1.20 

30  50.41 

1.16 

33  22.24 

.12 

35  49.08 

I.OS 

38  10.87 

1.05 

40  27.59        .00 

:,:; 

28 

28  16.2- 

1.25 

30  53.98 

1.20 

33  21.73 

.16 

35  51.48 

1.12 

3s    13.19 

1.09 

40  29  >3        .04 

32 

2!) 

36    I-.93 

1.29 

30  55.55 

1.24 

33  27  22 

.20 

35  53  ss 

1.16 

:',-    15.51 

1  13 

40  31.C6        .Of 

31 

30 

28 

1.33 

30  58.12 

1.28 

33  29.70 

.25 

35  56.28 

i.a> 

::-  17.-.' 

1.16 

40  34.29 

.12 

30 

31 

4  28  24.23 

1.38 

4  31     0.69 

1.32 

4  33  32.19 

.31 

4  35  58.68 

1.24 

4  38  20.14 

1.20 

4  40  36.62 

.iii 

2!) 

32 

98    2l,  -- 

1.43 

31     3.2li 

1.36 

33  31  .67 

.35 

36     1.08     1.28 

38  2S.4S 

1  .24 

40  38.K5 

.20 

28 

33 

2-  29.53 

147 

31     5.89 

1.41 

33  37.15 

39 

36    3.1- 

1.32 

38  21.76 

1  .'J- 

40  41.08 

.23 

27 

34 

28  32.18 

1.52 

31     -:!- 

1.46 

33  39.63 

.43 

36    6.87 

1.3(i 

38  27.07 

1.32 

40  43.31 

.27 

26 

35 

28  34.82 

1.56 

31  10.94 

1.50 

33  42.11 

.47 

36    8.26 

1.40 

38  29.38 

1.36 

40  45.43 

.30 

25 

36 

4  28  37.46 

1.61 

4  31   13.50 

1.54 

4  33  4I,".9 

SI 

4  36  10.65 

1.44 

4  38  31.69 

.40 

4  40  47.65 

.34 

24 

37 

28  40.10 

1.65 

31  16.06 

1.58 

33  47.07 

.55 

36  13.04 

11- 

38  34.00 

.44 

40  49,-7         38 

23 

38 

K  12  ;  i 

.69 

31   18.62 

1.63 

33  49.54 

.59 

36  15.43 

1  £9 

3-  36.31 

1- 

40  52.09 

II 

22 

w 

96   i  .  '- 

.73 

31   21.1*      1.67 

33  :,1-1 

.63 

36  17  33 

i  ,-.t; 

38  38.61 

69 

40  54.31 

.46 

21 

41) 

28  4-i2 

.77 

31  23.73 

1.71 

33  54.48 

.66 

36  20.21 

Mill 

38  40.91 

.55 

40  56.53 

.49 

2(i 

41 

4  28  50.66 

.82 

4  31  26.28 

175 

4  33  56.9.-, 

.70 

4  36  22.60 

1.64 

4  38  43.21 

.59 

4  40  58.75 

.53 

19 

42 

.86 

31  •_'-  33 

I.-'O 

33  59  12 

.74 

36  24.99 

1.6- 

3-  4551 

(i:', 

41      0.97 

.57 

18 

43 

.91 

31  31.3- 

1.84 

34     1  89 

7- 

36  27  :',-' 

1.79 

38  47.81 

.67 

41     3.18 

,60 

17 

44 

.96 

31  33.93 

1.88 

34    •!.:«; 

.82 

36  29.76     1.76 

38  50.11 

.71 

41     5.39 

.64 

16 

45 

29    1.18 

2.00 

31    36,1." 

1.92 

34     (i-.' 

.86 

36  32.14 

130 

38  52.41 

.75 

41     7.60 

68 

15 

46 

4  29 

2.04 

4  31   39.1)3 

1.% 

4  34     9.29 

.92 

4  36  34.68 

1.84 

4  38  51.71 

.79 

4  41     9-1 

.71 

14 

47 

-.':i     (ill 

9,09 

31  41.:.- 

2.01 

34  11.75 

as 

36  36.JNI 

1  -- 

3-  57.01 

-:: 

41   1211-.'        71 

13 

1- 

99     '.'"7      2.13 

31  44.12     2.06 

34  14.21 

2.00 

:«;  39.2- 

1.92 

3.-  59.311         .H7 

41    14  .23        .7- 

12 

40 

99   11.69      2.17 

31     1666       2.10 

34  16.67 

9.04 

36  41  .66      1  96 

39      1.59         .91 

41    16  13 

11 

BO 

29  1  1.31      2.21 

31    49.20 

2.14 

34  19.13 

211- 

36  44.03 

2.00 

39     3—      1.94 

41    1-.63        ,-6 

10 

51 

4  29   1 

•1   31    51.74 

2.19 

4  34  21.59 

2.12 

4  36  46.40 

2.04 

4  39    6.17      1.98 

4  41  20-3 

90 

9 

29    19.55 

2.30 

31    :,I2-      2.23 

31  24.05 

9.16 

36  4-77 

2.06 

39    8.46     9.09 

41    " 

.93 

8 

99  28  13 

2  3.-, 

31   5682      2.27 

34  2'.:,'i 

2.20 

36  51  II 

2.12 

39   10.75      2.06 

41  25.23        .97 

7 

99  94.79 

31  59.x,     2.32 

34  2-.9.;, 

'."-'I 

36  53.51 

2.16 

39   13.113 

2.10 

41   27,13      2.00 

6 

EG 

•.'  '  27.41 

2.44 

32     I.*"      2.:!(i 

31  3I.4H 

22- 

36 

2.20 

39  15.31 

2.14 

41   29.(i3 

2.04 

6 

i  21  30.03   •.'  i- 

4  32    4.41      2.40 

4  34  33,-:, 

2.32 

4  36  58.24 

2.24 

4  39  17.59 

9.18 

4  41    31  83 

946 

4 

99  :'.•-'  (il     251 

6.94     211 

31 

9.36 

37     0.60 

39   19-7 

41   31  82      2.12 

3 

•.'  '  35.25 

•l  58 

32     9,13 

24- 

34  38.74 

2.40 

37     2.96 

232 

39 

41    3621 

9.16 

2 

BO 

.,,,, 

32  19.00 

31  41.18 

2.44 

37 

9.36 

39   24   I'.'       •-'•-'" 

•11    3.-.40 

2SO 

1 

60 

2ii  -in  ir 

2.65 

32  14.53 

257 

34  43.62]     2.49 

37    7.68     2.40 

39  26  I.1' 

41   4059 

2.23 

0 

119°+ 

118°+ 

117°+ 

116°+ 

113°+ 

114°+ 

y 

299°— 

298°- 

297°— 

296°— 

295°— 

294°- 

y 

344 


TABLE  CXXXVII.    ARGUMENT  77, 


Equation  =  18500"  sin  y. 


246°— 

247°— 

248°— 

249'— 

25O°— 

251°— 

y 

66°+ 

67°+ 

68°+ 

69'+ 

7O°+ 

71°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.  p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

0 

4°  41  40"59 

0.00 

I  43  40".34 

0.00 

4  45  52.00 

o.'oo 

O         1          H 

4  47  51.23 

o!oo 

O        1          n 

4  40  44.31 

0.00 

4  51  32.10 

0.00 

GO 

1 

41  42.78 

0.04 

43  51.44 

0.04 

45  54.02 

0.03 

47  53.16 

0.03 

40  46.15 

0.03 

51  33.85 

0.03 

59 

2 

41  44.97 

0.08 

43  53.54 

0.08 

45  56.03 

0.06 

47  55.09 

0.06 

40  47.99 

0.06 

51  35.60 

0.06 

58 

3 

41  47.16 

0.12 

43  55.64 

0.11 

45  58.04 

0.00 

47  57.01 

0.00 

49  49.83 

0.00 

51  37.35 

0.09 

57 

4 

41  4!).:!4 

0.15 

43  57.74 

0.14 

46    0.95 

0.12 

47  58.93 

0.12 

49  51.66 

0.12 

51  3il.(  1:1 

0.12 

56 

5 

41  51.52 

0.18 

43  59.84 

0.18 

46    2.96 

0.16 

48    0.85 

0.15 

49  53.49 

0.15 

51  40.83 

0.15 

55 

6 

4  41  53.70 

0.22 

4  44    1.94 

0.21 

4  46    4.97 

0.20 

4  48    2.77 

0.18 

4  49  55.32 

0.18 

4  51  42.57 

0.18 

54 

7 

41  55.88 

0.25 

44     4.03 

0.25 

46    6.98 

033 

48    4.69 

0.21 

49  57.15 

0.21 

51  44.31 

0.21 

53 

8 

41  58.06 

0.20 

44    6.12 

0.28 

46    8.98 

0.26 

48    6.61 

0.24 

49  58.98 

0.24 

51  46.05 

0.24 

52 

9 

42    0.24 

0.33 

44    8.21 

0.31 

46  10.98 

0.30 

48     8.53 

0.28 

50    0.81 

0.27 

51  47.79 

0.27 

51 

10 

42    2.41 

0.36 

44  10.30 

0.34 

46  12.98 

0.33 

48  10.44 

0.32 

50    2.64 

0.30 

51  49.53 

0.20 

50 

11 

4  42    4.53 

0.40 

4  44  12.39 

0.38 

4  46  14.98 

0.36 

4  48  12.35 

0.35 

4  50    4.47 

0.33 

4  51  51.27 

0.32 

49 

13 

42    6.75 

0.43 

44  14.48 

0.41 

46  16.98 

0.40 

48  14.26 

0.38 

50    6.30 

0.36 

51  53.00 

0.35 

48 

13 

42    8.92 

0.47 

44  16.56 

0.44 

46  18.98 

0.43 

48  16.17 

0.41 

50    8.12 

0.39 

51  54.73 

0.38 

47 

14 

42  11.00 

0.51 

44  18.64 

0.48 

46  20.97 

0.47 

48  18.08 

0.44 

50    9.94 

0.42 

51  56.46 

0.41 

46 

15 

42  13.26 

0.54 

44  20.72 

0.52 

46  22.97 

0.50 

48  19.99 

0.47 

50  11.76 

0.45 

51  58.19 

0.43 

45 

16 

4  42  15.43 

0.58 

4  44  22.80 

0.55 

4  46  24.97 

0.53 

4  48  21.90 

0.50 

4  50  13.58 

0.48 

4  51  59.92 

0.46 

44 

17 

42  17.60 

0.62 

44  24.88 

0.58 

46  26.96 

0.56 

48  23.81 

0.53 

50  15.40 

0.51 

52     1.65 

0.40 

43 

18 

42  10.76 

0.66 

44  26.06 

0.61 

46  28.95 

0.60 

48  25.71 

0.56 

50  17.22 

0.54 

52    3.38 

0.51 

42 

19 

42  21.02 

0.60 

44  29.04 

0.65 

46  30.94 

0.63 

48  27.61 

0.60 

50  19.03 

0.57 

52    5.10 

0.54 

41 

20 

42  24.08 

0.72 

44  31.11 

0.60 

46  32.93 

0.66 

48  29.51 

0.63 

50  20.84 

0.60 

52    6.82 

0.57 

40 

21 

4  42  26.24 

0.76 

4  44  33.18 

0.72 

4  46  34.02 

0.69 

4  48  31.41 

0.66 

4  50  22.65 

0.63 

4  52    8.54 

0.60 

39 

•w 

42  28.40 

0.80 

44  35.25 

0.76 

46  36.91 

0.73 

48  33.31 

0.60 

50  24.46 

0.66 

52  10.26 

0.63 

38 

23 

42  30.56 

0.83 

44  37.32 

0.80 

46  38.89 

0.76 

48  35.21 

0.72 

50  26.27 

0.69 

52  11.98 

0.66 

37 

2-1 

42  32.71 

0.86 

44  39.39 

0.83 

46  40.87 

0.80 

48  37.10 

0.75 

50  28.08 

0.72 

52  13.70 

0.60 

36 

25 

42  34.86 

0.90 

44  41.46 

0.87 

46  42.85 

0.83 

48  38.99 

0.78 

50  29.88 

0.75 

52  15.42 

0.72 

35 

26 

4  42  37.01 

0.94 

4  44  43.53 

0.90 

4  46  44.83 

0.86 

4  48  40.88 

0.81 

4  50  31.68 

0.78 

4  52  17.14 

0.75 

34 

27 

42  30.16 

0.98 

44  45.50 

094 

46  46.81 

0.90 

48  42.77 

0.84 

50  33.48 

0.81 

52  18.86 

0.78 

33 

28 

42  41.31 

1.01 

44  47.65 

0.97 

46  48.78 

0.93 

48  44.66 

0.88 

50  35.28 

0.84 

52  20.57 

0.81 

32 

20 

42  415.46 

1.04 

44  49.71 

1.00 

46  50.75 

0.06 

48  46.54 

0.91 

50  37.08 

0.87 

52  22.28 

0.84 

31 

30 

42  45.61 

1.07 

44  51.77 

1.03 

46  52.72 

0.99 

48  48.42 

0.95 

50  38.87 

0.90 

52  23.99 

.0.86 

30 

31 

4  42  47.76 

1.  11 

4  44  53.83 

1.07 

4  46  5460 

1.02 

4  48  50.30 

0.98 

4  50  40.67 

0.93 

4  52  2570 

0.89 

29 

32 

42  40.01 

1.14 

44  55  89 

1.11 

46  56.66 

1.06 

48  52.18 

1.01 

50  42.46 

0.96 

52  27.41 

0.02 

28 

33 

42  52.05 

1.18 

44  57.95 

1.14 

46  58.63 

.00 

48  54.06 

1.04 

50  44.25 

0.99 

52  20.12 

0.94 

27 

34 

42  54.10 

1.22 

45    0.00 

1.17 

47     0.60 

.12 

48  55.94 

1.07 

50  46.04 

1.02 

52  30.82 

0.07 

26 

35 

42  56.33 

1.25 

45    2.05 

1.20 

47    2.56 

.16 

48  57.82 

1.10 

50  47.83 

1.05 

52  32.52 

1.00 

25 

36 

4  42  58.47 

1.28 

4  45    4.10 

1.24 

4  47    4.53 

.19 

4  48  59.70 

1.13 

4  50  49.62 

1.08 

4  52  34  22 

1.03 

24 

37 

43    0.61 

1.32 

45    6.15 

1.27 

47    6.40 

.23 

49    1.58 

1.16 

50  51.41 

III 

52  35.02 

1.06 

23 

38 

43    2.75 

1.36 

45    820 

1.30 

47    8.45 

.26 

49    3.45 

1.19 

50  53.20 

1.14 

52  37.62 

1.09 

22 

3!) 

43    4.88 

1.30 

45  10.25 

1.33 

47   10.41 

.29 

49    5.32 

1.22 

50  54.08 

1.17 

-  52  30.31 

1.11 

21 

40 

43    7.01 

1.43 

45  12.2!) 

1.37 

47  12.37 

.32 

49    7.19 

1.26 

50  56.76 

1.20 

52  41.00 

1.14 

20 

41 

4  43    9.14 

1.47 

4  45  14.34 

1.40 

4  47  14.33 

.35 

4  49    9.06 

1.29 

4  50  58.54 

1.23 

4  52  4269 

1.17 

19 

42 

43  11.27 

1.50 

45  16.38 

1.44 

47  16.20 

.38 

49  10.93 

1.32 

51    0.32 

1.26 

52  44.38 

1.20 

18 

43 

43  13.40 

1.54 

45  18.42 

1.47 

47  18.24 

.42 

40  12.80 

1.35 

51     2.10 

1.29 

52  46.07 

1.22 

17 

44 

43  15.52 

1.57 

45  20.46 

1.50 

47  20.10 

45 

40  14.67 

1.38 

51     3.87 

1.32 

52  47.75 

.25 

16 

45 

43  17.64 

1.60 

45  22.50 

1.54 

47  22.14 

.48 

40  16.53 

1.41 

51    5.05 

1.35 

52  49.93 

.28 

15 

46 

4  43  10.76 

.63 

4  45  24.54 

1.58 

4  47  24.00 

.51 

4  49  18.39 

1.44 

4  51     743 

1.38 

4  52  51.11 

.31 

14 

47 

4:1  -21  .8H 

.67 

45  26.58 

1.61 

47  26.04 

.54 

40  20.25 

.47 

51     9.20 

1.41 

52  52.79 

.34 

13 

48 

43  24.00 

.71 

45  28.61 

1.64 

47  27.09 

.57 

49  22.11 

.50 

51  10.97 

1.44 

52  54.47 

.37 

12 

49 

43  26.12 

.75 

45  30.64 

1.68 

47  29.93 

61 

40  23.87 

.53 

51   12.74 

1.47 

52  56.15 

.40 

11 

50 

43  28.24 

.79 

45  32.67 

1.72 

47  31.87 

.65 

40  25.83 

.57 

51  14.51 

1.50 

52  57.83 

.43 

10 

51 

4  43  30  36 

.83 

4  45  34.70 

1.76 

4  47  33.81 

.68 

4  40  27.60 

.60 

4  51  16.28 

1.53 

4  52  59.51 

.46 

9 

52 

43  3248!       .86 

45  3(1.73 

1.79 

47  35.75 

.72 

49  20.54 

.63 

51  18.05 

l.r,6 

53     1.10 

.40 

8 

53 

43  3459i       .00 

45  38.76 

1.83 

47  3760 

.75 

49  31.39 

.66 

51  10.8.1 

1.59 

53    2.86        .52 

7 

54 

43  36.70 

.94 

45  40.78 

1.86 

47  30.63 

.79 

49  33.24 

.60 

51  21.57 

1.62 

53    4.53|       .54 

6 

55 

43  3si.81 

.98 

45  42.80 

1.90 

47  41.57 

.81 

49  35.09 

.72 

51  23.33 

1.65 

53    6.20 

.57 

5 

56 

4  43  40.02 

2.01 

4  45  44.82 

1.03 

4  47  43.51 

.84 

4  49  36.94 

.75 

4  51  25.00 

1.68 

4  53    7.87 

.60 

4 

57 

43  43.113 

2.05 

45  46.84 

1.07 

47  45.44        .87 

49  38.70 

.78 

51  26.85 

1.71 

53    9.54  i       .63 

3 

58 

43  45.14 

2.00 

45  48.86 

2.00 

47  47.37        .90 

49  40.63 

.82 

51   28.60 

1.74 

53  11.211       .(i(i 

2 

59 

43  47.24 

2.12 

45  50.88 

2.03 

47  49.30        .94 

49  42.47 

.85 

51  30.35 

1.77 

53  12.88J      .60 

1 

60 

43  40.34 

345 

45  52.90 

2.06 

47  51.23     1.98 

40  44.31 

.80 

51  32.10 

1.80 

53  14.54      1.  71 

0 

113°+ 

112°+ 

1U°+ 

110°+ 

109°+ 

108°+ 

y 

293°- 

292°— 

291°- 

29O°— 

289°— 

288°— 

y 

345 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  gin  y. 


253'— 

253°- 

254°— 

255°— 

256°— 

257°— 

9 

72°+ 

73'+ 

74°+ 

73°+ 

76°+ 

77°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

P.P. 

0 

4°  53  14.54 

tf.00 

o      /      j| 

4  54  51.64 

o'.oo 

O        1       11 

4  56  23.35 

0.00 

4°  57  49.63 

o'.oo 

4  59  10.47 

0.00 

O        1        II 

5    0  25.84 

0.00 

60 

1 

53  16.20 

0.03 

54  53.21 

0.03 

56  24.83 

0.03 

57  51.02 

0.02 

59  11.77 

0.02 

0  27.04 

0.02 

59 

2 

r,:s  17.86 

0.06 

54  54.78 

0.06 

56  26.31 

O.U6 

57  52.41 

0.04 

59  13.07 

0.04 

0  28.25 

0.04 

68 

3 

53  l!i.52 

0.09 

54  56.35 

0.09 

56  27.79 

0.08 

57  53.80 

0.07 

59  14.37 

0.06 

0  29.46 

O.f6 

57 

4 

53  21.lf> 

0.12 

54  57.92 

0.12 

56  29.27 

0.11 

57  55.19 

0.09 

59  15.67 

0.08 

0  30.67 

0.08 

56 

5 

513  22.84,     0.15 

54  59.49 

0.14 

56  30.75 

0.13 

57  56.58 

0.12 

59  16.96 

0.10 

0  31.fe8 

0.1U 

55 

6 

4  53  24.50 

0.17 

4  55    1.06 

0.17 

4  56  32.23 

0.15 

4  57  57.97 

0.14 

4  59  18.25 

0.12 

5    0  33.08 

0.12 

54 

7 

53  26.15 

0.20 

55    2.62 

0.20 

56  33.70 

0.18 

57  59.35 

0.17 

59  19.54 

0.14 

0  34.28 

0.14 

53 

8 

53  27V8D 

0.23 

55    4.18 

0.22 

56  35.17 

0.20 

58     0.73 

0.19 

59  20.83 

0.17 

0  35.48 

0.16 

52 

9 

53  29.45 

0.25 

55    5.74 

0.24 

56  36.64 

0.22 

58    2.11 

0.21 

59  22.12 

0.19 

0  36.68 

0.18 

51 

10 

53  31.10 

057 

55    7.30 

0.26 

56  38.11 

0.24 

58     3.49 

0.23 

59  23.41 

0.21 

0  37.88 

U.I!) 

50 

11 

4  53  32.75 

0.30 

4  55    8.86 

0.28 

4  56  39.58 

0.27 

4  58    4.87 

0.25 

4  59  24.70 

0.23 

5    0  39.07 

0.21 

49 

12 

53  34.40 

0.32 

55  10.42 

0.31 

56  41.05 

0.30 

58    6.24 

0.27 

59  25.99 

0.25 

0  40.26 

0.23 

48 

13 

53  36.04     0.35 

55  11.97 

0.34 

56  42.51 

0.32 

58    7.61 

0.30 

59  27.27 

0.27 

0  41.45 

025 

47 

14 

53  37.64     0.37 

55  13.52 

0.36 

56  43.97 

0.3-1 

58    8.98 

0.32 

59  28.55 

0.29 

0  42.04 

0.27 

46 

15 

53  39.32 

0.40 

55  15.07 

0.38 

56  45.43 

0.36 

58  10.35 

0.34 

59  29.83 

0.32 

0  43.83 

0.29 

45 

16 

4  53  40.96 

0.4?" 

4  55  16.62 

0.41 

4  56  46.89 

0.38 

4  58  11.72 

0.37 

4  59  31.11 

0.34 

5     0  45.02 

0.31 

44 

17 

53  4260     0.4a 

55  18.17     0.43 

56  48.35 

0.41 

58  13.09 

0.39 

59  32.39 

0.36 

0  46.21 

0.33 

43 

18 

53  44.24 

0.48 

55  19.7:> 

0.45 

56  49.81 

0.43 

58  J4.45 

0.41 

59  33.67 

0.38 

0  47.39 

0.35 

42 

w 

53  4588 

0.51 

55  21.26 

0.48 

56  51.27 

0.45 

58  15.81 

0.43 

59  34.94 

0.40 

0  48.57 

0.37 

41 

21 

53  47.51 

0.54 

55  22.80 

051 

56  52.72 

0.48 

58  17.17 

0.45 

59  36.21 

0.42 

0  49.75 

0.39 

40 

21 

4  53  49.14 

0.57 

4  55  24.34 

0.54 

4  56  54.17 

0.51 

4  58  18.53 

0.47 

4  59  37.48 

0.44 

5    0  50.93 

0.41 

39 

22 

53  50.77 

0.60 

55  25.88 

0.57 

56  55.62 

0.53 

58  19.89 

0.49 

59  38.75 

0.46 

0  52.11 

0.43 

1)8 

23 

53  52.40 

0.63 

55  27.42 

0.60 

56  57.07 

0.56 

58  21.25 

0.52 

59  40.02 

0.48 

0  53.29 

0.45 

37 

24 

53  54.03 

0.65 

55  28.96 

0.62 

56  58.52 

0.58 

58  22.61 

0.54 

59  41.29 

0.50 

0  54.46 

0.47 

36 

25 

53  55.66 

0.68 

55  30.50 

0.65 

56  59.97 

0.60 

58  23.96 

0.56 

59  42.55 

0.53 

0  55.63 

0.49 

35 

26 

4  53  57.28 

0.71 

4  55  32.04 

0.68 

4  57    1.41 

0.63 

4  58  25.32 

0.59 

4  59  43.81 

0.55 

5    0  56.80 

0.51 

34 

27 

53  ,>.!MI 

0.73 

55  33.58 

0.70 

57    2.85 

0.65 

58  26.68 

0.61 

59  45.117 

0.57 

0  57.H7 

0.53 

33 

28 

54     052 

0.76 

55  35.11 

0.72 

57    4.29 

0.68 

58  28.03 

0.63 

59  46.33 

0.69 

0  59.14 

0.55 

32 

2!» 

54    2.14 

0.79 

55  36.64 

0.74 

57    5.73 

0.70 

68  29.38 

0.65 

59  47.59 

0.61 

1    0.31 

0.57 

31 

30 

54    3.76 

0.81 

55  38.17 

0.76 

57    7.17 

0.72 

58  30.73 

0.68 

59  48.84 

0.63 

1     1.47 

0.58 

30 

31 

4  54    5.33 

0.84 

4  55  39.70 

0.79 

4  57    8.61 

0.75 

4  58  32.08 

0.70 

4  59  50.17 

0.65 

5    1    2.G3 

0.60 

29 

32 

54    7JOO 

0.86 

55  41.23 

0.81 

57  10.05 

0.77 

58  33.43 

0.72 

59  51.35 

0.67 

1    3.79 

0.62 

28 

33 

54    8.61 

0.89 

55  42.76 

0.84 

57  11.48 

0.80 

58  34.78 

0.75 

59  52.6( 

0.69 

1    4.95 

0.64 

27 

34 

54  10.22 

0.92 

55  44.28 

0.86 

57  12.91 

0.82 

58  36.12 

0.77 

59  53.85 

0.72 

1     6.11 

0.66 

96 

35 

54  11.83 

0.95 

55  45.80 

0.88 

57  14.34 

0.84 

58  37.46 

0.79 

59  55.10 

0.74 

1     7.27 

0.68 

25 

36 

4  54  13.44 

0.97 

4  55  47.32 

0.91 

4  57  15.77 

0.87 

4  58  38.80 

0.81 

4  59  56.35 

0.76 

5    1    8.43 

0.70 

24 

37 

54  15.05 

1.00 

55  48.84 

0.94 

57  1750 

0.90 

58  40.14 

0.83 

59  57.60 

0.78 

1     9.59 

0.72 

93 

38 

54  16.66 

1.03 

55  50.36 

1.97 

57  18.63 

0.92 

58  41.48 

0.85 

59  58.84 

0.80 

1  10.74 

0.74 

22 

39 

54  18.27 

1.06 

55  51.88 

1.00 

57  20.05 

0.94 

58  42.81 

0.87 

5    0    0.08 

0.82 

1  11.89 

(1.76 

21 

40 

54  19.87 

1.08 

55  53.39 

1.02 

57  21.47 

0.96 

58  44.14 

0.90 

0    1.32 

0.84 

1  13.04 

0.77 

20 

41 

4  54  21.47 

1.11 

4  55  54.90 

1.05 

4  57  2259 

0.98 

4  58  45.47 

0.92 

5    0    2.r,6 

0.86 

5         14.19 

0.79 

1!) 

42 

54  23.07 

1.14 

55  56.41 

1.07 

57  24.31 

.00 

58  46.80 

0.94 

0    3.80 

0.88 

15.34 

0.81 

18 

43 

54  24.li7 

1.16 

55  57.!  12 

1.10 

57  25.73 

.03 

58  48.13 

0.97 

0    5.04 

0.90 

16.49 

0.83 

17 

44 

54  26.27 

1.19 

55  5!i.  l:i 

1.12 

57  27.15 

.05 

58  49.45 

0.99 

0    6.28 

0.93 

17.63 

0.85 

16 

45 

54  27.87 

i.yi 

56    0.93 

1.14 

57  28.57 

.08 

58  50.77 

1.01 

0    7.51 

0.95 

18.77 

0.87 

15 

46 

4  54  29,17 

1.24 

4  5G    1.44 

1.17 

4  57  29.98 

.10 

4  58  52.09 

.04 

5    0    8.74 

0.97 

5         19.91 

0.89 

14 

47 

54  :II.IH, 

1.27 

56     3.94 

1.19 

57  31.39 

.12 

58  53.41 

.06 

0    9.97 

0.99 

21.05 

0.91 

13 

4- 

.M  :!•.'.<;:, 

1.29 

56    5.44 

1.22 

57  M.*) 

.15 

58  54.73 

.09 

0  11.20 

1.01 

22.19 

0.93 

12 

49 

54  34.24 

1.32 

56    6.94 

1.36 

57  33.21 

.18 

:,-  56.05 

.11 

0  12.43 

1.03 

23.33 

0.96 

11 

50 

54  35.83 

1.35 

56    8.44 

1.28 

57  35.62 

.20 

58  57.117 

.13 

0  13.66 

1.05 

2-1.46 

0.1)7 

10 

51 

4  54  37.42 

1.38 

4  56    9.94 

1.31 

4  57  37.03 

.23 

4  58  58.69 

1.15 

5    0  14.89 

1.07 

5        25.59 

0.99 

9 

52 

."•4  3:i.OI 

1.40 

56  11.44 

1.33 

;,7  :KII 

.25 

5!)     0.01 

1.17 

0  16.11 

1.09 

%  12 

1.01 

8 

53 

54  40.51* 

1.43 

56  12.93 

1.36 

.-,7  39.f  i 

.28 

59    1.32 

1.20 

0  17.33 

1.11 

27.85 

1.03 

7 

54 

54  42.17 

1.46 

56  14.42 

1  .:t- 

57  41.24 

.30 

59    2.63 

.22 

0  18.55 

1.14 

38.96 

1.06 

6 

M 

54  43.75 

1.48 

56  15.91 

1.40 

57  42.64 

.32 

59     3.94 

.24 

0  19.77 

1.16 

30.11 

1.07 

5 

66 

4  5-1  45.33 

1.51 

4  56  17.40 

1.43 

4  57  44.04 

.34 

4  59    5J25 

.27 

5    0  20.99 

1.18 

5         31.24 

1.09 

4 

:.7 

54  46.111 

1.53 

66  i-.-1 

U6 

57  45.44 

.36 

59     6.56 

39 

0  22.21 

1.20 

32.:!" 

1.11 

3 

58 

:.i  1-  \' 

L56 

56  20.38 

ii- 

57  -1(1*1 

.38 

59     7.87 

.31 

0  23.42 

1.22 

33.49 

1.13 

2 

54  50.07 

LGO 

56  21  87 

1.51 

57  48.24 

.40 

59     9.17 

.33 

0  24.63 

1.24 

34.61 

l.i:, 

1 

60 

54  51.04 

1.69 

56  23.35 

1.53 

57  49.63 

•44 

59  10.47 

1  .35 

0  25.84 

1.26 

1  3573 

1.16 

0 

107°+ 

lOO'-f 

105°+ 

104°+ 

1O3°+ 

IO2°+ 

f 

287°— 

286°— 

285°— 

284°- 

283°— 

282°— 

i 

346 


TABLE  CXXXVII.    ARGUMENT  IT,' 

Equation  =  18500"  sin  y. 


258°— 

259°— 

26O°— 

261°— 

262°— 

263°— 

y 

78°+ 

79°+ 

8O°+ 

81°+ 

82°+ 

88°+ 

y 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

d 

p      i      » 
5     1  35.73 

0.00 

5     2  40".10 

o!bo 

5     3'  38.94 

0:60 

5°    i  32.23 

0.00 

O       J          II 

5    5  19.96 

0.00 

5    6*    2.10 

o'h 

63' 

i 

1  36.85 

0.02 

2  41.13 

0.02 

3  39.87 

0.01 

4  33.07 

0.01 

5  20.71 

0.01 

6    2.75 

0.01 

59 

2 

1  37.97 

0.04 

2  42.16 

0.04 

3  40.80 

0.03 

4  33.91 

0.03 

5  21.46 

0.02 

6    3.40 

O.f2 

58 

3 

1  30.09 

0.05 

2  43.18 

0.05 

3  41.73 

0.04 

4  34.75 

0.04 

5  22.21 

0.03 

6    4.05 

O.C3 

57 

4 

1  40.20 

0.07 

2  44.20 

0.07 

3  42.66 

0.06 

4  35.58 

0.05 

5  22.95 

0.04 

6    4.70 

O.C4 

56 

5 

1  41.31 

0.09 

2  45.22 

0.08 

3  43.59 

0.07 

4  36.41 

0.06 

5  23.69 

0.05 

6    5.35 

O.C5 

55 

6 

5        42.42 

0.11 

5    2  46.24 

0.10 

5    3  44.52 

0.09 

5     4  37.24 

0.07 

5    5  24.43 

0.07 

5    6    6.rp 

0.06 

54 

7 

43.53 

0.12 

2  47.26 

0.12 

3  45.44 

0.10 

4  38.00 

0.09 

5  25.17 

0.08 

6    G.C."j 

0.1.7 

53 

8 

44.64 

0.14 

2  48.28 

0.13 

3  46.36 

0.11 

4  38.90 

0.10 

5  25.90 

0.09 

6    7.29 

0.08 

52 

9 

45.75 

0.16 

2  49.29 

0.14 

3  47.28 

0.13 

4  39.73 

0.11 

5  26.63 

0.10 

6    7.93 

0.09 

51 

10 

46.85 

0.18 

2  50.30 

0.16 

3  48.20 

0.15 

4  40.56 

0.13 

5  27.36 

0.12 

6    857 

0.10 

50 

11 

5        47.95 

050 

5     2  51.31 

0.17 

5    3  49.12 

0.16 

5    4  41.39 

0.14 

5    5  28.10 

0.13 

5    6    9.21 

0.11 

49 

12 

49.05 

0.22 

2  52.32 

0.18 

3  50.04 

0.18 

4  42.22 

0.15 

5  28.83 

0.14 

6    9.85 

0.12 

48 

Ki 

50.15 

0.23 

2  53.33 

0.20 

3  50.96 

0.19 

4  43.04 

0.17 

5  29.56 

0.15 

6  10.49 

0.13 

47 

14 

51.25 

0.25 

2  54.33 

0.22 

3  51.87 

0.21 

4  43.86 

0.18 

5  30.2! 

0.16 

6  11.13 

0.14 

46 

15 

52.34 

0.27 

2  55.33 

0.23 

3  52.78 

0.22 

4  44.68 

0.19 

5  31.02 

0.18 

6  11.76 

0.15 

45 

16 

5        53.43 

0.28 

5    2  56.33 

0.25 

5    3  53.69 

0.24 

5    4  45.50 

0.21 

5    5  31.74 

0.19 

5    6  12.39 

0.16 

44 

17 

54.52 

0.30 

2  57.33 

0.27 

3  54.60 

0.25 

4  46.32 

0.22 

5  32.46 

0.20 

6  13.02 

0.17 

43 

18 

55.61 

0.32 

2  58.33 

0.00 

3  55.51 

0.26 

4  47.14 

0.23 

5  33.18 

0.21 

6  13.65 

0.18 

42 

19 

56.70 

0.34 

2  59.33 

0.30 

3  56.42 

0.28 

4  47.95 

0.25 

5  33.!'0 

0.22 

6  14£!? 

0.19 

41 

20 

57.79 

0.36 

3    0.33 

0.33 

3  57.32 

0.29 

4  48.76 

0.26 

5  34.62 

O.S23 

6  14.90 

0.20 

40 

21 

5        58.88 

0.33 

5    3    1  .33 

0.35 

5    3  53.22 

0.39 

5    4  49.57 

0.27 

5    5  35.34 

0.24 

5    6  15.53 

0.21 

39 

22 

59.97 

0.40 

3    2.32 

0.37 

3  59.12 

0.32 

4  50.38 

0.29 

5  36.06 

0.25 

6  16.15 

0.22 

38 

23 

2     1.05 

0.41 

3    331 

0.38 

4    0.02 

0.33 

4  51.19 

0.30 

5  36.77 

0.26 

(i   Ki.77 

0.23 

37 

24 

2    2.13 

0.43 

3    4.30 

0.40 

4    0.92 

0.35 

4  51.9!) 

0.31 

5  37.48 

O.S7 

6  IT1.^ 

0.24 

36 

25 

2    3.21 

0.45 

3    5.29 

0.41 

4     1.82 

0.36 

4  52.79 

0.33 

5  38.19 

0.29 

6  18.01 

0.25 

35 

26 

5    2    4.29 

0.46 

5    3    6.28 

0.43 

5    4    2.72 

0.37 

5    4  53.50 

0.34 

5    5  38.00 

0.30 

5    6  18.63 

0.26 

34 

27 

2    5.37 

0.48 

3    7.27 

0.44 

4    3.61 

0.39 

4  54.39 

0.35 

5  39.61 

0.31 

6  19.y4 

0.27 

33 

28 

2    6.45 

0.50 

3    8.25 

0.46 

4    4.50 

0.40 

4  55.19 

0.37 

5  40.32 

0.32 

6  19.85 

0.28 

32 

29 

2    7.53 

0.52 

3    9.23 

0.47 

4    5.39 

0.42 

4  55.99 

0.38 

5  41.03 

0.33 

6  20.46 

0.29 

31 

30 

2    8.61 

0.54 

3  10.21 

0.48 

4    6.28 

0.44 

4  56.79 

0.40 

5  41.73 

0.35 

6  21.07 

0.30 

30 

31 

5    2    9.68 

0.56 

5    3  11.19 

0.51 

5    4    7.17 

0.45 

5     4  57.59 

041 

5    5  49.4H 

f"6 

5    6  21  68 

o   ; 

29 

32 

2  10.75 

0.58 

3  12.17 

0.52 

4    8.06 

0.47 

4  58.38 

0.42 

5  43.1: 

(.:7 

(i  £259 

i;.:-j 

28 

33 

2  11.82 

0.59 

3  13.15 

0.54 

4    8.94 

0.48 

4  59.17 

0.44 

5  43.83 

0.38 

6  22.89 

0.33 

27 

34 

2  12.89 

0.61 

3  14.12 

0.55 

4    9.82 

0.50 

4  59.96 

0.45 

5  44.53 

0.40 

6  23.49 

0.34 

26 

35 

2  13.96 

0.63 

3  15.09 

0.57 

4  10.70 

0.51 

5    0.75 

0.46 

5  45.22 

0.41 

6  24.09 

0.35 

25 

36 

5    2  15.03 

0.65 

5    3  16.06 

0.59 

5    4  11.58 

0.53 

5    5     1.54 

0.48 

5    5  45.91 

0.42 

5    6  2469 

0.36 

24 

37 

2  16.09 

0.66 

3  17.03 

0.60 

4  12.46 

0.54 

5    2.33 

0.49 

5  46.60 

0.44 

6  25.29 

0.37 

23 

38 

2  17.15 

0.68 

3  1800 

0.62 

4  13.34 

0.56 

5    3.11 

0.50 

5  47.29 

0.45 

6  25.89 

0.38 

22 

39 

2  18.29 

0.70 

3  18.97 

0.64 

4  14.21 

0.57 

5     3.69 

0.51 

5  47.9^ 

0/6 

C  26.49 

0.39 

21 

40 

2  19.27 

0.72 

3  19.94 

0.65 

4  15.08 

0.59 

5    4.67 

0.53 

5  4tf.67 

li.47 

6  27.08 

0.40 

20 

41 

5    2  20.33 

0.74 

5    3  20.91 

0.66 

5    4  15.95 

0.60 

5    5    5.45 

0.54 

5    5  49.36 

0.48 

5    62767 

0.41 

19 

42 

2  21.38 

0.76 

3  21.87 

0.68 

4  16.82 

0.62 

5    6.23 

0.55 

5  50.05 

0.49 

6  28.26 

0.42 

18 

43 

2  22.43 

0.77 

3  22.83 

0.70 

4  17.69 

0.63 

5    7.01 

0.57 

5  50.73 

0.50 

6  28.83 

0.43 

17 

44 

2  2348 

0.79 

3  23.79 

0.71 

4  18.56 

0.65 

5    7.78 

0.58 

5  51.41 

0.52 

6  29.44 

0.44 

16 

45 

2  24.53 

0.81 

3  24.75 

0.73 

4  19.43 

0.66 

5    8.55 

0.59 

5  52.09 

0.53 

6  30.03 

0.45 

15 

46 

5    2  25.58 

0.83 

5    3  25.76 

0.74 

5    4  20.30 

0.68 

5    5    9.32 

0.61 

5    5  52.77 

0.54 

•6    6  30.62 

0.46 

14 

47 

2  26.63 

0.84 

3  26.67 

0.76 

4  21.16 

069 

5  10.09 

0.62 

5  53.45 

0.55 

6  31.20 

0.47 

13 

48 

2  27.67 

0.86 

3  27.62 

0.78 

4  22.02 

0.70 

5  10.86 

0.63 

5  54.13 

0.57 

6  31.78 

0.48 

12 

49 

2  28.71 

0.88 

3  28.57 

0.80 

4  22.88 

0.72 

5  11.63 

0.65 

5  54.80 

0.58 

6  32.36 

0.4! 

11 

50 

2  29.75 

0.90 

3  29.52 

0.82 

4  23.74 

0.74 

5  12.39 

0.66 

5  55.47 

0.59 

6  32.04 

0.50 

10 

51 

5    2  30.79 

0.92 

5    3  30.47 

0.84 

5    4  24.60 

0.75 

5    5  13.15 

0.68 

5    5  56.13 

0.60 

5  .  6  33.52 

0.51 

9 

52 

2  31.83 

0.94 

3  31.42 

0.86 

4  25.46 

0.77 

5  13.91 

0.69 

5  56.80 

0.61 

6  34.10 

0.52 

8 

53 

2  32.87 

0.95 

3  32.37 

0.87 

4  26.31 

0.78 

5  14.67 

0.70 

5  57.47 

0.62 

6  34.67 

0.53 

7 

54 

2  33.91 

0.97 

3  33.31 

0.89 

4  27.16 

0.80 

5  15.43 

0.72 

5  58.14 

0.63 

6  35.24 

0.54 

6 

55 

2  34.94 

0.99 

3  34.25 

0.91 

4  28.01 

0.81 

5  16.19 

0.73 

5  58.81 

0.64 

6  35.81 

0.55 

5 

56 

5    2  35.98 

1.01 

5    3  35.19 

0.92 

5    4  28.86 

0.83 

5    5  16.95 

0.75 

t>    5  59.47 

0.65 

5    6  36.38 

0.56 

4 

57 

2  37.01 

1.02 

3  36.13 

0.93 

4  29.71 

0.84 

5  17.71 

0.76 

6    0.13 

0.66 

6  36.95 

0.57 

3 

58 

2  38.04 

1.04 

3  37.07 

0.95 

4  30.55 

0.86 

5  18.46 

0.77 

6    0.79 

0.67 

6  37.52 

0.58 

2 

59 

-2  39.07 

1.06 

3  38.01 

0.96 

4  31.39 

0.87 

5  19.21 

0.78 

6    1.45 

0.68 

6  38.09 

'0.59 

1 

60 

2  40.10 

1.08 

3  38.94 

0.98 

4  32.23 

0.88 

5  19.96 

0.79 

6    2.10 

0.70 

6  38.65 

0.60 

0 

1OI°+ 

1OO°+ 

99°+ 

98°+ 

97°+ 

96°+ 

y 

28  1  °— 

2SO°— 

279°— 

278°— 

277°— 

276°— 

y 

347 


TABLE  CXXXVII.    ARGUMENT  77. 


Equation  =  18500"  sin  y. 


264°— 

265°— 

266°— 

267°- 

268°— 

y 

84°+ 

85°+ 

86°+ 

87°+ 

88°+ 

E 

Equation. 

p.  p. 

Equation.' 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

p.p. 

Equation. 

d 

a     6  31.65 

n 

0.00 

§    7    §.60 

<?.oo 

5°    7  34.92 

0.00 

o      /      it 
5     7  5465 

6'.oo 

5     8    8.73 

0.00 

5    8  17.18 

0.00 

60 

i 

6  39.21 

0.01 

7  10.07 

0.01 

7  35.29 

0.01 

'   7  54.93 

0.00 

8    8.92 

0.00 

8  17.27 

0.00 

59 

2 

6  39.77 

0.02 

7  10.54 

0.01 

7  35.66 

0.01 

7  55.21 

0.01 

8    9.11 

0.00 

8  17.36 

0.00 

58 

3 

6  40.33 

0.03 

7  11.01 

0.02 

7  36.03 

0.02 

7  55.49 

0.01 

8    9.29 

o.oi 

8  17.45 

tuio 

57 

4 

6  40.89 

0.04 

7  11.47 

0.02 

7  156.40 

0.02 

7  55.76 

0.01 

>      9  17 

0.01 

8  17.54'     0.00 

56 

5 

6  41.45 

0.05 

7  11.93 

0.03 

7  36.77 

0.03 

7  56.03 

0.02 

8     9.65 

0.01 

8  17.62 

0.00 

55 

6 

5    6  42.01 

0.06 

5    7  12.39 

0.04 

5    7  37.14 

0.03 

5    7  56.30 

0.02 

5    8    9.83 

0.01 

5    8  17.71 

0.01 

54 

7 

6  42.56 

0.07 

7  12.85 

0.04 

7  37.51 

0.04 

7  56.57 

0.03 

8  10.01 

0.02 

8  17.78 

0.01 

53 

8 

6  43.11      0.08 

7  13.81      0.05 

7  37.87 

0.04 

7  56.84 

0.03 

8  10.19 

0.02 

8  17.  -7 

0.01 

52 

!> 

6  43.66 

0.09 

7  13.77     0.06 

7  38.23 

0.05 

7  57.11 

(1.04 

8  10.36     0.02 

8  17.95,     0.01 

51 

10 

6  44.21 

0.09 

7  14.22 

0.07 

7  38.59 

0.05 

7  57.38 

0.04 

8  10.53 

0.02 

8  18.03 

0.01 

50 

11 

5    6  4476 

0.10 

5    7  14.67 

0.07 

5    7  38.95 

0.06 

5    7  57.65 

0.04 

5    8  10.70 

0.02 

5    8  18.11 

0.01 

•19 

14 

6  45.30 

0.11 

7  15.12 

0.08 

7  39.31 

0.06 

7  57.92 

0.04 

8  10.87!     0.02 

8  18.19 

0.01 

•1* 

i:t 

6  45.84 

0.12 

7  15.57 

0.09 

7  39.67 

0.07 

7.  58.18 

0.05 

8  11.04 

0.02 

8  18.27 

0.02 

47 

14 

6  4(3.38 

0.12 

7  16.02 

0.10 

7  40.03 

0.07 

7  58.44 

0.05 

8  11.21 

0.03 

8  18.34 

0.02 

46 

15 

6  46.92 

0.13 

7  16.46 

0.10 

7  40.38 

0.08 

7  58.70 

0.05 

8  11.37 

0.03 

8  18.41 

0.02 

45 

16 

5    6  47.46 

0.14 

5    7  16.91 

0.11 

5    7  40.73 

0.08 

5    7  58.96 

0.06 

5    8  11.53 

0.03 

5    8  18.48 

0.02 

44 

17 

6  48.00 

0.15 

7  17.35 

0.12 

7  41.68 

0.09 

7  59.22     0.06 

8  11.69 

0.03 

8  18.55 

0.02 

43 

18 

6  48.54 

0.16 

7  17.79 

0.12 

7  41.43 

0.09 

7  59.48     0.06 

8  11.85 

0.04 

8  18.62 

0.02 

49 

1!) 

6  49.07 

0.17 

7  18.23 

0.13 

7  41.78 

0.10 

7  59.73!    0.07 

8  12.01 

0.04 

s  i.*.69 

0.02 

41 

20 

6  49.60 

0.17 

7  18.67 

0.14 

7  42.13 

0.11 

7  59.98     0.07 

8  12.17 

0.05 

8  18.75 

O.I  2 

40 

21 

5    6  50.13 

0.18 

5    7  19.11 

0.15 

5    7  42.47 

0.12 

5    8    0.23^    0.07 

5    8  12.33 

0.05 

5    8  18.81 

0.02 

39 

22 

6  50.66 

0.19 

7  19.55 

o.ir. 

7  42.81 

0.12 

8    0.481     0.07 

8  12.48 

0.05 

8  18.fc7,     0.02 

38 

23 

6  51.191     0.20 

7  19.98 

0.16 

7  43.15 

0.13 

8    0.73|    0.08 

8  12.63 

0.05 

8  1*.93      O.C2 

37 

24 

6  51.72     0.20 

7  20.41 

0.17 

7  43.49 

0.13 

8    0.97!     0.08 

8  12.7*      o.ri; 

8  18.99      0.02 

3G 

25 

6  52.21 

0.21 

7  20.84 

0.18 

7  43.83 

0.14 

8    1.21 

0.08 

8  12.93 

0.06 

8  19.04      O.I  •-' 

35 

26 

5    6  52.76 

0.22 

5    7  21.27 

0.18 

5    7  44.17 

0.14 

5    8    1.45 

0.09 

5    8  13.08 

0.06 

5    8  19.09     0.112 

34 

27 

(i  53.2*     0.2:1 

7  21.70 

0.19 

7  44.50 

0.15 

8    1.69 

0.09 

8  13.23 

0.06 

8  19.14      002 

33 

23 

6  53.80     0.24 

7  22.12 

0.20 

7  44.83 

0.15 

8    1.93 

0.10 

8  13.38     0.07 

8  19.19     0.02 

39 

29 

6  54.32     0.25 

7  22.54 

0.20 

7  45.16 

0.16 

8    2.17 

0.10 

8  13.52     0.07 

8  19.24      0.02 

31 

30 

6  54.83 

0.26 

7  22.96 

0.21 

7  45.49 

0.16 

8    2.40 

0.1  1 

8  13.66     0.07 

8  19.2!) 

0.02 

30 

31 

5    6  55.34 

0.27 

5    7  23.38 

0.22 

5    7  45.82 

0.16 

5    8    2.63 

0.11 

5    8  13.80     0.07 

5    8  19.34 

0.02 

2!) 

32 

,,  „_  a_ 

d  .,...-.. 

ox 

7  23.80     0.23 

7  46.15 

0.17 

8    2.86     0.12 

8  13.94!     0.08 

8  19.38:     0.02 

88 

33 

6  56.36 

0.2!) 

7  24.22 

0.23 

7  46.47 

0.17 

8    3.09     0.12 

8  14.08     0.08 

8  19.42     0.02 

27 

34 

6  56.87 

0.29 

7  24.63 

021 

7  46.79 

0.18 

8    3.32     0.13 

8  14.22 

0.08 

8  19,10      (M  3 

26 

35 

6  57.38 

0.30 

7  25.04 

0.25 

7  47.11 

0.18 

8    3.55 

0.13 

8  14.35 

0(19 

8  19.50 

0.03 

25 

36 

5    6  57.89 

0.31 

5    7  25.45 

0.25 

5    7  47.43 

0.19 

5    8    3.78 

0.13 

5    8  14.48 

0.09 

5    8  19.54 

0.03 

24 

37 

0.32 

7  25.-6 

0.26 

7  47.75 

0.19 

8    4.00     0.14 

8  14.61      0.09 

8  19.58,     0.03 

23 

33 

(i  :.-.'.«i 

0.33 

7  26.27 

0.27 

7  48.07 

0.20 

8    4.22     0.14 

8  14.74 

0.09 

8  19.62      0.03 

22 

SB 

li  .V.I.  in 

0.33 

7  26.68 

0.27 

7  48.39 

0.30 

8    4.44 

0.14 

8  14.87 

11.119 

8  19.65      0.03 

21 

40 

6  59.90 

0.34 

7  27.09 

0.28 

7  48.70 

0.21 

8    4.66 

0.15 

8  15.00 

0.09 

8  19.68     0.03 

BO 

41 

5    7    0.40 

0.35 

5    7  27.50 

028 

5    7  49.01 

0.21 

5    8    4.88 

0.15 

5    8  15.12 

0.09 

5    8  19.71 

0.03 

19 

!•< 

7    0.90 

0.36 

7  27.91 

0.29 

7  49.32 

0.22 

8    5.10 

0.15 

8  1524 

0.10 

8   19.74 

0.03 

18 

43 

7    1.40 

HIT 

7  2-3] 

0.30 

7  49.63 

022 

8     5.32 

0.15 

8  15.36 

0.1(1 

8  19.77 

0.03 

17 

44 

7    1.90 

0.38 

7  2*.7I 

0.31 

7  49.94 

0.23 

8    5.53 

0.16 

8  15.48 

0.10 

8  19.80     0.04 

16 

45 

7    2.39 

113- 

7  gfcii 

0.31 

7  50.25 

0.23 

8    5.74 

0.16 

8  15.60 

0.11 

8  19,-J 

0.04 

15 

46 

.->    7    8.88 

0.39 

5     7  29.51 

0.32 

5    7  50  .5T 

0.24 

5    8    595 

0.17 

5    8  15.72 

0.11 

5    8  19.84 

0104 

14 

47 

7     3.37 

0.4D 

7  29.91 

0.33 

7  50,-d 

0.24 

8    6.16 

0.17 

8  15.84     0.11 

H    I9,-0 

0.04 

13 

48 

7    3.86 

0.41 

7  30.31 

0.34 

7  51.16 

0.88 

8    6.37 

0.17 

8  15.95     0.11 

*   19.*- 

0.04 

12 

T> 

7    4.35 

0.42 

7  3o.7( 

0.34 

7  51.46 

0.26 

8    6.58 

0.18 

8  16.06     0.12 

,*   19.90 

0.04 

11 

50 

7    -1-1 

0.43 

7  31.0!) 

0.35 

7  51.76 

0.27 

8    6.78 

0.18 

8  16.17     0.12 

8  19.92 

0.04 

10 

:,1 

5    7    5.32     0.41 

5    7  31.48 

0.36 

5    7  52.06 

0.27 

5    8    6.98 

0.18 

5    8  16.28     0.12 

5    8  19.94 

0.04 

9 

69 

7    5.-n      0  i:, 

7  31.  H7 

0.36 

7  52.a 

0.98 

8    7.18 

0.19 

8  li;.:!9 

0.12 

,-    I9.!T. 

0.04 

8 

M 

7    (i/.'-      Dili 

7  32.21 

0.37 

7  52.65 

,,._.- 

8    7.38 

0.19 

.-    lli.50 

0.13 

,-    19!  I. 

0.04 

7 

:,l 

7    6.76      0.47 

7  32  IM     0.3- 

7  52.94 

0.29 

8    7.5H 

0.19 

.-    llrdll 

0.13 

S    19.17 

0.05 

6 

7     7.21 

0.47 

7  33.03      0.39 

7  53.23 

OStB 

8    7.78 

0.20 

8  16.70 

0.13 

8  19.98 

0.05 

5 

E6 

5     7     772 

048 

5    7  3:;  n 

0.3:i 

5    7  :.:;.-  2 

0.80 

5    8    7.97 

0.20 

5    8  1i;-o 

II  II 

5     8  199* 

0.05 

4 

:.7 

7    i-.i: 

B.49 

7   33.79       0,10 

7  .-,:!,*  i 

0.311 

8    8.16 

0.21 

0.14 

8   19.99 

0.05 

8 

58 

7   f.ia;    o,-,ii 

7  34.17      0.41 

7  51.0! 

0.81 

8    8.35 

n  -.'1 

*    17.00 

0.14 

-    19.99      0.05 

2 

60 

7      !U:i       0.51 

7  3  1  .V,      01  1 

7  64.37 

0.31 

8    854 

058 

I-    17.09 

0.11 

x  2o.ro 

0.05 

1 

7     !M*i      0..-.I 

-.'      0.12 

7  54.65 

0.39 

8    8.73 

0.22 

8  17.18 

0.14 

8  20.00 

0.05 

0 

9.V+ 

94°+ 

9»°+ 

92°+ 

91°+ 

90°+ 

y 

27.1- 

274°- 

273°— 

272°— 

271°— 

27O°— 

y 

348 


UNIVERSITY  OF  CALIFORNIA  LIBRARY 
BERKELEY 

Return  to  desk  from  which  borrowed. 
This  book  is  DUE  on  the  last  date  stamped  below. 


NDMY   L1BR 


L     1958 


RY 


LD  21-100m-9,'48(B399il6)476 


ASTRONOMY 
LIBRARY 

UNIVERSITY  OF  CALIFORNIA  LIBRARY 


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